%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV802-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 : Fri Sep 25 03:24:14 PM UTC 2026
% Result : Unsatisfiable 26.83s 4.36s
% Output : CNFRefutation 26.84s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f732ERROR: Could not build tree for root c_25514ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1] : c_List_Oappend(X0,c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Oappend(X0,X1,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv2_5) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X4] :
( X1 = X4
| c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append1__eq__conv_1) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4] :
( X0 = X3
| c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append1__eq__conv_0) ).
fof(f14,axiom,
! [X2,X0,X1] :
( X1 = c_List_Olist_ONil(X2)
| X0 != c_List_Oappend(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv2_0) ).
fof(f15,plain,
! [X2,X0,X1] :
( c_List_Olist_ONil(X2) = X1
| c_List_Oappend(X1,X0,X2) != X0 ),
inference(reorient_equations,[],[f14]) ).
fof(f18,axiom,
! [X2,X0,X1] :
( X1 = c_List_Olist_ONil(X2)
| X0 != c_List_Oappend(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv_0) ).
fof(f19,plain,
! [X2,X0,X1] :
( c_List_Olist_ONil(X2) = X1
| c_List_Oappend(X0,X1,X2) != X0 ),
inference(reorient_equations,[],[f18]) ).
fof(f22,axiom,
! [X2,X0,X1] : c_List_Oset(c_List_Oappend(X0,X1,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X0,X2),c_List_Oset(X1,X2),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__append_0) ).
fof(f23,axiom,
! [X2,X0,X1] :
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_1) ).
fof(f24,plain,
! [X2,X0,X1] :
( c_List_Olist_ONil(X2) = X1
| c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( X0 = c_List_Olist_ONil(X2)
| c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_0) ).
fof(f26,plain,
! [X2,X0,X1] :
( c_List_Olist_ONil(X2) = X0
| c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2) ),
inference(reorient_equations,[],[f25]) ).
fof(f32,axiom,
! [X0,X1] : X0 = c_List_Oappend(c_List_Olist_ONil(X1),X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).
fof(f33,plain,
! [X0,X1] : c_List_Oappend(c_List_Olist_ONil(X1),X0,X1) = X0,
inference(reorient_equations,[],[f32]) ).
fof(f35,axiom,
! [X0,X1] : X0 = c_List_Oappend(X0,c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv_1) ).
fof(f36,plain,
! [X0,X1] : c_List_Oappend(X0,c_List_Olist_ONil(X1),X1) = X0,
inference(reorient_equations,[],[f35]) ).
fof(f40,axiom,
! [X2,X3,X0,X1] :
( X1 = X3
| c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_same__append__eq_0) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__same__eq_0) ).
fof(f42,axiom,
! [X2,X3,X0,X1] : c_List_Oappend(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist_OCons(X0,c_List_Oappend(X1,X3,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_5) ).
fof(f51,axiom,
! [X2,X3,X0,X1] : c_in(X0,c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,X3),X3),X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__set__conv__decomp_1) ).
fof(f56,axiom,
! [X2,X3,X0,X1] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X0,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__Says__rev_0) ).
fof(f57,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__Notes__rev_1) ).
fof(f58,plain,
! [X2,X0,X1] :
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,X0) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,axiom,
! [X0,X1] :
( X1 = c_List_Olist_ONil(X0)
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_List_Oset(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty2_0) ).
fof(f60,plain,
! [X0,X1] :
( c_List_Olist_ONil(X0) = X1
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_List_Oset(X1,X0) ),
inference(reorient_equations,[],[f59]) ).
fof(f67,axiom,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
fof(f68,axiom,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
fof(f70,axiom,
! [X0,X1] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__Un_0) ).
fof(f77,axiom,
! [X2,X0,X1] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1)),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__notin__image__shrK_0) ).
fof(f78,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X0,tc_fun(X2,tc_bool))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
fof(f87,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
fof(f88,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
fof(f89,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
fof(f90,axiom,
! [X2,X0,X1] : c_List_Olist_ONil(X0) != c_List_Olist_OCons(X1,X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
fof(f91,axiom,
! [X2,X3,X0,X1] :
( X1 = X3
| c_Event_Oevent_ONotes(X0,X1) != c_Event_Oevent_ONotes(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_1) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| c_Event_Oevent_ONotes(X2,X3) != c_Event_Oevent_ONotes(X0,X1) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| c_Event_Oevent_ONotes(X0,X1) != c_Event_Oevent_ONotes(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_0) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| c_Event_Oevent_ONotes(X2,X3) != c_Event_Oevent_ONotes(X0,X1) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_0) ).
fof(f96,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X0 ),
inference(reorient_equations,[],[f95]) ).
fof(f102,axiom,
! [X2,X3,X0,X1,X4] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X0,X1,X2,X3),c_Set_Oimage(X0,X4,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X2,tc_bool)),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I57_J_0) ).
fof(f104,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(X0,X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).
fof(f108,axiom,
! [X2,X0,X1] :
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__Notes__rev_0) ).
fof(f113,axiom,
! [X0,X1] : c_lessequals(c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__insert_0) ).
fof(f116,axiom,
! [X2,X0,X1] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Notes_0) ).
fof(f117,axiom,
! [X0,X1] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__synth__Un_0) ).
fof(f134,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f136,axiom,
! [X2,X3,X0,X1] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1)),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).
fof(f137,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__mono_0) ).
fof(f139,axiom,
! [X0] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__nil__subset_0) ).
fof(f140,axiom,
! [X2,X3,X0,X1] :
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_Set_Oimage(X1,X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = X2
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_Set_Oimage(X1,X2,X3,X0) ),
inference(reorient_equations,[],[f140]) ).
fof(f143,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(hAPP(c_Public_OpublicKey(X2),X0),c_Set_Oimage(c_Public_OpublicKey(X3),X1,tc_Message_Oagent,tc_nat),tc_nat)
| c_in(X0,X1,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__image__eq_1) ).
fof(f144,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(hAPP(c_Public_OpublicKey(X0),X2),c_Set_Oimage(c_Public_OpublicKey(X1),X3,tc_Message_Oagent,tc_nat),tc_nat)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__image__eq_0) ).
fof(f145,axiom,
! [X0,X1] :
( X0 = X1
| c_Message_OinvKey(X0) != c_Message_OinvKey(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
fof(f146,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(c_Set_Oimage(X0,X4,X5,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X5)
| c_in(hAPP(X0,X1),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
fof(f147,axiom,
! [X2,X3,X0,X1] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1)) != hAPP(c_Public_OpublicKey(X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__neq__publicKey_0) ).
fof(f150,axiom,
! [X0] : c_List_Oset(c_List_Olist_ONil(X0),X0) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty_1) ).
fof(f151,plain,
! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X0),X0),
inference(reorient_equations,[],[f150]) ).
fof(f153,axiom,
! [X2,X0,X1] : ~ c_in(hAPP(c_Public_OpublicKey(X0),X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__notin__image__shrK_0) ).
fof(f155,axiom,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
fof(f157,axiom,
! [X0,X1] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Un_0) ).
fof(f158,axiom,
! [X2,X3,X0,X1] :
( X1 = X3
| hAPP(c_Public_OpublicKey(X0),X1) != hAPP(c_Public_OpublicKey(X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__inject_1) ).
fof(f159,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| hAPP(c_Public_OpublicKey(X0),X1) != hAPP(c_Public_OpublicKey(X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__inject_0) ).
fof(f160,axiom,
! [X0] : c_Message_Oparts(c_Message_Osynth(X0)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__synth_0) ).
fof(f163,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).
fof(f164,axiom,
! [X0,X1] :
( ~ c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_0) ).
fof(f167,axiom,
! [X2,X0,X1] : c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__empty_0) ).
fof(f169,axiom,
! [X2,X3,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
fof(f170,axiom,
! [X2,X3,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
fof(f177,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
fof(f178,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
fof(f190,axiom,
! [X2,X0,X1] : c_lessequals(c_Event_Oknows(X0,X1),c_Event_Oknows(X0,c_List_Olist_OCons(X2,X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
fof(f195,axiom,
! [X2,X0,X1] :
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).
fof(f196,plain,
! [X2,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = X1
| c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(reorient_equations,[],[f195]) ).
fof(f197,axiom,
! [X2,X0,X1] :
( X0 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).
fof(f198,plain,
! [X2,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = X0
| c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(reorient_equations,[],[f197]) ).
fof(f203,axiom,
! [X2,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
fof(f207,axiom,
! [X2,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
fof(f208,plain,
! [X2,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(reorient_equations,[],[f207]) ).
fof(f214,axiom,
! [X0] : c_Message_Osynth(c_Message_Osynth(X0)) = c_Message_Osynth(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__idem_0) ).
fof(f215,plain,
! [X0] : c_Message_Osynth(X0) = c_Message_Osynth(c_Message_Osynth(X0)),
inference(reorient_equations,[],[f214]) ).
fof(f216,axiom,
! [X0] : c_Message_Oanalz(c_Message_Osynth(X0)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__synth_0) ).
fof(f221,axiom,
! [X2,X0,X1] : c_List_Olist_OCons(X0,X1,X2) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
fof(f225,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__mono_0) ).
fof(f228,axiom,
! [X2,X0,X1] : ~ c_in(hAPP(c_Public_OshrK,X0),c_Set_Oimage(c_Public_OpublicKey(X1),X2,tc_Message_Oagent,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__notin__image__publicKey_0) ).
fof(f229,axiom,
! [X2,X0,X1] : c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oused(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__into__used_0) ).
fof(f232,axiom,
! [X2,X3,X0,X1] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Says_0) ).
fof(f233,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2)
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff_0) ).
fof(f237,axiom,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey_0) ).
fof(f241,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__trans_0) ).
fof(f242,axiom,
! [X0] : c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
fof(f252,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool))
| c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
fof(f253,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X0,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool))
| c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
fof(f256,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
fof(f258,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
fof(f263,axiom,
! [X2,X3,X0,X1,X4] :
( X0 = X3
| c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
fof(f264,axiom,
! [X2,X3,X0,X1,X4] :
( X1 = X4
| c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
fof(f269,axiom,
! [X2,X0,X1] : hAPP(c_Public_OshrK,X0) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_priK__neq__shrK_0) ).
fof(f273,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool))
| X0 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| X0 = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = X0
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) = X0 ),
inference(reorient_equations,[],[f273]) ).
fof(f275,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| c_lessequals(c_Set_Oimage(X0,X1,X2,X3),c_Set_Oimage(X0,X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__mono_0) ).
fof(f286,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__cong_0) ).
fof(f292,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X2,tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__subset__Un_0) ).
fof(f297,axiom,
! [X0] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
fof(f302,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_ONotes(X2,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__used_0) ).
fof(f305,axiom,
! [X2,X3,X0,X1] :
( c_in(X3,X0,X2)
| ~ c_lessequals(X0,c_Set_Oinsert(X3,X1,X2),tc_fun(X2,tc_bool))
| c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_0) ).
fof(f309,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4) = c_Set_Oimage(X0,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X1,X2,X3)
| c_Set_Oimage(X0,X2,X3,X4) = c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4) ),
inference(reorient_equations,[],[f309]) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Set_Oinsert(X0,X3,X2),X1,tc_fun(X2,tc_bool))
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
fof(f314,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singletonE_0) ).
fof(f315,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f318,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth_0) ).
fof(f319,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth_1) ).
fof(f320,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OMPair_0) ).
fof(f321,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__used_0) ).
fof(f322,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__used_1) ).
fof(f323,axiom,
! [X2,X0,X1] : c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2) = c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
fof(f325,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__parts__UnE_0) ).
fof(f326,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__trans_0) ).
fof(f327,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).
fof(f328,axiom,
! [X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__synth_0) ).
fof(f330,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I61_J_0) ).
fof(f331,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__trans_0) ).
fof(f332,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__cut_0) ).
fof(f333,axiom,
! [X2,X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__analz_0) ).
fof(f336,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
fof(f337,axiom,
! [X0] : c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__image__Key_0) ).
fof(f338,plain,
! [X0] : c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg) = c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)),
inference(reorient_equations,[],[f337]) ).
fof(f340,axiom,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
fof(f341,axiom,
! [X0,X1] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Agent__synth_0) ).
fof(f343,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_lessequals(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_0) ).
fof(f350,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X3)
| c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_1) ).
fof(f351,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X2,X3)
| c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_0) ).
fof(f352,axiom,
! [X0,X1] : ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
fof(f356,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2)
| c_in(X0,X3,X2)
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).
fof(f359,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
fof(f363,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| c_lessequals(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X3,X2),tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
fof(f364,axiom,
! [X2,X3,X0,X1,X4] : c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4) = c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4] : c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4) = c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4),
inference(reorient_equations,[],[f364]) ).
fof(f366,axiom,
! [X2,X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_Set_Oinsert(X1,X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
fof(f367,axiom,
! [X2,X3,X0,X1,X4] :
( X1 = X4
| X1 = X3
| c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) != c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
fof(f368,axiom,
! [X2,X3,X0,X1,X4] :
( X1 = X4
| X0 = X4
| c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) != c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
fof(f369,axiom,
! [X2,X3,X0,X1,X4] :
( X0 = X3
| X1 = X3
| c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) != c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
fof(f370,axiom,
! [X2,X3,X0,X1,X4] :
( X0 = X3
| X0 = X4
| c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) != c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
fof(f371,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
fof(f374,axiom,
! [X2,X3,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
fof(f375,axiom,
! [X2,X3,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) = c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
fof(f376,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X2,tc_fun(X3,tc_bool))
| c_lessequals(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
fof(f377,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Set_Oinsert(X3,X0,X2),X1,tc_fun(X2,tc_bool))
| c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).
fof(f379,axiom,
! [X2,X0,X1] :
( X0 = X2
| c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
fof(f381,axiom,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OInj_0) ).
fof(f390,axiom,
! [X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__used__empty_0) ).
fof(f391,axiom,
! [X2,X0,X1] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Event_Oused(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__into__used_0) ).
fof(f393,axiom,
! [X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
| c_in(X0,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__image__eq_0) ).
fof(f396,axiom,
! [X0,X1] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__Un_0) ).
fof(f397,axiom,
! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
fof(f398,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__mono_0) ).
fof(f399,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/sandbox/benchmark/theBenchmark.p',cls_parts__empty_0) ).
fof(f400,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),
inference(reorient_equations,[],[f399]) ).
fof(f401,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
fof(f402,axiom,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).
fof(f403,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__parts__subset__parts_0) ).
fof(f412,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,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(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__sing_0) ).
fof(f414,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__analz__insert_0) ).
fof(f423,axiom,
! [X0] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__notin__used__empty_0) ).
fof(f424,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono_0) ).
fof(f425,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/sandbox/benchmark/theBenchmark.p',cls_analz__empty_0) ).
fof(f426,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),
inference(reorient_equations,[],[f425]) ).
fof(f427,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__iff_1) ).
fof(f428,axiom,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__iff_0) ).
fof(f429,axiom,
! [X0] : c_lessequals(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
fof(f430,axiom,
! [X0,X1] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
fof(f431,plain,
! [X0,X1] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(reorient_equations,[],[f430]) ).
fof(f432,axiom,
! [X2,X3,X0,X1] :
( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(tc_Message_Omsg,tc_bool)))
| c_Message_Oanalz(X2) != c_Message_Oanalz(X3)
| c_Message_Oanalz(X0) != c_Message_Oanalz(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__cong_0) ).
fof(f433,plain,
! [X2,X3,X0,X1] :
( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(tc_Message_Omsg,tc_bool)))
| c_Message_Oanalz(X3) != c_Message_Oanalz(X2)
| c_Message_Oanalz(X0) != c_Message_Oanalz(X1) ),
inference(reorient_equations,[],[f432]) ).
fof(f434,axiom,
! [X2,X0,X1] : c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Set_Oinsert(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Notes_0) ).
fof(f435,plain,
! [X2,X0,X1] : c_Set_Oinsert(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg) = c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)),
inference(reorient_equations,[],[f434]) ).
fof(f452,axiom,
! [X2,X3,X0,X1,X4] : c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_ONotes(X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I6_J_0) ).
fof(f455,axiom,
! [X2,X0,X1] : hAPP(c_Public_OshrK,X0) != hAPP(c_Public_OpublicKey(X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pubK__neq__shrK_0) ).
fof(f457,axiom,
! [X0] : c_Message_OinvKey(hAPP(c_Public_OshrK,X0)) = hAPP(c_Public_OshrK,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
fof(f458,plain,
! [X0] : hAPP(c_Public_OshrK,X0) = c_Message_OinvKey(hAPP(c_Public_OshrK,X0)),
inference(reorient_equations,[],[f457]) ).
fof(f460,axiom,
! [X0,X1] :
( ~ c_in(hAPP(c_Public_OshrK,X0),c_Set_Oimage(c_Public_OshrK,X1,tc_Message_Oagent,tc_nat),tc_nat)
| c_in(X0,X1,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__image__eq_0) ).
fof(f461,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert_0) ).
fof(f462,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__sing__imp__Un_0) ).
fof(f463,axiom,
! [X0,X1] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__subset_0) ).
fof(f464,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__synth_0) ).
fof(f467,axiom,
! [X0] : c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__Key_0) ).
fof(f468,plain,
! [X0] : c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)),
inference(reorient_equations,[],[f467]) ).
fof(f472,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X1,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).
fof(f479,axiom,
! [X0,X1] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert_0) ).
fof(f488,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
fof(f489,plain,
! [X2,X0,X1] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,X2) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) ),
inference(reorient_equations,[],[f488]) ).
fof(f490,axiom,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONil_0) ).
fof(f493,axiom,
! [X2,X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lemma2_0) ).
fof(f495,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
fof(f498,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_0) ).
fof(f499,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_1) ).
fof(f501,axiom,
! [X2,X0,X1] :
( ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OCrypt_0) ).
fof(f502,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
fof(f505,axiom,
! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__image__Key_0) ).
fof(f508,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X3,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut_0) ).
fof(f509,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).
fof(f510,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_Message_Osynth(c_Message_Oanalz(X1)) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))) ),
inference(reorient_equations,[],[f509]) ).
fof(f513,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oanalz(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).
fof(f514,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X1) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) ),
inference(reorient_equations,[],[f513]) ).
fof(f516,axiom,
! [X0,X1] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__Key__image__eq_0) ).
fof(f517,axiom,
! [X2,X0,X1] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).
fof(f518,axiom,
! [X0,X1] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oused(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq__shrK_0) ).
fof(f521,axiom,
! [X2,X3,X0,X1] : c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X0,X3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Says_0) ).
fof(f526,axiom,
! [X2,X0,X1] :
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__spies__bad__privateKey_0) ).
fof(f528,axiom,
! [X2,X0,X1] :
( ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X0,X1),X2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_OFake_0) ).
fof(f532,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_ODecrypt_0) ).
fof(f533,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).
fof(f534,axiom,
! [X2,X0,X1] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__pubK_0) ).
fof(f535,axiom,
! [X2,X3,X0,X1] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
fof(f536,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_ONotes(X1,X0),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).
fof(f537,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X3),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X2)))),X3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS1_0) ).
fof(f538,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).
fof(f540,axiom,
! [X2,X0,X1] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Crypt__if_1) ).
fof(f541,axiom,
! [X2,X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Crypt__if_0) ).
fof(f542,plain,
! [X2,X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) ),
inference(reorient_equations,[],[f541]) ).
fof(f543,axiom,
! [X2,X0,X1] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__spies__pubK_0) ).
fof(f551,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X1))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),hAPP(c_Message_Omsg_OKey,X2)))),X3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_OOops_0) ).
fof(f552,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_ONotes(X2,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
fof(f556,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(X5,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X2))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS3_0) ).
fof(f557,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_Message_Oagent_OServer = X0
| ~ c_in(c_Event_Oevent_OSays(X5,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X2))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(reorient_equations,[],[f556]) ).
fof(f562,axiom,
! [X2,X0,X1] :
( c_Message_Oanalz(c_Set_Oinsert(X2,X0,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg))
| c_Message_Oanalz(X0) != c_Message_Oanalz(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__cong_0) ).
fof(f563,plain,
! [X2,X0,X1] :
( c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X0,tc_Message_Omsg))
| c_Message_Oanalz(X0) != c_Message_Oanalz(X1) ),
inference(reorient_equations,[],[f562]) ).
fof(f564,axiom,
! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Key_0) ).
fof(f565,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OFst_0) ).
fof(f566,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
fof(f568,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
fof(f569,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
fof(f570,axiom,
! [X0] : c_Message_Oanalz(c_Message_Oanalz(X0)) = c_Message_Oanalz(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__idem_0) ).
fof(f571,plain,
! [X0] : c_Message_Oanalz(X0) = c_Message_Oanalz(c_Message_Oanalz(X0)),
inference(reorient_equations,[],[f570]) ).
fof(f572,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X1,X3,X0),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
fof(f573,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__analz_0) ).
fof(f574,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
inference(reorient_equations,[],[f573]) ).
fof(f575,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insertI_0) ).
fof(f576,axiom,
! [X0,X1] :
( X0 = X1
| c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I1_J_0) ).
fof(f577,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X2,X3)
| c_in(X0,c_Set_Oinsert(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).
fof(f579,axiom,
! [X2,X0,X1] : c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_ONonce(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I37_J_0) ).
fof(f580,axiom,
! [X0,X1] : c_Message_Omsg_OAgent(X0) != hAPP(c_Message_Omsg_OKey,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I12_J_0) ).
fof(f581,axiom,
! [X0,X1] : hAPP(c_Message_Omsg_OKey,X0) != c_Message_Omsg_ONonce(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I31_J_0) ).
fof(f582,axiom,
! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Nonce_0) ).
fof(f583,axiom,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
fof(f584,axiom,
! [X2,X3,X0,X1,X4,X5] :
( X1 = X4
| c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
fof(f585,axiom,
! [X2,X3,X0,X1,X4,X5] :
( X2 = X5
| c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
fof(f586,axiom,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
fof(f587,axiom,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
fof(f589,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
fof(f590,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
fof(f591,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).
fof(f592,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
fof(f593,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(X1) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) ),
inference(reorient_equations,[],[f592]) ).
fof(f594,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,X0))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).
fof(f595,axiom,
! [X2,X0,X1] : c_Message_Omsg_OCrypt(X0,X1) != hAPP(c_Message_Omsg_OKey,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).
fof(f596,plain,
! [X2,X0,X1] : hAPP(c_Message_Omsg_OKey,X2) != c_Message_Omsg_OCrypt(X0,X1),
inference(reorient_equations,[],[f595]) ).
fof(f597,axiom,
! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
fof(f598,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oparts(X0)),
inference(reorient_equations,[],[f597]) ).
fof(f599,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Set_Oinsert(X3,X1,X2),X2)
| X0 = X3
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
fof(f602,axiom,
! [X0] : c_Message_Oanalz(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__parts_0) ).
fof(f603,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oanalz(c_Message_Oparts(X0)),
inference(reorient_equations,[],[f602]) ).
fof(f604,axiom,
! [X2,X0,X1] : c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OAgent(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I17_J_0) ).
fof(f605,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS4__lemma_0) ).
fof(f606,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = hAPP(c_Public_OshrK,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_2) ).
fof(f607,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| hAPP(c_Public_OshrK,X1) = X0 ),
inference(reorient_equations,[],[f606]) ).
fof(f609,axiom,
! [X0,X1] : c_Message_Omsg_ONonce(X0) != c_Message_Omsg_OAgent(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I11_J_0) ).
fof(f610,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f611,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X0),c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).
fof(f612,axiom,
! [X0,X1] :
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_1) ).
fof(f613,axiom,
! [X0,X1] :
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).
fof(f614,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
fof(f615,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(reorient_equations,[],[f614]) ).
fof(f616,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
fof(f618,axiom,
! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Agent_0) ).
fof(f619,axiom,
! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).
fof(f620,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
fof(f621,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_1) ).
fof(f622,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
fof(f623,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X0))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X1))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_3) ).
fof(f624,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
fof(f625,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) = X0 ),
inference(reorient_equations,[],[f624]) ).
fof(f627,axiom,
! [X0,X1] :
( X0 = X1
| hAPP(c_Message_Omsg_OKey,X0) != hAPP(c_Message_Omsg_OKey,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I4_J_0) ).
fof(f631,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).
fof(f632,axiom,
! [X2,X0,X1] : c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X2) = c_Set_Oinsert(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
fof(f633,plain,
! [X2,X0,X1] : c_Set_Oinsert(X0,X1,X2) = c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X2),
inference(reorient_equations,[],[f632]) ).
fof(f634,axiom,
! [X0,X1] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Nonce_0) ).
fof(f635,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__cut_0) ).
fof(f636,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X0,X5))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Oops__parts__spies_0) ).
fof(f637,axiom,
! [X2,X0,X1] : c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OCrypt(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I18_J_0) ).
fof(f638,axiom,
! [X2,X0,X1] : c_Message_Omsg_ONonce(X0) != c_Message_Omsg_OMPair(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
fof(f639,plain,
! [X2,X0,X1] : c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_ONonce(X0),
inference(reorient_equations,[],[f638]) ).
fof(f640,axiom,
! [X2,X3,X0,X1] : c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I48_J_0) ).
fof(f642,axiom,
! [X0,X1] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__in__knows_0) ).
fof(f644,axiom,
! [X0,X1] :
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__analz__shrK_0) ).
fof(f645,axiom,
! [X0,X1] :
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__analz__shrK_1) ).
fof(f647,axiom,
! [X0,X1] :
( X0 = X1
| c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I3_J_0) ).
fof(f648,axiom,
! [X2,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
fof(f652,axiom,
! [X2,X3,X0,X1] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
fof(f657,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
fof(f658,axiom,
! [X2,X3,X0,X1] :
( X1 = X3
| c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
fof(f659,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X0))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__S__message__form_1) ).
fof(f660,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X0))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4))) = X0
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(reorient_equations,[],[f659]) ).
fof(f661,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
fof(f663,axiom,
! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).
fof(f666,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_0) ).
fof(f667,axiom,
! [X2,X3,X0,X1] :
( X1 = X3
| c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_1) ).
fof(f668,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
fof(f670,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oanalz(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
fof(f671,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_Message_Oanalz(X1) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) ),
inference(reorient_equations,[],[f670]) ).
fof(f672,axiom,
! [X2,X3,X0,X1] :
( X1 = X3
| c_in(X0,X1,X2)
| c_in(X0,X3,X2)
| c_Set_Oinsert(X0,X1,X2) != c_Set_Oinsert(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__ident_0) ).
fof(f676,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
fof(f677,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) = X0 ),
inference(reorient_equations,[],[f676]) ).
fof(f678,axiom,
! [X0,X1] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Agent_0) ).
fof(f679,axiom,
! [X2,X0,X1] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__MPair_0) ).
fof(f680,axiom,
! [X2,X0,X1] : hAPP(c_Message_Omsg_OKey,X0) != c_Message_Omsg_OMPair(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I40_J_0) ).
fof(f681,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f682,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X0)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS5__lemma_0) ).
fof(f683,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).
fof(f684,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
fof(f687,axiom,
! [X0,X1] :
( X0 = X1
| hAPP(c_Public_OshrK,X0) != hAPP(c_Public_OshrK,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__injective_0) ).
fof(f688,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__parts__not__analz_0) ).
fof(f692,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f693,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f694,negated_conjecture,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f695,negated_conjecture,
v_Aa != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f696,plain,
c_Message_Oagent_OServer != v_Aa,
inference(reorient_equations,[],[f695]) ).
fof(f697,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f698,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_Aa,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f699,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f700,negated_conjecture,
c_in(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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f701,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f702,negated_conjecture,
~ c_in(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)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f703,negated_conjecture,
( ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| c_in(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)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f704,negated_conjecture,
( v_A != v_Aa
| v_B != v_Ba
| c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))) != v_Xa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_11) ).
fof(f705,plain,
( v_A != v_Aa
| v_B != v_Ba
| v_Xa != c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))) ),
inference(reorient_equations,[],[f704]) ).
tcf(c_673,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f692]) ).
tcf(c_674,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f693]) ).
tcf(c_675,negated_conjecture,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f694]) ).
tcf(c_676,negated_conjecture,
c_Message_Oagent_OServer != v_Aa,
inference(cnf_transformation,[],[f696]) ).
tcf(c_677,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f697]) ).
tcf(c_678,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_Aa,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f698]) ).
tcf(c_679,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(cnf_transformation,[],[f699]) ).
tcf(c_680,negated_conjecture,
c_in(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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f700]) ).
tcf(c_681,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f701]) ).
tcf(c_682,negated_conjecture,
~ c_in(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)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f702]) ).
tcf(c_683,negated_conjecture,
( c_in(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)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f703]) ).
tcf(c_684,negated_conjecture,
( ( v_B != v_Ba )
| ( v_A != v_Aa )
| ( c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))) != v_Xa ) ),
inference(cnf_transformation,[],[f705]) ).
tcf(c_685,plain,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f683]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X0,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X0)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f682]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f668]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f661]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnf_transformation,[],[f645]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f644]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(cnf_transformation,[],[f631]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ( c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X0))) = X4 )
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f625]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_694,plain,
! [X0: $i,X1: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnf_transformation,[],[f612]) ).
tcf(c_695,plain,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f591]) ).
tcf(c_696,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_ONotes(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f552]) ).
tcf(c_697,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X0))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(cnf_transformation,[],[f526]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) )
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ) ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) )
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X0) ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_702,plain,
! [X0: $i,X1: $i] :
( c_in(X0,X1,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OshrK,X0),c_Set_Oimage(c_Public_OshrK,X1,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f460]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Event_Oknows(X0,X1),c_Event_Oknows(X0,c_List_Olist_OCons(X2,X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f190]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( c_in(X5,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ( c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1))) = X5 )
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f660]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X2,X0),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f528]) ).
tcf(c_707,plain,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f490]) ).
tcf(c_708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X0))) = X5 )
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f677]) ).
tcf(c_709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( X4 = X9 )
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X9))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f623]) ).
tcf(c_710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( X2 = X8 )
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X9))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f622]) ).
tcf(c_711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( X1 = X7 )
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X9))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f621]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( X0 = X6 )
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X9))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f620]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( hAPP(c_Public_OshrK,X0) = X1 )
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f607]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X6))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f605]) ).
tcf(c_715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X3,X5),X6,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ( X1 = c_Message_Oagent_OServer )
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f557]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(X0),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X3)))),X0,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnf_transformation,[],[f537]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f636]) ).
tcf(c_719,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(cnf_transformation,[],[f615]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),hAPP(c_Message_Omsg_OKey,X3)))),X5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X6))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f551]) ).
tcf(c_721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f616]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( c_in(X6,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f594]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f590]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f589]) ).
tcf(c_725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_Event_Oknows(X0,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f572]) ).
tcf(c_726,plain,
! [X0: $i,X1: $i,X2: $i] : c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2) = c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),
inference(cnf_transformation,[],[f323]) ).
tcf(c_730,plain,
! [X0: $i] : c_List_Oset(c_List_Olist_ONil(X0),X0) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
inference(cnf_transformation,[],[f151]) ).
tcf(c_732,plain,
! [X0: $i,X1: $i] :
( ( c_List_Olist_ONil(X0) = X1 )
| ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_List_Oset(X1,X0) ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,X3),X3),X3),X3),
inference(cnf_transformation,[],[f51]) ).
tcf(c_736,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X0,X1),c_List_Oset(X2,X1),tc_fun(X1,tc_bool)) = c_List_Oset(c_List_Oappend(X0,X2,X1),X1),
inference(cnf_transformation,[],[f22]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ( c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f585]) ).
tcf(c_738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f584]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ( c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f583]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
inference(cnf_transformation,[],[f535]) ).
tcf(c_742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X0,X3),tc_Message_Omsg),
inference(cnf_transformation,[],[f521]) ).
tcf(c_745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X0,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg),
inference(cnf_transformation,[],[f56]) ).
tcf(c_746,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( hAPP(c_Message_Omsg_OKey,X0) != hAPP(c_Message_Omsg_OKey,X1) ) ),
inference(cnf_transformation,[],[f627]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( hAPP(c_Public_OshrK,X0) != hAPP(c_Public_OshrK,X1) ) ),
inference(cnf_transformation,[],[f687]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg),
inference(cnf_transformation,[],[f642]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f611]) ).
tcf(c_753,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),
inference(cnf_transformation,[],[f663]) ).
tcf(c_754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3) ) ),
inference(cnf_transformation,[],[f658]) ).
tcf(c_755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3) ) ),
inference(cnf_transformation,[],[f657]) ).
tcf(c_758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OMPair(X2,X3),
inference(cnf_transformation,[],[f640]) ).
tcf(c_759,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OAgent(X2),
inference(cnf_transformation,[],[f637]) ).
tcf(c_760,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f610]) ).
tcf(c_762,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Omsg_OCrypt(X0,X1) != hAPP(c_Message_Omsg_OKey,X2),
inference(cnf_transformation,[],[f596]) ).
tcf(c_763,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f517]) ).
tcf(c_766,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Omsg_OMPair(X0,X1) != hAPP(c_Message_Omsg_OKey,X2),
inference(cnf_transformation,[],[f680]) ).
tcf(c_767,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f564]) ).
tcf(c_768,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),
inference(cnf_transformation,[],[f679]) ).
tcf(c_770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3) ) ),
inference(cnf_transformation,[],[f667]) ).
tcf(c_771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3) ) ),
inference(cnf_transformation,[],[f666]) ).
tcf(c_772,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_ONonce(X2),
inference(cnf_transformation,[],[f639]) ).
tcf(c_774,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),
inference(cnf_transformation,[],[f619]) ).
tcf(c_775,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OAgent(X2),
inference(cnf_transformation,[],[f604]) ).
tcf(c_776,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f569]) ).
tcf(c_777,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f568]) ).
tcf(c_778,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f566]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f565]) ).
tcf(c_780,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_781,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f498]) ).
tcf(c_783,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_785,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_786,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f678]) ).
tcf(c_789,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f618]) ).
tcf(c_790,plain,
! [X0: $i,X1: $i] : c_Message_Omsg_OAgent(X0) != c_Message_Omsg_ONonce(X1),
inference(cnf_transformation,[],[f609]) ).
tcf(c_791,plain,
! [X0: $i,X1: $i] : hAPP(c_Message_Omsg_OKey,X0) != c_Message_Omsg_OAgent(X1),
inference(cnf_transformation,[],[f580]) ).
tcf(c_792,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) ) ),
inference(cnf_transformation,[],[f576]) ).
tcf(c_795,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg),
inference(cnf_transformation,[],[f341]) ).
tcf(c_798,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) ) ),
inference(cnf_transformation,[],[f647]) ).
tcf(c_799,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f634]) ).
tcf(c_802,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f582]) ).
tcf(c_803,plain,
! [X0: $i,X1: $i] : hAPP(c_Message_Omsg_OKey,X0) != c_Message_Omsg_ONonce(X1),
inference(cnf_transformation,[],[f581]) ).
tcf(c_804,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_ONonce(X2),
inference(cnf_transformation,[],[f579]) ).
tcf(c_805,plain,
! [X0: $i,X1: $i] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[],[f516]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_813,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f688]) ).
tcf(c_814,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f684]) ).
tcf(c_815,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oanalz(X1) )
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f671]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f635]) ).
tcf(c_818,plain,
! [X0: $i] : c_Message_Oanalz(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[],[f603]) ).
tcf(c_819,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f587]) ).
tcf(c_820,plain,
! [X0: $i] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[],[f574]) ).
tcf(c_821,plain,
! [X0: $i] : c_Message_Oanalz(c_Message_Oanalz(X0)) = c_Message_Oanalz(X0),
inference(cnf_transformation,[],[f571]) ).
tcf(c_822,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X2,X0,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)) )
| ( c_Message_Oanalz(X0) != c_Message_Oanalz(X1) ) ),
inference(cnf_transformation,[],[f563]) ).
tcf(c_823,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)) = c_Message_Oanalz(X1) )
| ~ c_in(X2,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_824,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f479]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X0,tc_fun(tc_Message_Omsg,tc_bool))) )
| ( c_Message_Oanalz(X2) != c_Message_Oanalz(X3) )
| ( c_Message_Oanalz(X0) != c_Message_Oanalz(X1) ) ),
inference(cnf_transformation,[],[f433]) ).
tcf(c_826,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(cnf_transformation,[],[f431]) ).
tcf(c_827,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f429]) ).
tcf(c_828,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_829,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_830,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_831,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f340]) ).
tcf(c_832,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_833,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_835,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f157]) ).
tcf(c_836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = X1 )
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f681]) ).
tcf(c_837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X3,X2)
| c_in(X0,X1,X2)
| ( X1 = X3 )
| ( c_Set_Oinsert(X0,X1,X2) != c_Set_Oinsert(X0,X3,X2) ) ),
inference(cnf_transformation,[],[f672]) ).
tcf(c_838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),
inference(cnf_transformation,[],[f652]) ).
tcf(c_841,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f648]) ).
tcf(c_842,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X2) = c_Set_Oinsert(X0,X1,X2),
inference(cnf_transformation,[],[f633]) ).
tcf(c_843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| ( X0 = X1 )
| ~ c_in(X0,c_Set_Oinsert(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f599]) ).
tcf(c_845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Set_Oinsert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f577]) ).
tcf(c_846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_Set_Oinsert(X3,X1,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) = c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2),
inference(cnf_transformation,[],[f375]) ).
tcf(c_849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),X3),
inference(cnf_transformation,[],[f374]) ).
tcf(c_850,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[],[f371]) ).
tcf(c_851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(X3,X0,X2),c_Set_Oinsert(X3,X1,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(X3,X0,X2),X1,tc_fun(X2,tc_bool))
| ~ c_in(X3,X1,X2)
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X3,X2)
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,X0,X3)
| c_lessequals(X0,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_859,plain,
! [X0: $i] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[],[f598]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) )
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f593]) ).
tcf(c_861,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f586]) ).
tcf(c_862,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f575]) ).
tcf(c_863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_864,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f463]) ).
tcf(c_865,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f462]) ).
tcf(c_866,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f461]) ).
tcf(c_869,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,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(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_870,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_871,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_872,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)),
inference(cnf_transformation,[],[f400]) ).
tcf(c_873,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_874,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f397]) ).
tcf(c_875,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(cnf_transformation,[],[f396]) ).
tcf(c_876,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_877,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_878,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_880,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_882,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(X0)),
inference(cnf_transformation,[],[f160]) ).
tcf(c_884,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f536]) ).
tcf(c_885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X1,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f472]) ).
tcf(c_887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_ONotes(X3,X4),
inference(cnf_transformation,[],[f452]) ).
tcf(c_888,plain,
! [X0: $i,X1: $i,X2: $i] : c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Set_Oinsert(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg),
inference(cnf_transformation,[],[f435]) ).
tcf(c_889,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_891,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X0),X1,tc_Event_Oevent)),
inference(cnf_transformation,[],[f116]) ).
tcf(c_893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( c_Event_Oevent_ONotes(X0,X1) != c_Event_Oevent_ONotes(X2,X3) ) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_Event_Oevent_ONotes(X0,X1) != c_Event_Oevent_ONotes(X2,X3) ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_895,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)) )
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f542]) ).
tcf(c_896,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ( c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) ) ),
inference(cnf_transformation,[],[f540]) ).
tcf(c_897,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f532]) ).
tcf(c_899,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_900,plain,
! [X0: $i] : c_Message_OinvKey(hAPP(c_Public_OshrK,X0)) = hAPP(c_Public_OshrK,X0),
inference(cnf_transformation,[],[f458]) ).
tcf(c_902,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1)) != hAPP(c_Public_OshrK,X2),
inference(cnf_transformation,[],[f269]) ).
tcf(c_906,plain,
! [X0: $i] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
inference(cnf_transformation,[],[f237]) ).
tcf(c_907,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oused(X2),tc_Message_Omsg),
inference(cnf_transformation,[],[f229]) ).
tcf(c_908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1)) != hAPP(c_Public_OpublicKey(X2),X3),
inference(cnf_transformation,[],[f147]) ).
tcf(c_909,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_Message_OinvKey(X0) != c_Message_OinvKey(X1) ) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1)),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat),
inference(cnf_transformation,[],[f136]) ).
tcf(c_911,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1)),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat),
inference(cnf_transformation,[],[f77]) ).
tcf(c_912,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg),
inference(cnf_transformation,[],[f543]) ).
tcf(c_913,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg),
inference(cnf_transformation,[],[f534]) ).
tcf(c_915,plain,
! [X0: $i,X1: $i,X2: $i] : hAPP(c_Public_OpublicKey(X0),X1) != hAPP(c_Public_OshrK,X2),
inference(cnf_transformation,[],[f455]) ).
tcf(c_916,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Event_Oused(X2),tc_Message_Omsg),
inference(cnf_transformation,[],[f391]) ).
tcf(c_917,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_in(hAPP(c_Public_OshrK,X0),c_Set_Oimage(c_Public_OpublicKey(X1),X2,tc_Message_Oagent,tc_nat),tc_nat),
inference(cnf_transformation,[],[f228]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( hAPP(c_Public_OpublicKey(X0),X1) != hAPP(c_Public_OpublicKey(X2),X3) ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( hAPP(c_Public_OpublicKey(X0),X1) != hAPP(c_Public_OpublicKey(X2),X3) ) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_in(hAPP(c_Public_OpublicKey(X0),X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat),
inference(cnf_transformation,[],[f153]) ).
tcf(c_921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ c_in(hAPP(c_Public_OpublicKey(X0),X1),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,X3,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OpublicKey(X0),X1),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2) ) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2) ) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_927,plain,
! [X0: $i,X1: $i,X2: $i] : c_List_Olist_OCons(X0,X1,X2) != X1,
inference(cnf_transformation,[],[f221]) ).
tcf(c_930,plain,
! [X0: $i,X1: $i,X2: $i] : c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2),
inference(cnf_transformation,[],[f90]) ).
tcf(c_935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_List_Olist_OCons(X0,c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X2,X3),
inference(cnf_transformation,[],[f42]) ).
tcf(c_937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2) ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2) ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_942,plain,
! [X0: $i,X1: $i] : c_List_Oappend(X0,c_List_Olist_ONil(X1),X1) = X0,
inference(cnf_transformation,[],[f36]) ).
tcf(c_944,plain,
! [X0: $i,X1: $i] : c_List_Oappend(c_List_Olist_ONil(X0),X1,X0) = X1,
inference(cnf_transformation,[],[f33]) ).
tcf(c_947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_List_Olist_ONil(X2) = X0 )
| ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2) ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_List_Olist_ONil(X2) = X1 )
| ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2) ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_950,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_List_Olist_ONil(X2) = X1 )
| ( c_List_Oappend(X0,X1,X2) != X0 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_952,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_List_Olist_ONil(X2) = X0 )
| ( c_List_Oappend(X0,X1,X2) != X1 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_List_Oappend(c_List_Oappend(X0,X1,X2),X3,X2) = c_List_Oappend(X0,c_List_Oappend(X1,X3,X2),X2),
inference(cnf_transformation,[],[f2]) ).
tcf(c_960,plain,
! [X0: $i,X1: $i,X2: $i] : ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[],[f505]) ).
tcf(c_961,plain,
! [X0: $i] : c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),
inference(cnf_transformation,[],[f468]) ).
tcf(c_965,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f732]) ).
tcf(c_966,plain,
! [X0: $i,X1: $i] :
( c_in(X0,X1,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_968,plain,
! [X0: $i] : c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),
inference(cnf_transformation,[],[f338]) ).
tcf(c_972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4) = c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4),
inference(cnf_transformation,[],[f365]) ).
tcf(c_976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Set_Oinsert(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4) = c_Set_Oimage(X3,X1,X2,X4) )
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(c_Set_Oimage(X3,X0,X2,X4),c_Set_Oimage(X3,X1,X2,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_983,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(cnf_transformation,[],[f167]) ).
tcf(c_984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(hAPP(X0,X5),X4,X3)
| ~ c_in(X5,X1,X2)
| ~ c_lessequals(c_Set_Oimage(X0,X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = X1 )
| ( c_Set_Oimage(X0,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X0,X1,X2,X3),c_Set_Oimage(X0,X4,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X2,tc_bool)),X2,X3),
inference(cnf_transformation,[],[f102]) ).
tcf(c_990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_992,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
inference(cnf_transformation,[],[f256]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,X1,X2)
| ~ c_in(X3,X0,X2)
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_997,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[],[f178]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[],[f177]) ).
tcf(c_999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_1000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_1001,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X1,tc_fun(X2,tc_bool))
| ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != X1 ) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_1002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)) = X1 )
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = X1 )
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_1005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ c_lessequals(X1,X0,tc_fun(X2,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_1006,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X1)) )
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f510]) ).
tcf(c_1009,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,X0),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_1010,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f414]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_1015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_1018,plain,
! [X0: $i,X1: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_1019,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_1020,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f242]) ).
tcf(c_1021,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_1022,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_1023,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(cnf_transformation,[],[f216]) ).
tcf(c_1024,plain,
! [X0: $i] : c_Message_Osynth(c_Message_Osynth(X0)) = c_Message_Osynth(X0),
inference(cnf_transformation,[],[f215]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(cnf_transformation,[],[f117]) ).
tcf(c_1029,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f113]) ).
tcf(c_1030,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f70]) ).
tcf(c_1031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f538]) ).
tcf(c_1032,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f533]) ).
tcf(c_1034,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oused(X1),tc_Message_Omsg),
inference(cnf_transformation,[],[f518]) ).
tcf(c_1035,plain,
! [X0: $i] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(cnf_transformation,[],[f423]) ).
tcf(c_1036,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i] : ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(cnf_transformation,[],[f390]) ).
tcf(c_1038,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_1039,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_1040,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f297]) ).
tcf(c_1041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X1,tc_Event_Oevent)),
inference(cnf_transformation,[],[f232]) ).
tcf(c_1042,plain,
! [X0: $i] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f139]) ).
tcf(c_1043,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)),
inference(cnf_transformation,[],[f426]) ).
tcf(c_1044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) ) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_1047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ( X0 = X3 )
| ( c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) != c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_1048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X0 = X3 )
| ( c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) != c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_1049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( X0 = X4 )
| ( c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) != c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ) ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_1050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( X1 = X3 )
| ( c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) != c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_1051,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(cnf_transformation,[],[f366]) ).
tcf(c_1054,plain,
! [X0: $i,X1: $i] : ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
inference(cnf_transformation,[],[f352]) ).
tcf(c_1056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ c_in(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = X0 )
| ( c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) = X0 )
| ~ c_lessequals(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = X0 )
| ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_1062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = X1 )
| ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_1063,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
inference(cnf_transformation,[],[f134]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X0 )
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_1066,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X0,
inference(cnf_transformation,[],[f68]) ).
tcf(c_1067,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)) = X1,
inference(cnf_transformation,[],[f67]) ).
tcf(c_1068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| c_in(X0,X1,X3)
| ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_1069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_1070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_1071,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),
inference(cnf_transformation,[],[f208]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
inference(cnf_transformation,[],[f203]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[],[f170]) ).
tcf(c_1075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(cnf_transformation,[],[f169]) ).
tcf(c_1076,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool)) = X0,
inference(cnf_transformation,[],[f155]) ).
tcf(c_1359,plain,
( ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(global_subsumption_just,[status(thm)],[c_683,c_682,c_683]) ).
tcf(c_1360,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(renaming,[status(thm)],[c_1359]) ).
tcf(c_1371,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(prop_impl_just,[status(thm)],[c_829]) ).
tcf(c_1437,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(prop_impl_just,[status(thm)],[c_1027,c_1025]) ).
tcf(c_1441,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(prop_impl_just,[status(thm)],[c_873,c_870]) ).
tcf(c_1443,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(prop_impl_just,[status(thm)],[c_830,c_828]) ).
tcf(c_1483,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(prop_impl_just,[status(thm)],[c_880]) ).
tcf(c_1557,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,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(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(prop_impl_just,[status(thm)],[c_869]) ).
tcf(c_1561,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(prop_impl_just,[status(thm)],[c_866]) ).
tcf(c_2271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(bin_hyper_res,[status(thm)],[c_834,c_1371]) ).
tcf(c_3954,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_1483,c_875]) ).
tcf(c_3975,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(demodulation,[status(thm)],[c_1028,c_1072]) ).
tcf(c_4010,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_1561,c_1072]) ).
tcf(c_4041,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_1557,c_1072]) ).
tcf(c_4048,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_876,c_1072]) ).
tcf(c_4090,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_865,c_1072]) ).
tcf(c_4302,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(prop_impl_just,[status(thm)],[c_829]) ).
tcf(c_4352,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(prop_impl_just,[status(thm)],[c_1437]) ).
tcf(c_4356,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(prop_impl_just,[status(thm)],[c_1441]) ).
tcf(c_4358,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(prop_impl_just,[status(thm)],[c_1443]) ).
tcf(c_4400,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(prop_impl_just,[status(thm)],[c_3954]) ).
tcf(c_4474,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(prop_impl_just,[status(thm)],[c_4010]) ).
tcf(c_4476,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(prop_impl_just,[status(thm)],[c_4041]) ).
tcf(c_4546,plain,
( ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(prop_impl_just,[status(thm)],[c_1360]) ).
tcf(c_4547,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(renaming,[status(thm)],[c_4546]) ).
tcf(c_5116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(bin_hyper_res,[status(thm)],[c_2271,c_4302]) ).
tcf(c_11388,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_3975,c_3975]) ).
tcf(c_11390,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),
inference(light_normalisation,[status(thm)],[c_11388,c_1024,c_3975]) ).
tcf(c_11396,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_821,c_827]) ).
tcf(c_11397,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_818,c_827]) ).
tcf(c_11398,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(demodulation,[status(thm)],[c_11390,c_821]) ).
tcf(c_11401,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_11398,c_3975]) ).
tcf(c_11408,plain,
! [X0: $i] : c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1024,c_1020]) ).
tcf(c_11412,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_821,c_831]) ).
tcf(c_11413,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Oparts(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_818,c_831]) ).
tcf(c_11414,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_820,c_831]) ).
tcf(c_11415,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Message_Oparts(X0)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_859,c_831]) ).
tcf(c_11424,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X0,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_1076,c_3975]) ).
tcf(c_11425,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_1076,c_11398]) ).
tcf(c_11434,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_819,c_679]) ).
tcf(c_11435,plain,
! [X0: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(demodulation,[status(thm)],[c_11424,c_1072,c_1023]) ).
tcf(c_11436,plain,
! [X0: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_1024,c_11435]) ).
tcf(c_11437,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_11435,c_3975]) ).
tcf(c_11438,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(X0))),
inference(superposition,[status(thm)],[c_11435,c_11398]) ).
tcf(c_11439,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11435,c_831]) ).
tcf(c_11440,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11435,c_827]) ).
tcf(c_11441,plain,
! [X0: $i] : c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X0))) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_11435,c_821]) ).
tcf(c_11442,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X0))),
inference(superposition,[status(thm)],[c_11435,c_820]) ).
tcf(c_11443,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_11435,c_819]) ).
tcf(c_11459,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_4547]) ).
tcf(c_11482,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oanalz(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_821,c_813]) ).
tcf(c_11483,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_818,c_813]) ).
tcf(c_11484,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_11435,c_813]) ).
tcf(c_11494,plain,
c_lessequals(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)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_872,c_831]) ).
tcf(c_11495,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_872,c_874]) ).
tcf(c_11505,plain,
! [X0: $i,X1: $i] :
( ( c_Message_OinvKey(X1) = X0 )
| ( c_Message_OinvKey(X0) != X1 ) ),
inference(superposition,[status(thm)],[c_906,c_909]) ).
tcf(c_11506,plain,
! [X0: $i,X1: $i] :
( ( hAPP(c_Public_OshrK,X0) = X1 )
| ( hAPP(c_Public_OshrK,X0) != c_Message_OinvKey(X1) ) ),
inference(superposition,[status(thm)],[c_900,c_909]) ).
tcf(c_11514,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Osynth(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_3975,c_997]) ).
tcf(c_11521,plain,
! [X0: $i,X1: $i] :
( ( hAPP(c_Public_OshrK,X0) = c_Message_OinvKey(X1) )
| ( hAPP(c_Public_OshrK,X0) != X1 ) ),
inference(superposition,[status(thm)],[c_906,c_11506]) ).
tcf(c_11527,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_3975,c_998]) ).
tcf(c_11528,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11398,c_998]) ).
tcf(c_11530,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1043,c_831]) ).
tcf(c_11532,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1043,c_813]) ).
tcf(c_11536,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2),X2),
inference(superposition,[status(thm)],[c_944,c_733]) ).
tcf(c_11537,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),X2),
inference(light_normalisation,[status(thm)],[c_11536,c_726]) ).
tcf(c_11542,plain,
! [X0: $i,X1: $i] :
( ( c_Message_OinvKey(X0) = c_Message_OinvKey(X1) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_906,c_11505]) ).
tcf(c_11562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,X3),X3),X3),X3) = c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,X3),X3),X3),
inference(superposition,[status(thm)],[c_733,c_836]) ).
tcf(c_11563,plain,
! [X0: $i,X1: $i] :
( ( c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg) = c_Message_Osynth(X1) )
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1013,c_836]) ).
tcf(c_11564,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oused(X2),tc_Message_Omsg) = c_Event_Oused(X2),
inference(superposition,[status(thm)],[c_907,c_836]) ).
tcf(c_11565,plain,
! [X0: $i,X1: $i] :
( ( c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(X1) )
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_836]) ).
tcf(c_11566,plain,
! [X0: $i,X1: $i] :
( ( c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg) = c_Message_Oanalz(X1) )
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_819,c_836]) ).
tcf(c_11567,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg) = c_Message_Osynth(X1),
inference(superposition,[status(thm)],[c_795,c_836]) ).
tcf(c_11568,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Event_Oused(X2),tc_Message_Omsg) = c_Event_Oused(X2),
inference(superposition,[status(thm)],[c_916,c_836]) ).
tcf(c_11569,plain,
c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) = c_NS__Shared__Mirabelle_Ons__shared,
inference(superposition,[status(thm)],[c_707,c_836]) ).
tcf(c_11570,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oused(X1),tc_Message_Omsg) = c_Event_Oused(X1),
inference(superposition,[status(thm)],[c_1034,c_836]) ).
tcf(c_11571,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,X2),
inference(superposition,[status(thm)],[c_913,c_836]) ).
tcf(c_11572,plain,
c_Set_Oinsert(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) = c_Event_Obad,
inference(superposition,[status(thm)],[c_695,c_836]) ).
tcf(c_11573,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg) = c_Event_Oknows(X0,X1),
inference(superposition,[status(thm)],[c_748,c_836]) ).
tcf(c_11575,plain,
c_Set_Oinsert(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) = c_NS__Shared__Mirabelle_Ons__shared,
inference(superposition,[status(thm)],[c_675,c_836]) ).
tcf(c_11576,plain,
c_Set_Oinsert(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) = c_List_Oset(v_evs3,tc_Event_Oevent),
inference(superposition,[status(thm)],[c_677,c_836]) ).
tcf(c_11577,plain,
c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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_evs3,tc_Event_Oevent),tc_Event_Oevent) = c_List_Oset(v_evs3,tc_Event_Oevent),
inference(superposition,[status(thm)],[c_678,c_836]) ).
tcf(c_11578,plain,
c_Set_Oinsert(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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_680,c_836]) ).
tcf(c_11579,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_681,c_836]) ).
tcf(c_11597,plain,
c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),
inference(superposition,[status(thm)],[c_11575,c_850]) ).
tcf(c_11598,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)) != c_List_Oset(v_evs3,tc_Event_Oevent),
inference(superposition,[status(thm)],[c_11577,c_1051]) ).
tcf(c_11600,plain,
c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(v_evs3,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)),
inference(superposition,[status(thm)],[c_11577,c_850]) ).
tcf(c_11601,plain,
c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11579,c_1051]) ).
tcf(c_11603,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11579,c_850]) ).
tcf(c_11611,plain,
c_lessequals(c_Event_Obad,c_Event_Obad,tc_fun(tc_Message_Oagent,tc_bool)),
inference(superposition,[status(thm)],[c_11572,c_850]) ).
tcf(c_11627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,X2),X2) = c_Set_Oinsert(X3,X1,X2) )
| ~ c_in(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_845,c_836]) ).
tcf(c_11630,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),
inference(superposition,[status(thm)],[c_912,c_836]) ).
tcf(c_11631,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_912,c_813]) ).
tcf(c_11635,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) != c_NS__Shared__Mirabelle_Ons__shared,
inference(superposition,[status(thm)],[c_11569,c_1051]) ).
tcf(c_11640,plain,
! [X0: $i] : c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Message_Osynth(X0),
inference(superposition,[status(thm)],[c_11567,c_1051]) ).
tcf(c_11646,plain,
! [X0: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1066,c_3975]) ).
tcf(c_11651,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),X0,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_1067,c_3975]) ).
tcf(c_11656,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),
inference(superposition,[status(thm)],[c_11631,c_836]) ).
tcf(c_11663,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2),X2) = c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2),
inference(superposition,[status(thm)],[c_944,c_11562]) ).
tcf(c_11665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(superposition,[status(thm)],[c_11562,c_1051]) ).
tcf(c_11667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3),tc_fun(X3,tc_bool)),
inference(superposition,[status(thm)],[c_11562,c_850]) ).
tcf(c_11668,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),X2) = c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),
inference(light_normalisation,[status(thm)],[c_11663,c_726]) ).
tcf(c_11690,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_760]) ).
tcf(c_11691,plain,
c_in(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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_680,c_760]) ).
tcf(c_11692,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_681,c_760]) ).
tcf(c_11693,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_872,c_760]) ).
tcf(c_11694,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_820,c_760]) ).
tcf(c_11695,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_859,c_760]) ).
tcf(c_11702,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_11693,c_872]) ).
tcf(c_11710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OCrypt(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_733,c_11690]) ).
tcf(c_11711,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1013,c_11690]) ).
tcf(c_11712,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_11690]) ).
tcf(c_11713,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_819,c_11690]) ).
tcf(c_11714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_845,c_11690]) ).
tcf(c_11715,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_841,c_11690]) ).
tcf(c_11716,plain,
c_in(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_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_680,c_11690]) ).
tcf(c_11717,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_681,c_11690]) ).
tcf(c_11735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11715,c_11690]) ).
tcf(c_11736,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11715,c_836]) ).
tcf(c_11737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11715,c_760]) ).
tcf(c_11741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OCrypt(X3,X0)),X4,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_11737]) ).
tcf(c_11742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OCrypt(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11737,c_11690]) ).
tcf(c_11743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11737,c_836]) ).
tcf(c_11744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OCrypt(X3,X0))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11737,c_760]) ).
tcf(c_11754,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11692,c_836]) ).
tcf(c_11756,plain,
c_Set_Oinsert(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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11691,c_836]) ).
tcf(c_11775,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_819,c_776]) ).
tcf(c_11776,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1043,c_776]) ).
tcf(c_11777,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_821,c_776]) ).
tcf(c_11778,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_818,c_776]) ).
tcf(c_11779,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(c_Message_Osynth(X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_11435,c_776]) ).
tcf(c_11786,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_11776,c_1043]) ).
tcf(c_11794,plain,
! [X0: $i] : c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Event_Oused(X0),
inference(superposition,[status(thm)],[c_11570,c_1051]) ).
tcf(c_11796,plain,
! [X0: $i] : c_lessequals(c_Event_Oused(X0),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11570,c_850]) ).
tcf(c_11802,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_819,c_777]) ).
tcf(c_11803,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1043,c_777]) ).
tcf(c_11804,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_821,c_777]) ).
tcf(c_11805,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_818,c_777]) ).
tcf(c_11806,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(c_Message_Osynth(X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_11435,c_777]) ).
tcf(c_11813,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_11803,c_1043]) ).
tcf(c_11820,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_778]) ).
tcf(c_11821,plain,
c_in(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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11691,c_778]) ).
tcf(c_11822,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11692,c_778]) ).
tcf(c_11823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11715,c_778]) ).
tcf(c_11824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11737,c_778]) ).
tcf(c_11825,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_872,c_778]) ).
tcf(c_11826,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_820,c_778]) ).
tcf(c_11827,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_859,c_778]) ).
tcf(c_11844,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_779]) ).
tcf(c_11845,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11691,c_779]) ).
tcf(c_11847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11715,c_779]) ).
tcf(c_11848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11737,c_779]) ).
tcf(c_11849,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_872,c_779]) ).
tcf(c_11850,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_820,c_779]) ).
tcf(c_11851,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_859,c_779]) ).
tcf(c_11862,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X1,X2),tc_fun(X2,tc_bool)),
inference(superposition,[status(thm)],[c_842,c_850]) ).
tcf(c_11865,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11822,c_836]) ).
tcf(c_11866,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11845,c_836]) ).
tcf(c_11871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_733,c_11775]) ).
tcf(c_11872,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Message_Osynth(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1013,c_11775]) ).
tcf(c_11873,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_11775]) ).
tcf(c_11874,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_819,c_11775]) ).
tcf(c_11875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_845,c_11775]) ).
tcf(c_11876,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_841,c_11775]) ).
tcf(c_11877,plain,
c_in(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_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11691,c_11775]) ).
tcf(c_11878,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11692,c_11775]) ).
tcf(c_11879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11715,c_11775]) ).
tcf(c_11880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11737,c_11775]) ).
tcf(c_11898,plain,
c_Set_Oinsert(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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11821,c_836]) ).
tcf(c_11899,plain,
c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11821,c_11775]) ).
tcf(c_11900,plain,
c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11821,c_779]) ).
tcf(c_11901,plain,
c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11821,c_778]) ).
tcf(c_11903,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11900,c_836]) ).
tcf(c_11904,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11901,c_836]) ).
tcf(c_11905,plain,
c_in(v_X,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11901,c_11775]) ).
tcf(c_11906,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11901,c_779]) ).
tcf(c_11907,plain,
c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11901,c_778]) ).
tcf(c_11918,plain,
! [X0: $i] : c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Event_Oknows(c_Message_Oagent_OSpy,X0),
inference(superposition,[status(thm)],[c_11571,c_1051]) ).
tcf(c_11920,plain,
! [X0: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11571,c_850]) ).
tcf(c_11922,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),
inference(superposition,[status(thm)],[c_872,c_882]) ).
tcf(c_11923,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),
inference(superposition,[status(thm)],[c_820,c_882]) ).
tcf(c_11924,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),
inference(superposition,[status(thm)],[c_859,c_882]) ).
tcf(c_11925,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(X0)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_1024,c_882]) ).
tcf(c_11926,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_882,c_997]) ).
tcf(c_11927,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oparts(X0)),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oparts(X0)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_882,c_3975]) ).
tcf(c_11928,plain,
! [X0: $i] : c_lessequals(c_Message_Osynth(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_882,c_998]) ).
tcf(c_11944,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_872,c_11926]) ).
tcf(c_11945,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_820,c_11926]) ).
tcf(c_11946,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_859,c_11926]) ).
tcf(c_11947,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1024,c_11926]) ).
tcf(c_11954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11876,c_11690]) ).
tcf(c_11955,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11876,c_836]) ).
tcf(c_11956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11876,c_11775]) ).
tcf(c_11957,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11876,c_813]) ).
tcf(c_11958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11876,c_777]) ).
tcf(c_11959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11876,c_776]) ).
tcf(c_11965,plain,
c_Set_Oinsert(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11907,c_836]) ).
tcf(c_11972,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11906,c_836]) ).
tcf(c_11990,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_872,c_11945]) ).
tcf(c_11991,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(X0)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_820,c_11945]) ).
tcf(c_11992,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(X0)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_859,c_11945]) ).
tcf(c_11993,plain,
c_lessequals(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1043,c_11945]) ).
tcf(c_11994,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Message_Oanalz(X0)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_821,c_11945]) ).
tcf(c_11995,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_818,c_11945]) ).
tcf(c_11996,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X0)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11435,c_11945]) ).
tcf(c_12003,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X0))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X0)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_11996,c_11442]) ).
tcf(c_12005,plain,
! [X0: $i,X1: $i] : c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Event_Oknows(X0,X1),
inference(superposition,[status(thm)],[c_11573,c_1051]) ).
tcf(c_12007,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Event_Oknows(X0,X1),c_Event_Oknows(X0,X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11573,c_850]) ).
tcf(c_12021,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_961,c_11945]) ).
tcf(c_12022,plain,
! [X0: $i] : c_lessequals(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_961,c_831]) ).
tcf(c_12023,plain,
! [X0: $i] : c_lessequals(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_961,c_827]) ).
tcf(c_12024,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_961,c_813]) ).
tcf(c_12026,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_961,c_777]) ).
tcf(c_12027,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_961,c_776]) ).
tcf(c_12029,plain,
! [X0: $i] : c_lessequals(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_12021,c_968]) ).
tcf(c_12039,plain,
! [X0: $i] : c_lessequals(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_968,c_11945]) ).
tcf(c_12041,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_968,c_882]) ).
tcf(c_12042,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)),c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_968,c_831]) ).
tcf(c_12046,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_968,c_779]) ).
tcf(c_12047,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_968,c_778]) ).
tcf(c_12066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_11957]) ).
tcf(c_12067,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11754,c_11957]) ).
tcf(c_12068,plain,
c_in(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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11756,c_11957]) ).
tcf(c_12069,plain,
c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_11957]) ).
tcf(c_12070,plain,
c_in(v_X,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_11957]) ).
tcf(c_12071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11957,c_11690]) ).
tcf(c_12072,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11957,c_836]) ).
tcf(c_12073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11957,c_11775]) ).
tcf(c_12074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11957,c_779]) ).
tcf(c_12075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11957,c_778]) ).
tcf(c_12076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11957,c_760]) ).
tcf(c_12091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X0,X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_733,c_11802]) ).
tcf(c_12092,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1013,c_11802]) ).
tcf(c_12093,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_11802]) ).
tcf(c_12094,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_819,c_11802]) ).
tcf(c_12095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_845,c_11802]) ).
tcf(c_12096,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_841,c_11802]) ).
tcf(c_12097,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11691,c_11802]) ).
tcf(c_12099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11715,c_11802]) ).
tcf(c_12100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11737,c_11802]) ).
tcf(c_12101,plain,
c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11821,c_11802]) ).
tcf(c_12102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11876,c_11802]) ).
tcf(c_12103,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11901,c_11802]) ).
tcf(c_12104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11957,c_11802]) ).
tcf(c_12122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X0),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12096,c_11690]) ).
tcf(c_12123,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12096,c_836]) ).
tcf(c_12124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12096,c_11802]) ).
tcf(c_12125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12096,c_11775]) ).
tcf(c_12126,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12096,c_813]) ).
tcf(c_12127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12096,c_777]) ).
tcf(c_12128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12096,c_776]) ).
tcf(c_12133,plain,
! [X0: $i] : c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11630,c_1051]) ).
tcf(c_12135,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11630,c_850]) ).
tcf(c_12137,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),
inference(superposition,[status(thm)],[c_1043,c_1023]) ).
tcf(c_12138,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_961,c_1023]) ).
tcf(c_12139,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),
inference(superposition,[status(thm)],[c_821,c_1023]) ).
tcf(c_12140,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0))),
inference(superposition,[status(thm)],[c_818,c_1023]) ).
tcf(c_12141,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)))),
inference(superposition,[status(thm)],[c_11435,c_1023]) ).
tcf(c_12142,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_1024,c_1023]) ).
tcf(c_12143,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1023,c_997]) ).
tcf(c_12144,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_1023,c_3975]) ).
tcf(c_12145,plain,
! [X0: $i] : c_lessequals(c_Message_Osynth(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1023,c_998]) ).
tcf(c_12157,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_1032]) ).
tcf(c_12170,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1043,c_12143]) ).
tcf(c_12171,plain,
! [X0: $i] : c_lessequals(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_961,c_12143]) ).
tcf(c_12172,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_821,c_12143]) ).
tcf(c_12173,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_818,c_12143]) ).
tcf(c_12174,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11435,c_12143]) ).
tcf(c_12175,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1024,c_12143]) ).
tcf(c_12181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X0,X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_12126]) ).
tcf(c_12183,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11756,c_12126]) ).
tcf(c_12184,plain,
c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_12126]) ).
tcf(c_12185,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_12126]) ).
tcf(c_12186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X0),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12126,c_11690]) ).
tcf(c_12187,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12126,c_836]) ).
tcf(c_12188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12126,c_11802]) ).
tcf(c_12189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12126,c_11775]) ).
tcf(c_12190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12126,c_779]) ).
tcf(c_12191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12126,c_778]) ).
tcf(c_12192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X0),X2),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12126,c_760]) ).
tcf(c_12223,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1013,c_11820]) ).
tcf(c_12224,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_11820]) ).
tcf(c_12225,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_819,c_11820]) ).
tcf(c_12226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_845,c_11820]) ).
tcf(c_12230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11715,c_11820]) ).
tcf(c_12231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11737,c_11820]) ).
tcf(c_12233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11876,c_11820]) ).
tcf(c_12235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11957,c_11820]) ).
tcf(c_12236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12096,c_11820]) ).
tcf(c_12237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12126,c_11820]) ).
tcf(c_12257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,X0)),X4,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_11823]) ).
tcf(c_12260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11823,c_11690]) ).
tcf(c_12261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11823,c_836]) ).
tcf(c_12262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11823,c_11820]) ).
tcf(c_12263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11823,c_11802]) ).
tcf(c_12264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11823,c_11775]) ).
tcf(c_12265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11823,c_779]) ).
tcf(c_12266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11823,c_778]) ).
tcf(c_12267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(X3,X0))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11823,c_760]) ).
tcf(c_12280,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1013,c_11844]) ).
tcf(c_12281,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_11844]) ).
tcf(c_12282,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_819,c_11844]) ).
tcf(c_12283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_845,c_11844]) ).
tcf(c_12287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11715,c_11844]) ).
tcf(c_12288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11737,c_11844]) ).
tcf(c_12290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11823,c_11844]) ).
tcf(c_12291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11876,c_11844]) ).
tcf(c_12293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11957,c_11844]) ).
tcf(c_12294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12096,c_11844]) ).
tcf(c_12295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12126,c_11844]) ).
tcf(c_12305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X0,X3)),X4,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_11847]) ).
tcf(c_12308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X2,X0),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11847,c_11690]) ).
tcf(c_12309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11847,c_836]) ).
tcf(c_12310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11847,c_11844]) ).
tcf(c_12311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11847,c_11820]) ).
tcf(c_12312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11847,c_11802]) ).
tcf(c_12313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11847,c_11775]) ).
tcf(c_12314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3)),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11847,c_779]) ).
tcf(c_12315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3)),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11847,c_778]) ).
tcf(c_12316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X2,X0),X3)),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11847,c_760]) ).
tcf(c_12323,plain,
! [X0: $i] : c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11656,c_1051]) ).
tcf(c_12325,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11656,c_850]) ).
tcf(c_12327,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_842,c_786]) ).
tcf(c_12328,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11562,c_786]) ).
tcf(c_12329,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(X1)),
inference(superposition,[status(thm)],[c_11567,c_786]) ).
tcf(c_12330,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11903,c_786]) ).
tcf(c_12331,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_12172]) ).
tcf(c_12332,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_12143]) ).
tcf(c_12333,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_786,c_1023]) ).
tcf(c_12334,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_11945]) ).
tcf(c_12335,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_831]) ).
tcf(c_12336,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_827]) ).
tcf(c_12337,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_786,c_821]) ).
tcf(c_12338,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_786,c_820]) ).
tcf(c_12339,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_786,c_813]) ).
tcf(c_12340,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_786,c_819]) ).
tcf(c_12341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Message_Oanalz(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_786,c_777]) ).
tcf(c_12342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Message_Oanalz(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_786,c_776]) ).
tcf(c_12343,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_12338,c_789]) ).
tcf(c_12344,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_12335,c_789]) ).
tcf(c_12347,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_12334,c_789]) ).
tcf(c_12348,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_12327,c_786]) ).
tcf(c_12368,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_842,c_789]) ).
tcf(c_12369,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11562,c_789]) ).
tcf(c_12370,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(X1)),
inference(superposition,[status(thm)],[c_11567,c_789]) ).
tcf(c_12371,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11903,c_789]) ).
tcf(c_12372,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_12173]) ).
tcf(c_12373,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_11946]) ).
tcf(c_12374,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_11945]) ).
tcf(c_12375,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_11926]) ).
tcf(c_12376,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_789,c_882]) ).
tcf(c_12377,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_831]) ).
tcf(c_12378,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_874]) ).
tcf(c_12379,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_789,c_859]) ).
tcf(c_12380,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_789,c_818]) ).
tcf(c_12381,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_789,c_861]) ).
tcf(c_12382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_789,c_779]) ).
tcf(c_12383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_789,c_778]) ).
tcf(c_12384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_789,c_760]) ).
tcf(c_12389,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_12368,c_789]) ).
tcf(c_12408,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_842,c_799]) ).
tcf(c_12409,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11562,c_799]) ).
tcf(c_12410,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11865,c_799]) ).
tcf(c_12411,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11866,c_799]) ).
tcf(c_12412,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_12172]) ).
tcf(c_12413,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_12143]) ).
tcf(c_12414,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_799,c_1023]) ).
tcf(c_12415,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_11945]) ).
tcf(c_12416,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_831]) ).
tcf(c_12417,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_827]) ).
tcf(c_12418,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_799,c_821]) ).
tcf(c_12419,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_799,c_820]) ).
tcf(c_12420,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_799,c_813]) ).
tcf(c_12421,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_799,c_819]) ).
tcf(c_12422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_799,c_777]) ).
tcf(c_12423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_799,c_776]) ).
tcf(c_12424,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_12419,c_802]) ).
tcf(c_12425,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_12416,c_802]) ).
tcf(c_12428,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_12415,c_802]) ).
tcf(c_12429,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_12408,c_799]) ).
tcf(c_12453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3)),X4,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_11958]) ).
tcf(c_12456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X2,X0),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11958,c_11690]) ).
tcf(c_12457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11958,c_836]) ).
tcf(c_12458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11958,c_11844]) ).
tcf(c_12459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11958,c_11820]) ).
tcf(c_12460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11958,c_11802]) ).
tcf(c_12461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11958,c_11775]) ).
tcf(c_12463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3)),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11958,c_777]) ).
tcf(c_12464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3)),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11958,c_776]) ).
tcf(c_12484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0)),X4,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_11959]) ).
tcf(c_12487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11959,c_11690]) ).
tcf(c_12488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11959,c_836]) ).
tcf(c_12489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11959,c_11844]) ).
tcf(c_12490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11959,c_11820]) ).
tcf(c_12491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11959,c_11802]) ).
tcf(c_12492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11959,c_11775]) ).
tcf(c_12494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11959,c_777]) ).
tcf(c_12495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11959,c_776]) ).
tcf(c_12526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3)),X4,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_12074]) ).
tcf(c_12529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X2,X0),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12074,c_11690]) ).
tcf(c_12530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12074,c_836]) ).
tcf(c_12531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12074,c_11844]) ).
tcf(c_12532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12074,c_11820]) ).
tcf(c_12533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12074,c_11802]) ).
tcf(c_12534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3)),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12074,c_11775]) ).
tcf(c_12535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3)),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12074,c_779]) ).
tcf(c_12536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3)),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12074,c_778]) ).
tcf(c_12537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X2,X0),X3)),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12074,c_760]) ).
tcf(c_12546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0)),X4,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_12075]) ).
tcf(c_12549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12075,c_11690]) ).
tcf(c_12550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12075,c_836]) ).
tcf(c_12551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12075,c_11844]) ).
tcf(c_12552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12075,c_11820]) ).
tcf(c_12553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12075,c_11802]) ).
tcf(c_12554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12075,c_11775]) ).
tcf(c_12555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12075,c_779]) ).
tcf(c_12556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12075,c_778]) ).
tcf(c_12557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(X3,X0))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12075,c_760]) ).
tcf(c_12589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(X3,X0)),X4,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_12076]) ).
tcf(c_12590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OCrypt(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12076,c_11690]) ).
tcf(c_12591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12076,c_836]) ).
tcf(c_12592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12076,c_11844]) ).
tcf(c_12593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12076,c_11820]) ).
tcf(c_12594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12076,c_11802]) ).
tcf(c_12595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12076,c_11775]) ).
tcf(c_12596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X0,X3))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12076,c_779]) ).
tcf(c_12597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,X0))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12076,c_778]) ).
tcf(c_12598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OCrypt(X3,X0))),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12076,c_760]) ).
tcf(c_12607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3),X4,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_12127]) ).
tcf(c_12608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X0),X2),X3),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12127,c_11690]) ).
tcf(c_12609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12127,c_836]) ).
tcf(c_12610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12127,c_11844]) ).
tcf(c_12611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12127,c_11820]) ).
tcf(c_12612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12127,c_11802]) ).
tcf(c_12613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12127,c_11775]) ).
tcf(c_12615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12127,c_777]) ).
tcf(c_12616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12127,c_776]) ).
tcf(c_12628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3),X4,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_12128]) ).
tcf(c_12629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12128,c_11690]) ).
tcf(c_12630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12128,c_836]) ).
tcf(c_12631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12128,c_11844]) ).
tcf(c_12632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12128,c_11820]) ).
tcf(c_12633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12128,c_11802]) ).
tcf(c_12634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3),X4,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12128,c_11775]) ).
tcf(c_12636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12128,c_777]) ).
tcf(c_12637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3),X4,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12128,c_776]) ).
tcf(c_12669,plain,
! [X0: $i,X1: $i,X2: $i] : c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(superposition,[status(thm)],[c_944,c_11665]) ).
tcf(c_12670,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(light_normalisation,[status(thm)],[c_12669,c_726]) ).
tcf(c_12671,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_842,c_802]) ).
tcf(c_12672,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11562,c_802]) ).
tcf(c_12673,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11865,c_802]) ).
tcf(c_12674,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11866,c_802]) ).
tcf(c_12675,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_12173]) ).
tcf(c_12676,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_11946]) ).
tcf(c_12677,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_11945]) ).
tcf(c_12678,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_11926]) ).
tcf(c_12679,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_802,c_882]) ).
tcf(c_12680,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_831]) ).
tcf(c_12681,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_874]) ).
tcf(c_12682,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_802,c_859]) ).
tcf(c_12683,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_802,c_818]) ).
tcf(c_12684,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_802,c_861]) ).
tcf(c_12685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_802,c_779]) ).
tcf(c_12686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_802,c_778]) ).
tcf(c_12687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_802,c_760]) ).
tcf(c_12692,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_12671,c_802]) ).
tcf(c_12714,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(X1),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_799,c_814]) ).
tcf(c_12715,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Message_Oanalz(X1),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_786,c_814]) ).
tcf(c_12735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_814,c_11690]) ).
tcf(c_12736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_814,c_836]) ).
tcf(c_12737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_814,c_11844]) ).
tcf(c_12738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_814,c_11820]) ).
tcf(c_12739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_814,c_11802]) ).
tcf(c_12740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_814,c_11775]) ).
tcf(c_12741,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_814,c_813]) ).
tcf(c_12742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_814,c_777]) ).
tcf(c_12743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_814,c_776]) ).
tcf(c_12809,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11630,c_824]) ).
tcf(c_12810,plain,
! [X0: $i] : c_lessequals(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1043,c_824]) ).
tcf(c_12811,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_961,c_824]) ).
tcf(c_12812,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_821,c_824]) ).
tcf(c_12813,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_818,c_824]) ).
tcf(c_12814,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_824]) ).
tcf(c_12815,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_824]) ).
tcf(c_12816,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11435,c_824]) ).
tcf(c_12817,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_824]) ).
tcf(c_12818,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_824]) ).
tcf(c_12819,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_842,c_824]) ).
tcf(c_12820,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11562,c_824]) ).
tcf(c_12821,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11567,c_824]) ).
tcf(c_12822,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oused(X1)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oused(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11570,c_824]) ).
tcf(c_12823,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11571,c_824]) ).
tcf(c_12824,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oknows(X0,X1)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oknows(X0,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11573,c_824]) ).
tcf(c_12825,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11578,c_824]) ).
tcf(c_12826,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11579,c_824]) ).
tcf(c_12827,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11630,c_824]) ).
tcf(c_12828,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11656,c_824]) ).
tcf(c_12829,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11754,c_824]) ).
tcf(c_12830,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11756,c_824]) ).
tcf(c_12831,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11865,c_824]) ).
tcf(c_12832,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11866,c_824]) ).
tcf(c_12833,plain,
c_lessequals(c_Set_Oinsert(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_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11898,c_824]) ).
tcf(c_12834,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11903,c_824]) ).
tcf(c_12835,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11904,c_824]) ).
tcf(c_12836,plain,
c_lessequals(c_Set_Oinsert(v_X,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11965,c_824]) ).
tcf(c_12837,plain,
c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11972,c_824]) ).
tcf(c_12873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X0,X2,X3),tc_fun(X3,tc_bool)),X3),
inference(superposition,[status(thm)],[c_998,c_853]) ).
tcf(c_12874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)),X2),
inference(superposition,[status(thm)],[c_997,c_853]) ).
tcf(c_12875,plain,
! [X0: $i,X1: $i] : c_in(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1020,c_853]) ).
tcf(c_12877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),X3),
inference(superposition,[status(thm)],[c_850,c_853]) ).
tcf(c_12878,plain,
! [X0: $i,X1: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_874,c_853]) ).
tcf(c_12879,plain,
! [X0: $i,X1: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_827,c_853]) ).
tcf(c_12882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X1,X4,X3)
| ~ c_lessequals(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3),X4,tc_fun(X3,tc_bool)) ),
inference(superposition,[status(thm)],[c_11562,c_853]) ).
tcf(c_12883,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11567,c_853]) ).
tcf(c_12884,plain,
! [X0: $i] :
( c_in(c_List_Olist_ONil(tc_Event_Oevent),X0,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_11569,c_853]) ).
tcf(c_12885,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),X1,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oused(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11570,c_853]) ).
tcf(c_12886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),X1,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11571,c_853]) ).
tcf(c_12887,plain,
! [X0: $i] :
( c_in(c_Message_Oagent_OSpy,X0,tc_Message_Oagent)
| ~ c_lessequals(c_Event_Obad,X0,tc_fun(tc_Message_Oagent,tc_bool)) ),
inference(superposition,[status(thm)],[c_11572,c_853]) ).
tcf(c_12888,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),X2,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oknows(X0,X1),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11573,c_853]) ).
tcf(c_12889,plain,
! [X0: $i] :
( c_in(v_evs3,X0,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_11575,c_853]) ).
tcf(c_12890,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),X0,tc_Event_Oevent)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),X0,tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_11576,c_853]) ).
tcf(c_12891,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(v_Aa,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)))),X0,tc_Event_Oevent)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),X0,tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_11577,c_853]) ).
tcf(c_12892,plain,
! [X0: $i] :
( c_in(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)))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11578,c_853]) ).
tcf(c_12893,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11579,c_853]) ).
tcf(c_12894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),X1,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11630,c_853]) ).
tcf(c_12895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),X1,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11656,c_853]) ).
tcf(c_12896,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11754,c_853]) ).
tcf(c_12897,plain,
! [X0: $i] :
( c_in(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))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11756,c_853]) ).
tcf(c_12898,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NB),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11865,c_853]) ).
tcf(c_12899,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NA),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11866,c_853]) ).
tcf(c_12900,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11898,c_853]) ).
tcf(c_12901,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OAgent(v_B),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11903,c_853]) ).
tcf(c_12902,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11904,c_853]) ).
tcf(c_12903,plain,
! [X0: $i] :
( c_in(v_X,X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11965,c_853]) ).
tcf(c_12904,plain,
! [X0: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,v_K),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11972,c_853]) ).
tcf(c_12907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3),X3),
inference(light_normalisation,[status(thm)],[c_12874,c_848]) ).
tcf(c_12998,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_12875]) ).
tcf(c_12999,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11567,c_12875]) ).
tcf(c_13000,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Osynth(c_Event_Oused(X1)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_12875]) ).
tcf(c_13001,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11571,c_12875]) ).
tcf(c_13002,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Osynth(c_Event_Oknows(X0,X1)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11573,c_12875]) ).
tcf(c_13003,plain,
c_in(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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11578,c_12875]) ).
tcf(c_13004,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11579,c_12875]) ).
tcf(c_13005,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_12875]) ).
tcf(c_13006,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_12875]) ).
tcf(c_13007,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11754,c_12875]) ).
tcf(c_13008,plain,
c_in(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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11756,c_12875]) ).
tcf(c_13009,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11865,c_12875]) ).
tcf(c_13010,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11866,c_12875]) ).
tcf(c_13011,plain,
c_in(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_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_12875]) ).
tcf(c_13012,plain,
c_in(c_Message_Omsg_OAgent(v_B),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11903,c_12875]) ).
tcf(c_13013,plain,
c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_12875]) ).
tcf(c_13014,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11965,c_12875]) ).
tcf(c_13015,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11972,c_12875]) ).
tcf(c_13016,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12875,c_11690]) ).
tcf(c_13017,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12875,c_836]) ).
tcf(c_13018,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12875,c_11844]) ).
tcf(c_13019,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12875,c_11820]) ).
tcf(c_13020,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12875,c_11802]) ).
tcf(c_13021,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12875,c_11775]) ).
tcf(c_13022,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12875,c_808]) ).
tcf(c_13072,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_802,c_12878]) ).
tcf(c_13073,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_789,c_12878]) ).
tcf(c_13075,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_12878]) ).
tcf(c_13076,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11567,c_12878]) ).
tcf(c_13077,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oused(X1)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_12878]) ).
tcf(c_13079,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(X0,X1)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11573,c_12878]) ).
tcf(c_13080,plain,
c_in(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_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11578,c_12878]) ).
tcf(c_13081,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11579,c_12878]) ).
tcf(c_13082,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_12878]) ).
tcf(c_13083,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_12878]) ).
tcf(c_13093,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12878,c_11690]) ).
tcf(c_13094,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12878,c_836]) ).
tcf(c_13095,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12878,c_11844]) ).
tcf(c_13096,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12878,c_11820]) ).
tcf(c_13097,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12878,c_11802]) ).
tcf(c_13098,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12878,c_11775]) ).
tcf(c_13124,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_799,c_12879]) ).
tcf(c_13125,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_786,c_12879]) ).
tcf(c_13127,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_12879]) ).
tcf(c_13128,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11567,c_12879]) ).
tcf(c_13129,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oused(X1)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_12879]) ).
tcf(c_13131,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oknows(X0,X1)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11573,c_12879]) ).
tcf(c_13132,plain,
c_in(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_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11578,c_12879]) ).
tcf(c_13133,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11579,c_12879]) ).
tcf(c_13134,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_12879]) ).
tcf(c_13135,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_12879]) ).
tcf(c_13136,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11754,c_12879]) ).
tcf(c_13137,plain,
c_in(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_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11756,c_12879]) ).
tcf(c_13145,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12879,c_11690]) ).
tcf(c_13146,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12879,c_836]) ).
tcf(c_13147,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12879,c_11844]) ).
tcf(c_13148,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12879,c_11820]) ).
tcf(c_13149,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12879,c_11802]) ).
tcf(c_13150,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12879,c_11775]) ).
tcf(c_13182,plain,
! [X0: $i] : c_in(v_evs3,c_Lattices_Oupper__semilattice__class_Osup(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_998,c_12889]) ).
tcf(c_13183,plain,
! [X0: $i] : c_in(v_evs3,c_Lattices_Oupper__semilattice__class_Osup(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_997,c_12889]) ).
tcf(c_13185,plain,
! [X0: $i] : c_in(v_evs3,c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_850,c_12889]) ).
tcf(c_13195,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13004,c_11690]) ).
tcf(c_13196,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13004,c_836]) ).
tcf(c_13203,plain,
! [X0: $i] :
( ( c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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)))),X0,tc_Event_Oevent) = X0 )
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),X0,tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12891,c_836]) ).
tcf(c_13204,plain,
~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_fun(tc_Event_Oevent,tc_bool)),
inference(superposition,[status(thm)],[c_12891,c_1054]) ).
tcf(c_13222,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_998,c_12893]) ).
tcf(c_13223,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_997,c_12893]) ).
tcf(c_13226,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_850,c_12893]) ).
tcf(c_13229,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11926,c_12893]) ).
tcf(c_13230,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11945,c_12893]) ).
tcf(c_13231,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11946,c_12893]) ).
tcf(c_13232,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12173,c_12893]) ).
tcf(c_13236,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13003,c_11690]) ).
tcf(c_13237,plain,
c_Set_Oinsert(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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13003,c_836]) ).
tcf(c_13253,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_802,c_862]) ).
tcf(c_13254,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_789,c_862]) ).
tcf(c_13274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_11690]) ).
tcf(c_13275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_836]) ).
tcf(c_13276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_11844]) ).
tcf(c_13277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_11820]) ).
tcf(c_13278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_11802]) ).
tcf(c_13279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_11775]) ).
tcf(c_13280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_779]) ).
tcf(c_13281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_778]) ).
tcf(c_13282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_760]) ).
tcf(c_13320,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11578,c_864]) ).
tcf(c_13321,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11579,c_864]) ).
tcf(c_13322,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11656,c_864]) ).
tcf(c_13323,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11754,c_864]) ).
tcf(c_13324,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11756,c_864]) ).
tcf(c_13325,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11865,c_864]) ).
tcf(c_13326,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11866,c_864]) ).
tcf(c_13327,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11898,c_864]) ).
tcf(c_13328,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11903,c_864]) ).
tcf(c_13329,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11904,c_864]) ).
tcf(c_13330,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_X,c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11965,c_864]) ).
tcf(c_13331,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11972,c_864]) ).
tcf(c_13332,plain,
! [X0: $i] : c_lessequals(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_872,c_864]) ).
tcf(c_13333,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_968,c_864]) ).
tcf(c_13334,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_820,c_864]) ).
tcf(c_13335,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_864]) ).
tcf(c_13336,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_859,c_864]) ).
tcf(c_13337,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_864]) ).
tcf(c_13338,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_864]) ).
tcf(c_13339,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_864]) ).
tcf(c_13340,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_842,c_864]) ).
tcf(c_13341,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11562,c_864]) ).
tcf(c_13342,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11567,c_864]) ).
tcf(c_13343,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oused(X1)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oused(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11570,c_864]) ).
tcf(c_13344,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11571,c_864]) ).
tcf(c_13345,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(X0,X1)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(X0,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11573,c_864]) ).
tcf(c_13346,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11578,c_864]) ).
tcf(c_13347,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11579,c_864]) ).
tcf(c_13348,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11630,c_864]) ).
tcf(c_13349,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11656,c_864]) ).
tcf(c_13350,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11754,c_864]) ).
tcf(c_13351,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11756,c_864]) ).
tcf(c_13352,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11865,c_864]) ).
tcf(c_13353,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11866,c_864]) ).
tcf(c_13354,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11898,c_864]) ).
tcf(c_13355,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11903,c_864]) ).
tcf(c_13356,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11904,c_864]) ).
tcf(c_13357,plain,
c_lessequals(c_Set_Oinsert(v_X,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11965,c_864]) ).
tcf(c_13358,plain,
c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11972,c_864]) ).
tcf(c_13361,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_13340,c_13094]) ).
tcf(c_13363,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_13353,c_12674]) ).
tcf(c_13420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Event_Oused(c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X0),X3,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_733,c_889]) ).
tcf(c_13421,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_730,c_889]) ).
tcf(c_13422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Event_Oused(c_List_Olist_OCons(X2,X3,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X0,X1),c_Set_Oinsert(X2,c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_726,c_889]) ).
tcf(c_13432,plain,
! [X0: $i] : c_Set_Oinsert(v_evs3,c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)) = c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_13185,c_836]) ).
tcf(c_13436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Set_Oinsert(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X0,X3,X4),X4),X4),X4),X4),
inference(superposition,[status(thm)],[c_11562,c_12877]) ).
tcf(c_13437,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11567,c_12877]) ).
tcf(c_13438,plain,
! [X0: $i] : c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_11569,c_12877]) ).
tcf(c_13439,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Set_Oinsert(X1,c_Event_Oused(X2),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_12877]) ).
tcf(c_13440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11571,c_12877]) ).
tcf(c_13441,plain,
! [X0: $i] : c_in(c_Message_Oagent_OSpy,c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),tc_Message_Oagent),
inference(superposition,[status(thm)],[c_11572,c_12877]) ).
tcf(c_13442,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Set_Oinsert(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11573,c_12877]) ).
tcf(c_13444,plain,
! [X0: $i] : c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
inference(superposition,[status(thm)],[c_11576,c_12877]) ).
tcf(c_13445,plain,
! [X0: $i] : c_in(c_Event_Oevent_OSays(v_Aa,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_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
inference(superposition,[status(thm)],[c_11577,c_12877]) ).
tcf(c_13446,plain,
! [X0: $i] : c_in(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_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11578,c_12877]) ).
tcf(c_13448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Set_Oinsert(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_12877]) ).
tcf(c_13449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Set_Oinsert(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_12877]) ).
tcf(c_13450,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11754,c_12877]) ).
tcf(c_13451,plain,
! [X0: $i] : c_in(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_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11756,c_12877]) ).
tcf(c_13452,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_NB),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11865,c_12877]) ).
tcf(c_13453,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_NA),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11866,c_12877]) ).
tcf(c_13454,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_12877]) ).
tcf(c_13455,plain,
! [X0: $i] : c_in(c_Message_Omsg_OAgent(v_B),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11903,c_12877]) ).
tcf(c_13456,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_12877]) ).
tcf(c_13457,plain,
! [X0: $i] : c_in(v_X,c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11965,c_12877]) ).
tcf(c_13458,plain,
! [X0: $i] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11972,c_12877]) ).
tcf(c_13459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12877,c_11690]) ).
tcf(c_13460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),X3) = c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),
inference(superposition,[status(thm)],[c_12877,c_836]) ).
tcf(c_13461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X2),X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12877,c_11844]) ).
tcf(c_13462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12877,c_11820]) ).
tcf(c_13463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X2),X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12877,c_11802]) ).
tcf(c_13464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12877,c_11775]) ).
tcf(c_13515,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Oagent_OSpy,c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),tc_Message_Oagent) = c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),
inference(superposition,[status(thm)],[c_13441,c_836]) ).
tcf(c_13519,plain,
! [X0: $i] : c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) = c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(superposition,[status(thm)],[c_13445,c_836]) ).
tcf(c_13566,plain,
! [X0: $i] : c_Set_Oinsert(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) = c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(superposition,[status(thm)],[c_13444,c_836]) ).
tcf(c_13568,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(demodulation,[status(thm)],[c_13321,c_838]) ).
tcf(c_13569,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13568,c_12893]) ).
tcf(c_13581,plain,
! [X0: $i] : c_in(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_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13446,c_11690]) ).
tcf(c_13582,plain,
! [X0: $i] : c_Set_Oinsert(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_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13446,c_836]) ).
tcf(c_13591,plain,
! [X0: $i] :
( ( c_Set_Oinsert(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),X0,tc_Event_Oevent) = X0 )
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),X0,tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12890,c_836]) ).
tcf(c_13596,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_List_Oset(c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_List_Oset(c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_944,c_12328]) ).
tcf(c_13597,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12328,c_864]) ).
tcf(c_13598,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_12879]) ).
tcf(c_13599,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_12878]) ).
tcf(c_13600,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_12875]) ).
tcf(c_13601,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12328,c_824]) ).
tcf(c_13603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_Message_Omsg_OAgent(X1),X3,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12328,c_853]) ).
tcf(c_13604,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12328,c_1051]) ).
tcf(c_13605,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_841]) ).
tcf(c_13608,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12328,c_850]) ).
tcf(c_13609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_12877]) ).
tcf(c_13610,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12328,c_824]) ).
tcf(c_13611,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_12328,c_789]) ).
tcf(c_13612,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_12328,c_786]) ).
tcf(c_13640,plain,
! [X0: $i,X1: $i] : ~ c_in(hAPP(c_Public_OpublicKey(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),
inference(superposition,[status(thm)],[c_983,c_920]) ).
tcf(c_13641,plain,
! [X0: $i,X1: $i] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),
inference(superposition,[status(thm)],[c_983,c_910]) ).
tcf(c_13642,plain,
! [X0: $i] : ~ c_in(hAPP(c_Public_OshrK,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),
inference(superposition,[status(thm)],[c_983,c_917]) ).
tcf(c_13643,plain,
! [X0: $i,X1: $i] : ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_983,c_960]) ).
tcf(c_13646,plain,
! [X0: $i] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_983,c_805]) ).
tcf(c_13652,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12875,c_1018]) ).
tcf(c_13656,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13437,c_836]) ).
tcf(c_13658,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Osynth(c_Event_Oused(X1)),tc_Message_Omsg) = c_Message_Osynth(c_Event_Oused(X1)),
inference(superposition,[status(thm)],[c_13000,c_836]) ).
tcf(c_13661,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oused(X1)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oused(X1)),
inference(superposition,[status(thm)],[c_13077,c_836]) ).
tcf(c_13663,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oused(X1)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oused(X1)),
inference(superposition,[status(thm)],[c_13129,c_836]) ).
tcf(c_13670,plain,
! [X0: $i] :
( c_in(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_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_11690]) ).
tcf(c_13671,plain,
! [X0: $i] :
( ( c_Set_Oinsert(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)))),X0,tc_Message_Omsg) = X0 )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_836]) ).
tcf(c_13672,plain,
! [X0: $i] :
( c_in(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_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_813]) ).
tcf(c_13673,plain,
~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12892,c_1054]) ).
tcf(c_13674,plain,
~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12892,c_1037]) ).
tcf(c_13675,plain,
! [X0: $i] : ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12892,c_960]) ).
tcf(c_13676,plain,
! [X0: $i] :
( c_in(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_Event_Oused(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_1032]) ).
tcf(c_13677,plain,
! [X0: $i] :
( c_in(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_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_760]) ).
tcf(c_13678,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_4547]) ).
tcf(c_13697,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(demodulation,[status(thm)],[c_13320,c_838]) ).
tcf(c_13698,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13697,c_12893]) ).
tcf(c_13703,plain,
! [X0: $i] : c_Set_Oinsert(v_evs3,c_Lattices_Oupper__semilattice__class_Osup(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),
inference(superposition,[status(thm)],[c_13182,c_836]) ).
tcf(c_13707,plain,
! [X0: $i] : c_Set_Oinsert(v_evs3,c_Lattices_Oupper__semilattice__class_Osup(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),
inference(superposition,[status(thm)],[c_13183,c_836]) ).
tcf(c_13709,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13007,c_836]) ).
tcf(c_13710,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13007,c_11844]) ).
tcf(c_13712,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13007,c_11802]) ).
tcf(c_13757,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X1))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X1))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12329,c_864]) ).
tcf(c_13758,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12329,c_12879]) ).
tcf(c_13759,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12329,c_12878]) ).
tcf(c_13760,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12329,c_12875]) ).
tcf(c_13761,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X1))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X1))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12329,c_824]) ).
tcf(c_13763,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12329,c_853]) ).
tcf(c_13764,plain,
! [X0: $i] : c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Message_Oanalz(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_12329,c_1051]) ).
tcf(c_13769,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Oanalz(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12329,c_12877]) ).
tcf(c_13770,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X0),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12329,c_824]) ).
tcf(c_13771,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X1))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X1))),
inference(superposition,[status(thm)],[c_12329,c_789]) ).
tcf(c_13772,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X1))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X1))),
inference(superposition,[status(thm)],[c_12329,c_786]) ).
tcf(c_13785,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11567,c_1029]) ).
tcf(c_13786,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1024,c_1029]) ).
tcf(c_13787,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_842,c_1029]) ).
tcf(c_13788,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11562,c_1029]) ).
tcf(c_13789,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11567,c_1029]) ).
tcf(c_13790,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Osynth(c_Event_Oused(X1)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oused(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11570,c_1029]) ).
tcf(c_13791,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11571,c_1029]) ).
tcf(c_13792,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Osynth(c_Event_Oknows(X0,X1)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oknows(X0,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11573,c_1029]) ).
tcf(c_13793,plain,
c_lessequals(c_Set_Oinsert(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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11578,c_1029]) ).
tcf(c_13794,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11579,c_1029]) ).
tcf(c_13795,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11630,c_1029]) ).
tcf(c_13796,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11656,c_1029]) ).
tcf(c_13797,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11754,c_1029]) ).
tcf(c_13798,plain,
c_lessequals(c_Set_Oinsert(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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11756,c_1029]) ).
tcf(c_13799,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11865,c_1029]) ).
tcf(c_13800,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11866,c_1029]) ).
tcf(c_13801,plain,
c_lessequals(c_Set_Oinsert(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_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11898,c_1029]) ).
tcf(c_13802,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11903,c_1029]) ).
tcf(c_13803,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11904,c_1029]) ).
tcf(c_13804,plain,
c_lessequals(c_Set_Oinsert(v_X,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11965,c_1029]) ).
tcf(c_13805,plain,
c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11972,c_1029]) ).
tcf(c_13806,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12328,c_1029]) ).
tcf(c_13807,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X1))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X1))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12329,c_1029]) ).
tcf(c_13809,plain,
! [X0: $i] : c_lessequals(c_Message_Osynth(c_Event_Oused(X0)),c_Message_Osynth(c_Event_Oused(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_13790,c_13658]) ).
tcf(c_13810,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_13787,c_13017]) ).
tcf(c_13811,plain,
c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_13797,c_13709]) ).
tcf(c_13830,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_882,c_1069]) ).
tcf(c_13831,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1023,c_1069]) ).
tcf(c_13832,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_3975,c_1069]) ).
tcf(c_13834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1069,c_11690]) ).
tcf(c_13835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2) = c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) )
| ~ c_in(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1069,c_836]) ).
tcf(c_13836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1069,c_11844]) ).
tcf(c_13837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1069,c_11820]) ).
tcf(c_13838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1069,c_11802]) ).
tcf(c_13839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1069,c_11775]) ).
tcf(c_13914,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_882,c_1070]) ).
tcf(c_13915,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1023,c_1070]) ).
tcf(c_13916,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_3975,c_1070]) ).
tcf(c_13918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1070,c_11690]) ).
tcf(c_13919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2) = c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) )
| ~ c_in(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1070,c_836]) ).
tcf(c_13920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1070,c_11844]) ).
tcf(c_13921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1070,c_11820]) ).
tcf(c_13922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1070,c_11802]) ).
tcf(c_13923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1070,c_11775]) ).
tcf(c_13962,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_1072,c_3975]) ).
tcf(c_13964,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_1072,c_11398]) ).
tcf(c_13974,plain,
! [X0: $i] : c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)) = c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_13438,c_836]) ).
tcf(c_13978,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_13195,c_836]) ).
tcf(c_13979,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13195,c_11844]) ).
tcf(c_13981,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13195,c_11802]) ).
tcf(c_13985,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13229,c_11690]) ).
tcf(c_13986,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13229,c_836]) ).
tcf(c_13987,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13229,c_760]) ).
tcf(c_13999,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13450,c_836]) ).
tcf(c_14000,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13450,c_11844]) ).
tcf(c_14002,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13450,c_11802]) ).
tcf(c_14008,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13230,c_11690]) ).
tcf(c_14009,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_13230,c_836]) ).
tcf(c_14010,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13230,c_760]) ).
tcf(c_14011,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),
inference(demodulation,[status(thm)],[c_12333,c_848]) ).
tcf(c_14012,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_1043,c_14011]) ).
tcf(c_14013,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_961,c_14011]) ).
tcf(c_14014,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_821,c_14011]) ).
tcf(c_14015,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_818,c_14011]) ).
tcf(c_14016,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_799,c_14011]) ).
tcf(c_14017,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_786,c_14011]) ).
tcf(c_14018,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X1)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11435,c_14011]) ).
tcf(c_14019,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_842,c_14011]) ).
tcf(c_14020,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11562,c_14011]) ).
tcf(c_14021,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X1)),c_Message_Osynth(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(X1))),
inference(superposition,[status(thm)],[c_11567,c_14011]) ).
tcf(c_14022,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_11903,c_14011]) ).
tcf(c_14023,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_12328,c_14011]) ).
tcf(c_14024,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X1))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X1))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X1)))),
inference(superposition,[status(thm)],[c_12329,c_14011]) ).
tcf(c_14026,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_14011,c_1029]) ).
tcf(c_14027,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_14011,c_864]) ).
tcf(c_14028,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_12879]) ).
tcf(c_14029,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_12878]) ).
tcf(c_14030,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_12875]) ).
tcf(c_14031,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_14011,c_824]) ).
tcf(c_14032,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_14011,c_845]) ).
tcf(c_14033,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_14011,c_853]) ).
tcf(c_14034,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_14011,c_842]) ).
tcf(c_14035,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_14011,c_1051]) ).
tcf(c_14036,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_841]) ).
tcf(c_14037,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_14011,c_862]) ).
tcf(c_14038,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_14011,c_814]) ).
tcf(c_14039,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_14011,c_850]) ).
tcf(c_14040,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_12877]) ).
tcf(c_14041,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))))),
inference(superposition,[status(thm)],[c_14011,c_14011]) ).
tcf(c_14042,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_14011,c_789]) ).
tcf(c_14043,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_14011,c_786]) ).
tcf(c_14052,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),
inference(light_normalisation,[status(thm)],[c_14019,c_786]) ).
tcf(c_14127,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_853]) ).
tcf(c_14128,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_12893]) ).
tcf(c_14141,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_820,c_4356]) ).
tcf(c_14142,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_802,c_4356]) ).
tcf(c_14144,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_789,c_4356]) ).
tcf(c_14145,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_853]) ).
tcf(c_14146,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_12893]) ).
tcf(c_14169,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_799,c_4358]) ).
tcf(c_14170,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_786,c_4358]) ).
tcf(c_14171,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11435,c_4358]) ).
tcf(c_14172,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_853]) ).
tcf(c_14173,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_12893]) ).
tcf(c_14199,plain,
! [X0: $i,X1: $i] :
( ( c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,X1) )
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[status(thm)],[c_691,c_836]) ).
tcf(c_14205,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Oanalz(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Oanalz(c_Message_Osynth(X2)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13769,c_836]) ).
tcf(c_14215,plain,
! [X0: $i] : c_in(c_Message_Oagent_OSpy,c_Lattices_Oupper__semilattice__class_Osup(X0,c_Event_Obad,tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent),
inference(superposition,[status(thm)],[c_998,c_12887]) ).
tcf(c_14216,plain,
! [X0: $i] : c_in(c_Message_Oagent_OSpy,c_Lattices_Oupper__semilattice__class_Osup(c_Event_Obad,X0,tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent),
inference(superposition,[status(thm)],[c_997,c_12887]) ).
tcf(c_14267,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Oagent_OSpy,c_Lattices_Oupper__semilattice__class_Osup(X0,c_Event_Obad,tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Event_Obad,tc_fun(tc_Message_Oagent,tc_bool)),
inference(superposition,[status(thm)],[c_14215,c_836]) ).
tcf(c_14273,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Oagent_OSpy,c_Lattices_Oupper__semilattice__class_Osup(c_Event_Obad,X0,tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent) = c_Lattices_Oupper__semilattice__class_Osup(c_Event_Obad,X0,tc_fun(tc_Message_Oagent,tc_bool)),
inference(superposition,[status(thm)],[c_14216,c_836]) ).
tcf(c_14275,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13231,c_11690]) ).
tcf(c_14276,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_13231,c_836]) ).
tcf(c_14278,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13232,c_11690]) ).
tcf(c_14279,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_13232,c_836]) ).
tcf(c_14292,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13226,c_11690]) ).
tcf(c_14293,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13226,c_836]) ).
tcf(c_14300,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_12896]) ).
tcf(c_14301,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_998,c_12896]) ).
tcf(c_14302,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_997,c_12896]) ).
tcf(c_14305,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_12896]) ).
tcf(c_14306,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_12896]) ).
tcf(c_14313,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12173,c_12896]) ).
tcf(c_14314,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13568,c_12896]) ).
tcf(c_14315,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13697,c_12896]) ).
tcf(c_14327,plain,
c_Set_Oinsert(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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13008,c_836]) ).
tcf(c_14328,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13008,c_11844]) ).
tcf(c_14329,plain,
c_in(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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13008,c_11820]) ).
tcf(c_14330,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13008,c_11802]) ).
tcf(c_14331,plain,
c_in(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_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13008,c_11775]) ).
tcf(c_14337,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13222,c_11690]) ).
tcf(c_14338,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13222,c_836]) ).
tcf(c_14346,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13223,c_11690]) ).
tcf(c_14347,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13223,c_836]) ).
tcf(c_14354,plain,
! [X0: $i] :
( c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OshrK,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat) ),
inference(superposition,[status(thm)],[c_983,c_702]) ).
tcf(c_14360,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_List_Olist_OCons(X0,X1,X2) = c_List_Olist_ONil(X2) )
| ( c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ) ),
inference(superposition,[status(thm)],[c_726,c_732]) ).
tcf(c_14371,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Osynth(c_Event_Oknows(X0,X1)),tc_Message_Omsg) = c_Message_Osynth(c_Event_Oknows(X0,X1)),
inference(superposition,[status(thm)],[c_13002,c_836]) ).
tcf(c_14374,plain,
c_Set_Oinsert(v_X,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13014,c_836]) ).
tcf(c_14376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OCrypt(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_13016]) ).
tcf(c_14379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13016,c_11690]) ).
tcf(c_14380,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13016,c_836]) ).
tcf(c_14381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13016,c_11844]) ).
tcf(c_14382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13016,c_11820]) ).
tcf(c_14383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13016,c_11802]) ).
tcf(c_14384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13016,c_11775]) ).
tcf(c_14385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13016,c_779]) ).
tcf(c_14386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13016,c_778]) ).
tcf(c_14387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13016,c_760]) ).
tcf(c_14438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X0,X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_13018]) ).
tcf(c_14441,plain,
c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_13018]) ).
tcf(c_14442,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_13018]) ).
tcf(c_14443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X0),X2),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13018,c_11690]) ).
tcf(c_14444,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13018,c_836]) ).
tcf(c_14445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13018,c_11844]) ).
tcf(c_14446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13018,c_11820]) ).
tcf(c_14447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13018,c_11802]) ).
tcf(c_14448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13018,c_11775]) ).
tcf(c_14449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13018,c_779]) ).
tcf(c_14450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13018,c_778]) ).
tcf(c_14451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X0),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13018,c_760]) ).
tcf(c_14459,plain,
c_Set_Oinsert(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_13236,c_836]) ).
tcf(c_14460,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13236,c_11844]) ).
tcf(c_14461,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13236,c_11820]) ).
tcf(c_14462,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13236,c_11802]) ).
tcf(c_14463,plain,
c_in(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_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13236,c_11775]) ).
tcf(c_14477,plain,
! [X0: $i] : c_Set_Oinsert(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_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13451,c_836]) ).
tcf(c_14478,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13451,c_11844]) ).
tcf(c_14479,plain,
! [X0: $i] : c_in(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_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13451,c_11820]) ).
tcf(c_14480,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13451,c_11802]) ).
tcf(c_14481,plain,
! [X0: $i] : c_in(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_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13451,c_11775]) ).
tcf(c_14487,plain,
! [X0: $i] : c_in(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_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_802,c_13581]) ).
tcf(c_14488,plain,
! [X0: $i] : c_in(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_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_789,c_13581]) ).
tcf(c_14500,plain,
! [X0: $i] : c_Set_Oinsert(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_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_13581,c_836]) ).
tcf(c_14501,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13581,c_11844]) ).
tcf(c_14502,plain,
! [X0: $i] : c_in(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_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13581,c_11820]) ).
tcf(c_14503,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13581,c_11802]) ).
tcf(c_14504,plain,
! [X0: $i] : c_in(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_Oanalz(c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13581,c_11775]) ).
tcf(c_14560,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_14128]) ).
tcf(c_14561,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_998,c_14128]) ).
tcf(c_14562,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_997,c_14128]) ).
tcf(c_14563,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1020,c_14128]) ).
tcf(c_14565,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_14128]) ).
tcf(c_14566,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_14128]) ).
tcf(c_14567,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_850,c_14128]) ).
tcf(c_14568,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_874,c_14128]) ).
tcf(c_14569,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_827,c_14128]) ).
tcf(c_14570,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11926,c_14128]) ).
tcf(c_14571,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11945,c_14128]) ).
tcf(c_14572,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11946,c_14128]) ).
tcf(c_14573,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12173,c_14128]) ).
tcf(c_14574,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13568,c_14128]) ).
tcf(c_14575,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13697,c_14128]) ).
tcf(c_14590,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_14146]) ).
tcf(c_14591,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_998,c_14146]) ).
tcf(c_14592,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_997,c_14146]) ).
tcf(c_14595,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_14146]) ).
tcf(c_14596,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oanalz(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_14146]) ).
tcf(c_14597,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_850,c_14146]) ).
tcf(c_14598,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_874,c_14146]) ).
tcf(c_14599,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_827,c_14146]) ).
tcf(c_14600,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11926,c_14146]) ).
tcf(c_14601,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11945,c_14146]) ).
tcf(c_14602,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11946,c_14146]) ).
tcf(c_14603,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12173,c_14146]) ).
tcf(c_14604,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13568,c_14146]) ).
tcf(c_14605,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13697,c_14146]) ).
tcf(c_14618,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Osynth(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_14173]) ).
tcf(c_14619,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_998,c_14173]) ).
tcf(c_14620,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_997,c_14173]) ).
tcf(c_14623,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_14173]) ).
tcf(c_14624,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oanalz(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_14173]) ).
tcf(c_14625,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_850,c_14173]) ).
tcf(c_14626,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_874,c_14173]) ).
tcf(c_14627,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_827,c_14173]) ).
tcf(c_14628,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11926,c_14173]) ).
tcf(c_14629,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11945,c_14173]) ).
tcf(c_14630,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11946,c_14173]) ).
tcf(c_14631,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12173,c_14173]) ).
tcf(c_14632,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13568,c_14173]) ).
tcf(c_14633,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13697,c_14173]) ).
tcf(c_14684,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(demodulation,[status(thm)],[c_13323,c_838]) ).
tcf(c_14685,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14684,c_14173]) ).
tcf(c_14686,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14684,c_14146]) ).
tcf(c_14687,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14684,c_14128]) ).
tcf(c_14688,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14684,c_12896]) ).
tcf(c_14689,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14684,c_12893]) ).
tcf(c_14690,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14689,c_11690]) ).
tcf(c_14691,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_14689,c_836]) ).
tcf(c_14702,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1013,c_780]) ).
tcf(c_14703,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1043,c_780]) ).
tcf(c_14704,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_961,c_780]) ).
tcf(c_14705,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(X2))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_821,c_780]) ).
tcf(c_14706,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(X2))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oparts(X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_818,c_780]) ).
tcf(c_14707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(X3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_799,c_780]) ).
tcf(c_14708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Message_Oanalz(X3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_786,c_780]) ).
tcf(c_14709,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X2))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_11435,c_780]) ).
tcf(c_14716,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_14703,c_1043]) ).
tcf(c_14739,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1013,c_781]) ).
tcf(c_14740,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1043,c_781]) ).
tcf(c_14741,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_961,c_781]) ).
tcf(c_14742,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(X2))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_821,c_781]) ).
tcf(c_14743,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(X2))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oparts(X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_818,c_781]) ).
tcf(c_14744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(X3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_799,c_781]) ).
tcf(c_14745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Message_Oanalz(X3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_786,c_781]) ).
tcf(c_14746,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X2))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_11435,c_781]) ).
tcf(c_14753,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_14740,c_1043]) ).
tcf(c_14768,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oanalz(X1) )
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_819,c_815]) ).
tcf(c_14769,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),
inference(superposition,[status(thm)],[c_912,c_815]) ).
tcf(c_14770,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X2,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_814,c_815]) ).
tcf(c_14771,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11876,c_815]) ).
tcf(c_14772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11958,c_815]) ).
tcf(c_14773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11959,c_815]) ).
tcf(c_14774,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12096,c_815]) ).
tcf(c_14775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12127,c_815]) ).
tcf(c_14776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12128,c_815]) ).
tcf(c_14777,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(X1)),
inference(superposition,[status(thm)],[c_13128,c_815]) ).
tcf(c_14778,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oused(X1),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oused(X1)),
inference(superposition,[status(thm)],[c_13129,c_815]) ).
tcf(c_14779,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12879,c_815]) ).
tcf(c_14780,plain,
! [X0: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(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)))),X0,tc_Message_Omsg)) = c_Message_Oanalz(X0) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_815]) ).
tcf(c_14781,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_13232,c_815]) ).
tcf(c_14782,plain,
! [X0: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) )
| ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1043,c_815]) ).
tcf(c_14783,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) )
| ~ c_in(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_961,c_815]) ).
tcf(c_14784,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Oanalz(X1)) )
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_821,c_815]) ).
tcf(c_14785,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Oparts(X1)) )
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_818,c_815]) ).
tcf(c_14786,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) )
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_799,c_815]) ).
tcf(c_14787,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) )
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_786,c_815]) ).
tcf(c_14788,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))) )
| ~ c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_11435,c_815]) ).
tcf(c_14800,plain,
! [X0: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) )
| ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_14782,c_1043]) ).
tcf(c_14867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_13019]) ).
tcf(c_14870,plain,
c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_13019]) ).
tcf(c_14871,plain,
c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_13019]) ).
tcf(c_14872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13019,c_11690]) ).
tcf(c_14873,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13019,c_836]) ).
tcf(c_14874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13019,c_11844]) ).
tcf(c_14875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13019,c_11820]) ).
tcf(c_14876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13019,c_11802]) ).
tcf(c_14877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13019,c_11775]) ).
tcf(c_14878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13019,c_779]) ).
tcf(c_14879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13019,c_778]) ).
tcf(c_14880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13019,c_760]) ).
tcf(c_14887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X0,X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_13020]) ).
tcf(c_14890,plain,
c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_13020]) ).
tcf(c_14891,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_13020]) ).
tcf(c_14892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X0),X2),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13020,c_11690]) ).
tcf(c_14893,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13020,c_836]) ).
tcf(c_14894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13020,c_11844]) ).
tcf(c_14895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13020,c_11820]) ).
tcf(c_14896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13020,c_11802]) ).
tcf(c_14897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13020,c_11775]) ).
tcf(c_14898,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13020,c_815]) ).
tcf(c_14900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X1),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13020,c_777]) ).
tcf(c_14901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,X0),X2),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13020,c_776]) ).
tcf(c_14942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OMPair(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_13021]) ).
tcf(c_14945,plain,
c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_13021]) ).
tcf(c_14946,plain,
c_in(v_X,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_13021]) ).
tcf(c_14947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13021,c_11690]) ).
tcf(c_14948,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13021,c_836]) ).
tcf(c_14949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13021,c_11844]) ).
tcf(c_14950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13021,c_11820]) ).
tcf(c_14951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13021,c_11802]) ).
tcf(c_14952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13021,c_11775]) ).
tcf(c_14953,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13021,c_815]) ).
tcf(c_14955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13021,c_777]) ).
tcf(c_14956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13021,c_776]) ).
tcf(c_14961,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(X0,X1)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(X0,X1)),
inference(superposition,[status(thm)],[c_13079,c_836]) ).
tcf(c_14962,plain,
! [X0: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Event_Oused(X0),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13079,c_1032]) ).
tcf(c_14964,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13569,c_11690]) ).
tcf(c_14965,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_13569,c_836]) ).
tcf(c_14971,plain,
! [X0: $i] : c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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_Lattices_Oupper__semilattice__class_Osup(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)),
inference(superposition,[status(thm)],[c_998,c_13203]) ).
tcf(c_14972,plain,
! [X0: $i] : c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(v_evs3,tc_Event_Oevent),X0,tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(v_evs3,tc_Event_Oevent),X0,tc_fun(tc_Event_Oevent,tc_bool)),
inference(superposition,[status(thm)],[c_997,c_13203]) ).
tcf(c_14982,plain,
! [X0: $i] :
( ( c_Set_Oinsert(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))),X0,tc_Message_Omsg) = X0 )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_836]) ).
tcf(c_14983,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_11844]) ).
tcf(c_14984,plain,
! [X0: $i] :
( c_in(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(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_11820]) ).
tcf(c_14985,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_11802]) ).
tcf(c_14986,plain,
! [X0: $i] :
( c_in(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_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_11775]) ).
tcf(c_14987,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NA),c_Event_Oused(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_1039]) ).
tcf(c_14988,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oused(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_1038]) ).
tcf(c_14989,plain,
! [X0: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(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))),X0,tc_Message_Omsg)) = c_Message_Oanalz(X0) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_815]) ).
tcf(c_14990,plain,
! [X0: $i] :
( c_in(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_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_813]) ).
tcf(c_14992,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_781]) ).
tcf(c_14993,plain,
! [X0: $i] :
( c_in(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_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_780]) ).
tcf(c_14994,plain,
! [X0: $i] :
( c_in(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_Event_Oused(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_1032]) ).
tcf(c_14995,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_779]) ).
tcf(c_14996,plain,
! [X0: $i] :
( c_in(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(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_778]) ).
tcf(c_14997,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_777]) ).
tcf(c_14998,plain,
! [X0: $i] :
( c_in(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_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_776]) ).
tcf(c_15063,plain,
c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13196,c_1029]) ).
tcf(c_15064,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13196,c_1029]) ).
tcf(c_15065,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13196,c_864]) ).
tcf(c_15069,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13196,c_824]) ).
tcf(c_15071,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13196,c_853]) ).
tcf(c_15072,plain,
c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13196,c_1051]) ).
tcf(c_15077,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13196,c_12877]) ).
tcf(c_15078,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13196,c_13016]) ).
tcf(c_15082,plain,
! [X0: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13196,c_13437]) ).
tcf(c_15086,plain,
c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_15069,c_14279]) ).
tcf(c_15087,plain,
c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_15065,c_14276]) ).
tcf(c_15093,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_Aa,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)))),X1,tc_Event_Oevent)
| ~ c_lessequals(c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),X1,tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_13519,c_853]) ).
tcf(c_15094,plain,
! [X0: $i] : c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) != c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),
inference(superposition,[status(thm)],[c_13519,c_1051]) ).
tcf(c_15096,plain,
! [X0: $i] : c_lessequals(c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)),
inference(superposition,[status(thm)],[c_13519,c_850]) ).
tcf(c_15097,plain,
! [X0: $i,X1: $i] : c_in(c_Event_Oevent_OSays(v_Aa,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_Set_Oinsert(X0,c_Set_Oinsert(X1,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
inference(superposition,[status(thm)],[c_13519,c_12877]) ).
tcf(c_15098,plain,
! [X0: $i] : c_in(X0,c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
inference(superposition,[status(thm)],[c_13519,c_12877]) ).
tcf(c_15110,plain,
! [X0: $i,X1: $i] :
( c_in(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_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_802,c_13670]) ).
tcf(c_15112,plain,
! [X0: $i,X1: $i] :
( c_in(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_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_789,c_13670]) ).
tcf(c_15113,plain,
! [X0: $i] :
( ( c_Set_Oinsert(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_Message_Oparts(X0),tc_Message_Omsg) = c_Message_Oparts(X0) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13670,c_836]) ).
tcf(c_15114,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13670,c_11844]) ).
tcf(c_15115,plain,
! [X0: $i] :
( c_in(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_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13670,c_11820]) ).
tcf(c_15116,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13670,c_11802]) ).
tcf(c_15117,plain,
! [X0: $i] :
( c_in(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_Oanalz(c_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13670,c_11775]) ).
tcf(c_15118,plain,
! [X0: $i] :
( c_in(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_Event_Oused(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13670,c_1032]) ).
tcf(c_15144,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_944,c_12369]) ).
tcf(c_15145,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12369,c_1029]) ).
tcf(c_15146,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12369,c_864]) ).
tcf(c_15147,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_12879]) ).
tcf(c_15148,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_12878]) ).
tcf(c_15149,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_12875]) ).
tcf(c_15150,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12369,c_824]) ).
tcf(c_15152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_Message_Omsg_OAgent(X1),X3,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12369,c_853]) ).
tcf(c_15153,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12369,c_1051]) ).
tcf(c_15154,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_841]) ).
tcf(c_15157,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12369,c_850]) ).
tcf(c_15158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_12877]) ).
tcf(c_15159,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12369,c_864]) ).
tcf(c_15160,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_12369,c_14011]) ).
tcf(c_15161,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_12369,c_789]) ).
tcf(c_15162,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_12369,c_786]) ).
tcf(c_15233,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) )
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_860]) ).
tcf(c_15234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X2,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_860]) ).
tcf(c_15235,plain,
c_Message_Oparts(c_Set_Oinsert(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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_680,c_860]) ).
tcf(c_15236,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_681,c_860]) ).
tcf(c_15237,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),
inference(superposition,[status(thm)],[c_11631,c_860]) ).
tcf(c_15238,plain,
c_Message_Oparts(c_Set_Oinsert(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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11691,c_860]) ).
tcf(c_15239,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11692,c_860]) ).
tcf(c_15240,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11715,c_860]) ).
tcf(c_15241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11737,c_860]) ).
tcf(c_15242,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11821,c_860]) ).
tcf(c_15243,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11822,c_860]) ).
tcf(c_15244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11823,c_860]) ).
tcf(c_15245,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11845,c_860]) ).
tcf(c_15246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11847,c_860]) ).
tcf(c_15247,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11900,c_860]) ).
tcf(c_15248,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11901,c_860]) ).
tcf(c_15249,plain,
c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11906,c_860]) ).
tcf(c_15250,plain,
c_Message_Oparts(c_Set_Oinsert(v_X,c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11907,c_860]) ).
tcf(c_15251,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11957,c_860]) ).
tcf(c_15252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X0,X2)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12074,c_860]) ).
tcf(c_15253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X0)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12075,c_860]) ).
tcf(c_15254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X0)),X3,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12076,c_860]) ).
tcf(c_15255,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12126,c_860]) ).
tcf(c_15256,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12878,c_860]) ).
tcf(c_15257,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(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)))),X0,tc_Message_Omsg)) = c_Message_Oparts(X0) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_860]) ).
tcf(c_15258,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(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))),X0,tc_Message_Omsg)) = c_Message_Oparts(X0) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_860]) ).
tcf(c_15259,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(X1)),
inference(superposition,[status(thm)],[c_13076,c_860]) ).
tcf(c_15260,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oused(X1),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oused(X1)),
inference(superposition,[status(thm)],[c_13077,c_860]) ).
tcf(c_15261,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(X0,X1)),
inference(superposition,[status(thm)],[c_13079,c_860]) ).
tcf(c_15262,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13016,c_860]) ).
tcf(c_15263,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13018,c_860]) ).
tcf(c_15264,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13019,c_860]) ).
tcf(c_15265,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_13195,c_860]) ).
tcf(c_15266,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_13229,c_860]) ).
tcf(c_15267,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_13230,c_860]) ).
tcf(c_15268,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_13231,c_860]) ).
tcf(c_15269,plain,
c_Message_Oparts(c_Set_Oinsert(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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_13236,c_860]) ).
tcf(c_15270,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_13569,c_860]) ).
tcf(c_15271,plain,
! [X0: $i] : c_Message_Oparts(c_Set_Oinsert(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_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_13581,c_860]) ).
tcf(c_15272,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(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))),X0,tc_Message_Omsg)) = c_Message_Oparts(X0) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13670,c_860]) ).
tcf(c_15273,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_14689,c_860]) ).
tcf(c_15274,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) )
| ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_872,c_860]) ).
tcf(c_15275,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) )
| ~ c_in(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_968,c_860]) ).
tcf(c_15276,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Oanalz(X1)) )
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_820,c_860]) ).
tcf(c_15277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) )
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_802,c_860]) ).
tcf(c_15278,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Oparts(X1)) )
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_859,c_860]) ).
tcf(c_15279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) )
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_789,c_860]) ).
tcf(c_15292,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) )
| ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_15274,c_872]) ).
tcf(c_15440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Event_Oknows(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X0),X3,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_733,c_884]) ).
tcf(c_15441,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_730,c_884]) ).
tcf(c_15442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Event_Oknows(X0,c_List_Olist_OCons(X2,X3,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X0,X1),c_Set_Oinsert(X2,c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_726,c_884]) ).
tcf(c_15461,plain,
c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(demodulation,[status(thm)],[c_15236,c_838]) ).
tcf(c_15465,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_12173]) ).
tcf(c_15466,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_11946]) ).
tcf(c_15467,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_11945]) ).
tcf(c_15468,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_11926]) ).
tcf(c_15469,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15461,c_882]) ).
tcf(c_15470,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_831]) ).
tcf(c_15471,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_874]) ).
tcf(c_15472,plain,
c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_15461,c_859]) ).
tcf(c_15473,plain,
c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_15461,c_818]) ).
tcf(c_15474,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15461,c_860]) ).
tcf(c_15475,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15461,c_4356]) ).
tcf(c_15476,plain,
! [X0: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_864]) ).
tcf(c_15477,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15461,c_861]) ).
tcf(c_15478,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15461,c_779]) ).
tcf(c_15479,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15461,c_778]) ).
tcf(c_15480,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15461,c_760]) ).
tcf(c_15481,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_864]) ).
tcf(c_15482,plain,
c_in(v_Xa,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15461,c_12878]) ).
tcf(c_15483,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15461,c_862]) ).
tcf(c_15488,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_15480,c_15461]) ).
tcf(c_15491,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_15479,c_15461]) ).
tcf(c_15494,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_15478,c_15461]) ).
tcf(c_15499,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_15474,c_15461]) ).
tcf(c_15532,plain,
c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(demodulation,[status(thm)],[c_15235,c_838]) ).
tcf(c_15537,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_11945]) ).
tcf(c_15538,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_11926]) ).
tcf(c_15539,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15532,c_882]) ).
tcf(c_15540,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_831]) ).
tcf(c_15541,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_874]) ).
tcf(c_15544,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15532,c_860]) ).
tcf(c_15545,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15532,c_4356]) ).
tcf(c_15546,plain,
! [X0: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_864]) ).
tcf(c_15547,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15532,c_861]) ).
tcf(c_15548,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15532,c_779]) ).
tcf(c_15549,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15532,c_778]) ).
tcf(c_15550,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15532,c_760]) ).
tcf(c_15551,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_864]) ).
tcf(c_15553,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15532,c_862]) ).
tcf(c_15563,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_15544,c_15532]) ).
tcf(c_15604,plain,
c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(demodulation,[status(thm)],[c_15239,c_838]) ).
tcf(c_15610,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_11945]) ).
tcf(c_15611,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_11926]) ).
tcf(c_15612,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15604,c_882]) ).
tcf(c_15613,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_831]) ).
tcf(c_15614,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_874]) ).
tcf(c_15617,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15604,c_860]) ).
tcf(c_15618,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15604,c_4356]) ).
tcf(c_15619,plain,
! [X0: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_864]) ).
tcf(c_15620,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15604,c_861]) ).
tcf(c_15621,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15604,c_779]) ).
tcf(c_15622,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15604,c_778]) ).
tcf(c_15623,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15604,c_760]) ).
tcf(c_15624,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_864]) ).
tcf(c_15626,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15604,c_862]) ).
tcf(c_15636,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_15617,c_15604]) ).
tcf(c_15675,plain,
c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(demodulation,[status(thm)],[c_15238,c_838]) ).
tcf(c_15679,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_11945]) ).
tcf(c_15680,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_11926]) ).
tcf(c_15681,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15675,c_882]) ).
tcf(c_15682,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_831]) ).
tcf(c_15683,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_874]) ).
tcf(c_15686,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15675,c_860]) ).
tcf(c_15687,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15675,c_4356]) ).
tcf(c_15688,plain,
! [X0: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_864]) ).
tcf(c_15689,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15675,c_861]) ).
tcf(c_15690,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15675,c_779]) ).
tcf(c_15691,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15675,c_778]) ).
tcf(c_15692,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15675,c_760]) ).
tcf(c_15693,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_864]) ).
tcf(c_15695,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15675,c_862]) ).
tcf(c_15705,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_15686,c_15675]) ).
tcf(c_15753,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X1))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X1))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12370,c_1029]) ).
tcf(c_15754,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(X1))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(X1))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12370,c_864]) ).
tcf(c_15755,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12370,c_12879]) ).
tcf(c_15756,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12370,c_12878]) ).
tcf(c_15757,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12370,c_12875]) ).
tcf(c_15758,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X1))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X1))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12370,c_824]) ).
tcf(c_15760,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12370,c_853]) ).
tcf(c_15761,plain,
! [X0: $i] : c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Message_Oparts(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_12370,c_1051]) ).
tcf(c_15766,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12370,c_12877]) ).
tcf(c_15767,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X0),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12370,c_864]) ).
tcf(c_15768,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X1))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X1))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X1)))),
inference(superposition,[status(thm)],[c_12370,c_14011]) ).
tcf(c_15769,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(X1))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(X1))),
inference(superposition,[status(thm)],[c_12370,c_789]) ).
tcf(c_15770,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X1))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X1))),
inference(superposition,[status(thm)],[c_12370,c_786]) ).
tcf(c_15843,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_List_Oappend(X0,c_List_Olist_ONil(X1),X1) != X2 ) ),
inference(superposition,[status(thm)],[c_942,c_954]) ).
tcf(c_15852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_List_Oappend(c_List_Olist_ONil(X0),X1,X0) != X2 ) ),
inference(superposition,[status(thm)],[c_944,c_955]) ).
tcf(c_15861,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15766,c_836]) ).
tcf(c_15863,plain,
c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(demodulation,[status(thm)],[c_15242,c_838]) ).
tcf(c_15867,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_11945]) ).
tcf(c_15868,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_11926]) ).
tcf(c_15869,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15863,c_882]) ).
tcf(c_15870,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_831]) ).
tcf(c_15871,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_874]) ).
tcf(c_15874,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15863,c_860]) ).
tcf(c_15875,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15863,c_4356]) ).
tcf(c_15876,plain,
! [X0: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_864]) ).
tcf(c_15877,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15863,c_861]) ).
tcf(c_15878,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15863,c_779]) ).
tcf(c_15879,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15863,c_778]) ).
tcf(c_15880,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15863,c_760]) ).
tcf(c_15881,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_864]) ).
tcf(c_15883,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15863,c_862]) ).
tcf(c_15893,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_15874,c_15863]) ).
tcf(c_15955,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_861,c_15483]) ).
tcf(c_15956,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_862,c_15483]) ).
tcf(c_15970,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15468,c_14173]) ).
tcf(c_15971,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15468,c_14146]) ).
tcf(c_15972,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15468,c_14128]) ).
tcf(c_15973,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15468,c_12896]) ).
tcf(c_15974,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15468,c_12893]) ).
tcf(c_15975,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15974,c_11690]) ).
tcf(c_15976,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15974,c_836]) ).
tcf(c_15977,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15974,c_860]) ).
tcf(c_15979,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),
inference(demodulation,[status(thm)],[c_12376,c_848]) ).
tcf(c_15980,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_872,c_15979]) ).
tcf(c_15981,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_968,c_15979]) ).
tcf(c_15982,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_820,c_15979]) ).
tcf(c_15983,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_802,c_15979]) ).
tcf(c_15984,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_859,c_15979]) ).
tcf(c_15985,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_789,c_15979]) ).
tcf(c_15986,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15461,c_15979]) ).
tcf(c_15987,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15532,c_15979]) ).
tcf(c_15988,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15604,c_15979]) ).
tcf(c_15989,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15675,c_15979]) ).
tcf(c_15990,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15863,c_15979]) ).
tcf(c_15991,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_842,c_15979]) ).
tcf(c_15992,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11562,c_15979]) ).
tcf(c_15993,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(X1)),c_Message_Osynth(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(X1))),
inference(superposition,[status(thm)],[c_11567,c_15979]) ).
tcf(c_15994,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_11903,c_15979]) ).
tcf(c_15995,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_12328,c_15979]) ).
tcf(c_15996,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X1))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X1))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X1)))),
inference(superposition,[status(thm)],[c_12329,c_15979]) ).
tcf(c_15997,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_12369,c_15979]) ).
tcf(c_15998,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(X1))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X1))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X1)))),
inference(superposition,[status(thm)],[c_12370,c_15979]) ).
tcf(c_15999,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))))),
inference(superposition,[status(thm)],[c_14011,c_15979]) ).
tcf(c_16001,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15979,c_1029]) ).
tcf(c_16002,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15979,c_864]) ).
tcf(c_16003,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_12879]) ).
tcf(c_16004,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_12878]) ).
tcf(c_16005,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_12875]) ).
tcf(c_16006,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15979,c_824]) ).
tcf(c_16007,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15979,c_845]) ).
tcf(c_16008,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15979,c_853]) ).
tcf(c_16009,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15979,c_842]) ).
tcf(c_16010,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15979,c_1051]) ).
tcf(c_16011,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_841]) ).
tcf(c_16012,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15979,c_862]) ).
tcf(c_16013,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15979,c_814]) ).
tcf(c_16014,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15979,c_850]) ).
tcf(c_16015,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_12877]) ).
tcf(c_16016,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))))),
inference(superposition,[status(thm)],[c_15979,c_15979]) ).
tcf(c_16017,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))))),
inference(superposition,[status(thm)],[c_15979,c_14011]) ).
tcf(c_16018,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_15979,c_789]) ).
tcf(c_16019,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_15979,c_786]) ).
tcf(c_16024,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),
inference(light_normalisation,[status(thm)],[c_15984,c_14015]) ).
tcf(c_16029,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),
inference(light_normalisation,[status(thm)],[c_15991,c_789]) ).
tcf(c_16030,plain,
! [X0: $i] : c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
inference(light_normalisation,[status(thm)],[c_15980,c_14012]) ).
tcf(c_16031,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg))) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg))),
inference(light_normalisation,[status(thm)],[c_15981,c_14013]) ).
tcf(c_16117,plain,
! [X0: $i] :
( c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_983,c_966]) ).
tcf(c_16130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Event_Oused(c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X4,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_733,c_1031]) ).
tcf(c_16131,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_677,c_1031]) ).
tcf(c_16132,plain,
c_in(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_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_678,c_1031]) ).
tcf(c_16133,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Event_Oused(X0),tc_Message_Omsg)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12890,c_1031]) ).
tcf(c_16134,plain,
! [X0: $i] :
( c_in(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_Event_Oused(X0),tc_Message_Omsg)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12891,c_1031]) ).
tcf(c_16135,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_730,c_1031]) ).
tcf(c_16136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X2,c_Event_Oused(c_List_Olist_OCons(X3,X4,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_Set_Oinsert(X3,c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_726,c_1031]) ).
tcf(c_16153,plain,
! [X0: $i] :
( ( c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))) = X0 )
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12890,c_1056]) ).
tcf(c_16154,plain,
! [X0: $i] :
( ( c_Event_Oevent_OSays(v_Aa,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)))) = X0 )
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12891,c_1056]) ).
tcf(c_16155,plain,
! [X0: $i] :
( ( 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)))) = X0 )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_1056]) ).
tcf(c_16156,plain,
! [X0: $i] :
( ( 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))) = X0 )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_1056]) ).
tcf(c_16199,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oknows(X0,X1)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oknows(X0,X1)),
inference(superposition,[status(thm)],[c_13131,c_836]) ).
tcf(c_16200,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(X0,X1)),
inference(superposition,[status(thm)],[c_13131,c_815]) ).
tcf(c_16206,plain,
c_Set_Oinsert(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_Event_Oused(v_evs3),tc_Message_Omsg) = c_Event_Oused(v_evs3),
inference(superposition,[status(thm)],[c_16132,c_836]) ).
tcf(c_16207,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16132,c_11844]) ).
tcf(c_16208,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16132,c_11820]) ).
tcf(c_16209,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16132,c_11802]) ).
tcf(c_16210,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16132,c_11775]) ).
tcf(c_16211,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16132,c_1039]) ).
tcf(c_16212,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16132,c_1038]) ).
tcf(c_16215,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16131,c_11690]) ).
tcf(c_16216,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Event_Oused(v_evs3),tc_Message_Omsg) = c_Event_Oused(v_evs3),
inference(superposition,[status(thm)],[c_16131,c_836]) ).
tcf(c_16217,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Event_Oused(v_evs3),tc_Message_Omsg) = c_Event_Oused(v_evs3),
inference(superposition,[status(thm)],[c_16211,c_836]) ).
tcf(c_16222,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16207,c_836]) ).
tcf(c_16223,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Event_Oused(v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16207,c_860]) ).
tcf(c_16225,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16209,c_836]) ).
tcf(c_16226,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Event_Oused(v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16209,c_815]) ).
tcf(c_16235,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Event_Oused(v_evs3),tc_Message_Omsg) = c_Event_Oused(v_evs3),
inference(superposition,[status(thm)],[c_16212,c_836]) ).
tcf(c_16236,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16212,c_11844]) ).
tcf(c_16237,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16212,c_11820]) ).
tcf(c_16238,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16212,c_11802]) ).
tcf(c_16239,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16212,c_11775]) ).
tcf(c_16240,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16212,c_1039]) ).
tcf(c_16241,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16212,c_1038]) ).
tcf(c_16257,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16208,c_836]) ).
tcf(c_16258,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16208,c_11844]) ).
tcf(c_16259,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Oparts(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16208,c_11820]) ).
tcf(c_16260,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Message_Oparts(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16208,c_11802]) ).
tcf(c_16261,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Oparts(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16208,c_11775]) ).
tcf(c_16262,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Event_Oused(v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16208,c_860]) ).
tcf(c_16291,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16210,c_836]) ).
tcf(c_16292,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oanalz(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16210,c_11844]) ).
tcf(c_16293,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Oanalz(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16210,c_11820]) ).
tcf(c_16294,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16210,c_11802]) ).
tcf(c_16295,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16210,c_11775]) ).
tcf(c_16296,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Event_Oused(v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16210,c_815]) ).
tcf(c_16338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X4,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_733,c_723]) ).
tcf(c_16339,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_677,c_723]) ).
tcf(c_16340,plain,
c_in(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_678,c_723]) ).
tcf(c_16341,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12890,c_723]) ).
tcf(c_16342,plain,
! [X0: $i] :
( c_in(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_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12891,c_723]) ).
tcf(c_16343,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_730,c_723]) ).
tcf(c_16344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X3,X4,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_Set_Oinsert(X3,c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_726,c_723]) ).
tcf(c_16410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Event_Oknows(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X3,X0),X4,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_733,c_725]) ).
tcf(c_16411,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Event_Oknows(v_S,v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_677,c_725]) ).
tcf(c_16412,plain,
c_in(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_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_678,c_725]) ).
tcf(c_16413,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Event_Oknows(v_S,X0),tc_Message_Omsg)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12890,c_725]) ).
tcf(c_16414,plain,
! [X0: $i] :
( c_in(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_Event_Oknows(v_Aa,X0),tc_Message_Omsg)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12891,c_725]) ).
tcf(c_16415,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_730,c_725]) ).
tcf(c_16416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X2,c_Event_Oknows(X0,c_List_Olist_OCons(X3,X4,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_Set_Oinsert(X3,c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_726,c_725]) ).
tcf(c_16427,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_842,c_767]) ).
tcf(c_16428,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(hAPP(c_Message_Omsg_OKey,X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(hAPP(c_Message_Omsg_OKey,X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11562,c_767]) ).
tcf(c_16432,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),
inference(superposition,[status(thm)],[c_11630,c_767]) ).
tcf(c_16433,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),
inference(superposition,[status(thm)],[c_11656,c_767]) ).
tcf(c_16434,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11972,c_767]) ).
tcf(c_16435,plain,
! [X0: $i,X1: $i] :
( c_in(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_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_767,c_13670]) ).
tcf(c_16436,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_12173]) ).
tcf(c_16437,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_11946]) ).
tcf(c_16438,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_11945]) ).
tcf(c_16439,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_11926]) ).
tcf(c_16440,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_767,c_882]) ).
tcf(c_16441,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_831]) ).
tcf(c_16442,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_874]) ).
tcf(c_16443,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_767,c_859]) ).
tcf(c_16444,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_767,c_818]) ).
tcf(c_16445,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_767,c_15979]) ).
tcf(c_16446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) )
| ~ c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_767,c_860]) ).
tcf(c_16447,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_767,c_4356]) ).
tcf(c_16448,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_864]) ).
tcf(c_16449,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_767,c_861]) ).
tcf(c_16450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_767,c_779]) ).
tcf(c_16451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_767,c_778]) ).
tcf(c_16452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_767,c_760]) ).
tcf(c_16453,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_864]) ).
tcf(c_16454,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_767,c_12878]) ).
tcf(c_16455,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_767,c_862]) ).
tcf(c_16456,plain,
! [X0: $i] : c_in(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_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_767,c_13581]) ).
tcf(c_16461,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_16427,c_767]) ).
tcf(c_16521,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_828]) ).
tcf(c_16522,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_827,c_828]) ).
tcf(c_16523,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12143,c_828]) ).
tcf(c_16524,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12172,c_828]) ).
tcf(c_16529,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_799,c_828]) ).
tcf(c_16530,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_786,c_828]) ).
tcf(c_16531,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11435,c_828]) ).
tcf(c_16532,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1043,c_828]) ).
tcf(c_16533,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_961,c_828]) ).
tcf(c_16534,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_821,c_828]) ).
tcf(c_16535,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_818,c_828]) ).
tcf(c_16536,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_799,c_828]) ).
tcf(c_16537,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_786,c_828]) ).
tcf(c_16538,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11435,c_828]) ).
tcf(c_16546,plain,
! [X0: $i] :
( c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_16532,c_1043]) ).
tcf(c_16632,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oused(v_evs3),tc_Message_Omsg) = c_Event_Oused(v_evs3),
inference(superposition,[status(thm)],[c_16240,c_836]) ).
tcf(c_16633,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs3),tc_Message_Omsg) = c_Event_Oused(v_evs3),
inference(superposition,[status(thm)],[c_16241,c_836]) ).
tcf(c_16634,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16236,c_836]) ).
tcf(c_16635,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oused(v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16236,c_860]) ).
tcf(c_16637,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16237,c_836]) ).
tcf(c_16638,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16237,c_860]) ).
tcf(c_16640,plain,
c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),
inference(superposition,[status(thm)],[c_16340,c_836]) ).
tcf(c_16641,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16340,c_11844]) ).
tcf(c_16642,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16340,c_11820]) ).
tcf(c_16643,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16340,c_11802]) ).
tcf(c_16644,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16340,c_11775]) ).
tcf(c_16645,plain,
c_Set_Oinsert(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_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg) = c_Event_Oknows(v_Aa,v_evs3),
inference(superposition,[status(thm)],[c_16412,c_836]) ).
tcf(c_16646,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16412,c_11844]) ).
tcf(c_16647,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16412,c_11820]) ).
tcf(c_16648,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16412,c_11802]) ).
tcf(c_16649,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16412,c_11775]) ).
tcf(c_16650,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16339,c_11690]) ).
tcf(c_16651,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),
inference(superposition,[status(thm)],[c_16339,c_836]) ).
tcf(c_16652,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16411,c_11690]) ).
tcf(c_16653,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Event_Oknows(v_S,v_evs3),tc_Message_Omsg) = c_Event_Oknows(v_S,v_evs3),
inference(superposition,[status(thm)],[c_16411,c_836]) ).
tcf(c_16660,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_16641,c_836]) ).
tcf(c_16661,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_16641,c_860]) ).
tcf(c_16663,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_16643,c_836]) ).
tcf(c_16664,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_16643,c_815]) ).
tcf(c_16666,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_16646,c_836]) ).
tcf(c_16667,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_16646,c_860]) ).
tcf(c_16672,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_16648,c_836]) ).
tcf(c_16673,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_16648,c_815]) ).
tcf(c_16683,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_799,c_829]) ).
tcf(c_16684,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_786,c_829]) ).
tcf(c_16685,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11435,c_829]) ).
tcf(c_16686,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1043,c_829]) ).
tcf(c_16687,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_961,c_829]) ).
tcf(c_16688,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_821,c_829]) ).
tcf(c_16689,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_818,c_829]) ).
tcf(c_16690,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_799,c_829]) ).
tcf(c_16691,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_786,c_829]) ).
tcf(c_16692,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11435,c_829]) ).
tcf(c_16698,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_16686,c_1043]) ).
tcf(c_16736,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1066,c_833]) ).
tcf(c_16737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1072,c_833]) ).
tcf(c_16739,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X1))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_882,c_833]) ).
tcf(c_16740,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X1))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1023,c_833]) ).
tcf(c_16741,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_3975,c_833]) ).
tcf(c_16743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_833,c_11690]) ).
tcf(c_16744,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))) )
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_833,c_836]) ).
tcf(c_16745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_833,c_11844]) ).
tcf(c_16746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_833,c_11820]) ).
tcf(c_16747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_833,c_11802]) ).
tcf(c_16748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_833,c_11775]) ).
tcf(c_16749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))) )
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_833,c_815]) ).
tcf(c_16750,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_833,c_813]) ).
tcf(c_16751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_833,c_777]) ).
tcf(c_16752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_833,c_776]) ).
tcf(c_16757,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_16736,c_1043]) ).
tcf(c_16884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X0,X3,X4),X4),X4),X4),X4) = c_Set_Oinsert(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X0,X3,X4),X4),X4),X4),
inference(superposition,[status(thm)],[c_11562,c_838]) ).
tcf(c_16887,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Set_Oinsert(X1,c_Event_Oused(X2),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Event_Oused(X2),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_838]) ).
tcf(c_16888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11571,c_838]) ).
tcf(c_16890,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Set_Oinsert(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11573,c_838]) ).
tcf(c_16896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Set_Oinsert(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_838]) ).
tcf(c_16897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Set_Oinsert(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_838]) ).
tcf(c_16900,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11865,c_838]) ).
tcf(c_16901,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11866,c_838]) ).
tcf(c_16902,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_838]) ).
tcf(c_16903,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11903,c_838]) ).
tcf(c_16904,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_838]) ).
tcf(c_16905,plain,
! [X0: $i] : c_Set_Oinsert(v_X,c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11965,c_838]) ).
tcf(c_16906,plain,
! [X0: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11972,c_838]) ).
tcf(c_16907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_838]) ).
tcf(c_16909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_838]) ).
tcf(c_16911,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13196,c_838]) ).
tcf(c_16912,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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_Set_Oinsert(X0,c_Set_Oinsert(X1,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) = c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
inference(superposition,[status(thm)],[c_13519,c_838]) ).
tcf(c_16913,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_838]) ).
tcf(c_16914,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_838]) ).
tcf(c_16961,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_838,c_1029]) ).
tcf(c_16962,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_838,c_864]) ).
tcf(c_16963,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_12879]) ).
tcf(c_16964,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_12878]) ).
tcf(c_16965,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_12875]) ).
tcf(c_16966,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_838,c_824]) ).
tcf(c_16967,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X2,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_838,c_767]) ).
tcf(c_16969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X4,X2,X3),X3),X3)
| ~ c_in(X0,c_Set_Oinsert(X1,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_838,c_845]) ).
tcf(c_16970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X1,X4,X3)
| ~ c_lessequals(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3),X4,tc_fun(X3,tc_bool)) ),
inference(superposition,[status(thm)],[c_838,c_853]) ).
tcf(c_16972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(superposition,[status(thm)],[c_838,c_1051]) ).
tcf(c_16974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X2),X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_13020]) ).
tcf(c_16975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X2),X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_13018]) ).
tcf(c_16978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X3,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_838,c_862]) ).
tcf(c_16979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X3,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_838,c_814]) ).
tcf(c_16980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,X2),X2),tc_fun(X2,tc_bool)),
inference(superposition,[status(thm)],[c_838,c_850]) ).
tcf(c_16981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),X4) = c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X0,X3,X4),X4),X4),
inference(superposition,[status(thm)],[c_838,c_838]) ).
tcf(c_16982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X0,X3,X4),X4),X4),X4),
inference(superposition,[status(thm)],[c_838,c_12877]) ).
tcf(c_16983,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_838,c_15979]) ).
tcf(c_16984,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_838,c_14011]) ).
tcf(c_16985,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_838,c_789]) ).
tcf(c_16986,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_838,c_786]) ).
tcf(c_16987,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_838,c_802]) ).
tcf(c_16988,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_838,c_799]) ).
tcf(c_16989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3),X3),
inference(superposition,[status(thm)],[c_838,c_12877]) ).
tcf(c_16990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_13016]) ).
tcf(c_16992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OCrypt(X3,X0)),X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_11737]) ).
tcf(c_16993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,X0)),X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_11823]) ).
tcf(c_16994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X0,X3)),X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_11847]) ).
tcf(c_16995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_13021]) ).
tcf(c_16996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_13019]) ).
tcf(c_16999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(X3,X0)),X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_12076]) ).
tcf(c_17000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0)),X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_12075]) ).
tcf(c_17001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,X0)),X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_11959]) ).
tcf(c_17002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3)),X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_12074]) ).
tcf(c_17003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,X3)),X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_11958]) ).
tcf(c_17004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X0,X2),X3),X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_12127]) ).
tcf(c_17005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X2,X0),X3),X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_12128]) ).
tcf(c_17006,plain,
! [X0: $i] : c_Set_Oinsert(X0,c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) = c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(superposition,[status(thm)],[c_838,c_13519]) ).
tcf(c_17193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Set_Oinsert(X0,X2,X3),X3)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_12877,c_843]) ).
tcf(c_17194,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),X1,tc_Event_Oevent)
| ( c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))) = X0 )
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_Set_Oinsert(X0,X1,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12890,c_843]) ).
tcf(c_17195,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_Aa,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)))),X1,tc_Event_Oevent)
| ( c_Event_Oevent_OSays(v_Aa,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)))) = X0 )
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_Set_Oinsert(X0,X1,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12891,c_843]) ).
tcf(c_17196,plain,
! [X0: $i,X1: $i] :
( c_in(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)))),X1,tc_Message_Omsg)
| ( 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)))) = X0 )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(X0,X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_843]) ).
tcf(c_17197,plain,
! [X0: $i,X1: $i] :
( c_in(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))),X1,tc_Message_Omsg)
| ( 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))) = X0 )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(X0,X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_843]) ).
tcf(c_17200,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X2),tc_Message_Omsg)
| ( c_Message_Omsg_OAgent(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_13437,c_843]) ).
tcf(c_17208,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(X2)),tc_Message_Omsg)
| ( c_Message_Omsg_OAgent(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_13769,c_843]) ).
tcf(c_17209,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg)
| ( c_Message_Omsg_OAgent(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_15766,c_843]) ).
tcf(c_17211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Set_Oinsert(X1,X3,X4),X4)
| ( X0 = X2 )
| ~ c_in(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),X4) ),
inference(superposition,[status(thm)],[c_838,c_843]) ).
tcf(c_17242,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ( c_Message_Omsg_OAgent(X1) = X0 )
| ~ c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_14011,c_843]) ).
tcf(c_17243,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ( c_Message_Omsg_OAgent(X1) = X0 )
| ~ c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15979,c_843]) ).
tcf(c_17290,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16238,c_836]) ).
tcf(c_17291,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oused(v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16238,c_815]) ).
tcf(c_17294,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16239,c_836]) ).
tcf(c_17295,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16239,c_815]) ).
tcf(c_17300,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_16642,c_836]) ).
tcf(c_17301,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16642,c_11844]) ).
tcf(c_17302,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16642,c_11820]) ).
tcf(c_17303,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16642,c_11802]) ).
tcf(c_17304,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16642,c_11775]) ).
tcf(c_17305,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_16642,c_860]) ).
tcf(c_17307,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16642,c_779]) ).
tcf(c_17308,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16642,c_778]) ).
tcf(c_17309,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_16644,c_836]) ).
tcf(c_17310,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16644,c_11844]) ).
tcf(c_17311,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16644,c_11820]) ).
tcf(c_17312,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16644,c_11802]) ).
tcf(c_17313,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16644,c_11775]) ).
tcf(c_17314,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_16644,c_815]) ).
tcf(c_17316,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16644,c_777]) ).
tcf(c_17317,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16644,c_776]) ).
tcf(c_17350,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_16647,c_836]) ).
tcf(c_17351,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16647,c_11844]) ).
tcf(c_17352,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16647,c_11820]) ).
tcf(c_17353,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16647,c_11802]) ).
tcf(c_17354,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16647,c_11775]) ).
tcf(c_17355,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_16647,c_860]) ).
tcf(c_17356,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16647,c_779]) ).
tcf(c_17357,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16647,c_778]) ).
tcf(c_17398,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_16649,c_836]) ).
tcf(c_17399,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16649,c_11844]) ).
tcf(c_17400,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16649,c_11820]) ).
tcf(c_17401,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16649,c_11802]) ).
tcf(c_17402,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16649,c_11775]) ).
tcf(c_17403,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_16649,c_815]) ).
tcf(c_17405,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16649,c_777]) ).
tcf(c_17406,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16649,c_776]) ).
tcf(c_17407,plain,
c_lessequals(c_Set_Oinsert(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_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16206,c_1029]) ).
tcf(c_17408,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16206,c_864]) ).
tcf(c_17409,plain,
c_in(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_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_12879]) ).
tcf(c_17410,plain,
c_in(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_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_12878]) ).
tcf(c_17411,plain,
c_in(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_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_12875]) ).
tcf(c_17412,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16206,c_824]) ).
tcf(c_17416,plain,
! [X0: $i] :
( c_in(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))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oused(v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16206,c_853]) ).
tcf(c_17417,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Event_Oused(v_evs3),
inference(superposition,[status(thm)],[c_16206,c_1051]) ).
tcf(c_17419,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_13020]) ).
tcf(c_17420,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_13018]) ).
tcf(c_17425,plain,
c_lessequals(c_Event_Oused(v_evs3),c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16206,c_850]) ).
tcf(c_17426,plain,
! [X0: $i] : c_Set_Oinsert(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_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_838]) ).
tcf(c_17427,plain,
! [X0: $i] : c_in(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_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_12877]) ).
tcf(c_17428,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_13021]) ).
tcf(c_17429,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_13019]) ).
tcf(c_17441,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16215,c_836]) ).
tcf(c_17443,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)),c_Message_Oparts(c_Message_Oparts(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16215,c_11820]) ).
tcf(c_17445,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)),c_Message_Oanalz(c_Message_Oparts(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16215,c_11775]) ).
tcf(c_17446,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Event_Oused(v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_16215,c_860]) ).
tcf(c_17448,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16215,c_778]) ).
tcf(c_17504,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_16650,c_836]) ).
tcf(c_17506,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16650,c_11820]) ).
tcf(c_17508,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16650,c_11775]) ).
tcf(c_17509,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_16650,c_860]) ).
tcf(c_17510,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16650,c_1032]) ).
tcf(c_17512,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16650,c_778]) ).
tcf(c_17513,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),
inference(superposition,[status(thm)],[c_16652,c_836]) ).
tcf(c_17514,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(v_S,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16652,c_11844]) ).
tcf(c_17515,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(v_S,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16652,c_11820]) ).
tcf(c_17516,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(v_S,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16652,c_11802]) ).
tcf(c_17517,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(v_S,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16652,c_11775]) ).
tcf(c_17518,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Event_Oknows(v_S,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),
inference(superposition,[status(thm)],[c_16652,c_860]) ).
tcf(c_17519,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16652,c_779]) ).
tcf(c_17520,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)),c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16652,c_778]) ).
tcf(c_17521,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_List_Oset(c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_List_Oset(c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_944,c_12409]) ).
tcf(c_17522,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12409,c_1029]) ).
tcf(c_17523,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12409,c_864]) ).
tcf(c_17524,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_12879]) ).
tcf(c_17525,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_12878]) ).
tcf(c_17526,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_12875]) ).
tcf(c_17527,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12409,c_824]) ).
tcf(c_17531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_Message_Omsg_ONonce(X1),X3,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12409,c_853]) ).
tcf(c_17532,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12409,c_1051]) ).
tcf(c_17533,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_841]) ).
tcf(c_17536,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12409,c_850]) ).
tcf(c_17537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(X1,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_838]) ).
tcf(c_17538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(X1,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_12877]) ).
tcf(c_17539,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12409,c_824]) ).
tcf(c_17540,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_12409,c_802]) ).
tcf(c_17541,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_12409,c_799]) ).
tcf(c_17574,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1029,c_846]) ).
tcf(c_17575,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_846]) ).
tcf(c_17576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X0,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(superposition,[status(thm)],[c_998,c_846]) ).
tcf(c_17577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X0,X2),X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(superposition,[status(thm)],[c_997,c_846]) ).
tcf(c_17578,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1020,c_846]) ).
tcf(c_17580,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_846]) ).
tcf(c_17581,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_846]) ).
tcf(c_17582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,X3),X3),tc_fun(X3,tc_bool)),
inference(superposition,[status(thm)],[c_850,c_846]) ).
tcf(c_17583,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_874,c_846]) ).
tcf(c_17584,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_827,c_846]) ).
tcf(c_17585,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_864,c_846]) ).
tcf(c_17586,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_824,c_846]) ).
tcf(c_17587,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15471,c_846]) ).
tcf(c_17588,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15481,c_846]) ).
tcf(c_17590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(c_Set_Oinsert(X0,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3),X4,tc_fun(X3,tc_bool)) ),
inference(superposition,[status(thm)],[c_838,c_846]) ).
tcf(c_17622,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_14011,c_846]) ).
tcf(c_17623,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15979,c_846]) ).
tcf(c_17709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X4,X2,X3),X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(superposition,[status(thm)],[c_838,c_847]) ).
tcf(c_17741,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_14011,c_847]) ).
tcf(c_17742,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15979,c_847]) ).
tcf(c_17744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(X1,c_Set_Oinsert(X4,X3,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_846]) ).
tcf(c_17745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Set_Oinsert(X4,X3,X2),X2)
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_853]) ).
tcf(c_17746,plain,
! [X0: $i,X1: $i] :
( c_in(v_evs3,c_Set_Oinsert(X1,X0,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_12889]) ).
tcf(c_17747,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Oagent_OSpy,c_Set_Oinsert(X1,X0,tc_Message_Oagent),tc_Message_Oagent)
| ~ c_lessequals(c_Event_Obad,X0,tc_fun(tc_Message_Oagent,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_12887]) ).
tcf(c_17748,plain,
! [X0: $i,X1: $i] :
( ( c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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_Set_Oinsert(X1,X0,tc_Event_Oevent),tc_Event_Oevent) = c_Set_Oinsert(X1,X0,tc_Event_Oevent) )
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),X0,tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_13203]) ).
tcf(c_17749,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_14173]) ).
tcf(c_17750,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_14146]) ).
tcf(c_17751,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_14128]) ).
tcf(c_17752,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Set_Oinsert(X1,X0,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_12896]) ).
tcf(c_17753,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(X1,X0,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_12893]) ).
tcf(c_17810,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_870]) ).
tcf(c_17811,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Oparts(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_874,c_870]) ).
tcf(c_17812,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11926,c_870]) ).
tcf(c_17813,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11945,c_870]) ).
tcf(c_17814,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11946,c_870]) ).
tcf(c_17815,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15468,c_870]) ).
tcf(c_17818,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_767,c_870]) ).
tcf(c_17819,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_820,c_870]) ).
tcf(c_17820,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_802,c_870]) ).
tcf(c_17822,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_789,c_870]) ).
tcf(c_17823,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15461,c_870]) ).
tcf(c_17824,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15532,c_870]) ).
tcf(c_17825,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15604,c_870]) ).
tcf(c_17826,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15675,c_870]) ).
tcf(c_17827,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15863,c_870]) ).
tcf(c_17828,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_872,c_870]) ).
tcf(c_17829,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_968,c_870]) ).
tcf(c_17830,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_767,c_870]) ).
tcf(c_17831,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_820,c_870]) ).
tcf(c_17832,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_802,c_870]) ).
tcf(c_17833,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_859,c_870]) ).
tcf(c_17834,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_789,c_870]) ).
tcf(c_17835,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15461,c_870]) ).
tcf(c_17836,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15532,c_870]) ).
tcf(c_17837,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15604,c_870]) ).
tcf(c_17838,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15675,c_870]) ).
tcf(c_17839,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15863,c_870]) ).
tcf(c_17849,plain,
! [X0: $i] :
( c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_17828,c_872]) ).
tcf(c_17866,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_17837,c_15604]) ).
tcf(c_17932,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_767,c_871]) ).
tcf(c_17933,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_820,c_871]) ).
tcf(c_17934,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_802,c_871]) ).
tcf(c_17936,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_789,c_871]) ).
tcf(c_17937,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15461,c_871]) ).
tcf(c_17938,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15532,c_871]) ).
tcf(c_17939,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15604,c_871]) ).
tcf(c_17940,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15675,c_871]) ).
tcf(c_17941,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15863,c_871]) ).
tcf(c_17942,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_872,c_871]) ).
tcf(c_17943,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_968,c_871]) ).
tcf(c_17944,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_767,c_871]) ).
tcf(c_17945,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_820,c_871]) ).
tcf(c_17946,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_802,c_871]) ).
tcf(c_17947,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_859,c_871]) ).
tcf(c_17948,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_789,c_871]) ).
tcf(c_17949,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15461,c_871]) ).
tcf(c_17950,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15532,c_871]) ).
tcf(c_17951,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15604,c_871]) ).
tcf(c_17952,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15675,c_871]) ).
tcf(c_17953,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15863,c_871]) ).
tcf(c_17955,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_871,c_14173]) ).
tcf(c_17956,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_871,c_14146]) ).
tcf(c_17957,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_871,c_14128]) ).
tcf(c_17958,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_871,c_12896]) ).
tcf(c_17959,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_871,c_12893]) ).
tcf(c_17966,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_17942,c_872]) ).
tcf(c_17991,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_17951,c_15604]) ).
tcf(c_18083,plain,
c_lessequals(c_Set_Oinsert(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_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16640,c_1029]) ).
tcf(c_18084,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16640,c_864]) ).
tcf(c_18085,plain,
c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_12879]) ).
tcf(c_18086,plain,
c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_12878]) ).
tcf(c_18087,plain,
c_in(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_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_12875]) ).
tcf(c_18088,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16640,c_824]) ).
tcf(c_18094,plain,
! [X0: $i] :
( c_in(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))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16640,c_853]) ).
tcf(c_18095,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),
inference(superposition,[status(thm)],[c_16640,c_1051]) ).
tcf(c_18097,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_13020]) ).
tcf(c_18098,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_13018]) ).
tcf(c_18103,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16640,c_850]) ).
tcf(c_18104,plain,
! [X0: $i] : c_Set_Oinsert(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_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_838]) ).
tcf(c_18105,plain,
! [X0: $i] : c_in(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_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_12877]) ).
tcf(c_18106,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oanalz(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_13021]) ).
tcf(c_18107,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oparts(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_13019]) ).
tcf(c_18120,plain,
c_lessequals(c_Set_Oinsert(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_Message_Osynth(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oknows(v_Aa,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16645,c_1029]) ).
tcf(c_18121,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16645,c_864]) ).
tcf(c_18122,plain,
c_in(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_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_12879]) ).
tcf(c_18123,plain,
c_in(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_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_12878]) ).
tcf(c_18124,plain,
c_in(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_Message_Osynth(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_12875]) ).
tcf(c_18125,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16645,c_824]) ).
tcf(c_18131,plain,
! [X0: $i] :
( c_in(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))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oknows(v_Aa,v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16645,c_853]) ).
tcf(c_18132,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Event_Oknows(v_Aa,v_evs3),
inference(superposition,[status(thm)],[c_16645,c_1051]) ).
tcf(c_18134,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Message_Osynth(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_13020]) ).
tcf(c_18135,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Message_Osynth(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_13018]) ).
tcf(c_18140,plain,
c_lessequals(c_Event_Oknows(v_Aa,v_evs3),c_Event_Oknows(v_Aa,v_evs3),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16645,c_850]) ).
tcf(c_18141,plain,
! [X0: $i] : c_Set_Oinsert(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_Set_Oinsert(X0,c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_838]) ).
tcf(c_18142,plain,
! [X0: $i] : c_in(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_Set_Oinsert(X0,c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_12877]) ).
tcf(c_18143,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oanalz(c_Message_Osynth(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_13021]) ).
tcf(c_18144,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)),c_Message_Oparts(c_Message_Osynth(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_13019]) ).
tcf(c_18241,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16216,c_1029]) ).
tcf(c_18242,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16216,c_864]) ).
tcf(c_18243,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_12879]) ).
tcf(c_18244,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_12878]) ).
tcf(c_18245,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_12875]) ).
tcf(c_18246,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16216,c_824]) ).
tcf(c_18252,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oused(v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16216,c_853]) ).
tcf(c_18258,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_838]) ).
tcf(c_18259,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_12877]) ).
tcf(c_18260,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_13016]) ).
tcf(c_18320,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16651,c_1029]) ).
tcf(c_18321,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16651,c_864]) ).
tcf(c_18322,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_12879]) ).
tcf(c_18323,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_12878]) ).
tcf(c_18324,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_12875]) ).
tcf(c_18325,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16651,c_824]) ).
tcf(c_18331,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16651,c_853]) ).
tcf(c_18337,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_838]) ).
tcf(c_18338,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_12877]) ).
tcf(c_18339,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Message_Oparts(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_13016]) ).
tcf(c_18348,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Osynth(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oknows(v_S,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16653,c_1029]) ).
tcf(c_18349,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16653,c_864]) ).
tcf(c_18350,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_12879]) ).
tcf(c_18351,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_12878]) ).
tcf(c_18352,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Osynth(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_12875]) ).
tcf(c_18353,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oknows(v_S,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16653,c_824]) ).
tcf(c_18359,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oknows(v_S,v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16653,c_853]) ).
tcf(c_18360,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Event_Oknows(v_S,v_evs3),
inference(superposition,[status(thm)],[c_16653,c_1051]) ).
tcf(c_18364,plain,
c_lessequals(c_Event_Oknows(v_S,v_evs3),c_Event_Oknows(v_S,v_evs3),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16653,c_850]) ).
tcf(c_18365,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Set_Oinsert(X0,c_Event_Oknows(v_S,v_evs3),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Event_Oknows(v_S,v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_838]) ).
tcf(c_18366,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Set_Oinsert(X0,c_Event_Oknows(v_S,v_evs3),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_12877]) ).
tcf(c_18367,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))),c_Message_Oparts(c_Message_Osynth(c_Event_Oknows(v_S,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_13016]) ).
tcf(c_18398,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_17307,c_836]) ).
tcf(c_18399,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_17307,c_860]) ).
tcf(c_18401,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
inference(demodulation,[status(thm)],[c_12414,c_848]) ).
tcf(c_18402,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_1043,c_18401]) ).
tcf(c_18403,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_961,c_18401]) ).
tcf(c_18404,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_821,c_18401]) ).
tcf(c_18405,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_818,c_18401]) ).
tcf(c_18406,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_799,c_18401]) ).
tcf(c_18407,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_786,c_18401]) ).
tcf(c_18408,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X1)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11435,c_18401]) ).
tcf(c_18409,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_842,c_18401]) ).
tcf(c_18410,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_838,c_18401]) ).
tcf(c_18412,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11562,c_18401]) ).
tcf(c_18413,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_11865,c_18401]) ).
tcf(c_18414,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_11866,c_18401]) ).
tcf(c_18415,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_12409,c_18401]) ).
tcf(c_18417,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_18401,c_1029]) ).
tcf(c_18418,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_18401,c_864]) ).
tcf(c_18419,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_12879]) ).
tcf(c_18420,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_12878]) ).
tcf(c_18421,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_12875]) ).
tcf(c_18422,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_18401,c_824]) ).
tcf(c_18423,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ( c_Message_Omsg_ONonce(X1) = X0 )
| ~ c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_18401,c_843]) ).
tcf(c_18425,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_18401,c_847]) ).
tcf(c_18426,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_18401,c_845]) ).
tcf(c_18427,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_18401,c_846]) ).
tcf(c_18428,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_18401,c_853]) ).
tcf(c_18429,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_18401,c_842]) ).
tcf(c_18430,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_18401,c_1051]) ).
tcf(c_18431,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_841]) ).
tcf(c_18432,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_18401,c_862]) ).
tcf(c_18433,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_18401,c_814]) ).
tcf(c_18434,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_18401,c_850]) ).
tcf(c_18435,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_838]) ).
tcf(c_18436,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(X1,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_12877]) ).
tcf(c_18437,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))))),
inference(superposition,[status(thm)],[c_18401,c_18401]) ).
tcf(c_18438,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_18401,c_802]) ).
tcf(c_18439,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_18401,c_799]) ).
tcf(c_18448,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
inference(light_normalisation,[status(thm)],[c_18409,c_799]) ).
tcf(c_18548,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_12323]) ).
tcf(c_18549,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_12133]) ).
tcf(c_18550,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_1040]) ).
tcf(c_18551,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[status(thm)],[c_888,c_691]) ).
tcf(c_18552,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X1),X2,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_888,c_1032]) ).
tcf(c_18553,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Set_Oinsert(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_888,c_13131]) ).
tcf(c_18554,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_888,c_13079]) ).
tcf(c_18555,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Osynth(c_Set_Oinsert(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_888,c_13002]) ).
tcf(c_18556,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_12005]) ).
tcf(c_18558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg),c_Event_Oknows(X1,c_List_Olist_OCons(X3,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X0),X2,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_704]) ).
tcf(c_18560,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Event_Oknows(X0,X1),c_Set_Oinsert(X2,c_Event_Oknows(X0,X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_704]) ).
tcf(c_18561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_888,c_11656]) ).
tcf(c_18562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_888,c_11630]) ).
tcf(c_18564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_888,c_11631]) ).
tcf(c_18565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_888,c_912]) ).
tcf(c_18617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_List_Olist_ONil(X3) = X2 )
| ( c_List_Olist_OCons(X0,c_List_Oappend(X1,X2,X3),X3) != c_List_Olist_ONil(X3) ) ),
inference(superposition,[status(thm)],[c_935,c_948]) ).
tcf(c_18618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_List_Olist_OCons(X0,X1,X3) = c_List_Olist_ONil(X3) )
| ( c_List_Olist_OCons(X0,c_List_Oappend(X1,X2,X3),X3) != c_List_Olist_ONil(X3) ) ),
inference(superposition,[status(thm)],[c_935,c_947]) ).
tcf(c_18619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_List_Olist_OCons(X0,X1,X3) = c_List_Olist_ONil(X3) )
| ( c_List_Olist_OCons(X0,c_List_Oappend(X1,X2,X3),X3) != X2 ) ),
inference(superposition,[status(thm)],[c_935,c_952]) ).
tcf(c_18620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_List_Olist_ONil(X3) = X2 )
| ( c_List_Olist_OCons(X0,c_List_Oappend(X1,X2,X3),X3) != c_List_Olist_OCons(X0,X1,X3) ) ),
inference(superposition,[status(thm)],[c_935,c_950]) ).
tcf(c_18621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X4 )
| ( c_List_Olist_OCons(X0,c_List_Oappend(X1,X2,X3),X3) != c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),X4,X3) ) ),
inference(superposition,[status(thm)],[c_935,c_955]) ).
tcf(c_18622,plain,
! [X0: $i,X1: $i,X2: $i] : c_List_Olist_OCons(X0,c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X0,X1,X2),
inference(superposition,[status(thm)],[c_935,c_942]) ).
tcf(c_18623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_List_Olist_OCons(X0,X1,X3) = X4 )
| ( c_List_Olist_OCons(X0,c_List_Oappend(X1,X2,X3),X3) != c_List_Oappend(X4,X2,X3) ) ),
inference(superposition,[status(thm)],[c_935,c_954]) ).
tcf(c_18624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Set_Oinsert(X0,c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(X0,X3,X4),X4),X4),X4),X4) = c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(X0,X3,X4),X4),X4),X4),
inference(superposition,[status(thm)],[c_935,c_11562]) ).
tcf(c_18625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(X0,X3,X4),X4),X4),X4),X4),
inference(superposition,[status(thm)],[c_935,c_733]) ).
tcf(c_18626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_List_Oset(c_List_Olist_OCons(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),
inference(superposition,[status(thm)],[c_935,c_11665]) ).
tcf(c_18627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_935,c_12369]) ).
tcf(c_18628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_935,c_12328]) ).
tcf(c_18629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_935,c_12409]) ).
tcf(c_18632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_List_Olist_OCons(X0,c_List_Oappend(X1,X2,X3),X3) != X2,
inference(forward_subsumption_resolution,[status(thm)],[c_18619,c_930]) ).
tcf(c_18649,plain,
! [X0: $i,X1: $i,X2: $i] : c_List_Oappend(c_List_Olist_ONil(X0),c_List_Oappend(X1,X2,X0),X0) = c_List_Oappend(X1,X2,X0),
inference(superposition,[status(thm)],[c_944,c_959]) ).
tcf(c_18650,plain,
! [X0: $i,X1: $i,X2: $i] : c_List_Oappend(X0,c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Oappend(X0,X2,X1),
inference(superposition,[status(thm)],[c_942,c_959]) ).
tcf(c_18651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_List_Oappend(c_List_Olist_OCons(X0,c_List_Oappend(X1,X2,X3),X3),X4,X3) = c_List_Oappend(c_List_Olist_OCons(X0,X1,X3),c_List_Oappend(X2,X4,X3),X3),
inference(superposition,[status(thm)],[c_935,c_959]) ).
tcf(c_18652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_List_Oappend(c_List_Oappend(X0,c_List_Oappend(X1,X2,X3),X3),X4,X3) = c_List_Oappend(c_List_Oappend(X0,X1,X3),c_List_Oappend(X2,X4,X3),X3),
inference(superposition,[status(thm)],[c_959,c_959]) ).
tcf(c_18655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_List_Olist_ONil(X3) = X2 )
| ( c_List_Oappend(X0,c_List_Oappend(X1,X2,X3),X3) != c_List_Olist_ONil(X3) ) ),
inference(superposition,[status(thm)],[c_959,c_948]) ).
tcf(c_18656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_List_Oappend(X0,X1,X3) = c_List_Olist_ONil(X3) )
| ( c_List_Oappend(X0,c_List_Oappend(X1,X2,X3),X3) != c_List_Olist_ONil(X3) ) ),
inference(superposition,[status(thm)],[c_959,c_947]) ).
tcf(c_18657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_List_Oappend(X0,X1,X3) = c_List_Olist_ONil(X3) )
| ( c_List_Oappend(X0,c_List_Oappend(X1,X2,X3),X3) != X2 ) ),
inference(superposition,[status(thm)],[c_959,c_952]) ).
tcf(c_18658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_List_Olist_ONil(X3) = X2 )
| ( c_List_Oappend(X0,c_List_Oappend(X1,X2,X3),X3) != c_List_Oappend(X0,X1,X3) ) ),
inference(superposition,[status(thm)],[c_959,c_950]) ).
tcf(c_18659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( c_List_Oappend(c_List_Oappend(X0,X1,X2),X3,X2) != c_List_Oappend(X0,c_List_Oappend(X1,X4,X2),X2) ) ),
inference(superposition,[status(thm)],[c_959,c_955]) ).
tcf(c_18660,plain,
! [X0: $i,X1: $i,X2: $i] : c_List_Oappend(X0,c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Oappend(X0,X1,X2),
inference(superposition,[status(thm)],[c_959,c_942]) ).
tcf(c_18661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_List_Oappend(X0,X1,X3) = X4 )
| ( c_List_Oappend(X0,c_List_Oappend(X1,X2,X3),X3) != c_List_Oappend(X4,X2,X3) ) ),
inference(superposition,[status(thm)],[c_959,c_954]) ).
tcf(c_18662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Set_Oinsert(X0,c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(X0,X3,X4),X4),X4),X4),X4) = c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(X0,X3,X4),X4),X4),X4),
inference(superposition,[status(thm)],[c_959,c_11562]) ).
tcf(c_18663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(X0,X3,X4),X4),X4),X4),X4),
inference(superposition,[status(thm)],[c_959,c_733]) ).
tcf(c_18664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_List_Oset(c_List_Oappend(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),
inference(superposition,[status(thm)],[c_959,c_11665]) ).
tcf(c_18665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_959,c_12369]) ).
tcf(c_18666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_959,c_12328]) ).
tcf(c_18667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_959,c_12409]) ).
tcf(c_18678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X4 )
| ( c_List_Oappend(X0,c_List_Oappend(X1,X2,X3),X3) != c_List_Oappend(X0,c_List_Oappend(X1,X4,X3),X3) ) ),
inference(light_normalisation,[status(thm)],[c_18659,c_959]) ).
tcf(c_18768,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1029,c_995]) ).
tcf(c_18770,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1042,c_995]) ).
tcf(c_18771,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,X0,tc_Message_Omsg)
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_995]) ).
tcf(c_18774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Oknows(X1,c_List_Olist_OCons(X3,X2,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_704,c_995]) ).
tcf(c_18779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X3,c_Set_Oinsert(X4,X1,X2),X2)
| ~ c_in(X3,X0,X2)
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_995]) ).
tcf(c_18780,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X2,X0,tc_Message_Omsg)
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_995]) ).
tcf(c_18781,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X2,X0,tc_Message_Omsg)
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_995]) ).
tcf(c_18787,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_864,c_995]) ).
tcf(c_18788,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_824,c_995]) ).
tcf(c_18790,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_11945,c_995]) ).
tcf(c_18792,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15468,c_995]) ).
tcf(c_18793,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15470,c_995]) ).
tcf(c_18795,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15481,c_995]) ).
tcf(c_18837,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_16523,c_995]) ).
tcf(c_18839,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16523,c_846]) ).
tcf(c_18840,plain,
! [X0: $i,X1: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16523,c_853]) ).
tcf(c_18860,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_17308,c_836]) ).
tcf(c_18861,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_17308,c_860]) ).
tcf(c_18863,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_17316,c_836]) ).
tcf(c_18864,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_17316,c_815]) ).
tcf(c_18866,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_17317,c_836]) ).
tcf(c_18867,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(superposition,[status(thm)],[c_17317,c_815]) ).
tcf(c_18869,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_17356,c_836]) ).
tcf(c_18870,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_17356,c_860]) ).
tcf(c_18871,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_17357,c_836]) ).
tcf(c_18872,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_17357,c_860]) ).
tcf(c_18873,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_17405,c_836]) ).
tcf(c_18874,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_17405,c_815]) ).
tcf(c_18876,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg) = c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_17406,c_836]) ).
tcf(c_18877,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),
inference(superposition,[status(thm)],[c_17406,c_815]) ).
tcf(c_18879,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),
inference(superposition,[status(thm)],[c_17519,c_836]) ).
tcf(c_18880,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Event_Oknows(v_S,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),
inference(superposition,[status(thm)],[c_17519,c_860]) ).
tcf(c_18890,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool))
| ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != X1 ) ),
inference(superposition,[status(thm)],[c_1066,c_1001]) ).
tcf(c_18891,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,X0,tc_fun(X2,tc_bool))
| ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != X0 ) ),
inference(superposition,[status(thm)],[c_1072,c_1001]) ).
tcf(c_18893,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ( c_Message_Oparts(c_Message_Osynth(X0)) != c_Message_Osynth(X0) ) ),
inference(superposition,[status(thm)],[c_882,c_1001]) ).
tcf(c_18894,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ( c_Message_Oanalz(c_Message_Osynth(X0)) != c_Message_Osynth(X0) ) ),
inference(superposition,[status(thm)],[c_1023,c_1001]) ).
tcf(c_18895,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))) != c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) ) ),
inference(superposition,[status(thm)],[c_3975,c_1001]) ).
tcf(c_18915,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_1029,c_1002]) ).
tcf(c_18917,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(X0),
inference(superposition,[status(thm)],[c_1042,c_1002]) ).
tcf(c_18918,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(X1) )
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_1002]) ).
tcf(c_18919,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),
inference(superposition,[status(thm)],[c_998,c_1002]) ).
tcf(c_18920,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X0,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),
inference(superposition,[status(thm)],[c_997,c_1002]) ).
tcf(c_18921,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(X0,c_List_Olist_OCons(X1,X2,tc_Event_Oevent)),c_Event_Oknows(X0,X2),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(X0,c_List_Olist_OCons(X1,X2,tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_704,c_1002]) ).
tcf(c_18922,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(X0),
inference(superposition,[status(thm)],[c_1020,c_1002]) ).
tcf(c_18924,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(X1) )
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_829,c_1002]) ).
tcf(c_18925,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(X0),
inference(superposition,[status(thm)],[c_1040,c_1002]) ).
tcf(c_18926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X3,X1,X2),X0,tc_fun(X2,tc_bool)) = c_Set_Oinsert(X3,X1,X2) )
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_1002]) ).
tcf(c_18927,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X1) )
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_1002]) ).
tcf(c_18928,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(X1) )
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_1002]) ).
tcf(c_18929,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X0),
inference(superposition,[status(thm)],[c_831,c_1002]) ).
tcf(c_18930,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X1,tc_fun(X2,tc_bool)) = c_Set_Oinsert(X0,X1,X2),
inference(superposition,[status(thm)],[c_850,c_1002]) ).
tcf(c_18931,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X0),
inference(superposition,[status(thm)],[c_874,c_1002]) ).
tcf(c_18932,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X1) )
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_871,c_1002]) ).
tcf(c_18933,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(X0),
inference(superposition,[status(thm)],[c_827,c_1002]) ).
tcf(c_18934,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_864,c_1002]) ).
tcf(c_18935,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_824,c_1002]) ).
tcf(c_18936,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(X0)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_11926,c_1002]) ).
tcf(c_18937,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),
inference(superposition,[status(thm)],[c_11945,c_1002]) ).
tcf(c_18938,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_12143,c_1002]) ).
tcf(c_18939,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15468,c_1002]) ).
tcf(c_18940,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_15470,c_1002]) ).
tcf(c_18941,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_15471,c_1002]) ).
tcf(c_18942,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_15481,c_1002]) ).
tcf(c_18943,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_16523,c_1002]) ).
tcf(c_19051,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_1029,c_1003]) ).
tcf(c_19053,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(X0),
inference(superposition,[status(thm)],[c_1042,c_1003]) ).
tcf(c_19054,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(X1) )
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_1003]) ).
tcf(c_19055,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
inference(superposition,[status(thm)],[c_998,c_1003]) ).
tcf(c_19057,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(X0,X1),c_Event_Oknows(X0,c_List_Olist_OCons(X2,X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(X0,c_List_Olist_OCons(X2,X1,tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_704,c_1003]) ).
tcf(c_19058,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(X0),
inference(superposition,[status(thm)],[c_1020,c_1003]) ).
tcf(c_19060,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(X1) )
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_829,c_1003]) ).
tcf(c_19061,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(X0),
inference(superposition,[status(thm)],[c_1040,c_1003]) ).
tcf(c_19062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X3,X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X3,X1,X2) )
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_1003]) ).
tcf(c_19063,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X1) )
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_1003]) ).
tcf(c_19064,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(X1) )
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_1003]) ).
tcf(c_19065,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X0),
inference(superposition,[status(thm)],[c_831,c_1003]) ).
tcf(c_19066,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,X0,X2),
inference(superposition,[status(thm)],[c_850,c_1003]) ).
tcf(c_19067,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X0),
inference(superposition,[status(thm)],[c_874,c_1003]) ).
tcf(c_19068,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X1) )
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_871,c_1003]) ).
tcf(c_19069,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(X0),
inference(superposition,[status(thm)],[c_827,c_1003]) ).
tcf(c_19070,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_864,c_1003]) ).
tcf(c_19071,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_824,c_1003]) ).
tcf(c_19072,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_11926,c_1003]) ).
tcf(c_19073,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),
inference(superposition,[status(thm)],[c_11945,c_1003]) ).
tcf(c_19074,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_12143,c_1003]) ).
tcf(c_19075,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15468,c_1003]) ).
tcf(c_19076,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_15470,c_1003]) ).
tcf(c_19077,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_15471,c_1003]) ).
tcf(c_19078,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_15481,c_1003]) ).
tcf(c_19079,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_16523,c_1003]) ).
tcf(c_19086,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X1) )
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_19068,c_875]) ).
tcf(c_19155,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_1025]) ).
tcf(c_19156,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1020,c_1025]) ).
tcf(c_19159,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1024,c_1025]) ).
tcf(c_19167,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_17812,c_1003]) ).
tcf(c_19168,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(X0)),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(X0)),
inference(superposition,[status(thm)],[c_17812,c_1002]) ).
tcf(c_19169,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_17812,c_995]) ).
tcf(c_19170,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17812,c_846]) ).
tcf(c_19171,plain,
! [X0: $i,X1: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17812,c_853]) ).
tcf(c_19189,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_16524]) ).
tcf(c_19190,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_16524]) ).
tcf(c_19191,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),
inference(superposition,[status(thm)],[c_16524,c_1003]) ).
tcf(c_19192,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),
inference(superposition,[status(thm)],[c_16524,c_1002]) ).
tcf(c_19193,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_16524,c_995]) ).
tcf(c_19194,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(X0)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16524,c_828]) ).
tcf(c_19195,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16524,c_846]) ).
tcf(c_19196,plain,
! [X0: $i,X1: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16524,c_853]) ).
tcf(c_19197,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16524,c_14173]) ).
tcf(c_19198,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16524,c_14146]) ).
tcf(c_19199,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16524,c_14128]) ).
tcf(c_19200,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16524,c_12896]) ).
tcf(c_19201,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16524,c_12893]) ).
tcf(c_19276,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1024,c_1026]) ).
tcf(c_19277,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(X1) )
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1026,c_1003]) ).
tcf(c_19278,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(X1) )
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1026,c_1002]) ).
tcf(c_19293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X0))),c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[status(thm)],[c_888,c_697]) ).
tcf(c_19294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X0))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) )
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[status(thm)],[c_697,c_836]) ).
tcf(c_19305,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent) = c_Event_Obad )
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ) ),
inference(superposition,[status(thm)],[c_699,c_836]) ).
tcf(c_19306,plain,
! [X0: $i,X1: $i] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OServer,X0),X1,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
inference(superposition,[status(thm)],[c_699,c_685]) ).
tcf(c_19307,plain,
! [X0: $i,X1: $i] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),X1,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
inference(superposition,[status(thm)],[c_699,c_673]) ).
tcf(c_19308,plain,
! [X0: $i,X1: $i] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),X1,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
inference(superposition,[status(thm)],[c_699,c_674]) ).
tcf(c_19319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_733,c_721]) ).
tcf(c_19322,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12890,c_721]) ).
tcf(c_19323,plain,
! [X0: $i] :
( c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12891,c_721]) ).
tcf(c_19324,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_730,c_721]) ).
tcf(c_19325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X3,X4,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_Set_Oinsert(X3,c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_726,c_721]) ).
tcf(c_19342,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_1040]) ).
tcf(c_19344,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X1,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19307,c_1032]) ).
tcf(c_19345,plain,
! [X0: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19307,c_13131]) ).
tcf(c_19346,plain,
! [X0: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19307,c_13079]) ).
tcf(c_19347,plain,
! [X0: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19307,c_13002]) ).
tcf(c_19349,plain,
! [X0: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,X0),
inference(superposition,[status(thm)],[c_19307,c_11573]) ).
tcf(c_19350,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_704]) ).
tcf(c_19351,plain,
! [X0: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19307,c_748]) ).
tcf(c_19367,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_1040]) ).
tcf(c_19369,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X1,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19308,c_1032]) ).
tcf(c_19375,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_704]) ).
tcf(c_19396,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19342]) ).
tcf(c_19397,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19342]) ).
tcf(c_19398,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19342]) ).
tcf(c_19399,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X0,tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19342,c_1003]) ).
tcf(c_19400,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),X1,tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),X1,tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19342,c_1002]) ).
tcf(c_19410,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19367]) ).
tcf(c_19411,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19367]) ).
tcf(c_19412,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19367]) ).
tcf(c_19413,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X0,tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19367,c_1003]) ).
tcf(c_19414,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),X1,tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),X1,tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19367,c_1002]) ).
tcf(c_19476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19344,c_11690]) ).
tcf(c_19477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X1,tc_Event_Oevent)),tc_Message_Omsg) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X1,tc_Event_Oevent)) )
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19344,c_836]) ).
tcf(c_19478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19344,c_11844]) ).
tcf(c_19479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19344,c_11820]) ).
tcf(c_19480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19344,c_11802]) ).
tcf(c_19481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19344,c_11775]) ).
tcf(c_19482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X2,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19344,c_1039]) ).
tcf(c_19483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X2,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19344,c_1038]) ).
tcf(c_19505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19350]) ).
tcf(c_19506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19350]) ).
tcf(c_19507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19350]) ).
tcf(c_19508,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19350]) ).
tcf(c_19509,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19350]) ).
tcf(c_19511,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19350,c_1003]) ).
tcf(c_19512,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19350,c_1002]) ).
tcf(c_19513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19350,c_995]) ).
tcf(c_19527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19369,c_11690]) ).
tcf(c_19528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X1,tc_Event_Oevent)),tc_Message_Omsg) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X1,tc_Event_Oevent)) )
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19369,c_836]) ).
tcf(c_19529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19369,c_11844]) ).
tcf(c_19530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oparts(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19369,c_11820]) ).
tcf(c_19531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19369,c_11802]) ).
tcf(c_19532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19369,c_11775]) ).
tcf(c_19533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X2,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19369,c_1039]) ).
tcf(c_19534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X2,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19369,c_1038]) ).
tcf(c_19568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19375]) ).
tcf(c_19569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19375]) ).
tcf(c_19570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19375]) ).
tcf(c_19571,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19375]) ).
tcf(c_19572,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19375]) ).
tcf(c_19574,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19375,c_1003]) ).
tcf(c_19575,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19375,c_1002]) ).
tcf(c_19576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19375,c_995]) ).
tcf(c_19586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_959,c_12672]) ).
tcf(c_19587,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_944,c_12672]) ).
tcf(c_19588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X1,c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_935,c_12672]) ).
tcf(c_19589,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12672,c_1029]) ).
tcf(c_19590,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12672,c_864]) ).
tcf(c_19591,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_12879]) ).
tcf(c_19592,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_12878]) ).
tcf(c_19593,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_12875]) ).
tcf(c_19594,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12672,c_824]) ).
tcf(c_19600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_Message_Omsg_ONonce(X1),X3,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12672,c_853]) ).
tcf(c_19601,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12672,c_1051]) ).
tcf(c_19602,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_841]) ).
tcf(c_19605,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12672,c_850]) ).
tcf(c_19606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(X1,c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_838]) ).
tcf(c_19607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(X1,c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_12877]) ).
tcf(c_19608,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12672,c_864]) ).
tcf(c_19609,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_12672,c_18401]) ).
tcf(c_19610,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_12672,c_802]) ).
tcf(c_19611,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_12672,c_799]) ).
tcf(c_19669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_733,c_724]) ).
tcf(c_19672,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12890,c_724]) ).
tcf(c_19673,plain,
! [X0: $i] :
( c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_List_Oset(X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12891,c_724]) ).
tcf(c_19674,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_730,c_724]) ).
tcf(c_19675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X3,X4,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_Set_Oinsert(X3,c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_726,c_724]) ).
tcf(c_19715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X5,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19375]) ).
tcf(c_19716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X5,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19350]) ).
tcf(c_19717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X0),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19367]) ).
tcf(c_19718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X0),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19342]) ).
tcf(c_19721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_1040]) ).
tcf(c_19723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X1),X2,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_741,c_1032]) ).
tcf(c_19724,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_741,c_13131]) ).
tcf(c_19725,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_741,c_13079]) ).
tcf(c_19726,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Message_Osynth(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_741,c_13002]) ).
tcf(c_19727,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_12005]) ).
tcf(c_19728,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_741,c_11573]) ).
tcf(c_19729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X0),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_704]) ).
tcf(c_19730,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_741,c_748]) ).
tcf(c_19731,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_704]) ).
tcf(c_19789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X4,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_742,c_19375]) ).
tcf(c_19790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X4,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_742,c_19350]) ).
tcf(c_19791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X0),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_742,c_19367]) ).
tcf(c_19792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X0),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_742,c_19342]) ).
tcf(c_19795,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X2,X0),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_742,c_1040]) ).
tcf(c_19797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X1),X2,tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_742,c_1032]) ).
tcf(c_19803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg),c_Event_Oknows(X1,c_List_Olist_OCons(X3,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X4,X0),X2,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_742,c_704]) ).
tcf(c_19825,plain,
! [X0: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Message_Oanalz(X0)),
inference(superposition,[status(thm)],[c_1066,c_826]) ).
tcf(c_19826,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_1072,c_826]) ).
tcf(c_19827,plain,
! [X0: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Message_Oanalz(X0)),
inference(superposition,[status(thm)],[c_1076,c_826]) ).
tcf(c_19828,plain,
! [X0: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X0))),
inference(superposition,[status(thm)],[c_1023,c_826]) ).
tcf(c_19830,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_799,c_826]) ).
tcf(c_19831,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_786,c_826]) ).
tcf(c_19832,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_826,c_3975]) ).
tcf(c_19833,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X2,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_826,c_826]) ).
tcf(c_19834,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_16524]) ).
tcf(c_19835,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_826,c_829]) ).
tcf(c_19836,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_826,c_828]) ).
tcf(c_19837,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_12143]) ).
tcf(c_19838,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),
inference(superposition,[status(thm)],[c_826,c_1023]) ).
tcf(c_19839,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_11945]) ).
tcf(c_19840,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_831]) ).
tcf(c_19841,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_827]) ).
tcf(c_19842,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_826,c_821]) ).
tcf(c_19843,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),
inference(superposition,[status(thm)],[c_826,c_820]) ).
tcf(c_19844,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_826,c_18401]) ).
tcf(c_19845,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_826,c_829]) ).
tcf(c_19846,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_826,c_828]) ).
tcf(c_19847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) )
| ~ c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_826,c_815]) ).
tcf(c_19848,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_826,c_4358]) ).
tcf(c_19849,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_826,c_14011]) ).
tcf(c_19850,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_824]) ).
tcf(c_19851,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_826,c_813]) ).
tcf(c_19852,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_826,c_819]) ).
tcf(c_19853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),X3,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_826,c_781]) ).
tcf(c_19854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),X3,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_826,c_780]) ).
tcf(c_19855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_826,c_777]) ).
tcf(c_19856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_826,c_776]) ).
tcf(c_19860,plain,
! [X0: $i] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(X0),
inference(light_normalisation,[status(thm)],[c_19825,c_821]) ).
tcf(c_19950,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_17813]) ).
tcf(c_19952,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_821,c_17813]) ).
tcf(c_19954,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_17813]) ).
tcf(c_19955,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_17813]) ).
tcf(c_19956,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),
inference(superposition,[status(thm)],[c_17813,c_1003]) ).
tcf(c_19957,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),
inference(superposition,[status(thm)],[c_17813,c_1002]) ).
tcf(c_19958,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_17813,c_995]) ).
tcf(c_19959,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17813,c_846]) ).
tcf(c_19960,plain,
! [X0: $i,X1: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17813,c_853]) ).
tcf(c_19961,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(X0)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17813,c_870]) ).
tcf(c_19962,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17813,c_14173]) ).
tcf(c_19963,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17813,c_14146]) ).
tcf(c_19964,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17813,c_14128]) ).
tcf(c_19965,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17813,c_12896]) ).
tcf(c_19966,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17813,c_12893]) ).
tcf(c_19988,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_17814]) ).
tcf(c_19989,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_820,c_17814]) ).
tcf(c_19990,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_17814]) ).
tcf(c_19992,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_17814]) ).
tcf(c_19993,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_17814]) ).
tcf(c_19994,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_17814]) ).
tcf(c_19995,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_17814]) ).
tcf(c_19996,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_17814]) ).
tcf(c_19997,plain,
c_lessequals(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_17814]) ).
tcf(c_19998,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),
inference(superposition,[status(thm)],[c_17814,c_1003]) ).
tcf(c_19999,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),X0,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),
inference(superposition,[status(thm)],[c_17814,c_1002]) ).
tcf(c_20000,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X1))),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_17814,c_995]) ).
tcf(c_20001,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17814,c_846]) ).
tcf(c_20002,plain,
! [X0: $i,X1: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17814,c_853]) ).
tcf(c_20003,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(X0)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17814,c_870]) ).
tcf(c_20004,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17814,c_14173]) ).
tcf(c_20005,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17814,c_14146]) ).
tcf(c_20006,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17814,c_14128]) ).
tcf(c_20007,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17814,c_12896]) ).
tcf(c_20008,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17814,c_12893]) ).
tcf(c_20012,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_19992,c_16024]) ).
tcf(c_20074,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_18840]) ).
tcf(c_20076,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_18840]) ).
tcf(c_20077,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11567,c_18840]) ).
tcf(c_20078,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_18840]) ).
tcf(c_20079,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11571,c_18840]) ).
tcf(c_20080,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Message_Osynth(c_Event_Oknows(X0,X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11573,c_18840]) ).
tcf(c_20081,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11578,c_18840]) ).
tcf(c_20083,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_18840]) ).
tcf(c_20084,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_18840]) ).
tcf(c_20086,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11756,c_18840]) ).
tcf(c_20094,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_18840]) ).
tcf(c_20095,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X1)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12329,c_18840]) ).
tcf(c_20096,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_18840]) ).
tcf(c_20097,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X1)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12370,c_18840]) ).
tcf(c_20098,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_18840]) ).
tcf(c_20099,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_18840]) ).
tcf(c_20100,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13196,c_18840]) ).
tcf(c_20101,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_18840]) ).
tcf(c_20102,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_18840]) ).
tcf(c_20103,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_18840]) ).
tcf(c_20104,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_18840]) ).
tcf(c_20105,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_18840]) ).
tcf(c_20106,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_18840]) ).
tcf(c_20107,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_18840]) ).
tcf(c_20108,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Message_Osynth(c_Event_Oknows(v_S,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_18840]) ).
tcf(c_20109,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_18840]) ).
tcf(c_20110,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18840,c_11690]) ).
tcf(c_20111,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_18840,c_836]) ).
tcf(c_20112,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18840,c_11844]) ).
tcf(c_20113,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18840,c_11820]) ).
tcf(c_20114,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18840,c_11802]) ).
tcf(c_20115,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18840,c_11775]) ).
tcf(c_20116,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_18840,c_815]) ).
tcf(c_20167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19397]) ).
tcf(c_20169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X5,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19397]) ).
tcf(c_20170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19397]) ).
tcf(c_20171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19397]) ).
tcf(c_20172,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19397,c_1003]) ).
tcf(c_20173,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19397,c_1002]) ).
tcf(c_20174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19397,c_995]) ).
tcf(c_20235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19398]) ).
tcf(c_20237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X5,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19398]) ).
tcf(c_20238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19398]) ).
tcf(c_20239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19398]) ).
tcf(c_20240,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19398,c_1003]) ).
tcf(c_20241,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19398,c_1002]) ).
tcf(c_20242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19398,c_995]) ).
tcf(c_20252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19411]) ).
tcf(c_20254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X5,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19411]) ).
tcf(c_20255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19411]) ).
tcf(c_20256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19411]) ).
tcf(c_20257,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19411,c_1003]) ).
tcf(c_20258,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19411,c_1002]) ).
tcf(c_20259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19411,c_995]) ).
tcf(c_20269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19412]) ).
tcf(c_20271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X5,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19412]) ).
tcf(c_20272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19412]) ).
tcf(c_20273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19412]) ).
tcf(c_20274,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19412,c_1003]) ).
tcf(c_20275,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19412,c_1002]) ).
tcf(c_20276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X1,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19412,c_995]) ).
tcf(c_20286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19506]) ).
tcf(c_20288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19506]) ).
tcf(c_20289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19506]) ).
tcf(c_20290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19506]) ).
tcf(c_20291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19506]) ).
tcf(c_20294,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19506]) ).
tcf(c_20296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19506,c_1003]) ).
tcf(c_20297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19506,c_1002]) ).
tcf(c_20298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19506,c_995]) ).
tcf(c_20309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19507]) ).
tcf(c_20311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19507]) ).
tcf(c_20312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19507]) ).
tcf(c_20313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19507]) ).
tcf(c_20314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19507]) ).
tcf(c_20317,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19507]) ).
tcf(c_20319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19507,c_1003]) ).
tcf(c_20320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19507,c_1002]) ).
tcf(c_20321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19507,c_995]) ).
tcf(c_20361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19569]) ).
tcf(c_20363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19569]) ).
tcf(c_20364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19569]) ).
tcf(c_20365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19569]) ).
tcf(c_20366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19569]) ).
tcf(c_20369,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19569]) ).
tcf(c_20371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19569,c_1003]) ).
tcf(c_20372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19569,c_1002]) ).
tcf(c_20373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19569,c_995]) ).
tcf(c_20424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19570]) ).
tcf(c_20426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_19570]) ).
tcf(c_20427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19570]) ).
tcf(c_20428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_19570]) ).
tcf(c_20429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_19570]) ).
tcf(c_20432,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_19570]) ).
tcf(c_20434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19570,c_1003]) ).
tcf(c_20435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_19570,c_1002]) ).
tcf(c_20436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19570,c_995]) ).
tcf(c_20450,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),X0,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_872,c_875]) ).
tcf(c_20451,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_968,c_875]) ).
tcf(c_20452,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_767,c_875]) ).
tcf(c_20453,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_820,c_875]) ).
tcf(c_20454,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_802,c_875]) ).
tcf(c_20455,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_859,c_875]) ).
tcf(c_20456,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_789,c_875]) ).
tcf(c_20457,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),X0,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_875]) ).
tcf(c_20458,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),X0,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_875]) ).
tcf(c_20459,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),X0,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_875]) ).
tcf(c_20460,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),X0,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_875]) ).
tcf(c_20461,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),X0,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_875]) ).
tcf(c_20462,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_872,c_875]) ).
tcf(c_20463,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_968,c_875]) ).
tcf(c_20464,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_767,c_875]) ).
tcf(c_20465,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_820,c_875]) ).
tcf(c_20466,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_802,c_875]) ).
tcf(c_20467,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_859,c_875]) ).
tcf(c_20468,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_789,c_875]) ).
tcf(c_20469,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_875]) ).
tcf(c_20470,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_875]) ).
tcf(c_20471,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_875]) ).
tcf(c_20472,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_875]) ).
tcf(c_20473,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_875]) ).
tcf(c_20474,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ( c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) != c_Message_Oparts(X1) ) ),
inference(superposition,[status(thm)],[c_875,c_1001]) ).
tcf(c_20476,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_875,c_997]) ).
tcf(c_20477,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oparts(X0)),c_Message_Oanalz(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oparts(X0)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_875,c_3975]) ).
tcf(c_20478,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_875,c_1072]) ).
tcf(c_20479,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_875,c_998]) ).
tcf(c_20480,plain,
! [X0: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X0),
inference(superposition,[status(thm)],[c_875,c_1076]) ).
tcf(c_20481,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_875,c_1070]) ).
tcf(c_20482,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Oparts(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_875,c_833]) ).
tcf(c_20483,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_875,c_1069]) ).
tcf(c_20484,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_875,c_13222]) ).
tcf(c_20485,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_875,c_13223]) ).
tcf(c_20492,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(light_normalisation,[status(thm)],[c_20467,c_875]) ).
tcf(c_20493,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(light_normalisation,[status(thm)],[c_20465,c_875]) ).
tcf(c_20494,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(light_normalisation,[status(thm)],[c_20455,c_875]) ).
tcf(c_20495,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(light_normalisation,[status(thm)],[c_20453,c_875,c_19843]) ).
tcf(c_20586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ c_in(hAPP(c_Public_OpublicKey(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat) ),
inference(superposition,[status(thm)],[c_983,c_921]) ).
tcf(c_20592,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OpublicKey(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat) ),
inference(superposition,[status(thm)],[c_983,c_922]) ).
tcf(c_20597,plain,
! [X0: $i] :
( c_lessequals(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1043,c_1022]) ).
tcf(c_20598,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_826,c_1022]) ).
tcf(c_20599,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_961,c_1022]) ).
tcf(c_20600,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_821,c_1022]) ).
tcf(c_20601,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oparts(X0)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_818,c_1022]) ).
tcf(c_20602,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_799,c_1022]) ).
tcf(c_20603,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_786,c_1022]) ).
tcf(c_20604,plain,
! [X0: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1043,c_1022]) ).
tcf(c_20605,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_826,c_1022]) ).
tcf(c_20606,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_961,c_1022]) ).
tcf(c_20607,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_821,c_1022]) ).
tcf(c_20608,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_818,c_1022]) ).
tcf(c_20609,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_799,c_1022]) ).
tcf(c_20610,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_786,c_1022]) ).
tcf(c_20611,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(c_Message_Oanalz(X1)) )
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1022,c_1003]) ).
tcf(c_20612,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(c_Message_Oanalz(X1)) )
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1022,c_1002]) ).
tcf(c_20613,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1022,c_995]) ).
tcf(c_20614,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1022,c_1025]) ).
tcf(c_20634,plain,
! [X0: $i] : c_lessequals(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_subsumption_resolution,[status(thm)],[c_20597,c_1063]) ).
tcf(c_20696,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_19171]) ).
tcf(c_20698,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_19171]) ).
tcf(c_20699,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11567,c_19171]) ).
tcf(c_20700,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Message_Osynth(c_Event_Oused(X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_19171]) ).
tcf(c_20701,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11571,c_19171]) ).
tcf(c_20702,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Message_Osynth(c_Event_Oknows(X0,X1))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11573,c_19171]) ).
tcf(c_20703,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11578,c_19171]) ).
tcf(c_20705,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_19171]) ).
tcf(c_20706,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_19171]) ).
tcf(c_20716,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_19171]) ).
tcf(c_20717,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X1)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12329,c_19171]) ).
tcf(c_20718,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_19171]) ).
tcf(c_20719,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X1)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12370,c_19171]) ).
tcf(c_20720,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_19171]) ).
tcf(c_20721,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_19171]) ).
tcf(c_20722,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13196,c_19171]) ).
tcf(c_20723,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_19171]) ).
tcf(c_20724,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_19171]) ).
tcf(c_20725,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_19171]) ).
tcf(c_20726,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_19171]) ).
tcf(c_20727,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_19171]) ).
tcf(c_20728,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Event_Oknows(v_Aa,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_19171]) ).
tcf(c_20729,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_19171]) ).
tcf(c_20730,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Message_Osynth(c_Event_Oknows(v_S,v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_19171]) ).
tcf(c_20731,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_19171]) ).
tcf(c_20732,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19171,c_11690]) ).
tcf(c_20733,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_19171,c_836]) ).
tcf(c_20734,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19171,c_11844]) ).
tcf(c_20735,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19171,c_11820]) ).
tcf(c_20736,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19171,c_11802]) ).
tcf(c_20737,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19171,c_11775]) ).
tcf(c_20738,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_19171,c_860]) ).
tcf(c_20811,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16217,c_1029]) ).
tcf(c_20812,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16217,c_864]) ).
tcf(c_20815,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16217,c_12875]) ).
tcf(c_20816,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16217,c_824]) ).
tcf(c_20822,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OAgent(v_Aa),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oused(v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16217,c_853]) ).
tcf(c_20828,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16217,c_838]) ).
tcf(c_20829,plain,
! [X0: $i] : c_in(c_Message_Omsg_OAgent(v_Aa),c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16217,c_12877]) ).
tcf(c_20830,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oused(v_evs3)),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),
inference(superposition,[status(thm)],[c_16217,c_15979]) ).
tcf(c_20831,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Event_Oused(v_evs3)),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),
inference(superposition,[status(thm)],[c_16217,c_14011]) ).
tcf(c_20836,plain,
c_lessequals(c_Message_Oanalz(c_Event_Oused(v_evs3)),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_20816,c_16225]) ).
tcf(c_20837,plain,
c_lessequals(c_Message_Oparts(c_Event_Oused(v_evs3)),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_20812,c_16222]) ).
tcf(c_20847,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16632,c_19171]) ).
tcf(c_20848,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16632,c_18840]) ).
tcf(c_20849,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16632,c_1029]) ).
tcf(c_20850,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16632,c_864]) ).
tcf(c_20853,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16632,c_12875]) ).
tcf(c_20854,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16632,c_824]) ).
tcf(c_20860,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OAgent(v_Ba),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oused(v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16632,c_853]) ).
tcf(c_20866,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16632,c_838]) ).
tcf(c_20867,plain,
! [X0: $i] : c_in(c_Message_Omsg_OAgent(v_Ba),c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16632,c_12877]) ).
tcf(c_20868,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oused(v_evs3)),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),
inference(superposition,[status(thm)],[c_16632,c_15979]) ).
tcf(c_20869,plain,
c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Event_Oused(v_evs3)),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),
inference(superposition,[status(thm)],[c_16632,c_14011]) ).
tcf(c_20880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20170]) ).
tcf(c_20882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20170]) ).
tcf(c_20883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20170]) ).
tcf(c_20884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20170]) ).
tcf(c_20885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20170,c_1003]) ).
tcf(c_20886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20170,c_1002]) ).
tcf(c_20887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20170,c_995]) ).
tcf(c_20897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20171]) ).
tcf(c_20899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20171]) ).
tcf(c_20900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20171]) ).
tcf(c_20901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20171]) ).
tcf(c_20902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20171,c_1003]) ).
tcf(c_20903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20171,c_1002]) ).
tcf(c_20904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20171,c_995]) ).
tcf(c_20927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20238]) ).
tcf(c_20929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20238]) ).
tcf(c_20930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20238]) ).
tcf(c_20931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20238]) ).
tcf(c_20932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20238,c_1003]) ).
tcf(c_20933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20238,c_1002]) ).
tcf(c_20934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20238,c_995]) ).
tcf(c_20996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20239]) ).
tcf(c_20998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20239]) ).
tcf(c_20999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20239]) ).
tcf(c_21000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20239]) ).
tcf(c_21001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20239,c_1003]) ).
tcf(c_21002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20239,c_1002]) ).
tcf(c_21003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20239,c_995]) ).
tcf(c_21013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20255]) ).
tcf(c_21015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20255]) ).
tcf(c_21016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20255]) ).
tcf(c_21017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20255]) ).
tcf(c_21018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20255,c_1003]) ).
tcf(c_21019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20255,c_1002]) ).
tcf(c_21020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20255,c_995]) ).
tcf(c_21030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20256]) ).
tcf(c_21032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20256]) ).
tcf(c_21033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20256]) ).
tcf(c_21034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20256]) ).
tcf(c_21035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20256,c_1003]) ).
tcf(c_21036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20256,c_1002]) ).
tcf(c_21037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20256,c_995]) ).
tcf(c_21047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20272]) ).
tcf(c_21049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20272]) ).
tcf(c_21050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20272]) ).
tcf(c_21051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20272]) ).
tcf(c_21052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20272,c_1003]) ).
tcf(c_21053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20272,c_1002]) ).
tcf(c_21054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20272,c_995]) ).
tcf(c_21064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20273]) ).
tcf(c_21066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20273]) ).
tcf(c_21067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20273]) ).
tcf(c_21068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20273]) ).
tcf(c_21069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20273,c_1003]) ).
tcf(c_21070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20273,c_1002]) ).
tcf(c_21071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20273,c_995]) ).
tcf(c_21103,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),c_List_Oset(X1,X0),tc_fun(X0,tc_bool)) = c_List_Oset(c_List_Oappend(c_List_Olist_ONil(X0),X1,X0),X0),
inference(superposition,[status(thm)],[c_730,c_736]) ).
tcf(c_21104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),c_List_Oset(X3,X2),tc_fun(X2,tc_bool)) = c_List_Oset(c_List_Oappend(c_List_Olist_OCons(X0,X1,X2),X3,X2),X2),
inference(superposition,[status(thm)],[c_726,c_736]) ).
tcf(c_21105,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_List_Oset(c_List_Oappend(X0,c_List_Olist_ONil(X1),X1),X1),
inference(superposition,[status(thm)],[c_730,c_736]) ).
tcf(c_21106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X0,X1),c_Set_Oinsert(X2,c_List_Oset(X3,X1),X1),tc_fun(X1,tc_bool)) = c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X2,X3,X1),X1),X1),
inference(superposition,[status(thm)],[c_726,c_736]) ).
tcf(c_21107,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_List_Oset(X0,X2),c_List_Oset(X1,X2),tc_fun(X2,tc_bool))
| ( c_List_Oset(c_List_Oappend(X0,X1,X2),X2) != c_List_Oset(X1,X2) ) ),
inference(superposition,[status(thm)],[c_736,c_1001]) ).
tcf(c_21109,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_List_Oset(X0,X1),c_List_Oset(c_List_Oappend(X0,X2,X1),X1),tc_fun(X1,tc_bool)),
inference(superposition,[status(thm)],[c_736,c_997]) ).
tcf(c_21110,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_List_Oset(X0,tc_Message_Omsg)),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_List_Oset(X0,tc_Message_Omsg)),c_List_Oset(X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_736,c_3975]) ).
tcf(c_21111,plain,
! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X0,X1),c_List_Oset(X2,X1),tc_fun(X1,tc_bool)) = c_List_Oset(c_List_Oappend(X2,X0,X1),X1),
inference(superposition,[status(thm)],[c_736,c_1072]) ).
tcf(c_21112,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_List_Oset(X0,X1),c_List_Oset(c_List_Oappend(X2,X0,X1),X1),tc_fun(X1,tc_bool)),
inference(superposition,[status(thm)],[c_736,c_998]) ).
tcf(c_21113,plain,
! [X0: $i,X1: $i] : c_List_Oset(c_List_Oappend(X0,X0,X1),X1) = c_List_Oset(X0,X1),
inference(superposition,[status(thm)],[c_736,c_1076]) ).
tcf(c_21114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_List_Oset(c_List_Oappend(X1,X3,X2),X2),X2)
| ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_736,c_1070]) ).
tcf(c_21115,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_List_Oset(X1,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_736,c_833]) ).
tcf(c_21116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_List_Oset(c_List_Oappend(X3,X1,X2),X2),X2)
| ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_736,c_1069]) ).
tcf(c_21123,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_List_Oset(X0,X1),
inference(light_normalisation,[status(thm)],[c_21105,c_942]) ).
tcf(c_21124,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),c_List_Oset(X1,X0),tc_fun(X0,tc_bool)) = c_List_Oset(X1,X0),
inference(light_normalisation,[status(thm)],[c_21103,c_944]) ).
tcf(c_21191,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_993]) ).
tcf(c_21192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(superposition,[status(thm)],[c_998,c_993]) ).
tcf(c_21193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(superposition,[status(thm)],[c_997,c_993]) ).
tcf(c_21194,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1020,c_993]) ).
tcf(c_21196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(X1,c_Set_Oinsert(X4,X3,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_993]) ).
tcf(c_21197,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_993]) ).
tcf(c_21198,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_993]) ).
tcf(c_21199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(X0,c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),
inference(superposition,[status(thm)],[c_850,c_993]) ).
tcf(c_21200,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_874,c_993]) ).
tcf(c_21201,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_827,c_993]) ).
tcf(c_21202,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16523,c_993]) ).
tcf(c_21203,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16524,c_993]) ).
tcf(c_21204,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17812,c_993]) ).
tcf(c_21205,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17813,c_993]) ).
tcf(c_21206,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17814,c_993]) ).
tcf(c_21207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_List_Oset(X1,X2),X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_List_Oset(c_List_Oappend(X0,X1,X2),X2),X3,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_736,c_993]) ).
tcf(c_21210,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_1066,c_993]) ).
tcf(c_21212,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_875,c_993]) ).
tcf(c_21214,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_882,c_993]) ).
tcf(c_21215,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1023,c_993]) ).
tcf(c_21216,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_3975,c_993]) ).
tcf(c_21256,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_994]) ).
tcf(c_21257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(superposition,[status(thm)],[c_998,c_994]) ).
tcf(c_21258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(superposition,[status(thm)],[c_997,c_994]) ).
tcf(c_21259,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1020,c_994]) ).
tcf(c_21261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(X0,c_Set_Oinsert(X4,X3,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_994]) ).
tcf(c_21262,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_994]) ).
tcf(c_21263,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_994]) ).
tcf(c_21264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(X0,c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),
inference(superposition,[status(thm)],[c_850,c_994]) ).
tcf(c_21265,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_874,c_994]) ).
tcf(c_21266,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_827,c_994]) ).
tcf(c_21267,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16523,c_994]) ).
tcf(c_21268,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16524,c_994]) ).
tcf(c_21269,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17812,c_994]) ).
tcf(c_21270,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17813,c_994]) ).
tcf(c_21271,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17814,c_994]) ).
tcf(c_21272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_List_Oset(X0,X2),X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_List_Oset(c_List_Oappend(X0,X1,X2),X2),X3,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_736,c_994]) ).
tcf(c_21277,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(X0),X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_875,c_994]) ).
tcf(c_21279,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_882,c_994]) ).
tcf(c_21280,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1023,c_994]) ).
tcf(c_21281,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Osynth(X0),X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_3975,c_994]) ).
tcf(c_21287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(light_normalisation,[status(thm)],[c_21258,c_1074]) ).
tcf(c_21325,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16633,c_19171]) ).
tcf(c_21326,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16633,c_18840]) ).
tcf(c_21327,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16633,c_1029]) ).
tcf(c_21328,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16633,c_864]) ).
tcf(c_21331,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16633,c_12875]) ).
tcf(c_21332,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_Message_Omsg),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16633,c_824]) ).
tcf(c_21338,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NAa),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Event_Oused(v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16633,c_853]) ).
tcf(c_21344,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16633,c_838]) ).
tcf(c_21345,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_NAa),c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16633,c_12877]) ).
tcf(c_21346,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Event_Oused(v_evs3)),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),
inference(superposition,[status(thm)],[c_16633,c_18401]) ).
tcf(c_21410,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Osynth(c_Event_Oused(v_evs3)),
inference(superposition,[status(thm)],[c_21331,c_836]) ).
tcf(c_21412,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),
inference(superposition,[status(thm)],[c_21325,c_836]) ).
tcf(c_21413,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),
inference(superposition,[status(thm)],[c_21325,c_860]) ).
tcf(c_21415,plain,
c_in(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_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_20081,c_11690]) ).
tcf(c_21416,plain,
c_Set_Oinsert(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_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_20081,c_836]) ).
tcf(c_21417,plain,
c_Message_Oanalz(c_Set_Oinsert(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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_20081,c_815]) ).
tcf(c_21420,plain,
c_in(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_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_20703,c_11690]) ).
tcf(c_21421,plain,
c_Set_Oinsert(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_20703,c_836]) ).
tcf(c_21422,plain,
c_Message_Oparts(c_Set_Oinsert(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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_20703,c_860]) ).
tcf(c_21425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20289]) ).
tcf(c_21427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20289]) ).
tcf(c_21428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20289]) ).
tcf(c_21429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20289]) ).
tcf(c_21430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20289]) ).
tcf(c_21433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20289]) ).
tcf(c_21435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20289,c_1003]) ).
tcf(c_21436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20289,c_1002]) ).
tcf(c_21437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20289,c_995]) ).
tcf(c_21448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20290]) ).
tcf(c_21450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20290]) ).
tcf(c_21451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20290]) ).
tcf(c_21452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20290]) ).
tcf(c_21453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20290]) ).
tcf(c_21456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20290]) ).
tcf(c_21458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20290,c_1003]) ).
tcf(c_21459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20290,c_1002]) ).
tcf(c_21460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20290,c_995]) ).
tcf(c_21484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20312]) ).
tcf(c_21486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20312]) ).
tcf(c_21487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20312]) ).
tcf(c_21488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20312]) ).
tcf(c_21489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20312]) ).
tcf(c_21492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20312]) ).
tcf(c_21494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20312,c_1003]) ).
tcf(c_21495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20312,c_1002]) ).
tcf(c_21496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20312,c_995]) ).
tcf(c_21507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20313]) ).
tcf(c_21509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20313]) ).
tcf(c_21510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20313]) ).
tcf(c_21511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20313]) ).
tcf(c_21512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20313]) ).
tcf(c_21515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20313]) ).
tcf(c_21517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20313,c_1003]) ).
tcf(c_21518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20313,c_1002]) ).
tcf(c_21519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20313,c_995]) ).
tcf(c_21541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20364]) ).
tcf(c_21543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20364]) ).
tcf(c_21544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20364]) ).
tcf(c_21545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20364]) ).
tcf(c_21546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20364]) ).
tcf(c_21549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20364]) ).
tcf(c_21551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20364,c_1003]) ).
tcf(c_21552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20364,c_1002]) ).
tcf(c_21553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20364,c_995]) ).
tcf(c_21616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20365]) ).
tcf(c_21618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20365]) ).
tcf(c_21619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20365]) ).
tcf(c_21620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20365]) ).
tcf(c_21621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20365]) ).
tcf(c_21624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20365]) ).
tcf(c_21626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20365,c_1003]) ).
tcf(c_21627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20365,c_1002]) ).
tcf(c_21628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20365,c_995]) ).
tcf(c_21639,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
inference(demodulation,[status(thm)],[c_12679,c_848]) ).
tcf(c_21640,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_872,c_21639]) ).
tcf(c_21641,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_968,c_21639]) ).
tcf(c_21642,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_767,c_21639]) ).
tcf(c_21643,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_820,c_21639]) ).
tcf(c_21644,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_802,c_21639]) ).
tcf(c_21645,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_859,c_21639]) ).
tcf(c_21646,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_789,c_21639]) ).
tcf(c_21647,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15461,c_21639]) ).
tcf(c_21648,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15532,c_21639]) ).
tcf(c_21649,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15604,c_21639]) ).
tcf(c_21650,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15675,c_21639]) ).
tcf(c_21651,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_15863,c_21639]) ).
tcf(c_21652,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_842,c_21639]) ).
tcf(c_21653,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_838,c_21639]) ).
tcf(c_21655,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_11562,c_21639]) ).
tcf(c_21656,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_11865,c_21639]) ).
tcf(c_21657,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_11866,c_21639]) ).
tcf(c_21658,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_12409,c_21639]) ).
tcf(c_21659,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_12672,c_21639]) ).
tcf(c_21660,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oused(v_evs3)),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Event_Oused(v_evs3))),
inference(superposition,[status(thm)],[c_16633,c_21639]) ).
tcf(c_21661,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))))),
inference(superposition,[status(thm)],[c_18401,c_21639]) ).
tcf(c_21663,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_19171]) ).
tcf(c_21664,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_18840]) ).
tcf(c_21665,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_21639,c_1029]) ).
tcf(c_21666,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_21639,c_864]) ).
tcf(c_21667,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_12879]) ).
tcf(c_21668,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_12878]) ).
tcf(c_21669,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_12875]) ).
tcf(c_21670,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_21639,c_824]) ).
tcf(c_21671,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ( c_Message_Omsg_ONonce(X1) = X0 )
| ~ c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21639,c_843]) ).
tcf(c_21673,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21639,c_847]) ).
tcf(c_21674,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21639,c_845]) ).
tcf(c_21675,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21639,c_846]) ).
tcf(c_21676,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21639,c_853]) ).
tcf(c_21677,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
inference(superposition,[status(thm)],[c_21639,c_842]) ).
tcf(c_21678,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_21639,c_1051]) ).
tcf(c_21679,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_841]) ).
tcf(c_21680,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21639,c_862]) ).
tcf(c_21681,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21639,c_814]) ).
tcf(c_21682,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_21639,c_850]) ).
tcf(c_21683,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X1,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_838]) ).
tcf(c_21684,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Set_Oinsert(X1,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_12877]) ).
tcf(c_21685,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))))),
inference(superposition,[status(thm)],[c_21639,c_21639]) ).
tcf(c_21686,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))))),
inference(superposition,[status(thm)],[c_21639,c_18401]) ).
tcf(c_21687,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_21639,c_802]) ).
tcf(c_21688,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_21639,c_799]) ).
tcf(c_21693,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))),
inference(light_normalisation,[status(thm)],[c_21645,c_18405]) ).
tcf(c_21698,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
inference(light_normalisation,[status(thm)],[c_21652,c_802]) ).
tcf(c_21706,plain,
! [X0: $i] : c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
inference(light_normalisation,[status(thm)],[c_21640,c_18402]) ).
tcf(c_21707,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg))) = c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg))),
inference(light_normalisation,[status(thm)],[c_21641,c_18403]) ).
tcf(c_21819,plain,
! [X0: $i,X1: $i] :
( ( c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg) = c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) )
| ~ c_lessequals(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1029,c_1005]) ).
tcf(c_21821,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Osynth(X0) = c_Message_Osynth(X1) )
| ~ c_lessequals(X1,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1026,c_1005]) ).
tcf(c_21822,plain,
! [X0: $i] :
( ( c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_Oused(X0) )
| ~ c_lessequals(c_Event_Oused(X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1042,c_1005]) ).
tcf(c_21823,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Osynth(X0) = X1 )
| ~ c_lessequals(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_1005]) ).
tcf(c_21824,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = X1 )
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_998,c_1005]) ).
tcf(c_21825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = X0 )
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X0,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_997,c_1005]) ).
tcf(c_21826,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Event_Oknows(X0,c_List_Olist_OCons(X1,X2,tc_Event_Oevent)) = c_Event_Oknows(X0,X2) )
| ~ c_lessequals(c_Event_Oknows(X0,c_List_Olist_OCons(X1,X2,tc_Event_Oevent)),c_Event_Oknows(X0,X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_704,c_1005]) ).
tcf(c_21827,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(X0)) = c_Message_Osynth(c_Message_Oanalz(X1)) )
| ~ c_lessequals(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1022,c_1005]) ).
tcf(c_21828,plain,
! [X0: $i] :
( ( c_Message_Osynth(X0) = X0 )
| ~ c_lessequals(c_Message_Osynth(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1020,c_1005]) ).
tcf(c_21830,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oanalz(X0) = c_Message_Oanalz(X1) )
| ~ c_lessequals(X1,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_829,c_1005]) ).
tcf(c_21831,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)) = c_Event_Oused(X0) )
| ~ c_lessequals(c_Event_Oused(X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1040,c_1005]) ).
tcf(c_21832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = X3 )
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_847,c_1005]) ).
tcf(c_21833,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(X0) = X1 )
| ~ c_lessequals(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_1005]) ).
tcf(c_21834,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oanalz(X0) = X1 )
| ~ c_lessequals(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_1005]) ).
tcf(c_21835,plain,
! [X0: $i] :
( ( c_Message_Oparts(X0) = c_Message_Oanalz(X0) )
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_831,c_1005]) ).
tcf(c_21836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = X1 )
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X1,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_850,c_1005]) ).
tcf(c_21837,plain,
! [X0: $i] :
( ( c_Message_Oparts(X0) = X0 )
| ~ c_lessequals(c_Message_Oparts(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_874,c_1005]) ).
tcf(c_21838,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(X0) = c_Message_Oparts(X1) )
| ~ c_lessequals(X1,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_871,c_1005]) ).
tcf(c_21839,plain,
! [X0: $i] :
( ( c_Message_Oanalz(X0) = X0 )
| ~ c_lessequals(c_Message_Oanalz(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_827,c_1005]) ).
tcf(c_21840,plain,
! [X0: $i,X1: $i] :
( ( c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_864,c_1005]) ).
tcf(c_21841,plain,
! [X0: $i,X1: $i] :
( ( c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) )
| ~ c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_824,c_1005]) ).
tcf(c_21842,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Message_Osynth(X0)) = c_Message_Oparts(X0) )
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11926,c_1005]) ).
tcf(c_21843,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))) = c_Message_Oparts(X0) )
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11945,c_1005]) ).
tcf(c_21844,plain,
! [X0: $i] :
( ( c_Message_Oanalz(c_Message_Osynth(X0)) = c_Message_Oanalz(X0) )
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12143,c_1005]) ).
tcf(c_21845,plain,
( ( c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) )
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15468,c_1005]) ).
tcf(c_21846,plain,
( ( c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15470,c_1005]) ).
tcf(c_21847,plain,
( ( c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15471,c_1005]) ).
tcf(c_21848,plain,
( ( c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15481,c_1005]) ).
tcf(c_21849,plain,
! [X0: $i] :
( ( c_Message_Oanalz(c_Message_Osynth(X0)) = X0 )
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16523,c_1005]) ).
tcf(c_21850,plain,
! [X0: $i] :
( ( c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))) = X0 )
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16524,c_1005]) ).
tcf(c_21851,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Message_Osynth(X0)) = X0 )
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_17812,c_1005]) ).
tcf(c_21852,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))) = X0 )
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_17813,c_1005]) ).
tcf(c_21853,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))) = X0 )
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_17814,c_1005]) ).
tcf(c_21854,plain,
! [X0: $i,X1: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),X1,tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),X1,tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19342,c_1005]) ).
tcf(c_21855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19350,c_1005]) ).
tcf(c_21856,plain,
! [X0: $i,X1: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),X1,tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),X1,tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19367,c_1005]) ).
tcf(c_21857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19375,c_1005]) ).
tcf(c_21858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19397,c_1005]) ).
tcf(c_21859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19398,c_1005]) ).
tcf(c_21860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19411,c_1005]) ).
tcf(c_21861,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),X2,tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19412,c_1005]) ).
tcf(c_21862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19506,c_1005]) ).
tcf(c_21863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19507,c_1005]) ).
tcf(c_21864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19569,c_1005]) ).
tcf(c_21865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19570,c_1005]) ).
tcf(c_21866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20170,c_1005]) ).
tcf(c_21867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20171,c_1005]) ).
tcf(c_21868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20238,c_1005]) ).
tcf(c_21869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20239,c_1005]) ).
tcf(c_21870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20255,c_1005]) ).
tcf(c_21871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20256,c_1005]) ).
tcf(c_21872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20272,c_1005]) ).
tcf(c_21873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),X3,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20273,c_1005]) ).
tcf(c_21874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X4) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20289,c_1005]) ).
tcf(c_21875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X4) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20290,c_1005]) ).
tcf(c_21876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X4) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20312,c_1005]) ).
tcf(c_21877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X4) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20313,c_1005]) ).
tcf(c_21878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X4) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20364,c_1005]) ).
tcf(c_21879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X4) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20365,c_1005]) ).
tcf(c_22152,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X1)) )
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1013,c_1006]) ).
tcf(c_22153,plain,
! [X0: $i,X1: $i] : c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X1)),
inference(superposition,[status(thm)],[c_795,c_1006]) ).
tcf(c_22154,plain,
! [X0: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(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)))),X0,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X0)) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_1006]) ).
tcf(c_22155,plain,
! [X0: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(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))),X0,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X0)) )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_1006]) ).
tcf(c_22156,plain,
! [X0: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))) )
| ~ c_in(X0,c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1043,c_1006]) ).
tcf(c_22157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)))) )
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_826,c_1006]) ).
tcf(c_22158,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg))) )
| ~ c_in(X0,c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_961,c_1006]) ).
tcf(c_22159,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(X1))) )
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_821,c_1006]) ).
tcf(c_22160,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(X1))) )
| ~ c_in(X0,c_Message_Osynth(c_Message_Oparts(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_818,c_1006]) ).
tcf(c_22161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))) )
| ~ c_in(X0,c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_799,c_1006]) ).
tcf(c_22162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))) )
| ~ c_in(X0,c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_786,c_1006]) ).
tcf(c_22163,plain,
! [X0: $i,X1: $i] : c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Osynth(c_Message_Oanalz(X1)),
inference(light_normalisation,[status(thm)],[c_22153,c_786]) ).
tcf(c_22170,plain,
! [X0: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))) = c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) )
| ~ c_in(X0,c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_22156,c_1043]) ).
tcf(c_22204,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),X1,tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),X0,tc_Event_Oevent)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Event_Oevent,tc_bool)),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12890,c_1068]) ).
tcf(c_22205,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_Aa,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)))),X1,tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(v_Aa,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)))),X0,tc_Event_Oevent)
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Event_Oevent,tc_bool)),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_12891,c_1068]) ).
tcf(c_22206,plain,
! [X0: $i,X1: $i] :
( c_in(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)))),X1,tc_Message_Omsg)
| c_in(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)))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_1068]) ).
tcf(c_22207,plain,
! [X0: $i,X1: $i] :
( c_in(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))),X1,tc_Message_Omsg)
| c_in(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))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_1068]) ).
tcf(c_22214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_List_Oset(X2,X3),X3)
| c_in(X0,c_List_Oset(X1,X3),X3)
| ~ c_in(X0,c_List_Oset(c_List_Oappend(X1,X2,X3),X3),X3) ),
inference(superposition,[status(thm)],[c_736,c_1068]) ).
tcf(c_22221,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_882,c_1068]) ).
tcf(c_22222,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1023,c_1068]) ).
tcf(c_22223,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_3975,c_1068]) ).
tcf(c_22257,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,X1)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,X1)),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_767,c_753]) ).
tcf(c_22258,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_802,c_753]) ).
tcf(c_22259,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_789,c_753]) ).
tcf(c_22260,plain,
! [X0: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15461,c_753]) ).
tcf(c_22261,plain,
! [X0: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15532,c_753]) ).
tcf(c_22262,plain,
! [X0: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15604,c_753]) ).
tcf(c_22263,plain,
! [X0: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15675,c_753]) ).
tcf(c_22264,plain,
! [X0: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15863,c_753]) ).
tcf(c_22265,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_842,c_753]) ).
tcf(c_22266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_838,c_753]) ).
tcf(c_22269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11562,c_753]) ).
tcf(c_22270,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Osynth(X2),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11567,c_753]) ).
tcf(c_22271,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1))),c_Message_Oparts(c_Event_Oused(X2)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1))),c_Event_Oused(X2),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11570,c_753]) ).
tcf(c_22272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11571,c_753]) ).
tcf(c_22273,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1))),c_Message_Oparts(c_Event_Oknows(X1,X2)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1))),c_Event_Oknows(X1,X2),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11573,c_753]) ).
tcf(c_22274,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11578,c_753]) ).
tcf(c_22275,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11579,c_753]) ).
tcf(c_22276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11630,c_753]) ).
tcf(c_22277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11656,c_753]) ).
tcf(c_22278,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11754,c_753]) ).
tcf(c_22279,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11756,c_753]) ).
tcf(c_22280,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11865,c_753]) ).
tcf(c_22281,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(v_NA)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(v_NA)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11866,c_753]) ).
tcf(c_22282,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11898,c_753]) ).
tcf(c_22283,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(v_B)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(v_B)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11903,c_753]) ).
tcf(c_22284,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11904,c_753]) ).
tcf(c_22285,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_X),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11965,c_753]) ).
tcf(c_22286,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_11972,c_753]) ).
tcf(c_22287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12328,c_753]) ).
tcf(c_22288,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X2))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oanalz(c_Message_Osynth(X2)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12329,c_753]) ).
tcf(c_22289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12369,c_753]) ).
tcf(c_22290,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(X2))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12370,c_753]) ).
tcf(c_22291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12409,c_753]) ).
tcf(c_22292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_12672,c_753]) ).
tcf(c_22293,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_13196,c_753]) ).
tcf(c_22294,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_753]) ).
tcf(c_22295,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(X1)),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_753]) ).
tcf(c_22296,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Event_Oused(v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16206,c_753]) ).
tcf(c_22297,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_Event_Oused(v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16216,c_753]) ).
tcf(c_22298,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(v_Aa)),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(v_Aa)),c_Event_Oused(v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16217,c_753]) ).
tcf(c_22299,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(v_Ba)),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OAgent(v_Ba)),c_Event_Oused(v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16632,c_753]) ).
tcf(c_22300,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(v_NAa)),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(v_NAa)),c_Event_Oused(v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16633,c_753]) ).
tcf(c_22301,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16640,c_753]) ).
tcf(c_22302,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16645,c_753]) ).
tcf(c_22303,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16651,c_753]) ).
tcf(c_22304,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_Event_Oknows(v_S,v_evs3),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16653,c_753]) ).
tcf(c_22305,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_753]) ).
tcf(c_22306,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_753]) ).
tcf(c_22307,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_19171]) ).
tcf(c_22308,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_18840]) ).
tcf(c_22309,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_753,c_1029]) ).
tcf(c_22310,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_753,c_864]) ).
tcf(c_22311,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_12879]) ).
tcf(c_22312,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_12878]) ).
tcf(c_22313,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_12875]) ).
tcf(c_22314,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_753,c_824]) ).
tcf(c_22315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ( c_Message_Omsg_OCrypt(X1,X2) = X0 )
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_753,c_843]) ).
tcf(c_22317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_753,c_847]) ).
tcf(c_22318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_753,c_845]) ).
tcf(c_22319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_753,c_846]) ).
tcf(c_22320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_Message_Omsg_OCrypt(X0,X1),X3,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_753,c_853]) ).
tcf(c_22321,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_753,c_842]) ).
tcf(c_22322,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_753,c_1051]) ).
tcf(c_22323,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_841]) ).
tcf(c_22324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(X1,X2)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OCrypt(X1,X2)),c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_753,c_753]) ).
tcf(c_22325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_753,c_862]) ).
tcf(c_22326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_753,c_814]) ).
tcf(c_22327,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_753,c_850]) ).
tcf(c_22328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oinsert(X2,c_Message_Oparts(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X2,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_838]) ).
tcf(c_22329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oinsert(X2,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_12877]) ).
tcf(c_22330,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_753,c_864]) ).
tcf(c_22331,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_13016]) ).
tcf(c_22336,plain,
! [X0: $i] : c_in(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_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_13581]) ).
tcf(c_22337,plain,
! [X0: $i] : c_in(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_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_13451]) ).
tcf(c_22338,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_13226]) ).
tcf(c_22339,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_13450]) ).
tcf(c_22340,plain,
! [X0: $i] : c_in(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_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,v_Xa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_13446]) ).
tcf(c_22349,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),
inference(light_normalisation,[status(thm)],[c_22265,c_753]) ).
tcf(c_22611,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),
inference(superposition,[status(thm)],[c_21326,c_836]) ).
tcf(c_22612,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(c_Event_Oused(v_evs3))),
inference(superposition,[status(thm)],[c_21326,c_815]) ).
tcf(c_22623,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_842,c_17578]) ).
tcf(c_22624,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,c_Set_Oinsert(X2,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_838,c_17578]) ).
tcf(c_22626,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_753,c_17578]) ).
tcf(c_22627,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11562,c_17578]) ).
tcf(c_22628,plain,
! [X0: $i] : c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11567,c_17578]) ).
tcf(c_22629,plain,
! [X0: $i] : c_lessequals(c_Event_Oused(X0),c_Message_Osynth(c_Event_Oused(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11570,c_17578]) ).
tcf(c_22630,plain,
! [X0: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11571,c_17578]) ).
tcf(c_22631,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Event_Oknows(X0,X1),c_Message_Osynth(c_Event_Oknows(X0,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11573,c_17578]) ).
tcf(c_22634,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11630,c_17578]) ).
tcf(c_22635,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11656,c_17578]) ).
tcf(c_22636,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11754,c_17578]) ).
tcf(c_22645,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12328,c_17578]) ).
tcf(c_22646,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12329,c_17578]) ).
tcf(c_22647,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12369,c_17578]) ).
tcf(c_22648,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12370,c_17578]) ).
tcf(c_22649,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12409,c_17578]) ).
tcf(c_22650,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12672,c_17578]) ).
tcf(c_22651,plain,
c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13196,c_17578]) ).
tcf(c_22652,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_14011,c_17578]) ).
tcf(c_22653,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15979,c_17578]) ).
tcf(c_22654,plain,
c_lessequals(c_Event_Oused(v_evs3),c_Message_Osynth(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16206,c_17578]) ).
tcf(c_22660,plain,
c_lessequals(c_Event_Oknows(v_Aa,v_evs3),c_Message_Osynth(c_Event_Oknows(v_Aa,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16645,c_17578]) ).
tcf(c_22661,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16651,c_17578]) ).
tcf(c_22662,plain,
c_lessequals(c_Event_Oknows(v_S,v_evs3),c_Message_Osynth(c_Event_Oknows(v_S,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16653,c_17578]) ).
tcf(c_22663,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_18401,c_17578]) ).
tcf(c_22664,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_21639,c_17578]) ).
tcf(c_22665,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = X1 )
| ~ c_lessequals(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_17578,c_1005]) ).
tcf(c_22666,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_17578,c_1003]) ).
tcf(c_22667,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_17578,c_1002]) ).
tcf(c_22668,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_17578,c_995]) ).
tcf(c_22669,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,c_Message_Osynth(X0),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17578,c_1025]) ).
tcf(c_22670,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17578,c_994]) ).
tcf(c_22671,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17578,c_993]) ).
tcf(c_22672,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17578,c_846]) ).
tcf(c_22674,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17578,c_14173]) ).
tcf(c_22675,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17578,c_14146]) ).
tcf(c_22676,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Osynth(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17578,c_14128]) ).
tcf(c_22677,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17578,c_12896]) ).
tcf(c_22700,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X0),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_17583]) ).
tcf(c_22701,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X0),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_17583]) ).
tcf(c_22702,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X0),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_17583]) ).
tcf(c_22704,plain,
c_lessequals(c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_17583]) ).
tcf(c_22705,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_17583]) ).
tcf(c_22706,plain,
c_lessequals(c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_17583]) ).
tcf(c_22707,plain,
c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_17583]) ).
tcf(c_22708,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_842,c_17583]) ).
tcf(c_22709,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X2,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_838,c_17583]) ).
tcf(c_22711,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_753,c_17583]) ).
tcf(c_22712,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11562,c_17583]) ).
tcf(c_22714,plain,
! [X0: $i] : c_lessequals(c_Event_Oused(X0),c_Message_Oparts(c_Event_Oused(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11570,c_17583]) ).
tcf(c_22715,plain,
! [X0: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11571,c_17583]) ).
tcf(c_22716,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Event_Oknows(X0,X1),c_Message_Oparts(c_Event_Oknows(X0,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11573,c_17583]) ).
tcf(c_22719,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11630,c_17583]) ).
tcf(c_22720,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11656,c_17583]) ).
tcf(c_22721,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11754,c_17583]) ).
tcf(c_22730,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12328,c_17583]) ).
tcf(c_22731,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12329,c_17583]) ).
tcf(c_22732,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12369,c_17583]) ).
tcf(c_22733,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12370,c_17583]) ).
tcf(c_22734,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12409,c_17583]) ).
tcf(c_22735,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12672,c_17583]) ).
tcf(c_22736,plain,
c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13196,c_17583]) ).
tcf(c_22737,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_14011,c_17583]) ).
tcf(c_22738,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15979,c_17583]) ).
tcf(c_22739,plain,
c_lessequals(c_Event_Oused(v_evs3),c_Message_Oparts(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16206,c_17583]) ).
tcf(c_22745,plain,
c_lessequals(c_Event_Oknows(v_Aa,v_evs3),c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16645,c_17583]) ).
tcf(c_22746,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16651,c_17583]) ).
tcf(c_22747,plain,
c_lessequals(c_Event_Oknows(v_S,v_evs3),c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16653,c_17583]) ).
tcf(c_22748,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_18401,c_17583]) ).
tcf(c_22749,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_21639,c_17583]) ).
tcf(c_22750,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = X1 )
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_17583,c_1005]) ).
tcf(c_22751,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_17583,c_1003]) ).
tcf(c_22752,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_17583,c_1002]) ).
tcf(c_22753,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_17583,c_995]) ).
tcf(c_22754,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17583,c_994]) ).
tcf(c_22755,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17583,c_993]) ).
tcf(c_22756,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17583,c_846]) ).
tcf(c_22758,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Message_Oparts(X0),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17583,c_870]) ).
tcf(c_22759,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17583,c_14173]) ).
tcf(c_22760,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17583,c_14146]) ).
tcf(c_22761,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17583,c_14128]) ).
tcf(c_22811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20427]) ).
tcf(c_22813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20427]) ).
tcf(c_22814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20427]) ).
tcf(c_22815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20427]) ).
tcf(c_22816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20427]) ).
tcf(c_22819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20427]) ).
tcf(c_22821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X4) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20427,c_1005]) ).
tcf(c_22822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20427,c_1003]) ).
tcf(c_22823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20427,c_1002]) ).
tcf(c_22824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20427,c_995]) ).
tcf(c_22890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20428]) ).
tcf(c_22892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20428]) ).
tcf(c_22893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20428]) ).
tcf(c_22894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20428]) ).
tcf(c_22895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20428]) ).
tcf(c_22898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20428]) ).
tcf(c_22900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X4) )
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20428,c_1005]) ).
tcf(c_22901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20428,c_1003]) ).
tcf(c_22902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20428,c_1002]) ).
tcf(c_22903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20428,c_995]) ).
tcf(c_22917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20883]) ).
tcf(c_22919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20883]) ).
tcf(c_22920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20883]) ).
tcf(c_22921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20883]) ).
tcf(c_22922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20883,c_1005]) ).
tcf(c_22923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20883,c_1003]) ).
tcf(c_22924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20883,c_1002]) ).
tcf(c_22925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20883,c_995]) ).
tcf(c_22938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20884]) ).
tcf(c_22940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20884]) ).
tcf(c_22941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20884]) ).
tcf(c_22942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20884]) ).
tcf(c_22943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20884,c_1005]) ).
tcf(c_22944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20884,c_1003]) ).
tcf(c_22945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20884,c_1002]) ).
tcf(c_22946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20884,c_995]) ).
tcf(c_22959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20900]) ).
tcf(c_22961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20900]) ).
tcf(c_22962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20900]) ).
tcf(c_22963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20900]) ).
tcf(c_22964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20900,c_1005]) ).
tcf(c_22965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20900,c_1003]) ).
tcf(c_22966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20900,c_1002]) ).
tcf(c_22967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20900,c_995]) ).
tcf(c_23063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20901]) ).
tcf(c_23065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20901]) ).
tcf(c_23066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20901]) ).
tcf(c_23067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20901]) ).
tcf(c_23068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20901,c_1005]) ).
tcf(c_23069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20901,c_1003]) ).
tcf(c_23070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20901,c_1002]) ).
tcf(c_23071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20901,c_995]) ).
tcf(c_23084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20930]) ).
tcf(c_23086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20930]) ).
tcf(c_23087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20930]) ).
tcf(c_23088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20930]) ).
tcf(c_23089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20930,c_1005]) ).
tcf(c_23090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20930,c_1003]) ).
tcf(c_23091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20930,c_1002]) ).
tcf(c_23092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20930,c_995]) ).
tcf(c_23157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20931]) ).
tcf(c_23159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20931]) ).
tcf(c_23160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20931]) ).
tcf(c_23161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20931]) ).
tcf(c_23162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20931,c_1005]) ).
tcf(c_23163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20931,c_1003]) ).
tcf(c_23164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20931,c_1002]) ).
tcf(c_23165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20931,c_995]) ).
tcf(c_23184,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1024,c_783]) ).
tcf(c_23185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg) = c_Message_Osynth(X1) )
| ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_783,c_836]) ).
tcf(c_23186,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_783,c_11844]) ).
tcf(c_23187,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_783,c_11820]) ).
tcf(c_23188,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_783,c_11802]) ).
tcf(c_23189,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_783,c_11775]) ).
tcf(c_23190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X1)) )
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_783,c_1006]) ).
tcf(c_23225,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_12875,c_784]) ).
tcf(c_23226,plain,
! [X0: $i] :
( c_in(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_Osynth(X0),tc_Message_Omsg)
| c_in(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))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_784]) ).
tcf(c_23242,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_12875,c_785]) ).
tcf(c_23243,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(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))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12897,c_785]) ).
tcf(c_23258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X2,c_Message_Oanalz(X0),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)) )
| ( c_Message_Oanalz(X0) != c_Message_Oanalz(X1) ) ),
inference(superposition,[status(thm)],[c_821,c_822]) ).
tcf(c_23262,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)) )
| ( c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Message_Oanalz(X0) ) ),
inference(superposition,[status(thm)],[c_1043,c_822]) ).
tcf(c_23263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X3,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)) )
| ( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) != c_Message_Oanalz(X2) ) ),
inference(superposition,[status(thm)],[c_826,c_822]) ).
tcf(c_23264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X2,c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)) )
| ( c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg) != c_Message_Oanalz(X1) ) ),
inference(superposition,[status(thm)],[c_961,c_822]) ).
tcf(c_23265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X2,c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X0,tc_Message_Omsg)) )
| ( c_Message_Oanalz(X0) != c_Message_Oanalz(X1) ) ),
inference(superposition,[status(thm)],[c_821,c_822]) ).
tcf(c_23266,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X2,c_Message_Oparts(X0),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)) )
| ( c_Message_Oparts(X0) != c_Message_Oanalz(X1) ) ),
inference(superposition,[status(thm)],[c_818,c_822]) ).
tcf(c_23267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X3,c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)) )
| ( c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg) != c_Message_Oanalz(X2) ) ),
inference(superposition,[status(thm)],[c_799,c_822]) ).
tcf(c_23268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X3,c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)) )
| ( c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg) != c_Message_Oanalz(X2) ) ),
inference(superposition,[status(thm)],[c_786,c_822]) ).
tcf(c_23293,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X0),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_17584]) ).
tcf(c_23294,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X0),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_17584]) ).
tcf(c_23295,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_842,c_17584]) ).
tcf(c_23296,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Set_Oinsert(X0,X1,tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X2,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_838,c_17584]) ).
tcf(c_23298,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_753,c_17584]) ).
tcf(c_23299,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11562,c_17584]) ).
tcf(c_23301,plain,
! [X0: $i] : c_lessequals(c_Event_Oused(X0),c_Message_Oanalz(c_Event_Oused(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11570,c_17584]) ).
tcf(c_23302,plain,
! [X0: $i] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11571,c_17584]) ).
tcf(c_23303,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Event_Oknows(X0,X1),c_Message_Oanalz(c_Event_Oknows(X0,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11573,c_17584]) ).
tcf(c_23306,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11630,c_17584]) ).
tcf(c_23307,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11656,c_17584]) ).
tcf(c_23308,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11754,c_17584]) ).
tcf(c_23317,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12328,c_17584]) ).
tcf(c_23318,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12329,c_17584]) ).
tcf(c_23319,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12369,c_17584]) ).
tcf(c_23320,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12370,c_17584]) ).
tcf(c_23321,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12409,c_17584]) ).
tcf(c_23322,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_12672,c_17584]) ).
tcf(c_23323,plain,
c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13196,c_17584]) ).
tcf(c_23324,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_14011,c_17584]) ).
tcf(c_23325,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15979,c_17584]) ).
tcf(c_23326,plain,
c_lessequals(c_Event_Oused(v_evs3),c_Message_Oanalz(c_Event_Oused(v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16206,c_17584]) ).
tcf(c_23332,plain,
c_lessequals(c_Event_Oknows(v_Aa,v_evs3),c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16645,c_17584]) ).
tcf(c_23333,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16651,c_17584]) ).
tcf(c_23334,plain,
c_lessequals(c_Event_Oknows(v_S,v_evs3),c_Message_Oanalz(c_Event_Oknows(v_S,v_evs3)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_16653,c_17584]) ).
tcf(c_23335,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_18401,c_17584]) ).
tcf(c_23336,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_21639,c_17584]) ).
tcf(c_23337,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = X1 )
| ~ c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_17584,c_1005]) ).
tcf(c_23338,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_17584,c_1003]) ).
tcf(c_23339,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_17584,c_1002]) ).
tcf(c_23340,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_17584,c_995]) ).
tcf(c_23341,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17584,c_994]) ).
tcf(c_23342,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17584,c_993]) ).
tcf(c_23343,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Oanalz(X0),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17584,c_828]) ).
tcf(c_23344,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_17584,c_846]) ).
tcf(c_23346,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17584,c_14173]) ).
tcf(c_23347,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17584,c_14146]) ).
tcf(c_23348,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17584,c_14128]) ).
tcf(c_23349,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_17584,c_12896]) ).
tcf(c_23401,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_799,c_19196]) ).
tcf(c_23402,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_786,c_19196]) ).
tcf(c_23404,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_19196]) ).
tcf(c_23406,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_19196]) ).
tcf(c_23407,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_19196]) ).
tcf(c_23409,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(X1)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_19196]) ).
tcf(c_23411,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(X0,X1)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11573,c_19196]) ).
tcf(c_23412,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11578,c_19196]) ).
tcf(c_23414,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_19196]) ).
tcf(c_23415,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_19196]) ).
tcf(c_23417,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11756,c_19196]) ).
tcf(c_23418,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11865,c_19196]) ).
tcf(c_23419,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11866,c_19196]) ).
tcf(c_23420,plain,
c_in(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_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_19196]) ).
tcf(c_23421,plain,
c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11903,c_19196]) ).
tcf(c_23422,plain,
c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_19196]) ).
tcf(c_23423,plain,
c_in(v_X,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11965,c_19196]) ).
tcf(c_23424,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11972,c_19196]) ).
tcf(c_23425,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_19196]) ).
tcf(c_23426,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X1))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12329,c_19196]) ).
tcf(c_23427,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_19196]) ).
tcf(c_23428,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X1))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12370,c_19196]) ).
tcf(c_23429,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_19196]) ).
tcf(c_23430,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_19196]) ).
tcf(c_23431,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13196,c_19196]) ).
tcf(c_23432,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_19196]) ).
tcf(c_23433,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_19196]) ).
tcf(c_23434,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_19196]) ).
tcf(c_23435,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_19196]) ).
tcf(c_23436,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16217,c_19196]) ).
tcf(c_23437,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16632,c_19196]) ).
tcf(c_23438,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16633,c_19196]) ).
tcf(c_23439,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_19196]) ).
tcf(c_23440,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_19196]) ).
tcf(c_23441,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_19196]) ).
tcf(c_23442,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(v_S,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_19196]) ).
tcf(c_23443,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_19196]) ).
tcf(c_23444,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_19196]) ).
tcf(c_23445,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19196,c_11690]) ).
tcf(c_23446,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_19196,c_836]) ).
tcf(c_23447,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19196,c_11844]) ).
tcf(c_23448,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19196,c_11820]) ).
tcf(c_23449,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19196,c_11802]) ).
tcf(c_23450,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19196,c_11775]) ).
tcf(c_23451,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_19196,c_815]) ).
tcf(c_23453,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19196,c_777]) ).
tcf(c_23454,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19196,c_776]) ).
tcf(c_23455,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_23402,c_22163]) ).
tcf(c_23501,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),
inference(superposition,[status(thm)],[c_23438,c_836]) ).
tcf(c_23502,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3))),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),
inference(superposition,[status(thm)],[c_23438,c_815]) ).
tcf(c_23503,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_23438,c_813]) ).
tcf(c_23530,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),
inference(superposition,[status(thm)],[c_23503,c_836]) ).
tcf(c_23531,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3))),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),
inference(superposition,[status(thm)],[c_23503,c_860]) ).
tcf(c_23533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_20999]) ).
tcf(c_23535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_20999]) ).
tcf(c_23536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_20999]) ).
tcf(c_23537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_20999]) ).
tcf(c_23538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_20999,c_1005]) ).
tcf(c_23539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20999,c_1003]) ).
tcf(c_23540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_20999,c_1002]) ).
tcf(c_23541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20999,c_995]) ).
tcf(c_23554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_21000]) ).
tcf(c_23556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_21000]) ).
tcf(c_23557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_21000]) ).
tcf(c_23558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_21000]) ).
tcf(c_23559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21000,c_1005]) ).
tcf(c_23560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21000,c_1003]) ).
tcf(c_23561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21000,c_1002]) ).
tcf(c_23562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21000,c_995]) ).
tcf(c_23601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_21016]) ).
tcf(c_23603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_21016]) ).
tcf(c_23604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_21016]) ).
tcf(c_23605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_21016]) ).
tcf(c_23606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21016,c_1005]) ).
tcf(c_23607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21016,c_1003]) ).
tcf(c_23608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21016,c_1002]) ).
tcf(c_23609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21016,c_995]) ).
tcf(c_23622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_21017]) ).
tcf(c_23624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_21017]) ).
tcf(c_23625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_21017]) ).
tcf(c_23626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_21017]) ).
tcf(c_23627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21017,c_1005]) ).
tcf(c_23628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21017,c_1003]) ).
tcf(c_23629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21017,c_1002]) ).
tcf(c_23630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21017,c_995]) ).
tcf(c_23666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_21033]) ).
tcf(c_23668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_21033]) ).
tcf(c_23669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_21033]) ).
tcf(c_23670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_21033]) ).
tcf(c_23671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21033,c_1005]) ).
tcf(c_23672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21033,c_1003]) ).
tcf(c_23673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21033,c_1002]) ).
tcf(c_23674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21033,c_995]) ).
tcf(c_23687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_21034]) ).
tcf(c_23689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_21034]) ).
tcf(c_23690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_21034]) ).
tcf(c_23691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_21034]) ).
tcf(c_23692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21034,c_1005]) ).
tcf(c_23693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21034,c_1003]) ).
tcf(c_23694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21034,c_1002]) ).
tcf(c_23695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21034,c_995]) ).
tcf(c_23708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_21050]) ).
tcf(c_23710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_21050]) ).
tcf(c_23711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_21050]) ).
tcf(c_23712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_21050]) ).
tcf(c_23713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21050,c_1005]) ).
tcf(c_23714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21050,c_1003]) ).
tcf(c_23715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21050,c_1002]) ).
tcf(c_23716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21050,c_995]) ).
tcf(c_23768,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_992,c_832]) ).
tcf(c_23769,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(c_Message_Oanalz(X0)),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_829,c_832]) ).
tcf(c_23770,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4358,c_832]) ).
tcf(c_23772,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_824,c_832]) ).
tcf(c_23773,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_12143,c_832]) ).
tcf(c_23775,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_16524,c_832]) ).
tcf(c_23777,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1043,c_832]) ).
tcf(c_23778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_826,c_832]) ).
tcf(c_23779,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_961,c_832]) ).
tcf(c_23780,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_821,c_832]) ).
tcf(c_23781,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Message_Oparts(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_818,c_832]) ).
tcf(c_23782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_799,c_832]) ).
tcf(c_23783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_786,c_832]) ).
tcf(c_23802,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_23777,c_1043]) ).
tcf(c_23803,plain,
! [X0: $i,X1: $i] :
( ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23802,c_1054]) ).
tcf(c_23830,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1043,c_835]) ).
tcf(c_23831,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_835]) ).
tcf(c_23832,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_961,c_835]) ).
tcf(c_23833,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_821,c_835]) ).
tcf(c_23834,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_818,c_835]) ).
tcf(c_23835,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_835]) ).
tcf(c_23836,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_835]) ).
tcf(c_23837,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1043,c_835]) ).
tcf(c_23838,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_835]) ).
tcf(c_23839,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_961,c_835]) ).
tcf(c_23840,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_821,c_835]) ).
tcf(c_23841,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_818,c_835]) ).
tcf(c_23842,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_835]) ).
tcf(c_23843,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_835]) ).
tcf(c_23844,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_835]) ).
tcf(c_23845,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_List_Oset(X0,tc_Message_Omsg)),c_Message_Oanalz(c_List_Oset(X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_736,c_835]) ).
tcf(c_23847,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1067,c_835]) ).
tcf(c_23848,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1066,c_835]) ).
tcf(c_23849,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1072,c_835]) ).
tcf(c_23850,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oparts(X0)),c_Message_Oanalz(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_875,c_835]) ).
tcf(c_23851,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1076,c_835]) ).
tcf(c_23852,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oparts(X0)),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_882,c_835]) ).
tcf(c_23853,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1023,c_835]) ).
tcf(c_23854,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_3975,c_835]) ).
tcf(c_23855,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11398,c_835]) ).
tcf(c_23856,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) )
| ~ c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_835,c_1005]) ).
tcf(c_23857,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_835,c_1003]) ).
tcf(c_23858,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_835,c_1002]) ).
tcf(c_23859,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_835,c_995]) ).
tcf(c_23860,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_835,c_994]) ).
tcf(c_23861,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_835,c_993]) ).
tcf(c_23862,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_835,c_832]) ).
tcf(c_23863,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_23848,c_1043]) ).
tcf(c_23864,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_23847,c_1043]) ).
tcf(c_23866,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_23852,c_818]) ).
tcf(c_23872,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oanalz(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_23850,c_818]) ).
tcf(c_23876,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_23831,c_19833]) ).
tcf(c_23942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X3,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_842,c_851]) ).
tcf(c_23943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(c_Set_Oinsert(X0,c_Set_Oinsert(X4,X1,X2),X2),c_Set_Oinsert(X4,X3,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_838,c_851]) ).
tcf(c_23945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X3,X0),X1,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X3,X0),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_753,c_851]) ).
tcf(c_23946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3),X4,tc_fun(X3,tc_bool)) ),
inference(superposition,[status(thm)],[c_11562,c_851]) ).
tcf(c_23947,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Osynth(X0),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11567,c_851]) ).
tcf(c_23948,plain,
! [X0: $i] :
( c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),X0,tc_List_Olist(tc_Event_Oevent)),tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| ~ c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_11569,c_851]) ).
tcf(c_23949,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Event_Oused(X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oused(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11570,c_851]) ).
tcf(c_23950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11571,c_851]) ).
tcf(c_23951,plain,
! [X0: $i] :
( c_lessequals(c_Event_Obad,c_Set_Oinsert(c_Message_Oagent_OSpy,X0,tc_Message_Oagent),tc_fun(tc_Message_Oagent,tc_bool))
| ~ c_lessequals(c_Event_Obad,X0,tc_fun(tc_Message_Oagent,tc_bool)) ),
inference(superposition,[status(thm)],[c_11572,c_851]) ).
tcf(c_23952,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Event_Oknows(X0,X1),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oknows(X0,X1),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11573,c_851]) ).
tcf(c_23953,plain,
! [X0: $i] :
( c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,c_Set_Oinsert(v_evs3,X0,tc_List_Olist(tc_Event_Oevent)),tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| ~ c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_11575,c_851]) ).
tcf(c_23954,plain,
! [X0: $i] :
( c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_Set_Oinsert(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool))
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),X0,tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_11576,c_851]) ).
tcf(c_23955,plain,
! [X0: $i] :
( c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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)))),X0,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool))
| ~ c_lessequals(c_List_Oset(v_evs3,tc_Event_Oevent),X0,tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_11577,c_851]) ).
tcf(c_23956,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(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)))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11578,c_851]) ).
tcf(c_23957,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11579,c_851]) ).
tcf(c_23958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11630,c_851]) ).
tcf(c_23959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11656,c_851]) ).
tcf(c_23960,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11754,c_851]) ).
tcf(c_23961,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(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))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11756,c_851]) ).
tcf(c_23962,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11865,c_851]) ).
tcf(c_23963,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11866,c_851]) ).
tcf(c_23964,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11898,c_851]) ).
tcf(c_23965,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11903,c_851]) ).
tcf(c_23966,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11904,c_851]) ).
tcf(c_23967,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(v_X,X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11965,c_851]) ).
tcf(c_23968,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11972,c_851]) ).
tcf(c_23969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X3,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12328,c_851]) ).
tcf(c_23970,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12329,c_851]) ).
tcf(c_23971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X3,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12369,c_851]) ).
tcf(c_23972,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12370,c_851]) ).
tcf(c_23973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X3,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12409,c_851]) ).
tcf(c_23974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X3,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Oappend(X0,c_List_Olist_OCons(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12672,c_851]) ).
tcf(c_23975,plain,
! [X0: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13196,c_851]) ).
tcf(c_23976,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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)))),X1,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),X1,tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_13519,c_851]) ).
tcf(c_23977,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg))),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_14011,c_851]) ).
tcf(c_23978,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg))),c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15979,c_851]) ).
tcf(c_23979,plain,
! [X0: $i] :
( c_lessequals(c_Event_Oused(v_evs3),c_Set_Oinsert(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))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oused(v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16206,c_851]) ).
tcf(c_23980,plain,
! [X0: $i] :
( c_lessequals(c_Event_Oused(v_evs3),c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oused(v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16216,c_851]) ).
tcf(c_23981,plain,
! [X0: $i] :
( c_lessequals(c_Event_Oused(v_evs3),c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oused(v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16217,c_851]) ).
tcf(c_23982,plain,
! [X0: $i] :
( c_lessequals(c_Event_Oused(v_evs3),c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oused(v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16632,c_851]) ).
tcf(c_23983,plain,
! [X0: $i] :
( c_lessequals(c_Event_Oused(v_evs3),c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oused(v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16633,c_851]) ).
tcf(c_23984,plain,
! [X0: $i] :
( c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),c_Set_Oinsert(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))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16640,c_851]) ).
tcf(c_23985,plain,
! [X0: $i] :
( c_lessequals(c_Event_Oknows(v_Aa,v_evs3),c_Set_Oinsert(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))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oknows(v_Aa,v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16645,c_851]) ).
tcf(c_23986,plain,
! [X0: $i] :
( c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16651,c_851]) ).
tcf(c_23987,plain,
! [X0: $i] :
( c_lessequals(c_Event_Oknows(v_S,v_evs3),c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oknows(v_S,v_evs3),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16653,c_851]) ).
tcf(c_23988,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg))),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_18401,c_851]) ).
tcf(c_23989,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg))),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21639,c_851]) ).
tcf(c_23990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(X1,X0,X3),c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(superposition,[status(thm)],[c_842,c_851]) ).
tcf(c_23991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(c_Set_Oinsert(X4,X0,X3),c_Set_Oinsert(X1,c_Set_Oinsert(X4,X2,X3),X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(superposition,[status(thm)],[c_838,c_851]) ).
tcf(c_23993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X3,X1),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_753,c_851]) ).
tcf(c_23994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(c_Set_Oinsert(X2,X0,X4),c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X0,c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4),tc_fun(X4,tc_bool)) ),
inference(superposition,[status(thm)],[c_11562,c_851]) ).
tcf(c_23995,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X0,tc_Message_Omsg),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11567,c_851]) ).
tcf(c_23996,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),X0,tc_List_Olist(tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| ~ c_lessequals(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_11569,c_851]) ).
tcf(c_23997,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),X0,tc_Message_Omsg),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11570,c_851]) ).
tcf(c_23998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),X0,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11571,c_851]) ).
tcf(c_23999,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Oagent_OSpy,X0,tc_Message_Oagent),c_Event_Obad,tc_fun(tc_Message_Oagent,tc_bool))
| ~ c_lessequals(X0,c_Event_Obad,tc_fun(tc_Message_Oagent,tc_bool)) ),
inference(superposition,[status(thm)],[c_11572,c_851]) ).
tcf(c_24000,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),X0,tc_Message_Omsg),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11573,c_851]) ).
tcf(c_24001,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(v_evs3,X0,tc_List_Olist(tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| ~ c_lessequals(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_11575,c_851]) ).
tcf(c_24002,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),X0,tc_Event_Oevent),c_List_Oset(v_evs3,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool))
| ~ c_lessequals(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_11576,c_851]) ).
tcf(c_24003,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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)))),X0,tc_Event_Oevent),c_List_Oset(v_evs3,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool))
| ~ c_lessequals(X0,c_List_Oset(v_evs3,tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_11577,c_851]) ).
tcf(c_24004,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(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)))),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11578,c_851]) ).
tcf(c_24005,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11579,c_851]) ).
tcf(c_24006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),X0,tc_Message_Omsg),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11630,c_851]) ).
tcf(c_24007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),X0,tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11656,c_851]) ).
tcf(c_24008,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11754,c_851]) ).
tcf(c_24009,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(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))),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11756,c_851]) ).
tcf(c_24010,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11865,c_851]) ).
tcf(c_24011,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11866,c_851]) ).
tcf(c_24012,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11898,c_851]) ).
tcf(c_24013,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11903,c_851]) ).
tcf(c_24014,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11904,c_851]) ).
tcf(c_24015,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(v_X,X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11965,c_851]) ).
tcf(c_24016,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X0,tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_11972,c_851]) ).
tcf(c_24017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X0,tc_Message_Omsg),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12328,c_851]) ).
tcf(c_24018,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X0,tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12329,c_851]) ).
tcf(c_24019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X0,tc_Message_Omsg),c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12369,c_851]) ).
tcf(c_24020,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X0,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12370,c_851]) ).
tcf(c_24021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X0,tc_Message_Omsg),c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12409,c_851]) ).
tcf(c_24022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X0,tc_Message_Omsg),c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12672,c_851]) ).
tcf(c_24023,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13196,c_851]) ).
tcf(c_24024,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Set_Oinsert(c_Event_Oevent_OSays(v_Aa,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)))),X0,tc_Event_Oevent),c_Set_Oinsert(X1,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(X1,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),tc_fun(tc_Event_Oevent,tc_bool)) ),
inference(superposition,[status(thm)],[c_13519,c_851]) ).
tcf(c_24025,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X0,tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_14011,c_851]) ).
tcf(c_24026,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X0,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15979,c_851]) ).
tcf(c_24027,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(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))),X0,tc_Message_Omsg),c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16206,c_851]) ).
tcf(c_24028,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),X0,tc_Message_Omsg),c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16216,c_851]) ).
tcf(c_24029,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Aa),X0,tc_Message_Omsg),c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16217,c_851]) ).
tcf(c_24030,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(v_Ba),X0,tc_Message_Omsg),c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16632,c_851]) ).
tcf(c_24031,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),X0,tc_Message_Omsg),c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oused(v_evs3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16633,c_851]) ).
tcf(c_24032,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(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))),X0,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16640,c_851]) ).
tcf(c_24033,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(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))),X0,tc_Message_Omsg),c_Event_Oknows(v_Aa,v_evs3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oknows(v_Aa,v_evs3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16645,c_851]) ).
tcf(c_24034,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),X0,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16651,c_851]) ).
tcf(c_24035,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),X0,tc_Message_Omsg),c_Event_Oknows(v_S,v_evs3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Event_Oknows(v_S,v_evs3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_16653,c_851]) ).
tcf(c_24036,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X0,tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_18401,c_851]) ).
tcf(c_24037,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X0,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21639,c_851]) ).
tcf(c_24038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = c_Set_Oinsert(X0,X3,X2) )
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X3,X2),tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_851,c_1005]) ).
tcf(c_24039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X3,X0,X2),c_Set_Oinsert(X3,X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X3,X1,X2) )
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_851,c_1003]) ).
tcf(c_24040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X3,X1,X2),c_Set_Oinsert(X3,X0,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X3,X1,X2) )
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_851,c_1002]) ).
tcf(c_24041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Set_Oinsert(X1,X4,X3),X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X0,c_Set_Oinsert(X1,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_851,c_995]) ).
tcf(c_24043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,c_Set_Oinsert(X3,X1,X2),X2)
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(superposition,[status(thm)],[c_851,c_853]) ).
tcf(c_24491,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1063,c_877]) ).
tcf(c_24492,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_992,c_877]) ).
tcf(c_24493,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4356,c_877]) ).
tcf(c_24494,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_831,c_877]) ).
tcf(c_24496,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(c_Message_Oparts(X0)),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_871,c_877]) ).
tcf(c_24497,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_864,c_877]) ).
tcf(c_24498,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_11926,c_877]) ).
tcf(c_24499,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_11945,c_877]) ).
tcf(c_24500,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15468,c_877]) ).
tcf(c_24501,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15470,c_877]) ).
tcf(c_24502,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15471,c_877]) ).
tcf(c_24503,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_15481,c_877]) ).
tcf(c_24507,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X1))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_17814,c_877]) ).
tcf(c_24508,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_872,c_877]) ).
tcf(c_24509,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_968,c_877]) ).
tcf(c_24510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_767,c_877]) ).
tcf(c_24511,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oparts(c_Message_Oanalz(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_820,c_877]) ).
tcf(c_24512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_802,c_877]) ).
tcf(c_24513,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_859,c_877]) ).
tcf(c_24514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_789,c_877]) ).
tcf(c_24515,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15461,c_877]) ).
tcf(c_24516,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15532,c_877]) ).
tcf(c_24517,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15604,c_877]) ).
tcf(c_24518,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15675,c_877]) ).
tcf(c_24519,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15863,c_877]) ).
tcf(c_24530,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_24491,c_872]) ).
tcf(c_24543,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_24508,c_872]) ).
tcf(c_24544,plain,
! [X0: $i,X1: $i] :
( ~ c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24543,c_1054]) ).
tcf(c_24566,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_24517,c_15604]) ).
tcf(c_24605,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_799,c_19960]) ).
tcf(c_24606,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_786,c_19960]) ).
tcf(c_24608,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_19960]) ).
tcf(c_24610,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_19960]) ).
tcf(c_24611,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_19960]) ).
tcf(c_24613,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(X1)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_19960]) ).
tcf(c_24615,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(X0,X1)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11573,c_19960]) ).
tcf(c_24616,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11578,c_19960]) ).
tcf(c_24618,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_19960]) ).
tcf(c_24619,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_19960]) ).
tcf(c_24621,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11756,c_19960]) ).
tcf(c_24622,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11865,c_19960]) ).
tcf(c_24623,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11866,c_19960]) ).
tcf(c_24624,plain,
c_in(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_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_19960]) ).
tcf(c_24625,plain,
c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11903,c_19960]) ).
tcf(c_24626,plain,
c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_19960]) ).
tcf(c_24627,plain,
c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11965,c_19960]) ).
tcf(c_24628,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11972,c_19960]) ).
tcf(c_24629,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_19960]) ).
tcf(c_24630,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(X1))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12329,c_19960]) ).
tcf(c_24631,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_19960]) ).
tcf(c_24632,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(X1))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12370,c_19960]) ).
tcf(c_24633,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_19960]) ).
tcf(c_24634,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_19960]) ).
tcf(c_24635,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13196,c_19960]) ).
tcf(c_24636,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_19960]) ).
tcf(c_24637,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_19960]) ).
tcf(c_24638,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_19960]) ).
tcf(c_24639,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_19960]) ).
tcf(c_24640,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16217,c_19960]) ).
tcf(c_24641,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16632,c_19960]) ).
tcf(c_24643,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_19960]) ).
tcf(c_24644,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(v_Aa,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_19960]) ).
tcf(c_24645,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_19960]) ).
tcf(c_24646,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(v_S,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_19960]) ).
tcf(c_24647,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_19960]) ).
tcf(c_24648,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_19960]) ).
tcf(c_24649,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19960,c_11690]) ).
tcf(c_24650,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_19960,c_836]) ).
tcf(c_24651,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19960,c_11844]) ).
tcf(c_24652,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19960,c_11820]) ).
tcf(c_24653,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19960,c_11802]) ).
tcf(c_24654,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19960,c_11775]) ).
tcf(c_24655,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_19960,c_860]) ).
tcf(c_24656,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19960,c_779]) ).
tcf(c_24657,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19960,c_778]) ).
tcf(c_24658,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_19960,c_760]) ).
tcf(c_24659,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_24606,c_22163]) ).
tcf(c_24732,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1043,c_19989]) ).
tcf(c_24733,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_826,c_19989]) ).
tcf(c_24734,plain,
! [X0: $i] : c_lessequals(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_961,c_19989]) ).
tcf(c_24735,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(X0)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_821,c_19989]) ).
tcf(c_24736,plain,
! [X0: $i] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(X0)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_818,c_19989]) ).
tcf(c_24737,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_799,c_19989]) ).
tcf(c_24738,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_786,c_19989]) ).
tcf(c_24739,plain,
c_lessequals(c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_872,c_19989]) ).
tcf(c_24740,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_968,c_19989]) ).
tcf(c_24741,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_767,c_19989]) ).
tcf(c_24742,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_820,c_19989]) ).
tcf(c_24743,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_802,c_19989]) ).
tcf(c_24744,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(c_Message_Oparts(X0)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_859,c_19989]) ).
tcf(c_24745,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_789,c_19989]) ).
tcf(c_24746,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15461,c_19989]) ).
tcf(c_24747,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15532,c_19989]) ).
tcf(c_24748,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15604,c_19989]) ).
tcf(c_24749,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15675,c_19989]) ).
tcf(c_24750,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_15863,c_19989]) ).
tcf(c_24751,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))) = c_Message_Oanalz(X0) )
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_19989,c_1005]) ).
tcf(c_24752,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),
inference(superposition,[status(thm)],[c_19989,c_1003]) ).
tcf(c_24753,plain,
! [X0: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),
inference(superposition,[status(thm)],[c_19989,c_1002]) ).
tcf(c_24754,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X1))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19989,c_995]) ).
tcf(c_24755,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X1))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_19989,c_877]) ).
tcf(c_24768,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_24745,c_786,c_16024]) ).
tcf(c_24769,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_24743,c_799,c_21693]) ).
tcf(c_24774,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_24733,c_19843]) ).
tcf(c_24802,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_767,c_20002]) ).
tcf(c_24803,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_802,c_20002]) ).
tcf(c_24804,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_789,c_20002]) ).
tcf(c_24811,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_20002]) ).
tcf(c_24813,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_20002]) ).
tcf(c_24814,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_20002]) ).
tcf(c_24816,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oused(X1)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_20002]) ).
tcf(c_24818,plain,
! [X0: $i,X1: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(X0,X1)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11573,c_20002]) ).
tcf(c_24819,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11578,c_20002]) ).
tcf(c_24821,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_20002]) ).
tcf(c_24822,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_20002]) ).
tcf(c_24824,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11756,c_20002]) ).
tcf(c_24825,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11865,c_20002]) ).
tcf(c_24826,plain,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11866,c_20002]) ).
tcf(c_24827,plain,
c_in(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_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11898,c_20002]) ).
tcf(c_24828,plain,
c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11903,c_20002]) ).
tcf(c_24829,plain,
c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_20002]) ).
tcf(c_24830,plain,
c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11965,c_20002]) ).
tcf(c_24831,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11972,c_20002]) ).
tcf(c_24832,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_20002]) ).
tcf(c_24833,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(X1))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12329,c_20002]) ).
tcf(c_24834,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_20002]) ).
tcf(c_24835,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(X1))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12370,c_20002]) ).
tcf(c_24836,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_20002]) ).
tcf(c_24837,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_20002]) ).
tcf(c_24838,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13196,c_20002]) ).
tcf(c_24839,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_14011,c_20002]) ).
tcf(c_24840,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_15979,c_20002]) ).
tcf(c_24841,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_20002]) ).
tcf(c_24842,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_20002]) ).
tcf(c_24843,plain,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16217,c_20002]) ).
tcf(c_24844,plain,
c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16632,c_20002]) ).
tcf(c_24845,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oused(v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16633,c_20002]) ).
tcf(c_24846,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_20002]) ).
tcf(c_24847,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(v_Aa,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_20002]) ).
tcf(c_24848,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_20002]) ).
tcf(c_24849,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(v_S,v_evs3)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_20002]) ).
tcf(c_24850,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_20002]) ).
tcf(c_24851,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_20002]) ).
tcf(c_24852,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_20002,c_11690]) ).
tcf(c_24853,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_20002,c_836]) ).
tcf(c_24854,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_20002,c_11844]) ).
tcf(c_24855,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_20002,c_11820]) ).
tcf(c_24856,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_20002,c_11802]) ).
tcf(c_24857,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_20002,c_11775]) ).
tcf(c_24858,plain,
! [X0: $i,X1: $i] : c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg))),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))),
inference(superposition,[status(thm)],[c_20002,c_860]) ).
tcf(c_24859,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_20002,c_779]) ).
tcf(c_24860,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_20002,c_778]) ).
tcf(c_24862,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_24804,c_16024]) ).
tcf(c_24863,plain,
! [X0: $i,X1: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg))),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_24803,c_21693]) ).
tcf(c_24982,plain,
c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oused(v_evs3)))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oused(v_evs3)))),
inference(superposition,[status(thm)],[c_24845,c_836]) ).
tcf(c_24983,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NAa),c_Message_Osynth(c_Message_Oparts(c_Event_Oused(v_evs3))),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oused(v_evs3)))),
inference(superposition,[status(thm)],[c_24845,c_860]) ).
tcf(c_24989,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Set_Oinsert(X0,c_Set_Oinsert(v_evs3,X1,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X0,X1,tc_List_Olist(tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_838,c_24001]) ).
tcf(c_24993,plain,
! [X0: $i] :
( ( c_Set_Oinsert(v_evs3,X0,tc_List_Olist(tc_Event_Oevent)) = c_NS__Shared__Mirabelle_Ons__shared )
| ~ c_lessequals(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| ~ c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,c_Set_Oinsert(v_evs3,X0,tc_List_Olist(tc_Event_Oevent)),tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_24001,c_1005]) ).
tcf(c_24994,plain,
! [X0: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_evs3,X0,tc_List_Olist(tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) = c_NS__Shared__Mirabelle_Ons__shared )
| ~ c_lessequals(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_24001,c_1003]) ).
tcf(c_24995,plain,
! [X0: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_NS__Shared__Mirabelle_Ons__shared,c_Set_Oinsert(v_evs3,X0,tc_List_Olist(tc_Event_Oevent)),tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) = c_NS__Shared__Mirabelle_Ons__shared )
| ~ c_lessequals(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
inference(superposition,[status(thm)],[c_24001,c_1002]) ).
tcf(c_24996,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| ~ c_in(X0,c_Set_Oinsert(v_evs3,X1,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)) ),
inference(superposition,[status(thm)],[c_24001,c_995]) ).
tcf(c_25018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_21051]) ).
tcf(c_25020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_21051]) ).
tcf(c_25021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_21051]) ).
tcf(c_25022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_21051]) ).
tcf(c_25023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21051,c_1005]) ).
tcf(c_25024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21051,c_1003]) ).
tcf(c_25025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21051,c_1002]) ).
tcf(c_25026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21051,c_995]) ).
tcf(c_25084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_21067]) ).
tcf(c_25086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_21067]) ).
tcf(c_25087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_21067]) ).
tcf(c_25088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_21067]) ).
tcf(c_25089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21067,c_1005]) ).
tcf(c_25090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21067,c_1003]) ).
tcf(c_25091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21067,c_1002]) ).
tcf(c_25092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21067,c_995]) ).
tcf(c_25105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_888,c_21068]) ).
tcf(c_25107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X7,X0),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_741,c_21068]) ).
tcf(c_25108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19307,c_21068]) ).
tcf(c_25109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_19308,c_21068]) ).
tcf(c_25110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)) )
| ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_21068,c_1005]) ).
tcf(c_25111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),X0,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21068,c_1003]) ).
tcf(c_25112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X0),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X1),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),X4,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[status(thm)],[c_21068,c_1002]) ).
tcf(c_25113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X2),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X3),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X4),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_B,X5),X1,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21068,c_995]) ).
tcf(c_25158,plain,
c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Message_Osynth(c_Set_Oinsert(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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13237,c_1029]) ).
tcf(c_25159,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13237,c_20002]) ).
tcf(c_25160,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13237,c_19960]) ).
tcf(c_25161,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13237,c_19196]) ).
tcf(c_25162,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13237,c_19171]) ).
tcf(c_25163,plain,
c_in(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_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13237,c_18840]) ).
tcf(c_25164,plain,
c_lessequals(c_Set_Oinsert(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_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13237,c_1029]) ).
tcf(c_25165,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13237,c_864]) ).
tcf(c_25168,plain,
c_in(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_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13237,c_12875]) ).
tcf(c_25169,plain,
c_lessequals(c_Set_Oinsert(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_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_13237,c_824]) ).
tcf(c_25172,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(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)))),X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13237,c_851]) ).
tcf(c_25176,plain,
! [X0: $i] :
( c_in(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)))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13237,c_853]) ).
tcf(c_25179,plain,
! [X0: $i] :
( c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),c_Set_Oinsert(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)))),X0,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_13237,c_851]) ).
tcf(c_25180,plain,
! [X0: $i] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)))),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,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_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_13237,c_753]) ).
tcf(c_25184,plain,
! [X0: $i] : c_Set_Oinsert(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_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13237,c_838]) ).
tcf(c_25185,plain,
! [X0: $i] : c_in(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_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13237,c_12877]) ).
tcf(c_25189,plain,
c_in(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_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13237,c_13016]) ).
tcf(c_25221,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_12875,c_1019]) ).
tcf(c_25222,plain,
! [X0: $i] :
( c_in(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_Message_Osynth(X0),tc_Message_Omsg)
| c_in(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)))),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_12892,c_1019]) ).
tcf(c_25236,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1029,c_1021]) ).
tcf(c_25237,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1063,c_1021]) ).
tcf(c_25238,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1026,c_1021]) ).
tcf(c_25239,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_4352,c_1021]) ).
tcf(c_25240,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1022,c_1021]) ).
tcf(c_25242,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_992,c_1021]) ).
tcf(c_25243,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_17578,c_1021]) ).
tcf(c_25244,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1024,c_1021]) ).
tcf(c_25269,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1024,c_1030]) ).
tcf(c_25270,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1024,c_1030]) ).
tcf(c_25271,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_List_Oset(X0,tc_Message_Omsg)),c_Message_Osynth(c_List_Oset(X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_List_Oset(c_List_Oappend(X0,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_736,c_1030]) ).
tcf(c_25273,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1067,c_1030]) ).
tcf(c_25274,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1066,c_1030]) ).
tcf(c_25275,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1072,c_1030]) ).
tcf(c_25276,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oparts(X0)),c_Message_Osynth(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_875,c_1030]) ).
tcf(c_25277,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1076,c_1030]) ).
tcf(c_25278,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oparts(X0)),c_Message_Osynth(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_882,c_1030]) ).
tcf(c_25279,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1023,c_1030]) ).
tcf(c_25280,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_3975,c_1030]) ).
tcf(c_25281,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_11398,c_1030]) ).
tcf(c_25282,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) )
| ~ c_lessequals(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_1030,c_1005]) ).
tcf(c_25283,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_1030,c_1003]) ).
tcf(c_25284,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[status(thm)],[c_1030,c_1002]) ).
tcf(c_25285,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1030,c_995]) ).
tcf(c_25286,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1030,c_1021]) ).
tcf(c_25287,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1030,c_994]) ).
tcf(c_25288,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_1030,c_993]) ).
tcf(c_25289,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_25279,c_1024]) ).
tcf(c_25290,plain,
! [X0: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oparts(X0)),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_25278,c_1024]) ).
tcf(c_25295,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_25280,c_1024]) ).
tcf(c_25296,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(light_normalisation,[status(thm)],[c_25281,c_1024]) ).
tcf(c_25351,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_799,c_16963]) ).
tcf(c_25352,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_786,c_16963]) ).
tcf(c_25354,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_16963]) ).
tcf(c_25357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X0,X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_838,c_16963]) ).
tcf(c_25359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Set_Oinsert(X2,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X3,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_753,c_16963]) ).
tcf(c_25360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X0,X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11562,c_16963]) ).
tcf(c_25361,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11567,c_16963]) ).
tcf(c_25362,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Set_Oinsert(X1,c_Event_Oused(X2),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11570,c_16963]) ).
tcf(c_25365,plain,
! [X0: $i] : c_in(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_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11578,c_16963]) ).
tcf(c_25367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Set_Oinsert(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11630,c_16963]) ).
tcf(c_25368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X0),X1)),c_Message_Oanalz(c_Set_Oinsert(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11656,c_16963]) ).
tcf(c_25370,plain,
! [X0: $i] : c_in(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_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11756,c_16963]) ).
tcf(c_25374,plain,
! [X0: $i] : c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11903,c_16963]) ).
tcf(c_25375,plain,
! [X0: $i] : c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11904,c_16963]) ).
tcf(c_25376,plain,
! [X0: $i] : c_in(v_X,c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11965,c_16963]) ).
tcf(c_25377,plain,
! [X0: $i] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_11972,c_16963]) ).
tcf(c_25378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12328,c_16963]) ).
tcf(c_25379,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Oanalz(c_Message_Osynth(X2)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12329,c_16963]) ).
tcf(c_25380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_OAgent(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12369,c_16963]) ).
tcf(c_25381,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12370,c_16963]) ).
tcf(c_25382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Oanalz(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12409,c_16963]) ).
tcf(c_25383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Oparts(c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(c_Message_Omsg_ONonce(X0),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_12672,c_16963]) ).
tcf(c_25384,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13196,c_16963]) ).
tcf(c_25385,plain,
! [X0: $i] : c_in(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_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_13237,c_16963]) ).
tcf(c_25388,plain,
! [X0: $i] : c_in(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_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16206,c_16963]) ).
tcf(c_25389,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16216,c_16963]) ).
tcf(c_25390,plain,
! [X0: $i] : c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16217,c_16963]) ).
tcf(c_25391,plain,
! [X0: $i] : c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16632,c_16963]) ).
tcf(c_25392,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oused(v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16633,c_16963]) ).
tcf(c_25393,plain,
! [X0: $i] : c_in(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_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16640,c_16963]) ).
tcf(c_25394,plain,
! [X0: $i] : c_in(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_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oknows(v_Aa,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16645,c_16963]) ).
tcf(c_25395,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16651,c_16963]) ).
tcf(c_25396,plain,
! [X0: $i] : c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa)))),c_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Oknows(v_S,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16653,c_16963]) ).
tcf(c_25397,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Oanalz(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg))),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_18401,c_16963]) ).
tcf(c_25398,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_Oparts(c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X2,tc_Message_Omsg))),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_21639,c_16963]) ).
tcf(c_25399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16963,c_11690]) ).
tcf(c_25400,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16963,c_836]) ).
tcf(c_25401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X2),X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16963,c_11844]) ).
tcf(c_25402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16963,c_11820]) ).
tcf(c_25403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X2),X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16963,c_11802]) ).
tcf(c_25404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X0),X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_16963,c_11775]) ).
tcf(c_25405,plain,
! [X0: $i,X1: $i,X2: $i] : c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_16963,c_815]) ).
tcf(c_25514,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_25405,c_25404,c_25403,c_25402,c_25401,c_25400,c_25399,c_25398,c_25397,c_25396,c_25395,c_25394,c_25393,c_25392,c_25391,c_25390,c_25389,c_25388,c_25385,c_25384,c_25383,c_25382,c_25381,c_25380,c_25379,c_25378,c_25377,c_25376,c_25375,c_25374,c_25370,c_25368,c_25367,c_25365,c_25362,c_25361,c_25360,c_25359,c_25357,c_25354,c_25352,c_25351,c_25296,c_25295,c_25290,c_25289,c_25288,c_25287,c_25286,c_25285,c_25284,c_25283,c_25282,c_25281,c_25280,c_25279,c_25278,c_25277,c_25276,c_25274,c_25273,c_25271,c_25270,c_25269,c_25275,c_25244,c_25243,c_25240,c_25239,c_25238,c_25237,c_25236,c_25222,c_25221,c_25189,c_25185,c_25180,c_25179,c_25176,c_25172,c_25184,c_25169,c_25168,c_25165,c_25164,c_25163,c_25162,c_25161,c_25160,c_25159,c_25158,c_25113,c_25112,c_25111,c_25110,c_25109,c_25108,c_25107,c_25105,c_25092,c_25091,c_25090,c_25089,c_25088,c_25087,c_25086,c_25084,c_25026,c_25025,c_25024,c_25023,c_25022,c_25021,c_25020,c_25018,c_24996,c_24995,c_24994,c_24993,c_24989,c_24983,c_24982,c_24863,c_24862,c_24860,c_24859,c_24858,c_24857,c_24856,c_24855,c_24854,c_24853,c_24852,c_24851,c_24850,c_24849,c_24848,c_24847,c_24846,c_24845,c_24844,c_24843,c_24842,c_24841,c_24840,c_24839,c_24838,c_24837,c_24836,c_24835,c_24834,c_24833,c_24832,c_24831,c_24830,c_24829,c_24828,c_24827,c_24826,c_24825,c_24824,c_24822,c_24821,c_24819,c_24818,c_24816,c_24814,c_24813,c_24811,c_24804,c_24803,c_24802,c_24774,c_24769,c_24768,c_24755,c_24754,c_24753,c_24752,c_24751,c_24750,c_24749,c_24748,c_24747,c_24746,c_24745,c_24744,c_24743,c_24742,c_24741,c_24740,c_24739,c_24738,c_24737,c_24736,c_24735,c_24734,c_24733,c_24732,c_24659,c_24658,c_24657,c_24656,c_24655,c_24654,c_24653,c_24652,c_24651,c_24650,c_24649,c_24648,c_24647,c_24646,c_24645,c_24644,c_24643,c_24641,c_24640,c_24639,c_24638,c_24637,c_24636,c_24635,c_24634,c_24633,c_24632,c_24631,c_24630,c_24629,c_24628,c_24627,c_24626,c_24625,c_24624,c_24623,c_24622,c_24621,c_24619,c_24618,c_24616,c_24615,c_24613,c_24611,c_24610,c_24608,c_24606,c_24605,c_24566,c_24544,c_24543,c_24530,c_24519,c_24518,c_24517,c_24516,c_24515,c_24514,c_24513,c_24512,c_24511,c_24510,c_24509,c_24508,c_24507,c_24503,c_24502,c_24501,c_24500,c_24499,c_24498,c_24497,c_24496,c_24494,c_24493,c_24491,c_24043,c_24041,c_24040,c_24039,c_24038,c_24037,c_24036,c_24035,c_24034,c_24033,c_24032,c_24031,c_24030,c_24029,c_24028,c_24027,c_24026,c_24025,c_24024,c_24023,c_24022,c_24021,c_24020,c_24019,c_24018,c_24017,c_24016,c_24015,c_24014,c_24013,c_24012,c_24011,c_24010,c_24009,c_24008,c_24007,c_24006,c_24005,c_24004,c_24003,c_24002,c_24001,c_24000,c_23999,c_23998,c_23997,c_23996,c_23995,c_23994,c_23993,c_23991,c_23990,c_23989,c_23988,c_23987,c_23986,c_23985,c_23984,c_23983,c_23982,c_23981,c_23980,c_23979,c_23978,c_23977,c_23976,c_23975,c_23974,c_23973,c_23972,c_23971,c_23970,c_23969,c_23968,c_23967,c_23966,c_23965,c_23964,c_23963,c_23962,c_23961,c_23960,c_23959,c_23958,c_23957,c_23956,c_23955,c_23954,c_23953,c_23952,c_23951,c_23950,c_23949,c_23948,c_23947,c_23946,c_23945,c_23943,c_23942,c_23876,c_23872,c_23866,c_23864,c_23863,c_23862,c_23861,c_23860,c_23859,c_23858,c_23857,c_23856,c_23855,c_23854,c_23853,c_23852,c_23851,c_23850,c_23848,c_23847,c_23845,c_23844,c_23843,c_23842,c_23841,c_23840,c_23839,c_23838,c_23837,c_23836,c_23835,c_23834,c_23833,c_23832,c_23831,c_23830,c_23849,c_23803,c_23802,c_23783,c_23782,c_23781,c_23780,c_23779,c_23778,c_23777,c_23775,c_23773,c_23772,c_23770,c_23769,c_23716,c_23715,c_23714,c_23713,c_23712,c_23711,c_23710,c_23708,c_23695,c_23694,c_23693,c_23692,c_23691,c_23690,c_23689,c_23687,c_23674,c_23673,c_23672,c_23671,c_23670,c_23669,c_23668,c_23666,c_23630,c_23629,c_23628,c_23627,c_23626,c_23625,c_23624,c_23622,c_23609,c_23608,c_23607,c_23606,c_23605,c_23604,c_23603,c_23601,c_23562,c_23561,c_23560,c_23559,c_23558,c_23557,c_23556,c_23554,c_23541,c_23540,c_23539,c_23538,c_23537,c_23536,c_23535,c_23533,c_23531,c_23530,c_23503,c_23502,c_23501,c_23455,c_23454,c_23453,c_23451,c_23450,c_23449,c_23448,c_23447,c_23446,c_23445,c_23444,c_23443,c_23442,c_23441,c_23440,c_23439,c_23438,c_23437,c_23436,c_23435,c_23434,c_23433,c_23432,c_23431,c_23430,c_23429,c_23428,c_23427,c_23426,c_23425,c_23424,c_23423,c_23422,c_23421,c_23420,c_23419,c_23418,c_23417,c_23415,c_23414,c_23412,c_23411,c_23409,c_23407,c_23406,c_23404,c_23402,c_23401,c_23349,c_23348,c_23347,c_23346,c_23344,c_23343,c_23342,c_23341,c_23340,c_23339,c_23338,c_23337,c_23336,c_23335,c_23334,c_23332,c_23333,c_23326,c_23325,c_23324,c_23323,c_23322,c_23321,c_23320,c_23319,c_23318,c_23317,c_23307,c_23306,c_23308,c_23303,c_23302,c_23301,c_23299,c_23298,c_23296,c_23295,c_23294,c_23293,c_23265,c_23268,c_23267,c_23266,c_23258,c_23264,c_23263,c_23262,c_23243,c_23242,c_23226,c_23225,c_23190,c_23189,c_23188,c_23187,c_23186,c_23185,c_23184,c_23165,c_23164,c_23163,c_23162,c_23161,c_23160,c_23159,c_23157,c_23092,c_23091,c_23090,c_23089,c_23088,c_23087,c_23086,c_23084,c_23071,c_23070,c_23069,c_23068,c_23067,c_23066,c_23065,c_23063,c_22967,c_22966,c_22965,c_22964,c_22963,c_22962,c_22961,c_22959,c_22946,c_22945,c_22944,c_22943,c_22942,c_22941,c_22940,c_22938,c_22925,c_22924,c_22923,c_22922,c_22921,c_22920,c_22919,c_22917,c_22903,c_22902,c_22901,c_22900,c_22898,c_22895,c_22894,c_22893,c_22892,c_22890,c_22824,c_22823,c_22822,c_22821,c_22819,c_22816,c_22815,c_22814,c_22813,c_22811,c_22761,c_22760,c_22759,c_22758,c_22756,c_22755,c_22754,c_22753,c_22752,c_22751,c_22750,c_22749,c_22748,c_22747,c_22745,c_22746,c_22739,c_22738,c_22737,c_22736,c_22735,c_22734,c_22733,c_22732,c_22731,c_22730,c_22720,c_22719,c_22721,c_22716,c_22715,c_22714,c_22712,c_22711,c_22709,c_22708,c_22707,c_22706,c_22705,c_22704,c_22702,c_22701,c_22700,c_22677,c_22676,c_22675,c_22674,c_22672,c_22671,c_22670,c_22669,c_22668,c_22667,c_22666,c_22665,c_22664,c_22663,c_22662,c_22660,c_22661,c_22654,c_22653,c_22652,c_22651,c_22650,c_22649,c_22648,c_22647,c_22646,c_22645,c_22635,c_22634,c_22636,c_22631,c_22630,c_22629,c_22628,c_22627,c_22626,c_22624,c_22623,c_22612,c_22611,c_22349,c_22340,c_22339,c_22338,c_22337,c_22336,c_22331,c_22330,c_22329,c_22327,c_22326,c_22325,c_22323,c_22322,c_22321,c_22320,c_22319,c_22318,c_22317,c_22328,c_22315,c_22314,c_22313,c_22312,c_22311,c_22310,c_22309,c_22308,c_22307,c_22306,c_22305,c_22304,c_22303,c_22302,c_22301,c_22300,c_22299,c_22298,c_22297,c_22296,c_22295,c_22294,c_22293,c_22292,c_22291,c_22290,c_22289,c_22288,c_22287,c_22286,c_22285,c_22284,c_22283,c_22282,c_22281,c_22280,c_22279,c_22278,c_22277,c_22276,c_22275,c_22274,c_22273,c_22272,c_22271,c_22270,c_22269,c_22324,c_22266,c_22265,c_22264,c_22263,c_22262,c_22261,c_22260,c_22259,c_22258,c_22257,c_22223,c_22222,c_22221,c_22214,c_22207,c_22206,c_22205,c_22204,c_22170,c_22163,c_22162,c_22161,c_22160,c_22159,c_22158,c_22157,c_22156,c_22155,c_22154,c_22153,c_22152,c_21879,c_21878,c_21877,c_21876,c_21875,c_21874,c_21873,c_21872,c_21871,c_21870,c_21869,c_21868,c_21867,c_21866,c_21865,c_21864,c_21863,c_21862,c_21861,c_21860,c_21859,c_21858,c_21857,c_21856,c_21855,c_21854,c_21853,c_21852,c_21851,c_21850,c_21849,c_21848,c_21847,c_21846,c_21845,c_21844,c_21843,c_21842,c_21841,c_21840,c_21839,c_21838,c_21837,c_21836,c_21835,c_21834,c_21833,c_21832,c_21831,c_21830,c_21828,c_21827,c_21826,c_21825,c_21824,c_21823,c_21822,c_21821,c_21819,c_21707,c_21706,c_21698,c_21693,c_21688,c_21687,c_21686,c_21684,c_21682,c_21681,c_21680,c_21679,c_21678,c_21677,c_21676,c_21675,c_21674,c_21673,c_21683,c_21671,c_21670,c_21669,c_21668,c_21667,c_21666,c_21665,c_21664,c_21663,c_21685,c_21661,c_21660,c_21659,c_21658,c_21657,c_21656,c_21655,c_21653,c_21652,c_21651,c_21650,c_21649,c_21648,c_21647,c_21646,c_21645,c_21644,c_21643,c_21642,c_21641,c_21640,c_21639,c_21628,c_21627,c_21626,c_21624,c_21621,c_21620,c_21619,c_21618,c_21616,c_21553,c_21552,c_21551,c_21549,c_21546,c_21545,c_21544,c_21543,c_21541,c_21519,c_21518,c_21517,c_21515,c_21512,c_21511,c_21510,c_21509,c_21507,c_21496,c_21495,c_21494,c_21492,c_21489,c_21488,c_21487,c_21486,c_21484,c_21460,c_21459,c_21458,c_21456,c_21453,c_21452,c_21451,c_21450,c_21448,c_21437,c_21436,c_21435,c_21433,c_21430,c_21429,c_21428,c_21427,c_21425,c_21422,c_21421,c_21420,c_21417,c_21416,c_21415,c_21413,c_21412,c_21410,c_21346,c_21345,c_21338,c_21344,c_21332,c_21331,c_21328,c_21327,c_21326,c_21325,c_21287,c_21281,c_21280,c_21279,c_21277,c_21272,c_21271,c_21270,c_21269,c_21268,c_21267,c_21266,c_21265,c_21264,c_21263,c_21262,c_21261,c_21259,c_21258,c_21257,c_21256,c_21216,c_21215,c_21214,c_21212,c_21210,c_21207,c_21206,c_21205,c_21204,c_21203,c_21202,c_21201,c_21200,c_21199,c_21198,c_21197,c_21196,c_21194,c_21193,c_21192,c_21191,c_21124,c_21123,c_21116,c_21115,c_21114,c_21112,c_21110,c_21109,c_21107,c_21106,c_21105,c_21104,c_21103,c_21113,c_21111,c_21071,c_21070,c_21069,c_21068,c_21067,c_21066,c_21064,c_21054,c_21053,c_21052,c_21051,c_21050,c_21049,c_21047,c_21037,c_21036,c_21035,c_21034,c_21033,c_21032,c_21030,c_21020,c_21019,c_21018,c_21017,c_21016,c_21015,c_21013,c_21003,c_21002,c_21001,c_21000,c_20999,c_20998,c_20996,c_20934,c_20933,c_20932,c_20931,c_20930,c_20929,c_20927,c_20904,c_20903,c_20902,c_20901,c_20900,c_20899,c_20897,c_20887,c_20886,c_20885,c_20884,c_20883,c_20882,c_20880,c_20869,c_20868,c_20867,c_20860,c_20866,c_20854,c_20853,c_20850,c_20849,c_20848,c_20847,c_20837,c_20836,c_20831,c_20830,c_20829,c_20822,c_20828,c_20816,c_20815,c_20812,c_20811,c_20738,c_20737,c_20736,c_20735,c_20734,c_20733,c_20732,c_20731,c_20730,c_20729,c_20728,c_20727,c_20726,c_20725,c_20724,c_20723,c_20722,c_20721,c_20720,c_20719,c_20718,c_20717,c_20716,c_20706,c_20705,c_20703,c_20702,c_20701,c_20700,c_20699,c_20698,c_20696,c_20634,c_20614,c_20613,c_20612,c_20611,c_20610,c_20609,c_20608,c_20607,c_20606,c_20605,c_20604,c_20603,c_20602,c_20601,c_20600,c_20599,c_20598,c_20597,c_20592,c_20586,c_20495,c_20494,c_20493,c_20492,c_20485,c_20484,c_20483,c_20482,c_20481,c_20479,c_20477,c_20476,c_20474,c_20473,c_20472,c_20471,c_20470,c_20469,c_20468,c_20467,c_20466,c_20465,c_20464,c_20463,c_20462,c_20461,c_20460,c_20459,c_20458,c_20457,c_20456,c_20455,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV802-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 21:08:56 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 26.83/4.36 % SZS status Started for theBenchmark.p
% 26.83/4.36 % SZS status Unsatisfiable for theBenchmark.p
% 26.83/4.36
% 26.83/4.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.83/4.36
% 26.83/4.36 % ------ iProver source info
% 26.83/4.36
% 26.83/4.36 % git: date: 2026-07-19 20:42:38 +0200
% 26.83/4.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.83/4.36 % git: non_committed_changes: false
% 26.83/4.36
% 26.83/4.36 % ------ Parsing...% successful
% 26.83/4.36
% 26.83/4.36
% 26.83/4.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.83/4.36
% 26.83/4.36 % ------ Preprocessing... sup_sim: 21 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 26.83/4.36
% 26.83/4.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 26.83/4.36
% 26.83/4.36 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 26.83/4.36 % ------ Proving...
% 26.83/4.36 % ------ Problem Properties
% 26.83/4.36
% 26.83/4.36 %
% 26.83/4.36 % clauses 290
% 26.83/4.36 % conjectures 11
% 26.83/4.36 % EPR 6
% 26.83/4.36 % Horn 266
% 26.83/4.36 % unary 118
% 26.83/4.36 % binary 112
% 26.83/4.36 % lits 540
% 26.83/4.36 % lits eq 185
% 26.83/4.36 % fd_pure 0
% 26.83/4.36 % fd_pseudo 0
% 26.83/4.36 % fd_cond 1
% 26.83/4.36 % fd_pseudo_cond 50
% 26.83/4.36 % AC symbols 0
% 26.83/4.36
% 26.83/4.36 % ------ Schedule dynamic 5 is on
% 26.83/4.36
% 26.83/4.36 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 26.83/4.36
% 26.83/4.36
% 26.83/4.36 % ------
% 26.83/4.36 % Current options:
% 26.83/4.36 % ------
% 26.83/4.36
% 26.83/4.36
% 26.83/4.36 %
% 26.83/4.36
% 26.83/4.36 % ------ Proving...
% 26.83/4.36 %
% 26.83/4.36
% 26.83/4.36 % SZS status Unsatisfiable for theBenchmark.p
% 26.83/4.36
% 26.83/4.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.84/4.48
% 26.84/4.48
%------------------------------------------------------------------------------