%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV751-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n003.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 : Sun Sep 27 09:00:25 AM UTC 2026
% Result : Unsatisfiable 29.60s 7.33s
% Output : Refutation 28.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 586
% Syntax : Number of formulae : 1173 ( 491 unt; 0 typ; 0 def)
% Number of atoms : 2269 ( 610 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 18296 (1130 ~;1096 |; 0 &;16070 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 82 ( 80 usr; 26 con; 0-4 aty)
% Number of variables : 3386 ( 0 ^;3386 !; 0 ?;3386 :)
% Comments :
%------------------------------------------------------------------------------
thf(hBOOL_decl,type,
hBOOL: $i > $o ).
thf(c_in_decl,type,
c_in: $i > $i > $i > $i ).
thf(c_Event_Oevent_OSays_decl,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(c_Message_Oagent_OServer_decl,type,
c_Message_Oagent_OServer: $i ).
thf(v_A_decl,type,
v_A: $i ).
thf(c_Message_Omsg_OCrypt_decl,type,
c_Message_Omsg_OCrypt: $i > $i > $i ).
thf(v_K_H_decl,type,
v_K_H: $i ).
thf(c_Message_Omsg_OMPair_decl,type,
c_Message_Omsg_OMPair: $i > $i > $i ).
thf(v_NA_decl,type,
v_NA: $i ).
thf(c_Message_Omsg_OAgent_decl,type,
c_Message_Omsg_OAgent: $i > $i ).
thf(v_B_decl,type,
v_B: $i ).
thf(hAPP_decl,type,
hAPP: $i > $i > $i ).
thf(c_Message_Omsg_OKey_decl,type,
c_Message_Omsg_OKey: $i ).
thf(v_K_decl,type,
v_K: $i ).
thf(v_X_decl,type,
v_X: $i ).
thf(c_List_Oset_decl,type,
c_List_Oset: $i > $i > $i ).
thf(v_evs_decl,type,
v_evs: $i ).
thf(tc_Event_Oevent_decl,type,
tc_Event_Oevent: $i ).
thf(c_Event_Oevent_ONotes_decl,type,
c_Event_Oevent_ONotes: $i > $i > $i ).
thf(c_Message_Oagent_OSpy_decl,type,
c_Message_Oagent_OSpy: $i ).
thf(c_Event_Obad_decl,type,
c_Event_Obad: $i ).
thf(tc_Message_Oagent_decl,type,
tc_Message_Oagent: $i ).
thf(c_NS__Shared__Mirabelle_Ons__shared_decl,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
thf(tc_List_Olist_decl,type,
tc_List_Olist: $i > $i ).
thf(c_Message_Oanalz_decl,type,
c_Message_Oanalz: $i > $i ).
thf(c_Event_Oknows_decl,type,
c_Event_Oknows: $i > $i > $i ).
thf(tc_Message_Omsg_decl,type,
tc_Message_Omsg: $i ).
thf(class_Lattices_Oupper__semilattice_decl,type,
class_Lattices_Oupper__semilattice: $i > $o ).
thf(c_Lattices_Oupper__semilattice__class_Osup_decl,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i > $i > $i ).
thf(tc_bool_decl,type,
tc_bool: $i ).
thf(class_Lattices_Obounded__lattice_decl,type,
class_Lattices_Obounded__lattice: $i > $o ).
thf(tc_fun_decl,type,
tc_fun: $i > $i > $i ).
thf(class_Lattices_Oboolean__algebra_decl,type,
class_Lattices_Oboolean__algebra: $i > $o ).
thf(c_HOL_Ouminus__class_Ouminus_decl,type,
c_HOL_Ouminus__class_Ouminus: $i > $i > $i ).
thf(tc_nat_decl,type,
tc_nat: $i ).
thf(c_Set_Oinsert_decl,type,
c_Set_Oinsert: $i > $i > $i > $i ).
thf(c_Orderings_Obot__class_Obot_decl,type,
c_Orderings_Obot__class_Obot: $i > $i ).
thf(c_Orderings_Otop__class_Otop_decl,type,
c_Orderings_Otop__class_Otop: $i > $i ).
thf(class_Lattices_Olattice_decl,type,
class_Lattices_Olattice: $i > $o ).
thf(c_List_Olist_ONil_decl,type,
c_List_Olist_ONil: $i > $i ).
thf(c_List_Olist_OCons_decl,type,
c_List_Olist_OCons: $i > $i > $i > $i ).
thf(c_lessequals_decl,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_Set_Oimage_decl,type,
c_Set_Oimage: $i > $i > $i > $i > $i ).
thf(class_Orderings_Obot_decl,type,
class_Orderings_Obot: $i > $o ).
thf(c_Message_Oparts_decl,type,
c_Message_Oparts: $i > $i ).
thf(c_Event_Oevent_OGets_decl,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(class_HOL_Oord_decl,type,
class_HOL_Oord: $i > $o ).
thf(class_Orderings_Otop_decl,type,
class_Orderings_Otop: $i > $o ).
thf(c_Message_Osynth_decl,type,
c_Message_Osynth: $i > $i ).
thf(class_HOL_Ouminus_decl,type,
class_HOL_Ouminus: $i > $o ).
thf(class_OrderedGroup_Opordered__ab__group__add_decl,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
thf(c_Message_Omsg_ONonce_decl,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(c_Message_Omsg_OHash_decl,type,
c_Message_Omsg_OHash: $i > $i ).
thf(c_Public_Okeymode_OEncryption_decl,type,
c_Public_Okeymode_OEncryption: $i ).
thf(c_Public_Okeymode_OSignature_decl,type,
c_Public_Okeymode_OSignature: $i ).
thf(class_Orderings_Olinorder_decl,type,
class_Orderings_Olinorder: $i > $o ).
thf(c_Message_OkeysFor_decl,type,
c_Message_OkeysFor: $i > $i ).
thf(c_Message_Oagent_OFriend_decl,type,
c_Message_Oagent_OFriend: $i > $i ).
thf(c_Message_OinvKey_decl,type,
c_Message_OinvKey: $i ).
thf(c_Public_OpublicKey_decl,type,
c_Public_OpublicKey: $i > $i ).
thf(c_Public_OshrK_decl,type,
c_Public_OshrK: $i ).
thf(c_Event_OinitState_decl,type,
c_Event_OinitState: $i > $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(v_x_decl,type,
v_x: $i ).
thf(c_Event_Oused_decl,type,
c_Event_Oused: $i > $i ).
thf(v_sko__List__Xlists__Xcases__2_decl,type,
v_sko__List__Xlists__Xcases__2: $i > $i > $i ).
thf(c_List_Olists_decl,type,
c_List_Olists: $i > $i > $i ).
thf(v_sko__List__Xlists__Xinduct__2_decl,type,
v_sko__List__Xlists__Xinduct__2: $i > $i > $i ).
thf(c_Message_OsymKeys_decl,type,
c_Message_OsymKeys: $i ).
thf(v_sko__List__Xlists__Xcases__1_decl,type,
v_sko__List__Xlists__Xcases__1: $i > $i > $i ).
thf(c_NS__Shared__Mirabelle_Ons__sharedp_decl,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $i ).
thf(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1_decl,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: $i > $i > $i > $i ).
thf(t_b_decl,type,
t_b: $i ).
thf(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1_decl,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1: $i > $i > $i ).
thf(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2_decl,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2: $i > $i > $i ).
thf(v_sko__List__Xlists__Xinduct__1_decl,type,
v_sko__List__Xlists__Xinduct__1: $i > $i > $i ).
thf(v_sko__List__Xlists__Xinducts__2_decl,type,
v_sko__List__Xlists__Xinducts__2: $i > $i > $i ).
thf(v_sko__List__Xlists__Xinducts__1_decl,type,
v_sko__List__Xlists__Xinducts__1: $i > $i > $i ).
thf(c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1_decl,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: $i > $i > $i > $i ).
thf(c_List_Osko__List__Xin__lists__conv__set__1__1_decl,type,
c_List_Osko__List__Xin__lists__conv__set__1__1: $i > $i > $i > $i ).
thf(28,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__empty_0) ).
thf(645,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(449,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oimage ) ) ) )
= ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__insert_0) ).
thf(1586,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oimage ) ) ) )
= ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[449]) ).
thf(196,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) @ hBOOL )
| ( A = c_Message_Oagent_OServer )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( C @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( E @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS3_0) ).
thf(1024,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) @ hBOOL )
| ( A = c_Message_Oagent_OServer )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( C @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( E @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(557,axiom,
! [B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( B @ c_List_Olists ) @ ( A @ c_in ) ) @ hBOOL )
| ( A
= ( t_a @ c_List_Olist_ONil ) )
| ( A
= ( t_a @ ( A @ ( B @ v_sko__List__Xlists__Xcases__2 ) @ ( A @ ( B @ v_sko__List__Xlists__Xcases__1 ) @ c_List_Olist_OCons ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Ocases_0) ).
thf(1823,plain,
! [B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( B @ c_List_Olists ) @ ( A @ c_in ) ) @ hBOOL )
| ( A
= ( t_a @ c_List_Olist_ONil ) )
| ( A
= ( t_a @ ( A @ ( B @ v_sko__List__Xlists__Xcases__2 ) @ ( A @ ( B @ v_sko__List__Xlists__Xcases__1 ) @ c_List_Olist_OCons ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[557]) ).
thf(386,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_Message_Osynth )
= ( B @ c_Message_Oanalz @ c_Message_Osynth ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).
thf(1454,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_Message_Osynth )
= ( B @ c_Message_Oanalz @ c_Message_Osynth ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).
thf(471,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__parts__UnE_0) ).
thf(1633,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[471]) ).
thf(531,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Notes_0) ).
thf(1767,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[531]) ).
thf(289,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__neq__pubK_0) ).
thf(1237,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(264,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( B @ c_Message_Oanalz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).
thf(1179,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( B @ c_Message_Oanalz ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(234,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_1) ).
thf(1110,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(493,axiom,
! [B: $i,A: $i] : ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top1I_0) ).
thf(1686,plain,
! [B: $i,A: $i] : ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[493]) ).
thf(582,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_5) ).
thf(1879,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[582]) ).
thf(334,axiom,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__iff_0) ).
thf(1337,plain,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(508,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( A @ ( I @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( H @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS5_0) ).
thf(1718,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( A @ ( I @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( H @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[508]) ).
thf(259,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ( A
= ( E @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__S__message__form_1) ).
thf(1168,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ( A
= ( E @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(82,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__subset__iff_0) ).
thf(760,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(144,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
thf(909,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(21,axiom,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
thf(628,plain,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(324,axiom,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OHash ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I38_J_0) ).
thf(1315,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(569,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_0) ).
thf(1850,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[569]) ).
thf(37,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).
thf(666,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(315,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).
thf(1295,plain,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(523,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Says_0) ).
thf(1750,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[523]) ).
thf(277,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_2) ).
thf(1211,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(213,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Hash_0) ).
thf(1068,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(380,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
thf(1443,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(464,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__parts__not__analz_0) ).
thf(1618,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[464]) ).
thf(183,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( C @ ( B @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Gets_0) ).
thf(994,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( C @ ( B @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(371,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Hash__synth_0) ).
thf(1422,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(429,axiom,
tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ c_List_Olist_ONil @ c_in ) ) @ hBOOL,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONil_0) ).
thf(1544,plain,
tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ c_List_Olist_ONil @ c_in ) ) @ hBOOL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[429]) ).
thf(513,axiom,
! [A: $i] :
( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
= ( A @ c_Message_Oanalz ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__idem_0) ).
thf(1728,plain,
! [A: $i] :
( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
= ( A @ c_Message_Oanalz ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[513]) ).
thf(451,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Hash_0) ).
thf(1591,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[451]) ).
thf(248,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Nonce_0) ).
thf(1142,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(423,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
thf(1533,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[423]) ).
thf(320,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
thf(1305,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(202,axiom,
! [A: $i] :
( ( A @ c_Message_Oagent_OFriend )
!= c_Message_Oagent_OServer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I3_J_0) ).
thf(1041,plain,
! [A: $i] :
( ( A @ c_Message_Oagent_OFriend )
!= c_Message_Oagent_OServer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(255,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( B @ c_Message_Oparts ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
thf(1158,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( B @ c_Message_Oparts ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(83,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Orderings_Otop )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Otop ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
thf(762,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Orderings_Otop )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(68,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
thf(730,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(583,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I40_J_0) ).
thf(1882,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[583]) ).
thf(373,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
thf(1426,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).
thf(487,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I1_J_0) ).
thf(1671,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[487]) ).
thf(458,axiom,
! [C: $i,B: $i,A: $i] : ( A @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
thf(1608,plain,
! [C: $i,B: $i,A: $i] : ( A @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[458]) ).
thf(480,axiom,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( B @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__image__eq_0) ).
thf(1655,plain,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( B @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[480]) ).
thf(246,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_ONotes ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I6_J_0) ).
thf(1137,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_ONotes ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(526,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__synth__Un_0) ).
thf(1756,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[526]) ).
thf(577,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
thf(1867,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[577]) ).
thf(579,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Agent_0) ).
thf(1872,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[579]) ).
thf(287,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Agent_0) ).
thf(1233,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(51,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( B = D )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
thf(698,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( B = D )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(159,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
thf(945,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(211,axiom,
! [B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( A @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ( B
= ( t_a @ c_List_Olist_ONil ) )
| ( t_a @ tc_List_Olist @ ( t_a @ ( A @ c_List_Olists ) @ ( B @ ( A @ v_sko__List__Xlists__Xcases__2 ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Ocases_2) ).
thf(1063,plain,
! [B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( A @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ( B
= ( t_a @ c_List_Olist_ONil ) )
| ( t_a @ tc_List_Olist @ ( t_a @ ( A @ c_List_Olists ) @ ( B @ ( A @ v_sko__List__Xlists__Xcases__2 ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(282,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_1) ).
thf(1222,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(405,axiom,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__spies__pubK_0) ).
thf(1497,plain,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[405]) ).
thf(502,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono_0) ).
thf(1705,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[502]) ).
thf(257,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Event_Oknows ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__knows__A_0) ).
thf(1164,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Event_Oknows ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(97,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
= ( A @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oimage ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
thf(797,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
= ( A @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oimage ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(76,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
thf(747,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(146,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_0) ).
thf(913,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(521,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__notin__image__shrK_0) ).
thf(1746,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[521]) ).
thf(562,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ ( B @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( C @ ( B @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I6_J_0) ).
thf(1835,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ ( B @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( C @ ( B @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[562]) ).
thf(187,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
thf(1001,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(539,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).
thf(1782,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[539]) ).
thf(461,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Un_0) ).
thf(1613,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[461]) ).
thf(354,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__analz_1) ).
thf(1386,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(421,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ c_Event_OinitState @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).
thf(1529,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ c_Event_OinitState @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[421]) ).
thf(108,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Obot__class_Obot @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
thf(829,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Obot__class_Obot @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(227,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( C @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__image__Key_0) ).
thf(1095,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( C @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(174,axiom,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Osynth )
= ( A @ c_Message_Osynth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__idem_0) ).
thf(973,plain,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Osynth )
= ( A @ c_Message_Osynth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(133,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__insert_0) ).
thf(885,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(204,axiom,
! [A: $i] :
( ( ( v_x @ ( A @ ( t_a @ tc_fun ) @ c_Orderings_Otop__class_Otop @ hAPP ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Orderings_Otop ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top__fun__eq_0) ).
thf(1046,plain,
! [A: $i] :
( ( ( v_x @ ( A @ ( t_a @ tc_fun ) @ c_Orderings_Otop__class_Otop @ hAPP ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Orderings_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(511,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( c_Message_OinvKey @ hAPP ) )
!= ( B @ ( c_Message_OinvKey @ hAPP ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
thf(1724,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( c_Message_OinvKey @ hAPP ) )
!= ( B @ ( c_Message_OinvKey @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[511]) ).
thf(395,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).
thf(1475,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).
thf(416,axiom,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) @ hBOOL )
| ( ( A @ ( c_Message_OinvKey @ hAPP ) )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__K_0) ).
thf(1518,plain,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) @ hBOOL )
| ( ( A @ ( c_Message_OinvKey @ hAPP ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[416]) ).
thf(301,axiom,
tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) @ hBOOL,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).
thf(1265,plain,
tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) @ hBOOL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(501,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I4_J_0) ).
thf(1703,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[501]) ).
thf(466,axiom,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_1) ).
thf(1623,plain,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[466]) ).
thf(399,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singletonE_0) ).
thf(1482,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).
thf(65,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
thf(724,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(311,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( B @ c_Message_OkeysFor @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
thf(1287,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( B @ c_Message_OkeysFor @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(504,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_1) ).
thf(1709,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[504]) ).
thf(375,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( C @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_0) ).
thf(1430,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( C @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(528,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
thf(1760,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[528]) ).
thf(62,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
thf(719,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(330,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_priK__in__initState_0) ).
thf(1330,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(413,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( H @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( B @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
thf(1511,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( H @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( B @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[413]) ).
thf(99,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
thf(802,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(558,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__analzD_0) ).
thf(1826,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[558]) ).
thf(444,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) )
= ( E @ ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oimage ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I56_J_0) ).
thf(1577,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) )
= ( E @ ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oimage ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[444]) ).
thf(154,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
thf(934,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(244,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth_0) ).
thf(1132,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(161,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).
thf(949,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(5,negated_conjecture,
tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evs @ c_in ) ) @ hBOOL,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(587,plain,
tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evs @ c_in ) ) @ hBOOL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(328,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_0) ).
thf(1323,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Oboolean__algebra )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oboolean__algebra ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oboolean__algebra) ).
thf(619,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Oboolean__algebra )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oboolean__algebra ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(112,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ( A @ ( C @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__iff_1) ).
thf(838,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ( A @ ( C @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(323,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( H @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OCrypt ) @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).
thf(1313,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( H @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OCrypt ) @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(307,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_2) ).
thf(1279,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(430,axiom,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__Key__image__eq_0) ).
thf(1545,plain,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[430]) ).
thf(414,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( C @ ( A @ ( C @ v_sko__List__Xlists__Xinducts__1 ) @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Oinducts_0) ).
thf(1514,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( C @ ( A @ ( C @ v_sko__List__Xlists__Xinducts__1 ) @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[414]) ).
thf(126,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
thf(870,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(459,axiom,
! [B: $i,A: $i] :
( ( B
= ( A @ c_List_Olist_ONil ) )
| ( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( B @ c_List_Oset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty2_0) ).
thf(1609,plain,
! [B: $i,A: $i] :
( ( B
= ( A @ c_List_Olist_ONil ) )
| ( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( B @ c_List_Oset ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[459]) ).
thf(191,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__analz__insert_0) ).
thf(1013,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(235,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__cut_0) ).
thf(1115,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(474,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( C @ ( B @ ( D @ c_List_Olist_OCons ) ) @ c_List_Oset ) @ ( A @ c_in ) ) @ hBOOL )
| ( A = D )
| ( C @ ( C @ ( B @ c_List_Oset ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__ConsD_0) ).
thf(1641,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( C @ ( B @ ( D @ c_List_Olist_OCons ) ) @ c_List_Oset ) @ ( A @ c_in ) ) @ hBOOL )
| ( A = D )
| ( C @ ( C @ ( B @ c_List_Oset ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[474]) ).
thf(345,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS4_0) ).
thf(1362,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(537,axiom,
( ( c_Message_Oagent_OSpy @ c_Event_OinitState )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__Spy_0) ).
thf(1778,plain,
( ( c_Message_Oagent_OSpy @ c_Event_OinitState )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[537]) ).
thf(229,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Event_Oused @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
thf(1100,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Event_Oused @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(25,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI_0) ).
thf(638,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(118,axiom,
tc_bool @ class_Orderings_Otop,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
thf(853,plain,
tc_bool @ class_Orderings_Otop,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Obounded__lattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
thf(606,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Obounded__lattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(442,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( C @ ( A @ ( B @ c_List_Osko__List__Xin__lists__conv__set__1__1 ) ) @ c_in ) ) @ hBOOL )
| ( C @ tc_List_Olist @ ( C @ ( B @ c_List_Olists ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lists__conv__set_2) ).
thf(1572,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( C @ ( A @ ( B @ c_List_Osko__List__Xin__lists__conv__set__1__1 ) ) @ c_in ) ) @ hBOOL )
| ( C @ tc_List_Olist @ ( C @ ( B @ c_List_Olists ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[442]) ).
thf(518,axiom,
! [A: $i] :
( ( A @ ( A @ c_List_Olist_ONil @ c_List_Oset ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty_1) ).
thf(1741,plain,
! [A: $i] :
( ( A @ ( A @ c_List_Olist_ONil @ c_List_Oset ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[518]) ).
thf(359,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq__shrK_0) ).
thf(1398,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(368,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_OGets ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).
thf(1415,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_OGets ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(151,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Osimps_I1_J_0) ).
thf(924,plain,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(484,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
thf(1664,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[484]) ).
thf(93,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Olattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
thf(789,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Olattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(3,negated_conjecture,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(591,plain,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(369,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__analz_0) ).
thf(1418,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(110,axiom,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Osimps_I2_J_0) ).
thf(834,plain,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(559,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( A @ c_List_Oset ) @ ( C @ ( A @ ( B @ c_List_Osko__List__Xin__lists__conv__set__1__1 ) ) @ c_in ) ) @ hBOOL )
| ( C @ tc_List_Olist @ ( C @ ( B @ c_List_Olists ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lists__conv__set_1) ).
thf(1828,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( A @ c_List_Oset ) @ ( C @ ( A @ ( B @ c_List_Osko__List__Xin__lists__conv__set__1__1 ) ) @ c_in ) ) @ hBOOL )
| ( C @ tc_List_Olist @ ( C @ ( B @ c_List_Olists ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[559]) ).
thf(252,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__used_1) ).
thf(1151,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(446,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
thf(1581,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[446]) ).
thf(206,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I46_J_0) ).
thf(1051,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(353,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = c_Message_Oagent_OSpy )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( A @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Gets_0) ).
thf(1383,plain,
! [C: $i,B: $i,A: $i] :
( ( A = c_Message_Oagent_OSpy )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( A @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(194,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ hAPP ) @ hBOOL )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
thf(1020,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ hAPP ) @ hBOOL )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(9,axiom,
tc_bool @ class_Lattices_Oupper__semilattice,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
thf(602,plain,
tc_bool @ class_Lattices_Oupper__semilattice,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(566,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OHash ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I14_J_0) ).
thf(1843,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[566]) ).
thf(351,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I42_J_0) ).
thf(1377,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(279,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__inject_1) ).
thf(1215,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(48,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_HOL_Oord )
| ( B @ ( A @ tc_fun ) @ class_HOL_Oord ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
thf(692,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_HOL_Oord )
| ( B @ ( A @ tc_fun ) @ class_HOL_Oord ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(340,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I9_J_0) ).
thf(1351,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(34,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( E @ tc_fun ) @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( E @ ( C @ ( A @ ( D @ c_Set_Oimage ) ) ) @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
thf(660,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( E @ tc_fun ) @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( E @ ( C @ ( A @ ( D @ c_Set_Oimage ) ) ) @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(180,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( C @ c_lessequals ) ) )
| ( A @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__iff_1) ).
thf(988,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( C @ c_lessequals ) ) )
| ( A @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(376,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_1) ).
thf(1433,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(363,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ( tc_Message_Omsg @ ( D @ c_Event_Oused @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( D @ ( C @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS1_0) ).
thf(1405,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ( tc_Message_Omsg @ ( D @ c_Event_Oused @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( D @ ( C @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(272,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__spies_0) ).
thf(1201,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(417,axiom,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__Key_0) ).
thf(1521,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[417]) ).
thf(497,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( D @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( C @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
thf(1696,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( D @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( C @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[497]) ).
thf(439,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) @ hBOOL )
| ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).
thf(1564,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) @ hBOOL )
| ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[439]) ).
thf(382,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OHash_0) ).
thf(1447,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(165,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).
thf(956,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(545,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( C @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).
thf(1796,plain,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( C @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[545]) ).
thf(215,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ c_Message_Oanalz @ ( B @ c_Message_Oanalz @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__cong_0) ).
thf(1072,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ c_Message_Oanalz @ ( B @ c_Message_Oanalz @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(237,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I61_J_0) ).
thf(1119,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(87,axiom,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__empty_0) ).
thf(774,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(575,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ tc_List_Olist @ ( C @ ( B @ c_List_Olists ) @ ( D @ c_in ) ) @ hBOOL )
| ~ ( C @ ( C @ ( D @ c_List_Oset ) @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lists__conv__set_0) ).
thf(1863,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ tc_List_Olist @ ( C @ ( B @ c_List_Olists ) @ ( D @ c_in ) ) @ hBOOL )
| ~ ( C @ ( C @ ( D @ c_List_Oset ) @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[575]) ).
thf(478,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Hash__synth__analz_1) ).
thf(1651,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[478]) ).
thf(216,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__inject_0) ).
thf(1074,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(275,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Crypt__if_1) ).
thf(1206,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(149,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
thf(920,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(158,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( A = E )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
thf(942,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( A = E )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(41,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__partition_0) ).
thf(678,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(496,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
thf(1691,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[496]) ).
thf(378,axiom,
! [B: $i,A: $i] :
( ~ ( c_Public_Okeymode_OSignature @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Public_Okeymode_OEncryption @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
thf(1438,plain,
! [B: $i,A: $i] :
( ~ ( c_Public_Okeymode_OSignature @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Public_Okeymode_OEncryption @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(95,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__sup__top_0) ).
thf(793,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(271,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__synth_0) ).
thf(1199,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(253,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_OOops_0) ).
thf(1153,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(101,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).
thf(810,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(393,axiom,
( ( v_x @ ( tc_bool @ ( t_a @ tc_fun ) @ c_Orderings_Obot__class_Obot @ hAPP ) )
= ( t_a @ ( tc_bool @ ( t_a @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( v_x @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__empty__eq_0) ).
thf(1470,plain,
( ( v_x @ ( tc_bool @ ( t_a @ tc_fun ) @ c_Orderings_Obot__class_Obot @ hAPP ) )
= ( t_a @ ( tc_bool @ ( t_a @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( v_x @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).
thf(540,axiom,
! [B: $i,A: $i] :
( ( A
= ( B @ c_List_Olist_ONil ) )
| ( ( B @ ( A @ c_List_Oset ) )
!= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty_0) ).
thf(1783,plain,
! [B: $i,A: $i] :
( ( A
= ( B @ c_List_Olist_ONil ) )
| ( ( B @ ( A @ c_List_Oset ) )
!= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[540]) ).
thf(322,axiom,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
thf(1311,plain,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(517,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
thf(1736,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[517]) ).
thf(514,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__synth__eq_1) ).
thf(1730,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[514]) ).
thf(532,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OAgent_0) ).
thf(1768,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[532]) ).
thf(59,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).
thf(714,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(305,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Crypt__if_0) ).
thf(1274,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(89,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
thf(778,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(342,axiom,
! [B: $i,A: $i] :
( ( tc_nat @ ( B @ c_Message_Oanalz @ c_Message_OkeysFor @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Key_0) ).
thf(1355,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( B @ c_Message_Oanalz @ c_Message_OkeysFor @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(296,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( B @ ( A @ c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2 ) @ ( B @ ( A @ c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 ) @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( B @ ( A @ c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 ) @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( c_Message_Oagent_OSpy @ c_Event_OinitState @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__imp__Says__Notes__initState_0) ).
thf(1255,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( B @ ( A @ c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2 ) @ ( B @ ( A @ c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 ) @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( B @ ( A @ c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 ) @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( c_Message_Oagent_OSpy @ c_Event_OinitState @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(489,axiom,
! [A: $i] :
( ( ( v_x @ ( A @ ( t_a @ tc_fun ) @ c_Orderings_Obot__class_Obot @ hAPP ) )
= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Orderings_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
thf(1676,plain,
! [A: $i] :
( ( ( v_x @ ( A @ ( t_a @ tc_fun ) @ c_Orderings_Obot__class_Obot @ hAPP ) )
= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Orderings_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[489]) ).
thf(485,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_1) ).
thf(1666,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[485]) ).
thf(349,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
thf(1370,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(102,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ c_List_Olist_ONil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).
thf(815,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ c_List_Olist_ONil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(437,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ~ ( B @ ( C @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).
thf(1560,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ~ ( B @ ( C @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[437]) ).
thf(239,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__notin__image__privateKey_0) ).
thf(1123,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(122,axiom,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_HOL_Ouminus__class_Ouminus ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__empty__eq_0) ).
thf(862,plain,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_HOL_Ouminus__class_Ouminus ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(408,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( D @ ( F @ ( E @ ( A @ c_Set_Oimage ) ) ) @ c_lessequals ) ) )
| ~ ( F @ ( E @ ( B @ c_in ) ) @ hBOOL )
| ( D @ ( C @ ( B @ ( A @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
thf(1502,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( D @ ( F @ ( E @ ( A @ c_Set_Oimage ) ) ) @ c_lessequals ) ) )
| ~ ( F @ ( E @ ( B @ c_in ) ) @ hBOOL )
| ( D @ ( C @ ( B @ ( A @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[408]) ).
thf(524,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( A @ ( C @ v_sko__List__Xlists__Xinducts__2 ) @ ( A @ ( C @ v_sko__List__Xlists__Xinducts__1 ) @ c_List_Olist_OCons ) ) @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Oinducts_3) ).
thf(1751,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( A @ ( C @ v_sko__List__Xlists__Xinducts__2 ) @ ( A @ ( C @ v_sko__List__Xlists__Xinducts__1 ) @ c_List_Olist_OCons ) ) @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[524]) ).
thf(104,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
thf(820,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(147,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI1_0) ).
thf(916,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(116,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( C @ ( B @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
thf(847,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( C @ ( B @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(347,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL )
| ( A = D )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertE_0) ).
thf(1365,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL )
| ( A = D )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(20,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) )
!= ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
thf(625,plain,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) )
!= ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(130,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( A = E )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
thf(879,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( A = E )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(263,axiom,
tc_Event_Oevent @ c_List_Olist_ONil @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).
thf(1178,plain,
tc_Event_Oevent @ c_List_Olist_ONil @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(585,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( B @ ( c_Public_OshrK @ hAPP ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__injective_0) ).
thf(1888,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( B @ ( c_Public_OshrK @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[585]) ).
thf(555,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__spies__bad__privateKey_0) ).
thf(1819,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[555]) ).
thf(136,axiom,
tc_nat @ class_Lattices_Olattice,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
thf(889,plain,
tc_nat @ class_Lattices_Olattice,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(81,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
thf(757,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(242,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__image__eq_0) ).
thf(1128,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(232,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( B @ ( B @ ( A @ ( C @ c_List_Olist_OCons ) ) @ c_List_Oset ) @ ( B @ ( A @ c_List_Oset ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__subset__Cons_0) ).
thf(1106,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( B @ ( B @ ( A @ ( C @ c_List_Olist_OCons ) ) @ c_List_Oset ) @ ( B @ ( A @ c_List_Oset ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(563,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).
thf(1837,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[563]) ).
thf(455,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
thf(1602,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[455]) ).
thf(494,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( C @ ( B @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( A @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__image__eq_2) ).
thf(1687,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( C @ ( B @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( A @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[494]) ).
thf(387,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
thf(1457,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).
thf(218,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( D @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( D @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut_0) ).
thf(1079,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( D @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( D @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(197,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OHash ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I47_J_0) ).
thf(1027,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OHash ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(43,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
thf(682,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(364,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( C @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
thf(1407,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( C @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(313,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lemma2_0) ).
thf(1291,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(57,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert2_0) ).
thf(710,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(361,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Agent__synth_0) ).
thf(1402,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(344,axiom,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_0) ).
thf(1360,plain,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(74,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
thf(742,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(128,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( C @ ( B @ ( A @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
thf(874,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( C @ ( B @ ( A @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(529,axiom,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Event_Oevent @ c_List_Olist_ONil @ c_Event_Oused @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__used__empty_0) ).
thf(1762,plain,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Event_Oevent @ c_List_Olist_ONil @ c_Event_Oused @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[529]) ).
thf(30,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).
thf(650,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(329,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__into__parts_0) ).
thf(1328,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(284,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
thf(1227,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(572,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I41_J_0) ).
thf(1856,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[572]) ).
thf(427,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__analz__shrK_1) ).
thf(1540,plain,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[427]) ).
thf(125,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
thf(869,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(91,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
thf(783,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(120,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I65_J_0) ).
thf(857,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(534,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( D @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).
thf(1772,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( D @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[534]) ).
thf(298,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__into__used_0) ).
thf(1259,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(424,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( E @ ( A @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS2_0) ).
thf(1534,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( E @ ( A @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[424]) ).
thf(544,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__trans_0) ).
thf(1794,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[544]) ).
thf(549,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I5_J_0) ).
thf(1804,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[549]) ).
thf(15,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
thf(615,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(350,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( A @ ( C @ v_sko__List__Xlists__Xinduct__2 ) @ ( A @ ( C @ v_sko__List__Xlists__Xinduct__1 ) @ c_List_Olist_OCons ) ) @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Oinduct_3) ).
thf(1375,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( A @ ( C @ v_sko__List__Xlists__Xinduct__2 ) @ ( A @ ( C @ v_sko__List__Xlists__Xinduct__1 ) @ c_List_Olist_OCons ) ) @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(238,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( A @ ( C @ v_sko__List__Xlists__Xinduct__2 ) @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Oinduct_1) ).
thf(1121,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( A @ ( C @ v_sko__List__Xlists__Xinduct__2 ) @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(178,axiom,
! [C: $i,B: $i,A: $i] :
( ( A
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_0) ).
thf(980,plain,
! [C: $i,B: $i,A: $i] :
( ( A
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(406,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).
thf(1498,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[406]) ).
thf(403,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( C @ ( A @ ( C @ v_sko__List__Xlists__Xinduct__1 ) @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Oinduct_0) ).
thf(1493,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( C @ ( A @ ( C @ v_sko__List__Xlists__Xinduct__1 ) @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).
thf(132,axiom,
tc_nat @ class_Orderings_Olinorder,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
thf(884,plain,
tc_nat @ class_Orderings_Olinorder,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(220,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__iff_0) ).
thf(1082,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(482,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_1) ).
thf(1659,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[482]) ).
thf(265,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__trans_0) ).
thf(1182,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(389,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I12_J_0) ).
thf(1461,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).
thf(372,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Notes_0) ).
thf(1424,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(499,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__knows_0) ).
thf(1700,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[499]) ).
thf(2,negated_conjecture,
! [A: $i] :
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs @ c_List_Oset ) @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ ( A @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(590,plain,
! [A: $i] :
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs @ c_List_Oset ) @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ ( A @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(475,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ hAPP ) @ hBOOL )
| ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).
thf(1644,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ hAPP ) @ hBOOL )
| ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[475]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ c_Message_Oparts @ c_Message_Oparts )
= ( A @ c_Message_Oparts ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__idem_0) ).
thf(706,plain,
! [A: $i] :
( ( A @ c_Message_Oparts @ c_Message_Oparts )
= ( A @ c_Message_Oparts ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(141,axiom,
! [A: $i] :
( ( ( A @ ( A @ c_Orderings_Obot__class_Obot @ c_HOL_Ouminus__class_Ouminus ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__bot__eq_0) ).
thf(901,plain,
! [A: $i] :
( ( ( A @ ( A @ c_Orderings_Obot__class_Obot @ c_HOL_Ouminus__class_Ouminus ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(45,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
thf(686,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(551,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS4_0) ).
thf(1810,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[551]) ).
thf(543,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pubK__neq__shrK_0) ).
thf(1791,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[543]) ).
thf(460,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).
thf(1612,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[460]) ).
thf(173,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C
= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( D @ ( C @ ( B @ c_Set_Oimage ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
thf(970,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C
= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( D @ ( C @ ( B @ c_Set_Oimage ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(254,axiom,
! [B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( A @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ( B
= ( t_a @ c_List_Olist_ONil ) )
| ( t_a @ ( A @ ( B @ ( A @ v_sko__List__Xlists__Xcases__1 ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Ocases_1) ).
thf(1155,plain,
! [B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( A @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ( B
= ( t_a @ c_List_Olist_ONil ) )
| ( t_a @ ( A @ ( B @ ( A @ v_sko__List__Xlists__Xcases__1 ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(520,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__partsD_0) ).
thf(1744,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[520]) ).
thf(111,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
thf(837,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(450,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( v_x @ ( A @ ( t_a @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) )
= ( A @ ( v_x @ ( C @ hAPP ) @ ( v_x @ ( B @ hAPP ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__fun__eq_0) ).
thf(1588,plain,
! [C: $i,B: $i,A: $i] :
( ( ( v_x @ ( A @ ( t_a @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) )
= ( A @ ( v_x @ ( C @ hAPP ) @ ( v_x @ ( B @ hAPP ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[450]) ).
thf(52,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__mono_0) ).
thf(701,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(397,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( F @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( E @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( F @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( F @ c_List_Oset ) @ ( E @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
thf(1478,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( F @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( E @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( F @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( F @ c_List_Oset ) @ ( E @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).
thf(316,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__synth__eq_1) ).
thf(1297,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(384,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__synthD_0) ).
thf(1451,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(422,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL )
| ( B = c_Message_Oagent_OSpy )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( C @ ( A @ ( B @ c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 ) ) @ ( B @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_OGets ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).
thf(1530,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL )
| ( B = c_Message_Oagent_OSpy )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( C @ ( A @ ( B @ c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 ) ) @ ( B @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_OGets ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[422]) ).
thf(32,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
thf(654,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(486,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__neq__priK_0) ).
thf(1668,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[486]) ).
thf(269,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_1) ).
thf(1192,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(63,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
thf(721,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(570,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
thf(1852,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[570]) ).
thf(580,axiom,
! [B: $i,A: $i] :
( ( A @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) )
!= ( B @ ( c_Public_OshrK @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_priEK__noteq__shrK_0) ).
thf(1874,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) )
!= ( B @ ( c_Public_OshrK @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[580]) ).
thf(293,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ ( A @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( C @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__subset__Un_0) ).
thf(1246,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ ( A @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( C @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(509,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OFst_0) ).
thf(1720,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[509]) ).
thf(357,axiom,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).
thf(1393,plain,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(29,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
= ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
thf(647,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
= ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(536,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ c_HOL_Ouminus__class_Ouminus ) @ ( C @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( tc_Message_Omsg @ ( tc_nat @ ( C @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( C @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK_0) ).
thf(1776,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ c_HOL_Ouminus__class_Ouminus ) @ ( C @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( tc_Message_Omsg @ ( tc_nat @ ( C @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( C @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[536]) ).
thf(300,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_3) ).
thf(1263,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(185,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_0) ).
thf(997,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(302,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_4) ).
thf(1266,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(286,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__parts__subset__parts_0) ).
thf(1231,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(468,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).
thf(1627,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[468]) ).
thf(419,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_Message_Omsg @ ( C @ ( D @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( D @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
thf(1525,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_Message_Omsg @ ( C @ ( D @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( D @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).
thf(332,axiom,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__synth_0) ).
thf(1333,plain,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(325,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Decrypt_H_0) ).
thf(1318,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(291,axiom,
( ( ( v_x @ ( t_b @ ( t_a @ tc_fun ) @ ( v_A @ c_HOL_Ouminus__class_Ouminus ) @ hAPP ) )
= ( t_b @ ( v_x @ ( v_A @ hAPP ) @ c_HOL_Ouminus__class_Ouminus ) ) )
| ~ ( t_b @ class_HOL_Ouminus ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__Compl__def__raw_0) ).
thf(1241,plain,
( ( ( v_x @ ( t_b @ ( t_a @ tc_fun ) @ ( v_A @ c_HOL_Ouminus__class_Ouminus ) @ hAPP ) )
= ( t_b @ ( v_x @ ( v_A @ hAPP ) @ c_HOL_Ouminus__class_Ouminus ) ) )
| ~ ( t_b @ class_HOL_Ouminus ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(23,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
thf(633,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(33,axiom,
! [C: $i,B: $i,A: $i] :
( ( B
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
thf(657,plain,
! [C: $i,B: $i,A: $i] :
( ( B
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(200,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_priK__neq__shrK_0) ).
thf(1035,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(391,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( A @ ( C @ v_sko__List__Xlists__Xinducts__2 ) @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Oinducts_1) ).
thf(1466,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( A @ ( C @ v_sko__List__Xlists__Xinducts__2 ) @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).
thf(39,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
thf(674,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(463,axiom,
! [A: $i] :
( ( A @ c_Message_Oanalz @ c_Message_Oparts )
= ( A @ c_Message_Oparts ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__analz_0) ).
thf(1616,plain,
! [A: $i] :
( ( A @ c_Message_Oanalz @ c_Message_Oparts )
= ( A @ c_Message_Oparts ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[463]) ).
thf(163,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__subset_0) ).
thf(953,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(515,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).
thf(1732,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[515]) ).
thf(553,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OAgent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I11_J_0) ).
thf(1814,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[553]) ).
thf(222,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( A @ ( C @ v_sko__List__Xlists__Xinduct__2 ) @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Oinduct_2) ).
thf(1086,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( A @ ( C @ v_sko__List__Xlists__Xinduct__2 ) @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(156,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( A @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
thf(938,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( A @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(567,axiom,
! [A: $i] :
~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__emptyE_0) ).
thf(1846,plain,
! [A: $i] :
~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[567]) ).
thf(207,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).
thf(1054,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(35,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un__subset2_0) ).
thf(662,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(61,axiom,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_1) ).
thf(718,plain,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(135,axiom,
tc_bool @ class_HOL_Ouminus,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Ouminus) ).
thf(888,plain,
tc_bool @ class_HOL_Ouminus,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(477,axiom,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I31_J_0) ).
thf(1648,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[477]) ).
thf(250,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I10_J_0) ).
thf(1146,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(106,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OHash ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I32_J_0) ).
thf(824,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(432,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( A @ ( C @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL )
| ( C = B )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
thf(1548,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( A @ ( C @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL )
| ( C = B )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[432]) ).
thf(75,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).
thf(745,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(46,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un__subset1_0) ).
thf(689,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(170,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
thf(965,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(77,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( E @ ( A @ c_Set_Oimage ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__mono_0) ).
thf(750,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( E @ ( A @ c_Set_Oimage ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(512,axiom,
! [B: $i,A: $i] : ( B @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__iff_1) ).
thf(1727,plain,
! [B: $i,A: $i] : ( B @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[512]) ).
thf(16,axiom,
tc_nat @ class_Lattices_Oupper__semilattice,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
thf(618,plain,
tc_nat @ class_Lattices_Oupper__semilattice,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(530,axiom,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OAgent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I13_J_0) ).
thf(1764,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[530]) ).
thf(498,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( A @ ( I @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( H @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS5_0) ).
thf(1698,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( A @ ( I @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( H @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[498]) ).
thf(231,axiom,
! [C: $i,B: $i,A: $i] :
( ( B = c_Message_Oagent_OSpy )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_OGets ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Gets__imp__knows__agents_0) ).
thf(1103,plain,
! [C: $i,B: $i,A: $i] :
( ( B = c_Message_Oagent_OSpy )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_OGets ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(318,axiom,
( ( v_x @ c_NS__Shared__Mirabelle_Ons__sharedp )
= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_x @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp__ns__shared__eq_0) ).
thf(1301,plain,
( ( v_x @ c_NS__Shared__Mirabelle_Ons__sharedp )
= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_x @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(453,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( C @ ( B @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_OFake_0) ).
thf(1595,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( C @ ( B @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[453]) ).
thf(470,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__empty_0) ).
thf(1631,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[470]) ).
thf(69,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI2_0) ).
thf(733,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(561,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( A @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Notes_0) ).
thf(1833,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( A @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[561]) ).
thf(49,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__anti__mono_0) ).
thf(694,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(86,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( A @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__imp__neg__le_0) ).
thf(772,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( A @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(465,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I4_J_0) ).
thf(1620,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[465]) ).
thf(355,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).
thf(1388,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(500,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Key_0) ).
thf(1701,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[500]) ).
thf(401,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).
thf(1488,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).
thf(142,axiom,
! [C: $i,B: $i,A: $i] :
( ( C
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
thf(904,plain,
! [C: $i,B: $i,A: $i] :
( ( C
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(175,axiom,
tc_nat @ class_HOL_Oord,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
thf(975,plain,
tc_nat @ class_HOL_Oord,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(114,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).
thf(843,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(240,axiom,
! [B: $i,A: $i] : ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
thf(1125,plain,
! [B: $i,A: $i] : ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(166,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
thf(958,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(362,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I1_J_0) ).
thf(1403,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(374,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( D @ c_Event_Oused @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS1_0) ).
thf(1428,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( D @ c_Event_Oused @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(541,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).
thf(1786,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[541]) ).
thf(155,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_0) ).
thf(936,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(503,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__synth_0) ).
thf(1707,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[503]) ).
thf(304,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I7_J_0) ).
thf(1271,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(576,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( F @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cert__A__form_0) ).
thf(1865,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( F @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[576]) ).
thf(472,axiom,
! [A: $i] :
( c_Message_Oagent_OServer
!= ( A @ c_Message_Oagent_OFriend ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).
thf(1635,plain,
! [A: $i] :
( c_Message_Oagent_OServer
!= ( A @ c_Message_Oagent_OFriend ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[472]) ).
thf(225,axiom,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__in__initState_0) ).
thf(1092,plain,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(224,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Hash_0) ).
thf(1090,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(390,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( C @ ( B @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_OFake_0) ).
thf(1464,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( C @ ( B @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).
thf(209,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
= B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
thf(1058,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(233,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OHash ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I45_J_0) ).
thf(1107,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OHash ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(473,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I36_J_0) ).
thf(1638,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[473]) ).
thf(283,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) @ hBOOL )
| ( ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) )
= ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__image_0) ).
thf(1224,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) @ hBOOL )
| ( ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) )
= ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(84,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_ONonce ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I3_J_0) ).
thf(764,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_ONonce ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(276,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Key_0) ).
thf(1209,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(365,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( D @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__S__message__form_0) ).
thf(1408,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( D @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(308,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subsetD_0) ).
thf(1282,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(236,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
thf(1117,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(443,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I39_J_0) ).
thf(1574,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[443]) ).
thf(339,axiom,
! [B: $i,A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__symKeys__pubK_0) ).
thf(1349,plain,
! [B: $i,A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(181,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL )
| ( B @ ( C @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1E_0) ).
thf(990,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL )
| ( B @ ( C @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(456,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
thf(1603,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[456]) ).
thf(428,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Agent_0) ).
thf(1542,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[428]) ).
thf(71,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__le__iff__le_0) ).
thf(737,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(547,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( D @ ( C @ ( B @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Says_0) ).
thf(1801,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( D @ ( C @ ( B @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[547]) ).
thf(262,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OCrypt ) @ ( B @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( A
= ( B @ ( c_Public_OshrK @ hAPP ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_2) ).
thf(1175,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OCrypt ) @ ( B @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( A
= ( B @ ( c_Public_OshrK @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(510,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( D @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( A @ ( C @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__image__eq_1) ).
thf(1722,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( D @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( A @ ( C @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[510]) ).
thf(249,axiom,
! [A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symKey__neq__priEK_0) ).
thf(1144,plain,
! [A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(441,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( D @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rangeI_0) ).
thf(1571,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( D @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[441]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_0) ).
thf(599,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(137,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
thf(890,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(581,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ c_HOL_Ouminus__class_Ouminus ) @ ( B @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK_2) ).
thf(1877,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ c_HOL_Ouminus__class_Ouminus ) @ ( B @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[581]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Olattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
thf(631,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Olattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(335,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert_0) ).
thf(1339,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_HOL_Ouminus__class_Ouminus ) )
= B )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__compl_0) ).
thf(609,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_HOL_Ouminus__class_Ouminus ) )
= B )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(556,axiom,
! [A: $i] :
( ( tc_Event_Oevent @ c_List_Olist_ONil @ ( A @ c_Event_Oknows ) )
= ( A @ c_Event_OinitState ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
thf(1821,plain,
! [A: $i] :
( ( tc_Event_Oevent @ c_List_Olist_ONil @ ( A @ c_Event_Oknows ) )
= ( A @ c_Event_OinitState ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[556]) ).
thf(18,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
thf(621,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(138,axiom,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__synth_0) ).
thf(895,plain,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(251,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( C @ c_Event_Oused ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Gets_0) ).
thf(1149,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( C @ c_Event_Oused ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(337,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lemma1_0) ).
thf(1344,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(195,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ c_in ) ) @ hBOOL )
| ~ ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ComplD_0) ).
thf(1022,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ c_in ) ) @ hBOOL )
| ~ ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(314,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OInj_0) ).
thf(1293,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(210,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( B @ c_Message_OkeysFor @ ( A @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
thf(1061,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( B @ c_Message_OkeysFor @ ( A @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(98,axiom,
! [C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_1) ).
thf(799,plain,
! [C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(66,axiom,
tc_bool @ class_Lattices_Olattice,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
thf(726,plain,
tc_bool @ class_Lattices_Olattice,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(435,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
thf(1556,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[435]) ).
thf(85,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
thf(769,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(179,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Oagent_OFriend )
!= ( B @ c_Message_Oagent_OFriend ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Oinject_0) ).
thf(983,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Oagent_OFriend )
!= ( B @ c_Message_Oagent_OFriend ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(565,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I8_J_0) ).
thf(1841,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[565]) ).
thf(167,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
thf(959,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(203,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( C @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__notin__image__privateKey_0) ).
thf(1044,plain,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( C @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(192,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
thf(1015,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(12,axiom,
tc_bool @ class_Lattices_Obounded__lattice,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
thf(608,plain,
tc_bool @ class_Lattices_Obounded__lattice,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(396,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Gets_0) ).
thf(1477,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).
thf(346,axiom,
! [B: $i,A: $i] : ( A @ tc_List_Olist @ ( A @ ( B @ c_List_Olists ) @ ( A @ c_List_Olist_ONil @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_ONil_0) ).
thf(1364,plain,
! [B: $i,A: $i] : ( A @ tc_List_Olist @ ( A @ ( B @ c_List_Olists ) @ ( A @ c_List_Olist_ONil @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(150,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ c_HOL_Ouminus__class_Ouminus ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__complement_0) ).
thf(922,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ c_HOL_Ouminus__class_Ouminus ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(438,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Nonce_0) ).
thf(1562,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[438]) ).
thf(145,axiom,
tc_bool @ class_HOL_Oord,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
thf(912,plain,
tc_bool @ class_HOL_Oord,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(260,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).
thf(1171,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(278,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I2_J_0) ).
thf(1213,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(107,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( A @ ( D @ c_Set_Oinsert ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_1) ).
thf(827,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( A @ ( D @ c_Set_Oinsert ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(212,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ c_HOL_Ouminus__class_Ouminus ) @ ( B @ c_lessequals ) ) )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK_1) ).
thf(1066,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ c_HOL_Ouminus__class_Ouminus ) @ ( B @ c_lessequals ) ) )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(381,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( E @ ( D @ ( C @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( E @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( D @ ( C @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I12_J_0) ).
thf(1445,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( E @ ( D @ ( C @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( E @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( D @ ( C @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(447,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_ODecrypt_0) ).
thf(1583,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[447]) ).
thf(483,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__image__eq_1) ).
thf(1662,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[483]) ).
thf(42,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( D @ ( A @ c_Set_Oinsert ) ) @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).
thf(680,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( D @ ( A @ c_Set_Oinsert ) ) @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(36,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__compl__top_0) ).
thf(663,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(370,axiom,
! [A: $i] :
( ( A @ c_Message_Oagent_OFriend @ c_Event_OinitState )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Message_Oagent_OFriend @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( A @ c_Message_Oagent_OFriend @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( A @ c_Message_Oagent_OFriend @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__Friend_0) ).
thf(1420,plain,
! [A: $i] :
( ( A @ c_Message_Oagent_OFriend @ c_Event_OinitState )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Message_Oagent_OFriend @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( A @ c_Message_Oagent_OFriend @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( A @ c_Message_Oagent_OFriend @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(152,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__partition2_0) ).
thf(927,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(492,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__cut_0) ).
thf(1684,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[492]) ).
thf(306,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OCrypt_0) ).
thf(1277,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(245,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).
thf(1134,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(412,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) @ hBOOL )
| ~ ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__empty_0) ).
thf(1509,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) @ hBOOL )
| ~ ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[412]) ).
thf(219,axiom,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__pubK_0) ).
thf(1081,plain,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(157,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= C )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
thf(939,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= C )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(394,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I19_J_0) ).
thf(1472,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).
thf(193,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).
thf(1018,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(79,axiom,
tc_nat @ class_Orderings_Obot,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
thf(754,plain,
tc_nat @ class_Orderings_Obot,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(172,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ( A @ ( C @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__iff_0) ).
thf(968,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ( A @ ( C @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(433,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__iff_1) ).
thf(1551,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[433]) ).
thf(205,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( C @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__MPair_0) ).
thf(1049,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( C @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(527,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).
thf(1758,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[527]) ).
thf(258,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
thf(1166,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(273,axiom,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__into__used_0) ).
thf(1203,plain,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(6,negated_conjecture,
tc_Message_Omsg @ ( v_evs @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(589,plain,
tc_Message_Omsg @ ( v_evs @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(546,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( B @ c_Message_Oanalz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
thf(1798,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( B @ c_Message_Oanalz ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[546]) ).
thf(26,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
thf(640,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(54,axiom,
tc_bool @ class_Orderings_Obot,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
thf(705,plain,
tc_bool @ class_Orderings_Obot,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(519,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert_0) ).
thf(1743,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[519]) ).
thf(440,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
thf(1566,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[440]) ).
thf(164,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_nat @ tc_fun ) @ ( B @ c_Message_OkeysFor @ ( A @ c_Message_OkeysFor @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__mono_0) ).
thf(954,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_nat @ tc_fun ) @ ( B @ c_Message_OkeysFor @ ( A @ c_Message_OkeysFor @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(72,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
thf(739,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(348,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__synth__eq_0) ).
thf(1368,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(538,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I11_J_0) ).
thf(1780,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[538]) ).
thf(525,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I37_J_0) ).
thf(1753,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[525]) ).
thf(431,axiom,
! [A: $i] : ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__shrK_0) ).
thf(1547,plain,
! [A: $i] : ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[431]) ).
thf(88,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
thf(776,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(522,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
thf(1748,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[522]) ).
thf(58,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_1) ).
thf(712,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(188,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_0) ).
thf(1003,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(47,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__least_0) ).
thf(690,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(415,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( A @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS2_0) ).
thf(1516,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( A @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[415]) ).
thf(214,axiom,
( ( c_Message_Oagent_OServer @ c_Event_OinitState )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Message_Oagent_OServer @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( c_Message_Oagent_OServer @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__Server_0) ).
thf(1070,plain,
( ( c_Message_Oagent_OServer @ c_Event_OinitState )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Message_Oagent_OServer @ ( c_Public_Okeymode_OSignature @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( c_Message_Oagent_OServer @ ( c_Public_Okeymode_OEncryption @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(127,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
thf(872,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(505,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__sing_0) ).
thf(1711,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[505]) ).
thf(507,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
thf(1716,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[507]) ).
thf(94,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un_0) ).
thf(791,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(267,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I16_J_0) ).
thf(1186,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(201,axiom,
! [A: $i] :
( ( A @ c_Message_Oagent_OFriend )
!= c_Message_Oagent_OSpy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I6_J_0) ).
thf(1038,plain,
! [A: $i] :
( ( A @ c_Message_Oagent_OFriend )
!= c_Message_Oagent_OSpy ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(113,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
thf(840,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(288,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( E @ c_Message_Omsg_OAgent @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( E @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ ( C @ ( A @ v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 ) ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_secrecy__lemma_0) ).
thf(1235,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( E @ c_Message_Omsg_OAgent @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( E @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ ( C @ ( A @ v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 ) ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(560,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I8_J_0) ).
thf(1830,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[560]) ).
thf(426,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( A @ ( C @ v_sko__List__Xlists__Xinducts__2 ) @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_Oinducts_2) ).
thf(1538,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( t_a @ tc_List_Olist @ ( t_a @ ( C @ c_List_Olists ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( t_a @ c_List_Olist_ONil @ ( A @ hAPP ) @ hBOOL )
| ( A @ ( C @ v_sko__List__Xlists__Xinducts__2 ) @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[426]) ).
thf(490,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__eq_1) ).
thf(1679,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[490]) ).
thf(27,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
thf(643,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(281,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).
thf(1220,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(143,axiom,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_HOL_Ouminus__class_Ouminus ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__UNIV__eq_0) ).
thf(907,plain,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_HOL_Ouminus__class_Ouminus ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(243,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__notin__image__publicKey_0) ).
thf(1130,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(445,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( C @ ( A @ ( D @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
thf(1579,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( C @ ( A @ ( D @ c_in ) ) @ hBOOL )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[445]) ).
thf(310,axiom,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__image__Key_0) ).
thf(1285,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(280,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__used_0) ).
thf(1218,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(343,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
thf(1358,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(297,axiom,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_nat @ ( B @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__image__eq_1) ).
thf(1257,plain,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_nat @ ( B @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(53,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Orderings_Obot )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
thf(703,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Orderings_Obot )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(425,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( D @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( D @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_1) ).
thf(1536,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( D @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( D @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[425]) ).
thf(548,axiom,
! [A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) )
= ( A @ ( c_Public_OshrK @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
thf(1802,plain,
! [A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) )
= ( A @ ( c_Public_OshrK @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[548]) ).
thf(309,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( C @ ( B @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Notes_0) ).
thf(1284,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( C @ ( B @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(341,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__freshK_2) ).
thf(1353,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(123,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
thf(864,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(189,axiom,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__empty_0) ).
thf(1008,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ( ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) )
!= ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) ) )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
thf(612,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ( ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) )
!= ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) ) )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(129,axiom,
! [A: $i] :
( ( ( A @ ( A @ c_Orderings_Otop__class_Otop @ c_HOL_Ouminus__class_Ouminus ) )
= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__top__eq_0) ).
thf(876,plain,
! [A: $i] :
( ( ( A @ ( A @ c_Orderings_Otop__class_Otop @ c_HOL_Ouminus__class_Ouminus ) )
= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Oboolean__algebra ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(121,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( B = D )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
thf(859,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( B = D )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(290,axiom,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__into__used_0) ).
thf(1240,plain,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(400,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( D @ ( A @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__ident_0) ).
thf(1485,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( D @ ( A @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).
thf(410,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__trans_0) ).
thf(1506,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[410]) ).
thf(409,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OMPair_0) ).
thf(1504,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[409]) ).
thf(67,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
thf(727,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(448,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).
thf(1585,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[448]) ).
thf(177,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( C @ c_lessequals ) ) )
| ( A @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__iff_0) ).
thf(978,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( A @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( C @ c_lessequals ) ) )
| ( A @ ( A @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_OrderedGroup_Opordered__ab__group__add ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(247,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( D @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( A @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_1) ).
thf(1140,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( D @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( A @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(115,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
thf(845,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(564,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Hash__synth__analz_0) ).
thf(1839,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[564]) ).
thf(221,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).
thf(1084,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(388,axiom,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
thf(1459,plain,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).
thf(434,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) @ hBOOL )
| ( A
= ( D @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
thf(1553,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) @ hBOOL )
| ( A
= ( D @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[434]) ).
thf(327,axiom,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Hash__notin__image__Key_0) ).
thf(1321,plain,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(176,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
thf(976,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(367,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I30_J_0) ).
thf(1412,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(241,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( G @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_0) ).
thf(1126,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( G @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(268,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I49_J_0) ).
thf(1189,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(38,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
thf(671,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(554,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) @ hBOOL )
| ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).
thf(1817,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) @ hBOOL )
| ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[554]) ).
thf(190,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I44_J_0) ).
thf(1010,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(356,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
thf(1390,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(312,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
thf(1289,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(385,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__used_0) ).
thf(1453,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(516,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Says_0) ).
thf(1734,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[516]) ).
thf(550,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OAgent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I15_J_0) ).
thf(1807,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[550]) ).
thf(476,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_1) ).
thf(1646,plain,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[476]) ).
thf(169,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
thf(963,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(336,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__neq__privateKey_0) ).
thf(1341,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(411,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Event_Oused @ ( tc_Event_Oevent @ c_List_Olist_ONil @ c_Event_Oused @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__nil__subset_0) ).
thf(1508,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Event_Oused @ ( tc_Event_Oevent @ c_List_Olist_ONil @ c_Event_Oused @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[411]) ).
thf(31,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
thf(652,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(469,axiom,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__image__eq_0) ).
thf(1629,plain,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[469]) ).
thf(571,axiom,
! [A: $i] :
( ( A @ c_Message_Oparts @ c_Message_Oanalz )
= ( A @ c_Message_Oparts ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__parts_0) ).
thf(1854,plain,
! [A: $i] :
( ( A @ c_Message_Oparts @ c_Message_Oanalz )
= ( A @ c_Message_Oparts ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[571]) ).
thf(292,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( A @ ( D @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
thf(1244,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( A @ ( D @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(418,axiom,
! [A: $i] :
( ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).
thf(1523,plain,
! [A: $i] :
( ( A @ ( c_Message_OinvKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[418]) ).
thf(92,axiom,
! [C: $i,B: $i,A: $i] :
( A
!= ( C @ ( A @ ( B @ c_List_Olist_OCons ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
thf(786,plain,
! [C: $i,B: $i,A: $i] :
( A
!= ( C @ ( A @ ( B @ c_List_Olist_OCons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(90,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
thf(781,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(1,negated_conjecture,
tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs @ c_List_Oset ) @ ( v_X @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( v_B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_OMPair ) @ ( v_K_H @ c_Message_Omsg_OCrypt ) @ ( v_A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(588,plain,
tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs @ c_List_Oset ) @ ( v_X @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( v_B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_OMPair ) @ ( v_K_H @ c_Message_Omsg_OCrypt ) @ ( v_A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(295,axiom,
! [B: $i,A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__symKeys__priK_0) ).
thf(1253,plain,
! [B: $i,A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(160,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I33_J_0) ).
thf(946,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(230,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
thf(1101,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(184,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__notin__image__shrK_0) ).
thf(995,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(436,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( A @ ( C @ ( D @ hAPP ) @ ( C @ ( B @ hAPP ) @ c_lessequals ) ) )
| ~ ( A @ class_HOL_Oord ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__funD_0) ).
thf(1558,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( A @ ( C @ ( D @ hAPP ) @ ( C @ ( B @ hAPP ) @ c_lessequals ) ) )
| ~ ( A @ class_HOL_Oord ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[436]) ).
thf(574,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_1) ).
thf(1861,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[574]) ).
thf(198,axiom,
! [A: $i] :
( c_Message_Oagent_OSpy
!= ( A @ c_Message_Oagent_OFriend ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).
thf(1030,plain,
! [A: $i] :
( c_Message_Oagent_OSpy
!= ( A @ c_Message_Oagent_OFriend ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(495,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( C @ ( B @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( A @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_2) ).
thf(1689,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( C @ ( B @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( A @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[495]) ).
thf(321,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
thf(1308,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(217,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( D @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_0) ).
thf(1077,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( D @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(140,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( E @ ( A @ c_Set_Oimage ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( D @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oimage ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I57_J_0) ).
thf(899,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( E @ ( A @ c_Set_Oimage ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( D @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oimage ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(379,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I35_J_0) ).
thf(1440,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(153,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OHash ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I5_J_0) ).
thf(929,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OHash ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(109,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).
thf(832,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(44,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
thf(684,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(60,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__least_0) ).
thf(716,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(256,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I48_J_0) ).
thf(1161,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(462,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__MPair_0) ).
thf(1614,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[462]) ).
thf(186,axiom,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
= ( A @ ( A @ c_List_Olist_ONil @ c_List_Oset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty2_1) ).
thf(999,plain,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
= ( A @ ( A @ c_List_Olist_ONil @ c_List_Oset ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(78,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( E @ tc_fun ) @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( E @ ( D @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Un_0) ).
thf(752,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( E @ tc_fun ) @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( E @ ( D @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(535,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) @ c_List_Oset ) )
= ( C @ ( C @ ( B @ c_List_Oset ) @ ( A @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
thf(1774,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) @ c_List_Oset ) )
= ( C @ ( C @ ( B @ c_List_Oset ) @ ( A @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[535]) ).
thf(171,axiom,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_HOL_Ouminus__class_Ouminus ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_1) ).
thf(967,plain,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_HOL_Ouminus__class_Ouminus ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(285,axiom,
! [A: $i] :
~ ( tc_Message_Omsg @ ( tc_Event_Oevent @ c_List_Olist_ONil @ c_Event_Oused @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__notin__used__empty_0) ).
thf(1229,plain,
! [A: $i] :
~ ( tc_Message_Omsg @ ( tc_Event_Oevent @ c_List_Olist_ONil @ c_Event_Oused @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(103,axiom,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_2) ).
thf(818,plain,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(294,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = F )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
thf(1248,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = F )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(124,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__mono_0) ).
thf(867,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(398,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth_1) ).
thf(1480,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).
thf(603,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(70,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__mono_0) ).
thf(735,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(162,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ c_List_Olist_ONil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).
thf(950,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ c_List_Olist_ONil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(228,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_0) ).
thf(1097,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(358,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I17_J_0) ).
thf(1395,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(467,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insertI_0) ).
thf(1625,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[467]) ).
thf(452,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ ( B @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( C @ ( B @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I5_J_0) ).
thf(1593,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ ( B @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( C @ ( B @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[452]) ).
thf(352,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( C @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__image__eq_0) ).
thf(1380,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( c_Message_OinvKey @ c_Set_Oimage ) ) ) @ ( C @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(119,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_0) ).
thf(854,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(319,axiom,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__image__eq_1) ).
thf(1303,plain,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(420,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
thf(1527,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[420]) ).
thf(488,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( A = C )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__freshK_0) ).
thf(1673,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( C @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( A = C )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[488]) ).
thf(148,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_0) ).
thf(918,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(404,axiom,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).
thf(1495,plain,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[404]) ).
thf(481,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( D @ ( A @ c_Event_Oknows ) @ ( C @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Says_0) ).
thf(1657,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( D @ ( A @ c_Event_Oknows ) @ ( C @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[481]) ).
thf(100,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityI_0) ).
thf(807,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(333,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) @ hBOOL )
| ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_0) ).
thf(1335,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) @ hBOOL )
| ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(586,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
thf(1891,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[586]) ).
thf(50,axiom,
! [B: $i,A: $i] :
( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Otop ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top__greatest_0) ).
thf(696,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(338,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).
thf(1346,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(96,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__Un_0) ).
thf(796,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(134,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
thf(886,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(377,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_0) ).
thf(1436,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(573,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__eq_0) ).
thf(1859,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[573]) ).
thf(261,axiom,
! [B: $i,A: $i] :
( ( ( v_x @ ( A @ ( t_a @ tc_fun ) @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ hAPP ) )
= ( A @ ( v_x @ ( B @ hAPP ) @ c_HOL_Ouminus__class_Ouminus ) ) )
| ~ ( A @ class_HOL_Ouminus ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__Compl__def_0) ).
thf(1172,plain,
! [B: $i,A: $i] :
( ( ( v_x @ ( A @ ( t_a @ tc_fun ) @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ hAPP ) )
= ( A @ ( v_x @ ( B @ hAPP ) @ c_HOL_Ouminus__class_Ouminus ) ) )
| ~ ( A @ class_HOL_Ouminus ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(139,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Olinorder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
thf(897,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Olinorder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(366,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__not__used_0) ).
thf(1410,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(208,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__used_0) ).
thf(1056,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ c_Event_Oevent_ONotes ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(542,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__analz__shrK_0) ).
thf(1789,plain,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[542]) ).
thf(199,axiom,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__notin__initState_0) ).
thf(1033,plain,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(270,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( A @ ( D @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__iff_2) ).
thf(1197,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( A @ ( D @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( C @ ( B @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(168,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) )
!= ( tc_bool @ ( B @ tc_fun ) @ ( C @ c_HOL_Ouminus__class_Ouminus ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__eq__Compl__iff_0) ).
thf(960,plain,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) )
!= ( tc_bool @ ( B @ tc_fun ) @ ( C @ c_HOL_Ouminus__class_Ouminus ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(24,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_List_Olist_ONil )
!= ( A @ ( C @ ( B @ c_List_Olist_OCons ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
thf(635,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_List_Olist_ONil )
!= ( A @ ( C @ ( B @ c_List_Olist_OCons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(73,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
thf(740,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(299,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( D @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_OOops_0) ).
thf(1261,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( D @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(303,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz ) )
| ( ( C @ c_Message_Oanalz )
!= ( D @ c_Message_Oanalz ) )
| ( ( A @ c_Message_Oanalz )
!= ( B @ c_Message_Oanalz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__cong_0) ).
thf(1268,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz ) )
| ( ( C @ c_Message_Oanalz )
!= ( D @ c_Message_Oanalz ) )
| ( ( A @ c_Message_Oanalz )
!= ( B @ c_Message_Oanalz ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
thf(596,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(182,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ hAPP ) @ hBOOL )
| ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
thf(992,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ hAPP ) @ hBOOL )
| ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(105,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_1) ).
thf(822,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ ( C @ c_HOL_Ouminus__class_Ouminus ) @ ( tc_bool @ ( B @ tc_fun ) @ ( A @ c_HOL_Ouminus__class_Ouminus ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(454,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OAgent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I1_J_0) ).
thf(1597,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OAgent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[454]) ).
thf(317,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_Message_Osynth @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__mono_0) ).
thf(1299,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(584,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz ) )
| ( ( A @ c_Message_Oanalz )
!= ( B @ c_Message_Oanalz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__cong_0) ).
thf(1885,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz ) )
| ( ( A @ c_Message_Oanalz )
!= ( B @ c_Message_Oanalz ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[584]) ).
thf(360,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) @ hBOOL )
| ( A
= ( D @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
thf(1399,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( D @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) @ hBOOL )
| ( A
= ( D @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(226,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__sing__imp__Un_0) ).
thf(1093,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(19,axiom,
tc_bool @ class_Lattices_Oboolean__algebra,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
thf(624,plain,
tc_bool @ class_Lattices_Oboolean__algebra,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(407,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( F @ ( A @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Oops__parts__spies_0) ).
thf(1500,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( F @ ( A @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[407]) ).
thf(64,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
thf(723,plain,
! [B: $i,A: $i] : ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(117,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
thf(850,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(506,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__neq__publicKey_0) ).
thf(1713,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_OinvKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[506]) ).
thf(326,axiom,
! [A: $i] : ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__initState_0) ).
thf(1320,plain,
! [A: $i] : ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(479,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
thf(1653,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[479]) ).
thf(568,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
thf(1848,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[568]) ).
thf(402,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( J @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( B @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_3) ).
thf(1490,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( J @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( B @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) @ hBOOL )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).
thf(223,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__freshK_1) ).
thf(1088,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) @ hBOOL )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(56,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_HOL_Ouminus )
| ( B @ ( A @ tc_fun ) @ class_HOL_Ouminus ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Ouminus) ).
thf(708,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_HOL_Ouminus )
| ( B @ ( A @ tc_fun ) @ class_HOL_Ouminus ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(131,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert_0) ).
thf(882,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(578,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ComplI_0) ).
thf(1870,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_in ) ) @ hBOOL )
| ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ c_HOL_Ouminus__class_Ouminus ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[578]) ).
thf(331,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) @ hBOOL )
| ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).
thf(1331,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) @ hBOOL )
| ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(457,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Nonce_0) ).
thf(1606,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[457]) ).
thf(491,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I18_J_0) ).
thf(1681,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[491]) ).
thf(266,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) @ hBOOL )
| ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).
thf(1184,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) @ hBOOL )
| ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(533,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ( A = c_Message_Oagent_OServer )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( C @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( E @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS3_0) ).
thf(1769,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL )
| ( A = c_Message_Oagent_OServer )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( C @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( E @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[533]) ).
thf(80,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
thf(755,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(40,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( D @ ( D @ ( C @ ( A @ c_Set_Oinsert ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).
thf(676,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( D @ ( D @ ( C @ ( A @ c_Set_Oinsert ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(274,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( D @ ( B @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
thf(1204,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( D @ ( B @ c_Event_Oevent_OSays ) ) @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(383,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I3_J_0) ).
thf(1449,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(552,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
thf(1812,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) @ hBOOL )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[552]) ).
thf(4,negated_conjecture,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(592,plain,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(392,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
thf(1468,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).
thf(2975,plain,
$false,
inference(e,[status(thm)],[645,1586,1024,1823,1454,1633,1767,1237,1179,1110,1686,1879,1337,1718,1168,760,909,628,1315,1850,666,1295,1750,1211,1068,1443,1618,994,1422,1544,1728,1591,1142,1533,1305,1041,1158,762,730,1882,1426,1671,1608,1655,1137,1756,1867,1872,1233,698,945,1063,1222,1497,1705,1164,797,747,913,1746,1835,1001,1782,1613,1386,1529,829,1095,973,885,1046,1724,1475,1518,1265,1703,1623,1482,724,1287,1709,1430,1760,719,1330,1511,802,1826,1577,934,1132,949,587,1323,619,838,1313,1279,1545,1514,870,1609,1013,1115,1641,1362,1778,1100,638,853,606,1572,1741,1398,1415,924,1664,789,591,1418,834,1828,1151,1581,1051,1383,1020,602,1843,1377,1215,692,1351,660,988,1433,1405,1201,1521,1696,1564,1447,956,1796,1072,1119,774,1863,1651,1074,1206,920,942,678,1691,1438,793,1199,1153,810,1470,1783,1311,1736,1730,1768,714,1274,778,1355,1255,1676,1666,1370,815,1560,1123,862,1502,1751,820,916,847,1365,625,879,1178,1888,1819,889,757,1128,1106,1837,1602,1687,1457,1079,1027,682,1407,1291,710,1402,1360,742,874,1762,650,1328,1227,1856,1540,869,783,857,1772,1259,1534,1794,1804,615,1375,1121,980,1498,1493,884,1082,1659,1182,1461,1424,1700,590,1644,706,901,686,1810,1791,1612,970,1155,1744,837,1588,701,1478,1297,1451,1530,654,1668,1192,721,1852,1874,1246,1720,1393,647,1776,1263,997,1266,1231,1627,1525,1333,1318,1241,633,657,1035,1466,674,1616,953,1732,1814,1086,938,1846,1054,662,718,888,1648,1146,824,1548,745,689,965,750,1727,618,1764,1698,1103,1301,1595,1631,733,1833,694,772,1620,1388,1701,1488,904,975,843,1125,958,1403,1428,1786,936,1707,1271,1865,1635,1092,1090,1464,1058,1107,1638,1224,764,1209,1408,1282,1117,1574,1349,990,1603,1542,737,1801,1175,1722,1144,1571,599,890,1877,631,1339,609,1821,621,895,1149,1344,1022,1293,1061,799,726,1556,769,983,1841,959,1044,1015,608,1477,1364,922,1562,912,1171,1213,827,1066,1445,1583,1662,680,663,1420,927,1684,1277,1134,1509,1081,939,1472,1018,754,968,1551,1049,1758,1166,1203,589,1798,640,705,1743,1566,954,739,1368,1780,1753,1547,776,1748,712,1003,690,1516,1070,872,1711,1716,791,1186,1038,840,1235,1830,1538,1679,643,1220,907,1130,1579,1285,1218,1358,1257,703,1536,1802,1284,1353,864,1008,612,876,859,1240,1485,1506,1504,727,1585,978,1140,845,1839,1084,1459,1553,1321,976,1412,1126,1189,671,1817,1010,1390,1289,1453,1734,1807,1646,963,1341,1508,652,1629,1854,1244,1523,786,781,588,1253,946,1101,995,1558,1861,1030,1689,1308,1077,899,1440,929,832,684,716,1161,1614,999,752,1774,967,1229,818,1248,867,1480,603,735,950,1097,1395,1625,1593,1380,854,1303,1527,1673,918,1495,1657,807,1335,1891,696,1346,796,886,1436,1859,1172,897,1410,1056,1789,1033,1197,960,635,740,1261,1268,596,992,822,1597,1299,1885,1399,1093,624,1500,723,850,1713,1320,1653,1848,1490,1088,708,882,1870,1331,1606,1681,1184,1769,755,676,1204,1449,1812,592,1468]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV751-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 14:55:54 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.89/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.98/1.36 % [INFO] Parsing done (390ms).
% 1.98/1.37 % [INFO] Running in sequential loop mode.
% 2.90/1.75 % [INFO] eprover registered as external prover.
% 2.90/1.75 % [INFO] Scanning for conjecture ...
% 3.39/1.99 % [INFO] Found a conjecture (or negated_conjecture) and 600 axioms. Running axiom selection ...
% 4.76/2.24 % [INFO] Axiom selection finished. Selected 580 axioms (removed 20 axioms).
% 5.33/2.50 % [INFO] Problem is propositional (TPTP CNF).
% 5.73/2.52 % [INFO] Type checking passed.
% 5.73/2.52 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 29.60/7.32 % External prover 'e' found a proof!
% 29.60/7.32 % [INFO] Killing All external provers ...
% 29.60/7.33 % Time passed: 6795ms (effective reasoning time: 5949ms)
% 29.60/7.33 % Axioms used in derivation (580): clsarity_nat__HOL_Oord, cls_Key__image__eq_0, cls_Crypt__notin__initState_0, cls_synth_OHash_0, cls_shrK__in__initState_0, cls_minus__le__iff_0, cls_subset__insert_1, cls_Compl__subset__Compl__iff_1, cls_bot__fun__eq_0, cls_analz__image__freshK__lemma_5, cls_not__parts__not__analz_0, cls_top__fun__eq_0, cls_set__subset__Cons_0, cls_parts_OBody_0, cls_msg_Osimps_I47_J_0, cls_MPair__synth__analz_0, cls_symKeys__invKey__iff_0, cls_sup__ge1_0, cls_privateKey__image__eq_1, cls_Says__S__message__form_0, cls_Un__subset__iff_0, cls_A__trusts__NS2_0, cls_parts__partsD_0, cls_MPair__used_0, cls_equalityI_0, cls_sup__top__left_0, cls_insertE_0, cls_knows__Spy__Gets_0, cls_parts_OInj_0, cls_parts_OFst_0, cls_knows__Notes_0, cls_subset__image__iff_2, cls_set__ConsD_0, cls_synth__analz__mono_0, cls_set__empty2_1, cls_initState__subset__knows_0, cls_empty__is__image_1, cls_image__mono_0, cls_Un__empty__left_0, cls_agent_Oinject_0, cls_le__funD_0, cls_subset__empty_1, cls_pushes_I9_J_0, cls_secrecy__lemma_0, cls_used__Says_0, cls_sup__bot__right_0, cls_insert__code_1, cls_list_Oinject_0, cls_analz__subset__iff_1, cls_Says__imp__used_0, cls_knows__Says_0, cls_analz__image__freshK__simps_I56_J_0, cls_Agent__synth_0, cls_inf__sup__aci_I6_J_0, cls_Un__upper1_0, cls_lists_Oinducts_0, cls_Un__commute_0, cls_ns__sharedp_ONS3_0, cls_fun__Compl__def_0, cls_analz__cong_0, cls_agent_Osimps_I6_J_0, cls_UnCI_1, cls_set__empty_1, cls_parts__image__Key_0, cls_initState__Friend_0, cls_insert__absorb_0, cls_lists_Ocases_2, cls_analz__subset__parts_0, cls_used__Notes_0, cls_cert__A__form_0, cls_ns__sharedp_ONS4_0, cls_unique__session__keys_0, cls_msg_Osimps_I34_J_0, cls_compl__eq__compl__iff_0, cls_mem__def_1, cls_msg_Osimps_I49_J_0, clsarity_nat__Orderings_Olinorder, cls_analz__insert__freshK_0, cls_msg_Osimps_I6_J_1, cls_Says__imp__parts__knows__Spy_0, cls_empty__iff_0, cls_not__Cons__self2_0, cls_Fake__parts__insert_0, cls_ns__shared_OOops_0, cls_msg_Osimps_I45_J_0, cls_msg_Osimps_I12_J_0, cls_insert__iff_1, cls_Crypt__synth__eq_1, cls_Crypt__synth__analz_0, cls_knows__subset__knows__Says_0, clsarity_fun__Lattices_Oupper__semilattice, cls_Gets__imp__knows__agents_0, cls_set__rev__mp_0, cls_knows__subset__knows__Cons_0, cls_analz__idem_0, cls_insert__subset_0, cls_le__sup__iff_0, cls_ComplD_0, cls_lists_Oinduct_2, cls_msg_Osimps_I3_J_0, cls_Compl__partition_0, cls_ns__sharedp_ONS2_0, cls_analz__image__freshK__lemma_4, cls_subset__insert__iff_2, cls_publicKey__into__used_0, cls_parts__empty_0, cls_NS3__msg__in__parts__spies_0, cls_shrK__in__knows_0, cls_shrK__image__eq_1, cls_agent_Osimps_I5_J_0, cls_analz__image__freshK__lemma_2, cls_lists_ONil_0, cls_ns__sharedp_OOops_0, cls_sup__compl__top_0, cls_Key__synth__eq_1, cls_analz__image__freshK__simps_I61_J_0, clsarity_fun__Orderings_Otop, cls_ns__sharedp_OFake_0, cls_initState__Spy_0, cls_synth__insert_0, cls_Un__left__commute_0, cls_Key__image__eq_1, clsarity_bool__HOL_Oord, cls_set__mp_0, cls_privateKey__image__eq_2, cls_keysFor__insert__Hash_0, cls_synth_OCrypt_0, cls_knows__Nil_0, cls_analz__insert__Hash_0, cls_Says__imp__spies_0, cls_parts__increasing_0, cls_Server__not__bad_0, cls_analz__image__freshK__simps_I65_J_0, cls_analz__Crypt__if_1, cls_le__supI_0, cls_Un__subset__iff_1, cls_Un__empty_2, cls_le__iff__sup_1, cls_knows__Spy__Notes_1, cls_Hash__notin__image__Key_0, cls_pushes_I11_J_0, cls_analz__image__freshK_2, cls_invKey__image__eq_1, cls_compl__bot__eq_0, cls_msg_Osimps_I7_J_0, cls_rangeI_0, cls_parts__subset__iff_1, cls_initState__Server_0, cls_rev__image__eqI_0, cls_privateKey__notin__image__publicKey_0, clsarity_fun__Orderings_Obot, cls_le__supE_1, cls_ns__shared_ONS4_0, cls_empty__is__image_0, cls_synth__synthD_0, cls_shrK__notin__image__publicKey_0, cls_analz__cut_0, cls_in__parts__UnE_0, cls_keymode_Oinduct_0, cls_le__iff__sup_0, cls_publicKey__inject_0, cls_Fake__parts__sing__imp__Un_0, cls_synth_OMPair_0, cls_fun__Compl__def__raw_0, cls_Un__UNIV__right_0, cls_Un__absorb2_0, cls_bot__least_0, cls_inf__sup__aci_I8_J_0, cls_Un__empty__right_0, cls_insert__ident_0, cls_lemma1_0, cls_Key__not__used_0, cls_parts__mono_0, cls_parts__emptyE_0, cls_used__nil__subset_0, cls_parts__insert__MPair_0, cls_symKeys__invKey__iff_1, cls_le__minus__iff_0, cls_pushes_I4_J_0, cls_sup__eq__bot__eq2_0, cls_Un__upper2_0, cls_msg_Osimps_I44_J_0, cls_analz__subset__iff_0, cls_analz__empty_0, cls_parts__knows__Spy__subset__used_0, cls_UnCI_0, cls_msg_Osimps_I40_J_0, cls_subset__iff_0, cls_insert__code_2, cls_msg_Osimps_I38_J_0, cls_parts__Un_0, cls_parts_OSnd_0, clsarity_fun__HOL_Oord, cls_pushes_I5_J_0, cls_analz__mono__contra_I3_J_0, cls_event_Osimps_I9_J_0, cls_ns__shared_ONil_0, cls_privateKey__notin__image__shrK_0, cls_singleton__iff_1, cls_lists_Oinducts_3, cls_Spy__spies__bad__shrK_0, cls_symKey__neq__priEK_0, cls_event_Osimps_I6_J_0, cls_subset__empty_0, cls_List_Oset_Osimps_I2_J_0, cls_rev__predicate1D_0, cls_subset__Compl__self__eq_1, cls_Spy__spies__bad__privateKey_0, cls_pushes_I8_J_0, cls_parts__insert_0, cls_msg_Osimps_I14_J_0, cls_synth__analz__insert__eq_0, cls_compl__top__eq_0, cls_analz__conj__parts_0, cls_in__lists__conv__set_0, clsarity_bool__Lattices_Oupper__semilattice, cls_msg_Osimps_I43_J_0, cls_ns__shared_ONS1_0, cls_lists_Ocases_1, cls_Spy__analz__shrK_1, cls_image__insert_0, cls_shrK__in__used_0, cls_event_Osimps_I3_J_0, cls_UNIV__not__empty_0, cls_keysFor__insert__MPair_0, cls_le__minus__iff_1, cls_Nonce__notin__used__empty_0, cls_parts__insert__Agent_0, cls_synth__trans_0, cls_Un__insert__left_0, cls_Says__imp__analz__Spy_0, cls_doubleton__eq__iff_2, cls_Compl__partition2_0, cls_keysFor__mono_0, cls_set__empty2_0, cls_cert__A__form_1, clsarity_nat__Orderings_Obot, cls_Fake__analz__insert_0, cls_sym__shrK_0, cls_msg_Osimps_I7_J_1, cls_Says__Server__message__form_2, cls_agent_Osimps_I4_J_0, cls_insert__subset_1, cls_Spy__see__shrK_0, cls_new__keys__not__used_0, cls_ex__in__conv_0, cls_sup__commute_0, cls_Compl__anti__mono_0, cls_analz_OFst_0, cls_set__eq__subset_2, cls_parts__insert__subset__Un_0, cls_Un__mono_0, cls_knows__Gets_0, cls_Compl__UNIV__eq_0, cls_analz_OInj_0, cls_Nonce__synth__eq_1, cls_parts__insertI_0, cls_msg_Osimps_I46_J_0, cls_shrK__neq__priK_0, cls_synth__increasing_0, cls_ns__sharedp_ONil_0, cls_Un__subset__iff_2, cls_msg_Osimps_I19_J_0, clsarity_fun__Lattices_Olattice, cls_msg_Osimps_I1_J_0, cls_publicKey__notin__image__privateKey_0, cls_privateKey__neq__publicKey_0, cls_linorder__linear_0, cls_Un__empty_0, cls_msg_Osimps_I4_J_0, cls_analz__parts_0, cls_ns__sharedp__ns__shared__eq_0, cls_pushes_I12_J_0, cls_lists_Oinduct_1, cls_subset__trans_0, cls_agent_Osimps_I3_J_0, cls_analz__image__freshK__lemma_3, cls_Compl__eq__Compl__iff_0, cls_insert__is__Un_0, cls_image__empty_0, cls_Compl__subset__Compl__iff_0, clsarity_bool__HOL_Ouminus, cls_pushes_I2_J_0, cls_not__Cons__self_0, cls_insertI1_0, cls_msg_Osimps_I36_J_0, cls_analz__insert__Crypt__subset_0, cls_MPair__synth_1, cls_subset__Compl__self__eq_0, cls_empty__not__insert_0, cls_sup__assoc_0, cls_msg_Osimps_I16_J_0, cls_analz__Crypt__if_0, cls_le__sup__iff_1, clsarity_bool__Orderings_Obot, cls_mem__def_0, cls_inf__sup__aci_I7_J_0, cls_le__supE_0, cls_analz__insert__cong_0, cls_msg_Osimps_I48_J_0, cls_msg_Osimps_I39_J_0, cls_parts__cut__eq_0, cls_analz__image__freshK_0, cls_knows__Spy__Says_0, cls_neq__Nil__conv_1, cls_msg_Osimps_I35_J_0, cls_event_Osimps_I2_J_1, cls_ns__shared_OFake_0, cls_doubleton__eq__iff_0, cls_Un__absorb1_0, cls_sup1E_0, cls_synth__Un_0, cls_Un__UNIV__left_0, cls_parts__cut_0, cls_analz__image__freshK__simps_I57_J_0, cls_sup__least_0, cls_subset__refl_0, cls_analz__shrK__Decrypt_0, cls_analz__insert__Agent_0, cls_parts__subset__iff_0, cls_synth__subset__iff_1, cls_analz__Un_0, cls_analz_ODecrypt_0, cls_empty__subsetI_0, cls_top__greatest_0, cls_sup__top__right_0, cls_shrK__notin__image__privateKey_0, cls_not__symKeys__priK_0, cls_image__Un_0, cls_publicKey__notin__image__shrK_0, cls_UNIV__I_0, cls_sup1CI_1, cls_insertCI_0, cls_Notes__imp__knows__Spy_0, clsarity_fun__Lattices_Oboolean__algebra, cls_Crypt__synth__eq_0, cls_spies__pubK_0, cls_invKey__K_0, cls_Spy__in__bad_0, cls_singletonE_0, cls_parts__insert__knows__A_0, cls_Crypt__synth__analz_1, clsarity_nat__Lattices_Olattice, cls_msg_Osimps_I13_J_0, cls_image__iff_2, cls_lists_Oinducts_2, cls_msg_Osimps_I42_J_0, cls_analz__spies__pubK_0, cls_bot1E_0, cls_Fake__analz__eq_0, cls_parts__insert__Hash_0, cls_Notes__imp__used_0, cls_analz__mono__contra_I2_J_0, cls_insert__mono_0, cls_priK__in__initState_0, cls_parts__insert2_0, cls_bex__empty_0, cls_unique__session__keys_3, cls_top1I_0, cls_event_Osimps_I7_J_0, cls_event_Osimps_I1_J_1, cls_lists_Ocases_0, cls_le__supI2_0, cls_synth__analz__insert__eq_1, cls_analz__image__freshK__lemma_0, cls_Un__assoc_0, cls_publicKey__neq__privateKey_0, cls_in__lists__conv__set_1, cls_doubleton__eq__iff_3, cls_inf__sup__ord_I4_J_0, cls_shrK__injective_0, cls_synth_OInj_0, cls_synth__idem_0, cls_msg_Osimps_I15_J_0, cls_publicKey__image__eq_2, cls_msg_Osimps_I18_J_0, cls_UnE_0, cls_subset__insertI2_0, cls_Un__absorb_0, cls_MPair__used_1, cls_parts__trans_0, cls_event_Osimps_I2_J_0, cls_Crypt__notin__used__empty_0, cls_neq__shrK_0, cls_usedI_0, cls_parts__insert__Key_0, cls_analz__analzD_0, cls_invKey__eq_0, clsarity_bool__Lattices_Olattice, cls_keysFor__insert__Agent_0, cls_parts__analz_0, cls_le__imp__neg__le_0, cls_event_Osimps_I4_J_0, cls_Spy__see__shrK_1, cls_publicKey__image__eq_0, cls_pubK__neq__shrK_0, cls_MPair__synth__analz_2, cls_bot__empty__eq_0, cls_analz__insert__MPair_0, cls_msg_Osimps_I30_J_0, cls_list_Osimps_I3_J_0, clsarity_bool__Lattices_Obounded__lattice, cls_knows__Spy__imp__Says__Notes__initState_0, cls_Says__Server__message__form_1, cls_invKey__shrK_0, cls_Crypt__Spy__analz__bad_0, cls_parts__Un__subset2_0, cls_insert__subset_2, cls_le__supI1_0, cls_sup__left__idem_0, cls_insert__not__empty_0, cls_keymode_Osimps_I2_J_0, cls_le__sup__iff_2, clsarity_fun__Lattices_Obounded__lattice, cls_Spy__analz__shrK_0, cls_subsetD_0, cls_Key__synth_0, cls_Hash__synth__analz_0, cls_keysFor__insert__Nonce_0, cls_analz__synth__Un_0, cls_sup__fun__eq_0, cls_pushes_I1_J_0, cls_Crypt__synth_0, cls_double__compl_0, cls_subset__singletonD_0, cls_Nonce__synth__eq_0, cls_event_Osimps_I8_J_0, cls_insert__absorb2_0, cls_analz__mono_0, cls_analz_OSnd_0, cls_Crypt__imp__keysFor_0, cls_priEK__noteq__shrK_0, cls_ComplI_0, cls_doubleton__eq__iff_1, cls_analz__mono__contra_I1_J_0, cls_analz__synth_0, cls_event_Osimps_I1_J_2, cls_minus__le__iff_1, cls_Nonce__synth_0, cls_analz__insert__eq_0, cls_parts__insert__Nonce_0, cls_synth__subset__iff_0, cls_Un__left__absorb_0, cls_msg_Osimps_I5_J_0, cls_keymode_Osimps_I1_J_0, cls_event_Osimps_I1_J_0, cls_Crypt__notin__image__Key_0, cls_agent_Osimps_I7_J_0, cls_analz__analz__Un_0, cls_Crypt__synth_1, cls_ns__shared_ONS3_0, clsarity_bool__Lattices_Oboolean__algebra, cls_MPair__synth_0, cls_msg_Osimps_I17_J_0, cls_inf__sup__aci_I5_J_0, cls_singleton__inject_0, cls_neg__le__iff__le_0, cls_privateKey__image__eq_0, cls_initState__into__used_0, cls_Hash__synth_0, cls_lists_Oinduct_0, cls_subset__insert_0, cls_sup__idem_0, cls_msg_Osimps_I41_J_0, clsarity_nat__Lattices_Oupper__semilattice, cls_emptyE_0, cls_inf__sup__ord_I3_J_0, cls_msg_Osimps_I32_J_0, cls_knows__subset__knows__Notes_0, cls_sup__eq__bot__eq1_0, cls_comm__monoid__add_Ononempty__iff_2, cls_keysFor__parts__insert_0, cls_list_Oinject_1, cls_parts__insert__subset_0, cls_msg_Osimps_I31_J_0, cls_analz__increasing_0, cls_Un__empty_1, cls_parts__Un__subset1_0, cls_lists_Oinducts_1, cls_unique__session__keys_1, cls_Fake__parts__sing_0, cls_knows__Spy__subset__knows__Spy__Notes_0, cls_analz__image__Key_0, cls_Un__least_0, cls_double__complement_0, cls_set__empty_0, cls_sup1CI_0, cls_shrK__neq__pubK_0, cls_not__symKeys__pubK_0, cls_sup__ge2_0, cls_lists_Oinduct_3, cls_ns__shared_ONS2_0, cls_Says__S__message__form_1, cls_Oops__parts__spies_0, cls_subset__Un__eq_1, cls_sup__left__commute_0, cls_ns__shared_ONS5_0, cls_parts__idem_0, cls_in__lists__conv__set_2, cls_lemma2_0, cls_ns__sharedp_ONS5_0, cls_image__eqI_0, cls_subset__UNIV_0, cls_analz__insert__freshK_1, cls_unique__session__keys_2, cls_analz__insertI_0, cls_image__subset__iff_0, cls_insertCI_1, cls_doubleton__eq__iff_4, cls_knows__Spy__subset__knows__Spy__Says_0, cls_invKey_0, cls_knows__subset__knows__Gets_0, cls_event_Osimps_I3_J_1, cls_insert__code_0, cls_subset__insertI_0, cls_analz__trans_0, cls_used__Gets_0, cls_msg_Osimps_I6_J_0, cls_Nonce__notin__initState_0, cls_Says__imp__knows_0, cls_analz__subset__cong_0, cls_analz__insert__freshK_2, cls_sup__bot__left_0, cls_insert__image_0, cls_shrK__image__eq_0, cls_Hash__synth__analz_1, cls_msg_Osimps_I10_J_0, cls_analz__Decrypt_H_0, cls_insert__commute_0, cls_insert__iff_2, cls_keysFor__insert__Key_0, cls_gen__analz__insert__eq_0, cls_compl__sup__top_0, cls_used__parts__subset__parts_0, cls_MPair__synth__analz_1, cls_Fake__parts__insert__in__Un_0, cls_analz__insert__Key_0, cls_Un__insert__right_0, cls_publicKey__inject_1, cls_Says__Server__message__form_0, cls_imageI_0, cls_list_Osimps_I2_J_0, cls_event_Osimps_I5_J_0, cls_parts__insert__Crypt_0, cls_privateKey__into__used_0, cls_knows__imp__Says__Gets__Notes__initState_0, cls_agent_Osimps_I2_J_0, cls_Nonce__Key__image__eq_0, cls_knows__Spy__Notes_0, cls_priK__neq__shrK_0, clsarity_fun__HOL_Ouminus, cls_parts__synth_0, cls_invKey__image__eq_0, cls_image__is__empty_0, cls_analz__image__freshK__lemma_1, cls_equalityE_0, cls_msg_Osimps_I37_J_0, cls_Compl__empty__eq_0, cls_sup__absorb1_0, cls_ns__sharedp_ONS1_0, cls_knows__Spy__subset__knows__Spy__Gets_0, cls_ball__empty_0, cls_synth__mono_0, cls_synth__cut_0, cls_analz__insert__Nonce_0, cls_synth_OAgent_0, cls_Notes__imp__knows_0, cls_msg_Osimps_I11_J_0, cls_subset__insert__iff_1, cls_Crypt__imp__invKey__keysFor_0, cls_pushes_I6_J_0, cls_msg_Osimps_I33_J_0, cls_analz__image__freshK_1, clsarity_bool__Orderings_Otop, cls_publicKey__in__initState_0, cls_publicKey__image__eq_1, cls_analz__into__parts_0, cls_predicate1D_0, cls_analz__insert_0, cls_parts__insert__spies_0
% 29.60/7.33 % No. of inferences in proof: 1173
% 29.60/7.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6795 ms resp. 5949 ms w/o parsing
% 28.79/7.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 28.79/7.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------