TSTP Solution File: SWV765-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV765-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:18:23 EDT 2023
% Result : Unsatisfiable 14.99s 4.05s
% Output : Refutation 15.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 599
% Syntax : Number of formulae : 1130 ( 455 unt; 69 typ; 0 def)
% Number of atoms : 2047 ( 552 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 17210 (1016 ~; 986 |; 0 &;15208 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 84 ( 84 >; 0 *; 0 +; 0 <<)
% Number of symbols : 71 ( 69 usr; 24 con; 0-4 aty)
% Number of variables : 3186 ( 0 ^;3186 !; 0 ?;3186 :)
% Comments :
%------------------------------------------------------------------------------
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(c_in_type,type,
c_in: $i > $i > $i > $i ).
thf(v_B_type,type,
v_B: $i ).
thf(c_Event_Obad_type,type,
c_Event_Obad: $i ).
thf(tc_Message_Oagent_type,type,
tc_Message_Oagent: $i ).
thf(v_evs_type,type,
v_evs: $i ).
thf(c_NS__Shared__Mirabelle_Ons__shared_type,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
thf(tc_List_Olist_type,type,
tc_List_Olist: $i > $i ).
thf(tc_Event_Oevent_type,type,
tc_Event_Oevent: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Message_Omsg_OKey_type,type,
c_Message_Omsg_OKey: $i ).
thf(v_K_type,type,
v_K: $i ).
thf(c_Message_Oanalz_type,type,
c_Message_Oanalz: $i > $i ).
thf(c_Event_Oknows_type,type,
c_Event_Oknows: $i > $i > $i ).
thf(c_Message_Oagent_OSpy_type,type,
c_Message_Oagent_OSpy: $i ).
thf(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
thf(c_Event_Oevent_OSays_type,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(c_Message_Oagent_OServer_type,type,
c_Message_Oagent_OServer: $i ).
thf(v_A_type,type,
v_A: $i ).
thf(c_Message_Omsg_OCrypt_type,type,
c_Message_Omsg_OCrypt: $i > $i > $i ).
thf(c_Public_OshrK_type,type,
c_Public_OshrK: $i ).
thf(c_Message_Omsg_OMPair_type,type,
c_Message_Omsg_OMPair: $i > $i > $i ).
thf(v_NA_type,type,
v_NA: $i ).
thf(c_Message_Omsg_OAgent_type,type,
c_Message_Omsg_OAgent: $i > $i ).
thf(c_List_Oset_type,type,
c_List_Oset: $i > $i > $i ).
thf(c_Message_Omsg_ONonce_type,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(v_NB_type,type,
v_NB: $i ).
thf(c_Message_Oparts_type,type,
c_Message_Oparts: $i > $i ).
thf(class_Lattices_Oupper__semilattice_type,type,
class_Lattices_Oupper__semilattice: $i > $o ).
thf(c_Lattices_Oupper__semilattice__class_Osup_type,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i > $i > $i ).
thf(tc_bool_type,type,
tc_bool: $i ).
thf(class_Lattices_Obounded__lattice_type,type,
class_Lattices_Obounded__lattice: $i > $o ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(tc_nat_type,type,
tc_nat: $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i > $i > $i ).
thf(c_Orderings_Obot__class_Obot_type,type,
c_Orderings_Obot__class_Obot: $i > $i ).
thf(c_Orderings_Otop__class_Otop_type,type,
c_Orderings_Otop__class_Otop: $i > $i ).
thf(class_Lattices_Olattice_type,type,
class_Lattices_Olattice: $i > $o ).
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_Set_Oimage_type,type,
c_Set_Oimage: $i > $i > $i > $i > $i ).
thf(class_Orderings_Obot_type,type,
class_Orderings_Obot: $i > $o ).
thf(c_Event_Oevent_OGets_type,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(c_Event_Oevent_ONotes_type,type,
c_Event_Oevent_ONotes: $i > $i > $i ).
thf(class_Orderings_Otop_type,type,
class_Orderings_Otop: $i > $o ).
thf(class_HOL_Oord_type,type,
class_HOL_Oord: $i > $o ).
thf(c_Message_Osynth_type,type,
c_Message_Osynth: $i > $i ).
thf(c_List_Olist_OCons_type,type,
c_List_Olist_OCons: $i > $i > $i > $i ).
thf(class_Orderings_Olinorder_type,type,
class_Orderings_Olinorder: $i > $o ).
thf(c_Public_Okeymode_OSignature_type,type,
c_Public_Okeymode_OSignature: $i ).
thf(c_Public_Okeymode_OEncryption_type,type,
c_Public_Okeymode_OEncryption: $i ).
thf(c_Message_Omsg_OHash_type,type,
c_Message_Omsg_OHash: $i > $i ).
thf(c_Message_Oagent_OFriend_type,type,
c_Message_Oagent_OFriend: $i > $i ).
thf(c_Message_OinvKey_type,type,
c_Message_OinvKey: $i ).
thf(c_Public_OpublicKey_type,type,
c_Public_OpublicKey: $i > $i ).
thf(c_Event_OinitState_type,type,
c_Event_OinitState: $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(v_x_type,type,
v_x: $i ).
thf(c_Message_OkeysFor_type,type,
c_Message_OkeysFor: $i > $i ).
thf(c_Event_Oused_type,type,
c_Event_Oused: $i > $i ).
thf(c_Message_OsymKeys_type,type,
c_Message_OsymKeys: $i ).
thf(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1_type,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: $i > $i > $i > $i ).
thf(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1_type,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_type,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2: $i > $i > $i ).
thf(c_NS__Shared__Mirabelle_Ons__sharedp_type,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $i ).
thf(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1_type,type,
v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1: $i > $i > $i > $i ).
thf(c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1_type,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: $i > $i > $i > $i ).
thf(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1_type,type,
v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: $i > $i > $i > $i ).
thf(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1_type,type,
v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1: $i > $i > $i > $i ).
thf(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1_type,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: $i > $i > $i > $i > $i ).
thf(357,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ A @ B ) @ C @ D ) )
| ~ ( hBOOL @ ( c_in @ B @ E @ F ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ A @ E @ F @ D ) @ C @ ( tc_fun @ D @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
thf(1322,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ A @ B ) @ C @ D ) )
| ~ ( hBOOL @ ( c_in @ B @ E @ F ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ A @ E @ F @ D ) @ C @ ( tc_fun @ D @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(227,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ B ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ B ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I2_J_0) ).
thf(1036,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ B ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ B ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(399,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ C @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ D @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ A @ E @ B ) @ ( hAPP @ c_Message_Omsg_OKey @ A ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ D @ ( c_Message_Omsg_OCrypt @ F @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ G ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__not__see__encrypted__key_0) ).
thf(1411,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ C @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ D @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ A @ E @ B ) @ ( hAPP @ c_Message_Omsg_OKey @ A ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ D @ ( c_Message_Omsg_OCrypt @ F @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ G ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).
thf(44,axiom,
! [B: $i,A: $i] :
( ( class_Orderings_Obot @ ( tc_fun @ A @ B ) )
| ~ ( class_Orderings_Obot @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
thf(629,plain,
! [B: $i,A: $i] :
( ( class_Orderings_Obot @ ( tc_fun @ A @ B ) )
| ~ ( class_Orderings_Obot @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(221,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__spies_0) ).
thf(1024,plain,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(379,axiom,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__Key__image__eq_0) ).
thf(1369,plain,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(142,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ( hBOOL @ ( c_in @ A @ D @ C ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ B @ ( tc_fun @ C @ tc_bool ) ) @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).
thf(846,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ( hBOOL @ ( c_in @ A @ D @ C ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ B @ ( tc_fun @ C @ tc_bool ) ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(167,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ B ) @ ( c_Message_Oanalz @ D ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ C ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__cong_0) ).
thf(909,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ B ) @ ( c_Message_Oanalz @ D ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ C ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(160,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__MPair_0) ).
thf(893,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(353,axiom,
~ ( hBOOL @ ( c_in @ c_Message_Oagent_OServer @ c_Event_Obad @ tc_Message_Oagent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).
thf(1315,plain,
~ ( hBOOL @ ( c_in @ c_Message_Oagent_OServer @ c_Event_Obad @ tc_Message_Oagent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(184,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ B @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ B @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( B = c_Message_Oagent_OSpy ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Gets__imp__knows__agents_0) ).
thf(941,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ B @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ B @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( B = c_Message_Oagent_OSpy ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(111,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ A @ B @ C )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
thf(777,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ A @ B @ C )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(344,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( hBOOL @ ( c_in @ A @ D @ C ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff_0) ).
thf(1295,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( hBOOL @ ( c_in @ A @ D @ C ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(463,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1 @ A @ B @ C ) @ A @ B ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ D @ ( c_Message_Omsg_ONonce @ E ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ F @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ F ) @ ( c_Message_Omsg_OMPair @ G @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ B ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NS4__implies__NS3_0) ).
thf(1549,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1 @ A @ B @ C ) @ A @ B ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ D @ ( c_Message_Omsg_ONonce @ E ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ F @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ F ) @ ( c_Message_Omsg_OMPair @ G @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ B ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[463]) ).
thf(527,axiom,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( c_Message_Omsg_OMPair @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I40_J_0) ).
thf(1686,plain,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( c_Message_Omsg_OMPair @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[527]) ).
thf(481,axiom,
! [B: $i,A: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( c_Message_Omsg_OAgent @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I13_J_0) ).
thf(1586,plain,
! [B: $i,A: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( c_Message_Omsg_OAgent @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[481]) ).
thf(440,axiom,
! [A: $i] :
( ( c_Message_Oparts @ ( c_Message_Osynth @ A ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ A ) @ ( c_Message_Osynth @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__synth_0) ).
thf(1501,plain,
! [A: $i] :
( ( c_Message_Oparts @ ( c_Message_Osynth @ A ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ A ) @ ( c_Message_Osynth @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[440]) ).
thf(125,axiom,
! [A: $i] : ( c_lessequals @ A @ ( c_Message_Osynth @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
thf(809,plain,
! [A: $i] : ( c_lessequals @ A @ ( c_Message_Osynth @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(468,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ C ) @ D @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ C @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ D ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Says_0) ).
thf(1559,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ C ) @ D @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ C @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ D ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[468]) ).
thf(258,axiom,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ A ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ B @ C ) @ A @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Notes_0) ).
thf(1105,plain,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ A ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ B @ C ) @ A @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(465,axiom,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__iff_1) ).
thf(1554,plain,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[465]) ).
thf(261,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Set_Oinsert @ C @ B @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
thf(1110,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Set_Oinsert @ C @ B @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(306,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ D ) ) ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ D @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ A ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ E ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
thf(1211,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ D ) ) ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ D @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ A ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ E ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(214,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ E ) )
| ~ ( hBOOL @ ( c_in @ B @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__eqI_0) ).
thf(1005,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ E ) )
| ~ ( hBOOL @ ( c_in @ B @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(342,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_OAgent @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I19_J_0) ).
thf(1290,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_OAgent @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(242,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ B @ C ) )
| ( hBOOL @ ( c_in @ ( hAPP @ D @ A ) @ ( c_Set_Oimage @ D @ B @ C @ E ) @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
thf(1068,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ B @ C ) )
| ( hBOOL @ ( c_in @ ( hAPP @ D @ A ) @ ( c_Set_Oimage @ D @ B @ C @ E ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(209,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ B ) @ ( hAPP @ c_Message_Omsg_OKey @ C ) ) ) ) @ D @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ E @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ F ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ G ) ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ E @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ B ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ D @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_OOops_0) ).
thf(994,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ B ) @ ( hAPP @ c_Message_Omsg_OKey @ C ) ) ) ) @ D @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ E @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ F ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ G ) ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ E @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ B ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ D @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(394,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ C ) ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_ODecrypt_0) ).
thf(1401,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ C ) ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).
thf(404,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__mono_0) ).
thf(1422,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[404]) ).
thf(303,axiom,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
thf(1205,plain,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(484,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ C ) @ D @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_ONonce @ E ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ G ) @ C ) ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( A = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS3_0) ).
thf(1591,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ C ) @ D @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_ONonce @ E ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ G ) @ C ) ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( A = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[484]) ).
thf(412,axiom,
! [B: $i,A: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( hAPP @ c_Message_Omsg_OKey @ B ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I4_J_0) ).
thf(1437,plain,
! [B: $i,A: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( hAPP @ c_Message_Omsg_OKey @ B ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[412]) ).
thf(434,axiom,
! [B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
thf(1486,plain,
! [B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[434]) ).
thf(25,axiom,
! [B: $i,A: $i] :
( ~ ( class_Orderings_Obot @ A )
| ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ A ) @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).
thf(582,plain,
! [B: $i,A: $i] :
( ~ ( class_Orderings_Obot @ A )
| ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ A ) @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(104,axiom,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Set_Oinsert @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__insert_0) ).
thf(762,plain,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Set_Oinsert @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(486,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ A @ B @ C ) @ C )
= ( c_Set_Oinsert @ A @ ( c_List_Oset @ B @ C ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
thf(1596,plain,
! [C: $i,B: $i,A: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ A @ B @ C ) @ C )
= ( c_Set_Oinsert @ A @ ( c_List_Oset @ B @ C ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[486]) ).
thf(397,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ t_a @ A ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ B @ v_x ) @ ( hAPP @ C @ v_x ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__fun__eq_0) ).
thf(1406,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ t_a @ A ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ B @ v_x ) @ ( hAPP @ C @ v_x ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).
thf(276,axiom,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ A ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__notin__image__Key_0) ).
thf(1142,plain,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ A ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(332,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Osynth @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__synthD_0) ).
thf(1269,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Osynth @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(529,axiom,
! [B: $i,A: $i] :
( ( ( hAPP @ c_Public_OshrK @ A )
!= ( hAPP @ c_Public_OshrK @ B ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__injective_0) ).
thf(1692,plain,
! [B: $i,A: $i] :
( ( ( hAPP @ c_Public_OshrK @ A )
!= ( hAPP @ c_Public_OshrK @ B ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[529]) ).
thf(68,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_lessequals @ B @ A @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
thf(677,plain,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_lessequals @ B @ A @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(229,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__used_0) ).
thf(1041,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(148,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ B @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
thf(861,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ B @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(246,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ A ) @ ( c_Set_Oimage @ c_Message_OinvKey @ B @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__image__eq_1) ).
thf(1078,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ A ) @ ( c_Set_Oimage @ c_Message_OinvKey @ B @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(521,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ D @ tc_bool ) ) @ D ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_1) ).
thf(1671,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ D @ tc_bool ) ) @ D ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[521]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( class_Lattices_Obounded__lattice @ ( tc_fun @ A @ B ) )
| ~ ( class_Lattices_Obounded__lattice @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
thf(550,plain,
! [B: $i,A: $i] :
( ( class_Lattices_Obounded__lattice @ ( tc_fun @ A @ B ) )
| ~ ( class_Lattices_Obounded__lattice @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(119,axiom,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ A @ ( c_Set_Oinsert @ B @ A @ C ) @ ( tc_fun @ C @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
thf(797,plain,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ A @ ( c_Set_Oinsert @ B @ A @ C ) @ ( tc_fun @ C @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(83,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_OGets @ A @ B )
!= ( c_Event_Oevent_OGets @ C @ D ) )
| ( A = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).
thf(715,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_OGets @ A @ B )
!= ( c_Event_Oevent_OGets @ C @ D ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(328,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_ONonce @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I35_J_0) ).
thf(1260,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_ONonce @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(186,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_OHash @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I45_J_0) ).
thf(945,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_OHash @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(372,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ D ) ) ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ D @ ( c_Message_Omsg_OCrypt @ F @ ( c_Message_Omsg_OMPair @ G @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ A ) ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
thf(1354,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ D ) ) ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ D @ ( c_Message_Omsg_OCrypt @ F @ ( c_Message_Omsg_OMPair @ G @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ A ) ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(351,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ B @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ B @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).
thf(1310,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ B @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ B @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(6,negated_conjecture,
~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ v_A @ v_B @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(533,plain,
~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ v_A @ v_B @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(312,axiom,
! [B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__not__used_0) ).
thf(1222,plain,
! [B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(178,axiom,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Event_OinitState @ C ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__in__initState_0) ).
thf(930,plain,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Event_OinitState @ C ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(162,axiom,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ C ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).
thf(898,plain,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ C ) ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(139,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ A @ B @ C ) @ D ) )
| ~ ( hBOOL @ ( hAPP @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
thf(841,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ A @ B @ C ) @ D ) )
| ~ ( hBOOL @ ( hAPP @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(157,axiom,
! [A: $i] :
( ( c_Message_Oagent_OFriend @ A )
!= c_Message_Oagent_OServer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I3_J_0) ).
thf(885,plain,
! [A: $i] :
( ( c_Message_Oagent_OFriend @ A )
!= c_Message_Oagent_OServer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(509,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ C ) ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).
thf(1645,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ C ) ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[509]) ).
thf(489,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__analz__shrK_0) ).
thf(1601,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[489]) ).
thf(429,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ A ) @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
thf(1475,plain,
! [B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ A ) @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[429]) ).
thf(330,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OHash_0) ).
thf(1265,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(135,axiom,
! [B: $i,A: $i] :
( ( ( c_Message_Oagent_OFriend @ A )
!= ( c_Message_Oagent_OFriend @ B ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Oinject_0) ).
thf(829,plain,
! [B: $i,A: $i] :
( ( ( c_Message_Oagent_OFriend @ A )
!= ( c_Message_Oagent_OFriend @ B ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(254,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Crypt__if_0) ).
thf(1095,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(389,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ C @ tc_bool ) ) @ C @ D ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).
thf(1391,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ C @ tc_bool ) ) @ C @ D ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).
thf(476,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ A ) @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Osynth @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__synth__Un_0) ).
thf(1576,plain,
! [B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ A ) @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Osynth @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[476]) ).
thf(501,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ E @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ B ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ D ) @ ( c_Event_Oused @ E ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS4_0) ).
thf(1628,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ E @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ B ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ D ) @ ( c_Event_Oused @ E ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[501]) ).
thf(398,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Hash_0) ).
thf(1409,plain,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).
thf(20,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ D @ A )
| ~ ( c_lessequals @ C @ D @ A )
| ~ ( c_lessequals @ B @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI_0) ).
thf(570,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ D @ A )
| ~ ( c_lessequals @ C @ D @ A )
| ~ ( c_lessequals @ B @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(408,axiom,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Un_0) ).
thf(1430,plain,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[408]) ).
thf(84,axiom,
! [A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ ( tc_fun @ A @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_2) ).
thf(719,plain,
! [A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ ( tc_fun @ A @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(361,axiom,
! [B: $i,A: $i] :
( ( c_Message_Omsg_ONonce @ A )
!= ( c_Message_Omsg_OHash @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I32_J_0) ).
thf(1330,plain,
! [B: $i,A: $i] :
( ( c_Message_Omsg_ONonce @ A )
!= ( c_Message_Omsg_OHash @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(337,axiom,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
thf(1279,plain,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(421,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oinsert @ A @ B @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Key__image_0) ).
thf(1455,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oinsert @ A @ B @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[421]) ).
thf(271,axiom,
! [B: $i,A: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
thf(1132,plain,
! [B: $i,A: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(516,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_0) ).
thf(1660,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[516]) ).
thf(346,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ E ) ) ) ) ) @ ( c_List_Oset @ F @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ F @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ E ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ F ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
thf(1298,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ E ) ) ) ) ) @ ( c_List_Oset @ F @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ F @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ E ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ F ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(445,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ A ) @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ C @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__image__eq_2) ).
thf(1511,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ A ) @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ C @ tc_Message_Oagent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[445]) ).
thf(78,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) )
= ( c_Set_Oimage @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
thf(702,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) )
= ( c_Set_Oimage @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(99,axiom,
! [B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Orderings_Otop__class_Otop @ A ) @ A )
= ( c_Orderings_Otop__class_Otop @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
thf(751,plain,
! [B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Orderings_Otop__class_Otop @ A ) @ A )
= ( c_Orderings_Otop__class_Otop @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(461,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ C ) @ A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ D ) @ B @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__image__eq_1) ).
thf(1545,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ C ) @ A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ D ) @ B @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[461]) ).
thf(164,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ B @ C )
= B )
| ~ ( hBOOL @ ( c_in @ A @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
thf(902,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ B @ C )
= B )
| ~ ( hBOOL @ ( c_in @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(49,axiom,
! [A: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ ( tc_fun @ A @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_1) ).
thf(638,plain,
! [A: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ ( tc_fun @ A @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(384,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_HOL_Oord @ A )
| ( c_lessequals @ ( hAPP @ B @ C ) @ ( hAPP @ D @ C ) @ A )
| ~ ( c_lessequals @ B @ D @ ( tc_fun @ E @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
thf(1379,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_HOL_Oord @ A )
| ( c_lessequals @ ( hAPP @ B @ C ) @ ( hAPP @ D @ C ) @ A )
| ~ ( c_lessequals @ B @ D @ ( tc_fun @ E @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(251,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_4) ).
thf(1087,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(279,axiom,
! [A: $i] :
( ( c_Message_Oanalz @ ( c_Message_Osynth @ A ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ A ) @ ( c_Message_Osynth @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__synth_0) ).
thf(1147,plain,
! [A: $i] :
( ( c_Message_Oanalz @ ( c_Message_Osynth @ A ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ A ) @ ( c_Message_Osynth @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(472,axiom,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) @ ( c_Set_Oimage @ c_Public_OshrK @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__notin__image__shrK_0) ).
thf(1568,plain,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) @ ( c_Set_Oimage @ c_Public_OshrK @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[472]) ).
thf(507,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ B @ ( c_Event_Oknows @ A @ C ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Notes_0) ).
thf(1641,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ B @ ( c_Event_Oknows @ A @ C ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[507]) ).
thf(256,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_2) ).
thf(1100,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(316,axiom,
! [A: $i] :
( ( c_Event_OinitState @ ( c_Message_Oagent_OFriend @ A ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Message_Oagent_OFriend @ A ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Message_Oagent_OFriend @ A ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ ( c_Message_Oagent_OFriend @ A ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__Friend_0) ).
thf(1232,plain,
! [A: $i] :
( ( c_Event_OinitState @ ( c_Message_Oagent_OFriend @ A ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Message_Oagent_OFriend @ A ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Message_Oagent_OFriend @ A ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ ( c_Message_Oagent_OFriend @ A ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(431,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ C ) @ D @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ C @ ( c_Event_Oknows @ A @ D ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Says_0) ).
thf(1479,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ C ) @ D @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ C @ ( c_Event_Oknows @ A @ D ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[431]) ).
thf(493,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ B @ C )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ A @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).
thf(1609,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ B @ C )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[493]) ).
thf(368,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ D @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ D @ C @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
thf(1347,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ D @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ D @ C @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(474,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ A @ B ) @ ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ C @ D @ E ) @ B @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Says_0) ).
thf(1572,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ A @ B ) @ ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ C @ D @ E ) @ B @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[474]) ).
thf(217,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_OMPair @ C @ D ) )
| ( B = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_1) ).
thf(1013,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_OMPair @ C @ D ) )
| ( B = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(108,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Orderings_Olinorder @ A )
| ( c_lessequals @ B @ C @ A )
| ( c_lessequals @ C @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
thf(770,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Orderings_Olinorder @ A )
| ( c_lessequals @ B @ C @ A )
| ( c_lessequals @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(401,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ A @ B ) @ C @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_OFake_0) ).
thf(1415,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ A @ B ) @ C @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).
thf(503,axiom,
! [B: $i,A: $i] :
( ( c_Message_Omsg_ONonce @ A )
!= ( c_Message_Omsg_OAgent @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I11_J_0) ).
thf(1632,plain,
! [B: $i,A: $i] :
( ( c_Message_Omsg_ONonce @ A )
!= ( c_Message_Omsg_OAgent @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[503]) ).
thf(54,axiom,
class_Lattices_Olattice @ tc_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
thf(646,plain,
class_Lattices_Olattice @ tc_bool,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(273,axiom,
! [B: $i,A: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( c_Message_Omsg_OHash @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I38_J_0) ).
thf(1136,plain,
! [B: $i,A: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( c_Message_Omsg_OHash @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(281,axiom,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__iff_0) ).
thf(1151,plain,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(386,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Nonce_0) ).
thf(1383,plain,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).
thf(123,axiom,
! [B: $i,A: $i] : ( c_lessequals @ A @ A @ ( tc_fun @ B @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
thf(806,plain,
! [B: $i,A: $i] : ( c_lessequals @ A @ A @ ( tc_fun @ B @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(295,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__synth__eq_0) ).
thf(1183,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(131,axiom,
! [A: $i] :
( ( c_Message_Osynth @ ( c_Message_Osynth @ A ) )
= ( c_Message_Osynth @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__idem_0) ).
thf(821,plain,
! [A: $i] :
( ( c_Message_Osynth @ ( c_Message_Osynth @ A ) )
= ( c_Message_Osynth @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(165,axiom,
! [B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Hash_0) ).
thf(905,plain,
! [B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(348,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ E ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ B @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ G ) ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ E ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS4__lemma_0) ).
thf(1302,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ E ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ B @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ G ) ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ E ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(101,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ A @ B @ C ) @ C )
= ( c_Set_Oinsert @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
thf(756,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ A @ B @ C ) @ C )
= ( c_Set_Oinsert @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(518,axiom,
! [A: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oparts @ A ) )
= ( c_Message_Oparts @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__parts_0) ).
thf(1664,plain,
! [A: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oparts @ A ) )
= ( c_Message_Oparts @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[518]) ).
thf(383,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
thf(1377,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(74,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ A @ B @ C ) @ D @ ( tc_fun @ C @ tc_bool ) )
= ( c_Set_Oinsert @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ ( tc_fun @ C @ tc_bool ) ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
thf(692,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ A @ B @ C ) @ D @ ( tc_fun @ C @ tc_bool ) )
= ( c_Set_Oinsert @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ ( tc_fun @ C @ tc_bool ) ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(91,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
thf(734,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(150,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( c_lessequals @ C @ A @ ( tc_fun @ D @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
thf(866,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( c_lessequals @ C @ A @ ( tc_fun @ D @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(452,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ B ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ B ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I4_J_0) ).
thf(1526,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ B ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ B ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[452]) ).
thf(370,axiom,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Event_OinitState @ A ) @ ( c_Event_Oknows @ A @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).
thf(1351,plain,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Event_OinitState @ A ) @ ( c_Event_Oknows @ A @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(367,axiom,
! [A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Message_OinvKey @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey_0) ).
thf(1345,plain,
! [A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Message_OinvKey @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(410,axiom,
! [A: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ A ) )
= ( c_Message_Oparts @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__analz_0) ).
thf(1433,plain,
! [A: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ A ) )
= ( c_Message_Oparts @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[410]) ).
thf(488,axiom,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ A @ B @ C ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertI1_0) ).
thf(1600,plain,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ A @ B @ C ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[488]) ).
thf(320,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ C @ D ) @ E @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ C @ D ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ E @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I12_J_0) ).
thf(1242,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ C @ D ) @ E @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ C @ D ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ E @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(449,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ D ) @ ( c_Message_Omsg_ONonce @ D ) ) ) ) @ E @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ G ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ H ) ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ I @ A @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS5_0) ).
thf(1521,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ D ) @ ( c_Message_Omsg_ONonce @ D ) ) ) ) @ E @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ G ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ H ) ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ I @ A @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[449]) ).
thf(203,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__used_1) ).
thf(981,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(107,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_List_Olist_OCons @ A @ B @ C )
!= ( c_List_Olist_OCons @ D @ E @ C ) )
| ( B = E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
thf(766,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_List_Olist_OCons @ A @ B @ C )
!= ( c_List_Olist_OCons @ D @ E @ C ) )
| ( B = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(289,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ B ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ B @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__freshK_2) ).
thf(1169,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ B ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ B @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(72,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ D @ ( tc_fun @ C @ tc_bool ) ) @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
thf(687,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ D @ ( tc_fun @ C @ tc_bool ) ) @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(308,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ B ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I1_J_0) ).
thf(1215,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ B ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(47,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ A ) @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).
thf(634,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ A ) @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(417,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Set_Oimage @ c_Public_OshrK @ B @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__image__eq_0) ).
thf(1447,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Set_Oimage @ c_Public_OshrK @ B @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[417]) ).
thf(191,axiom,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ B @ tc_bool ) ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
thf(956,plain,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ B @ tc_bool ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(499,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_OGets @ A @ B )
!= ( c_Event_Oevent_OSays @ C @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I5_J_0) ).
thf(1622,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_OGets @ A @ B )
!= ( c_Event_Oevent_OSays @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[499]) ).
thf(110,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
!= ( c_Orderings_Obot__class_Obot @ A ) )
| ( C
= ( c_Orderings_Obot__class_Obot @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
thf(774,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
!= ( c_Orderings_Obot__class_Obot @ A ) )
| ( C
= ( c_Orderings_Obot__class_Obot @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(512,axiom,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OAgent @ A )
!= ( c_Message_Omsg_OHash @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I14_J_0) ).
thf(1651,plain,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OAgent @ A )
!= ( c_Message_Omsg_OHash @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[512]) ).
thf(244,axiom,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ c_Message_OsymKeys @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__symKeys__priK_0) ).
thf(1074,plain,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ c_Message_OsymKeys @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(172,axiom,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__pubK_0) ).
thf(920,plain,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(60,axiom,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ A @ ( tc_fun @ C @ tc_bool ) ) @ ( tc_fun @ C @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
thf(661,plain,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ A @ ( tc_fun @ C @ tc_bool ) ) @ ( tc_fun @ C @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(175,axiom,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__Un__subset2_0) ).
thf(925,plain,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(301,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
thf(1199,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(126,axiom,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ ( tc_fun @ C @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
thf(810,plain,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ ( tc_fun @ C @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(364,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Omsg_OAgent @ A ) ) ) ) ) ) ) ) @ E @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_ONonce @ B ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ D @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Event_Oused @ E ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS2_0) ).
thf(1338,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Omsg_OAgent @ A ) ) ) ) ) ) ) ) @ E @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_ONonce @ B ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ D @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Event_Oused @ E ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(427,axiom,
! [B: $i,A: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( c_Message_Omsg_ONonce @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I31_J_0) ).
thf(1470,plain,
! [B: $i,A: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( c_Message_Omsg_ONonce @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[427]) ).
thf(2,negated_conjecture,
hBOOL @ ( c_in @ v_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(534,plain,
hBOOL @ ( c_in @ v_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(241,axiom,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) ) @ ( c_Event_Oused @ C ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__into__used_0) ).
thf(1067,plain,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) ) @ ( c_Event_Oused @ C ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(9,axiom,
class_Lattices_Oupper__semilattice @ tc_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
thf(546,plain,
class_Lattices_Oupper__semilattice @ tc_bool,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(118,axiom,
! [B: $i,A: $i] :
( ( ( c_Message_Omsg_OHash @ A )
!= ( c_Message_Omsg_OHash @ B ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I5_J_0) ).
thf(793,plain,
! [B: $i,A: $i] :
( ( ( c_Message_Omsg_OHash @ A )
!= ( c_Message_Omsg_OHash @ B ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(282,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__into__parts_0) ).
thf(1153,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(103,axiom,
class_Orderings_Olinorder @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
thf(761,plain,
class_Orderings_Olinorder @ tc_nat,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(232,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ E )
= ( c_Set_Oimage @ A @ C @ D @ E ) )
| ~ ( hBOOL @ ( c_in @ B @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).
thf(1047,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ E )
= ( c_Set_Oimage @ A @ C @ D @ E ) )
| ~ ( hBOOL @ ( c_in @ B @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(120,axiom,
! [B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ A @ ( tc_fun @ B @ tc_bool ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
thf(798,plain,
! [B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ A @ ( tc_fun @ B @ tc_bool ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(335,axiom,
! [B: $i,A: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).
thf(1274,plain,
! [B: $i,A: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(388,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_OCrypt @ C @ D ) )
| ( B = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
thf(1387,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_OCrypt @ C @ D ) )
| ( B = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).
thf(192,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ C @ ( c_Message_Omsg_OCrypt @ D @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ F ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ G ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_0) ).
thf(957,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ C @ ( c_Message_Omsg_OCrypt @ D @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ F ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ G ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(366,axiom,
! [A: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ A @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ A @ tc_nat @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__Key_0) ).
thf(1343,plain,
! [A: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ A @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ A @ tc_nat @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(189,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I61_J_0) ).
thf(952,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(448,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ C ) @ D @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ C @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ D ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
thf(1519,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ C ) @ D @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ C @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ D ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[448]) ).
thf(478,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( c_in @ B @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
thf(1580,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( c_in @ B @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[478]) ).
thf(519,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OMPair @ A @ B )
!= ( hAPP @ c_Message_Omsg_OKey @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I41_J_0) ).
thf(1666,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OMPair @ A @ B )
!= ( hAPP @ c_Message_Omsg_OKey @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[519]) ).
thf(129,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) )
!= ( c_Set_Oimage @ B @ C @ D @ A ) )
| ( C
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ D @ tc_bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
thf(815,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) )
!= ( c_Set_Oimage @ B @ C @ D @ A ) )
| ( C
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ D @ tc_bool ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(89,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
= B )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
thf(729,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
= B )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(319,axiom,
! [B: $i,A: $i] :
( ( ( c_Message_Omsg_ONonce @ A )
!= ( c_Message_Omsg_ONonce @ B ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I3_J_0) ).
thf(1238,plain,
! [B: $i,A: $i] :
( ( ( c_Message_Omsg_ONonce @ A )
!= ( c_Message_Omsg_ONonce @ B ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(473,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( hBOOL @ ( hAPP @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
thf(1570,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( hBOOL @ ( hAPP @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[473]) ).
thf(291,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ C @ D @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
thf(1174,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ C @ D @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(309,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_ONonce @ C ) ) ) ) @ D @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ C ) @ ( c_Event_Oused @ D ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS1_0) ).
thf(1217,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_ONonce @ C ) ) ) ) @ D @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ C ) @ ( c_Event_Oused @ D ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(31,axiom,
! [B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ A ) @ B @ A )
= ( c_Orderings_Otop__class_Otop @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
thf(598,plain,
! [B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ A ) @ B @ A )
= ( c_Orderings_Otop__class_Otop @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(116,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
| ~ ( c_lessequals @ A @ C @ ( tc_fun @ D @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
thf(788,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
| ~ ( c_lessequals @ A @ C @ ( tc_fun @ D @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(497,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ A ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ B @ C @ D ) @ A @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Says_0) ).
thf(1619,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ A ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ B @ C @ D ) @ A @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[497]) ).
thf(170,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ A ) @ ( c_Message_OkeysFor @ B ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ C ) @ B @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
thf(916,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ A ) @ ( c_Message_OkeysFor @ B ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ C ) @ B @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ A @ B ) )
| ~ ( class_Lattices_Olattice @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
thf(566,plain,
! [B: $i,A: $i] :
( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ A @ B ) )
| ~ ( class_Lattices_Olattice @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(225,axiom,
! [B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Key_0) ).
thf(1032,plain,
! [B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(377,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__analz__shrK_1) ).
thf(1365,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(42,axiom,
! [B: $i,A: $i] :
( ( class_HOL_Oord @ ( tc_fun @ A @ B ) )
| ~ ( class_HOL_Oord @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
thf(625,plain,
! [B: $i,A: $i] :
( ( class_HOL_Oord @ ( tc_fun @ A @ B ) )
| ~ ( class_HOL_Oord @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(155,axiom,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ c_Public_OshrK @ A )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ B ) @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_priK__neq__shrK_0) ).
thf(879,plain,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ c_Public_OshrK @ A )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ B ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(466,axiom,
! [A: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oanalz @ A ) )
= ( c_Message_Oanalz @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__idem_0) ).
thf(1555,plain,
! [A: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oanalz @ A ) )
= ( c_Message_Oanalz @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[466]) ).
thf(293,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ E @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ B ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ D ) @ ( c_Event_Oused @ E ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS4_0) ).
thf(1178,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ E @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ B ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ D ) @ ( c_Event_Oused @ E ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(422,axiom,
! [A: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).
thf(1457,plain,
! [A: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[422]) ).
thf(223,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ B @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ B @ D @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
thf(1027,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ B @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ B @ D @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(338,axiom,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OAgent @ A )
!= ( hAPP @ c_Message_Omsg_OKey @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I12_J_0) ).
thf(1281,plain,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OAgent @ A )
!= ( hAPP @ c_Message_Omsg_OKey @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(390,axiom,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OHash @ A )
!= ( hAPP @ c_Message_Omsg_OKey @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I39_J_0) ).
thf(1392,plain,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OHash @ A )
!= ( hAPP @ c_Message_Omsg_OKey @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).
thf(259,axiom,
! [A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ A @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ A @ tc_nat @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__image__Key_0) ).
thf(1106,plain,
! [A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ A @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ A @ tc_nat @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(305,axiom,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq__shrK_0) ).
thf(1210,plain,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(514,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ A ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
thf(1656,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ A ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[514]) ).
thf(70,axiom,
! [B: $i,A: $i] :
( ( class_Orderings_Otop @ ( tc_fun @ A @ B ) )
| ~ ( class_Orderings_Otop @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
thf(682,plain,
! [B: $i,A: $i] :
( ( class_Orderings_Otop @ ( tc_fun @ A @ B ) )
| ~ ( class_Orderings_Otop @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(299,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__analz_1) ).
thf(1195,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(475,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_ONonce @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I37_J_0) ).
thf(1573,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_ONonce @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[475]) ).
thf(200,axiom,
! [A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ A ) ) @ c_Message_OsymKeys @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_symKey__neq__priEK_0) ).
thf(974,plain,
! [A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ A ) ) @ c_Message_OsymKeys @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(374,axiom,
! [A: $i] : ( c_lessequals @ A @ ( c_Message_Oanalz @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
thf(1360,plain,
! [A: $i] : ( c_lessequals @ A @ ( c_Message_Oanalz @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(94,axiom,
class_Orderings_Otop @ tc_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
thf(742,plain,
class_Orderings_Otop @ tc_bool,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(153,axiom,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ B ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__notin__initState_0) ).
thf(874,plain,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ B ) ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(38,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
= C )
| ~ ( c_lessequals @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
thf(615,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
= C )
| ~ ( c_lessequals @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(360,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ B @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1 @ C @ F @ E ) @ ( hAPP @ c_Message_Omsg_OKey @ C ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ G ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ E ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ E ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS4_0) ).
thf(1328,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ E @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ B @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1 @ C @ F @ E ) @ ( hAPP @ c_Message_Omsg_OKey @ C ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ G ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ E ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ E ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(382,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__iff_1) ).
thf(1375,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(240,axiom,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ A ) @ B )
!= ( hAPP @ c_Public_OshrK @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__neq__pubK_0) ).
thf(1064,plain,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ A ) @ B )
!= ( hAPP @ c_Public_OshrK @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(314,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_OSays @ A @ B @ C )
!= ( c_Event_Oevent_OGets @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).
thf(1227,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_OSays @ A @ B @ C )
!= ( c_Event_Oevent_OGets @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(87,axiom,
! [B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Orderings_Obot__class_Obot @ A ) @ A )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
thf(725,plain,
! [B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Orderings_Obot__class_Obot @ A ) @ A )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(439,axiom,
! [A: $i] :
( ~ ( class_Orderings_Obot @ A )
| ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ A ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
thf(1498,plain,
! [A: $i] :
( ~ ( class_Orderings_Obot @ A )
| ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ A ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[439]) ).
thf(265,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__synth__eq_1) ).
thf(1118,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(206,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Event_Oknows @ B @ C ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ B @ C ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__knows__A_0) ).
thf(989,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Event_Oknows @ B @ C ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ B @ C ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(392,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ( hBOOL @ ( c_in @ D @ A @ C ) )
| ~ ( c_lessequals @ A @ ( c_Set_Oinsert @ D @ B @ C ) @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
thf(1397,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ( hBOOL @ ( c_in @ D @ A @ C ) )
| ~ ( c_lessequals @ A @ ( c_Set_Oinsert @ D @ B @ C ) @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).
thf(76,axiom,
! [C: $i,B: $i,A: $i] :
( A
!= ( c_List_Olist_OCons @ B @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
thf(697,plain,
! [C: $i,B: $i,A: $i] :
( A
!= ( c_List_Olist_OCons @ B @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(252,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Message_Oanalz @ A )
!= ( c_Message_Oanalz @ B ) )
| ( ( c_Message_Oanalz @ C )
!= ( c_Message_Oanalz @ D ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ A @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__cong_0) ).
thf(1089,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Message_Oanalz @ A )
!= ( c_Message_Oanalz @ B ) )
| ( ( c_Message_Oanalz @ C )
!= ( c_Message_Oanalz @ D ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ A @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(317,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__synth_0) ).
thf(1234,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(459,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ D ) @ ( c_Message_Omsg_ONonce @ D ) ) ) ) @ E @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ G ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ H ) ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ I @ A @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS5_0) ).
thf(1541,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ D ) @ ( c_Message_Omsg_ONonce @ D ) ) ) ) @ E @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ G ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ H ) ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ I @ A @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ D ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[459]) ).
thf(56,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
thf(650,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(187,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Set_Oinsert @ C @ B @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__cut_0) ).
thf(948,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Set_Oinsert @ C @ B @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(456,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__sing_0) ).
thf(1534,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[456]) ).
thf(218,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ B @ C ) )
| ( hBOOL @ ( c_in @ ( hAPP @ D @ A ) @ ( c_Set_Oimage @ D @ B @ C @ E ) @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__iff_2) ).
thf(1017,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ B @ C ) )
| ( hBOOL @ ( c_in @ ( hAPP @ D @ A ) @ ( c_Set_Oimage @ D @ B @ C @ E ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(285,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lemma1_0) ).
thf(1160,plain,
! [C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(248,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ B ) @ ( hAPP @ c_Message_Omsg_OKey @ C ) ) ) ) @ D @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ E @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ F ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ G ) ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ E @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ B ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_OOops_0) ).
thf(1082,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ B ) @ ( hAPP @ c_Message_Omsg_OKey @ C ) ) ) ) @ D @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ E @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ F ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ G ) ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ E @ ( c_Message_Omsg_OCrypt @ C @ ( c_Message_Omsg_ONonce @ B ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(375,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Omsg_OAgent @ A ) ) ) ) ) ) ) ) @ E @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_ONonce @ B ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ D @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Event_Oused @ E ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS2_0) ).
thf(1361,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Omsg_OAgent @ A ) ) ) ) ) ) ) ) @ E @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_ONonce @ B ) ) ) ) @ ( c_List_Oset @ E @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ D @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Event_Oused @ E ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(180,axiom,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ C @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__image__Key_0) ).
thf(933,plain,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ C @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(64,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
thf(669,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(405,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
thf(1424,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[405]) ).
thf(307,axiom,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Agent__synth_0) ).
thf(1214,plain,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(416,axiom,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).
thf(1446,plain,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[416]) ).
thf(304,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_OAgent @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I17_J_0) ).
thf(1207,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_OAgent @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(437,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ C @ D @ E ) @ B @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I1_J_0) ).
thf(1493,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ C @ D @ E ) @ B @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[437]) ).
thf(526,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_5) ).
thf(1683,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[526]) ).
thf(494,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ C @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__trans_0) ).
thf(1612,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ C @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[494]) ).
thf(198,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Nonce_0) ).
thf(970,plain,
! [B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(283,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert_0) ).
thf(1155,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ B @ A )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).
thf(547,plain,
! [B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ B @ A )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(41,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C )
!= ( c_Set_Oinsert @ D @ ( c_Set_Oinsert @ E @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) )
| ( B = D )
| ( A = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
thf(622,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C )
!= ( c_Set_Oinsert @ D @ ( c_Set_Oinsert @ E @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) )
| ( B = D )
| ( A = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(345,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ A @ B ) @ ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ C @ D ) @ B @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Gets_0) ).
thf(1297,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ A @ B ) @ ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ C @ D ) @ B @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(419,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__parts__UnE_0) ).
thf(1451,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).
thf(298,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ B @ ( c_Event_Oknows @ A @ C ) @ tc_Message_Omsg ) )
| ( A = c_Message_Oagent_OSpy ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Gets_0) ).
thf(1192,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ B @ ( c_Event_Oknows @ A @ C ) @ tc_Message_Omsg ) )
| ( A = c_Message_Oagent_OSpy ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(168,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ A ) @ B )
!= ( hAPP @ ( c_Public_OpublicKey @ C ) @ D ) )
| ( A = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__inject_0) ).
thf(911,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ A ) @ B )
!= ( hAPP @ ( c_Public_OpublicKey @ C ) @ D ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(85,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ A @ B @ C )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
thf(721,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ A @ B @ C )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(407,axiom,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ A @ B @ C ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
thf(1429,plain,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ A @ B @ C ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[407]) ).
thf(322,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_ONonce @ C ) ) ) ) @ D @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ C ) @ ( c_Event_Oused @ D ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ D @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS1_0) ).
thf(1246,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_ONonce @ C ) ) ) ) @ D @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ C ) @ ( c_Event_Oused @ D ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ D @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(34,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ A @ B @ C ) @ ( c_Set_Oinsert @ A @ D @ C ) @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ B @ D @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
thf(605,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ A @ B @ C ) @ ( c_Set_Oinsert @ A @ D @ C ) @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ B @ D @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(358,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OMPair_0) ).
thf(1324,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(263,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OInj_0) ).
thf(1114,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(55,axiom,
! [B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ A ) @ B @ A )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
thf(647,plain,
! [B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ A ) @ B @ A )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(329,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
thf(1263,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(454,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__synth_0) ).
thf(1530,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[454]) ).
thf(458,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ C @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
thf(1539,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ C @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[458]) ).
thf(238,axiom,
! [B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Agent_0) ).
thf(1060,plain,
! [B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(233,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ D @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
thf(1050,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ D @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(362,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__empty_0) ).
thf(1333,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(355,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).
thf(1318,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(302,axiom,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( c_Message_Omsg_OCrypt @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I42_J_0) ).
thf(1202,plain,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ A )
!= ( c_Message_Omsg_OCrypt @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(530,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
| ~ ( c_lessequals @ A @ C @ ( tc_fun @ D @ tc_bool ) )
| ( hBOOL @ ( c_in @ B @ A @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
thf(1695,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
| ~ ( c_lessequals @ A @ C @ ( tc_fun @ D @ tc_bool ) )
| ( hBOOL @ ( c_in @ B @ A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[530]) ).
thf(173,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__iff_0) ).
thf(921,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(58,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A )
| ~ ( c_lessequals @ B @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI2_0) ).
thf(657,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A )
| ~ ( c_lessequals @ B @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(340,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
thf(1286,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(425,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ D ) )
| ~ ( hBOOL @ ( hAPP @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_0) ).
thf(1466,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ D ) )
| ~ ( hBOOL @ ( hAPP @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[425]) ).
thf(66,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oimage @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ D @ tc_bool ) ) @ D @ E )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ A @ B @ D @ E ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ ( tc_fun @ E @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Un_0) ).
thf(674,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oimage @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ D @ tc_bool ) ) @ D @ E )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ A @ B @ D @ E ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ ( tc_fun @ E @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(447,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_OSays @ A @ B @ C )
!= ( c_Event_Oevent_OSays @ D @ E @ F ) )
| ( A = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
thf(1515,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_OSays @ A @ B @ C )
!= ( c_Event_Oevent_OSays @ D @ E @ F ) )
| ( A = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[447]) ).
thf(496,axiom,
! [B: $i,A: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ B ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
thf(1616,plain,
! [B: $i,A: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ B ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[496]) ).
thf(296,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_OCrypt @ C @ D ) )
| ( A = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
thf(1185,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_OCrypt @ C @ D ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(27,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ C @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
thf(586,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ C @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ A ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(176,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__freshK_1) ).
thf(926,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(250,axiom,
hBOOL @ ( c_in @ c_Message_Oagent_OSpy @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).
thf(1086,plain,
hBOOL @ ( c_in @ c_Message_Oagent_OSpy @ c_Event_Obad @ tc_Message_Oagent ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(182,axiom,
! [A: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ A ) ) @ ( c_Event_Oused @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
thf(938,plain,
! [A: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ A ) ) @ ( c_Event_Oused @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(106,axiom,
class_Lattices_Olattice @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
thf(765,plain,
class_Lattices_Olattice @ tc_nat,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(235,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__parts__subset__parts_0) ).
thf(1054,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(222,axiom,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Event_Oused @ C ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__into__used_0) ).
thf(1026,plain,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Event_Oused @ C ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(288,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ C ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ C ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I9_J_0) ).
thf(1167,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ C ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ C ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(61,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
= ( c_Set_Oinsert @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ C @ ( tc_fun @ D @ tc_bool ) ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
thf(662,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
= ( c_Set_Oinsert @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ C @ ( tc_fun @ D @ tc_bool ) ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(158,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ C ) @ D @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__notin__image__privateKey_0) ).
thf(888,plain,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ C ) @ D @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(525,axiom,
! [B: $i,A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ A ) )
!= ( hAPP @ c_Public_OshrK @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_priEK__noteq__shrK_0) ).
thf(1680,plain,
! [B: $i,A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ A ) )
!= ( hAPP @ c_Public_OshrK @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[525]) ).
thf(257,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( hBOOL @ ( c_in @ A @ D @ C ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subsetD_0) ).
thf(1103,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( hBOOL @ ( c_in @ A @ D @ C ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(334,axiom,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__in__used_0) ).
thf(1273,plain,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(146,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OHash @ A )
!= ( c_Message_Omsg_OMPair @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I44_J_0) ).
thf(856,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OHash @ A )
!= ( c_Message_Omsg_OMPair @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(96,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C )
!= ( c_Set_Oinsert @ D @ ( c_Set_Oinsert @ E @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) )
| ( B = D )
| ( B = E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
thf(745,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C )
!= ( c_Set_Oinsert @ D @ ( c_Set_Oinsert @ E @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) )
| ( B = D )
| ( B = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(73,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
= A )
| ~ ( c_lessequals @ B @ A @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
thf(689,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
= A )
| ~ ( c_lessequals @ B @ A @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(32,axiom,
! [B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ A @ tc_bool ) ) @ B @ ( tc_fun @ A @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ A @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
thf(601,plain,
! [B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ A @ tc_bool ) ) @ B @ ( tc_fun @ A @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ A @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(196,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_OSays @ A @ B @ C )
!= ( c_Event_Oevent_ONotes @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I6_J_0) ).
thf(965,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_OSays @ A @ B @ C )
!= ( c_Event_Oevent_ONotes @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(444,axiom,
! [B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ A @ tc_bool ) ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top1I_0) ).
thf(1510,plain,
! [B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ A @ tc_bool ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[444]) ).
thf(324,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
thf(1251,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(39,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ B @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ D @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__least_0) ).
thf(618,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ B @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ D @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(310,axiom,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ A @ B ) @ ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ C @ B @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
thf(1219,plain,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ A @ B ) @ ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ C @ B @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(133,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ D @ tc_bool ) ) @ ( tc_fun @ D @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ C @ ( tc_fun @ D @ tc_bool ) ) @ ( tc_fun @ D @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
thf(824,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ D @ tc_bool ) ) @ ( tc_fun @ D @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ C @ ( tc_fun @ D @ tc_bool ) ) @ ( tc_fun @ D @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(26,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ D @ ( tc_fun @ C @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ ( tc_fun @ C @ tc_bool ) ) @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
thf(584,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ D @ ( tc_fun @ C @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ ( tc_fun @ C @ tc_bool ) ) @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(90,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ A @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
thf(732,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ A @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(140,axiom,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ A ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ B @ C ) @ A @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Gets_0) ).
thf(843,plain,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ A ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ B @ C ) @ A @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(109,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ A @ B @ C @ D ) @ ( c_Set_Oimage @ A @ E @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
= ( c_Set_Oimage @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ E @ ( tc_fun @ C @ tc_bool ) ) @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I57_J_0) ).
thf(772,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ A @ B @ C @ D ) @ ( c_Set_Oimage @ A @ E @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
= ( c_Set_Oimage @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ E @ ( tc_fun @ C @ tc_bool ) ) @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(498,axiom,
! [A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Public_OshrK @ A ) )
= ( hAPP @ c_Public_OshrK @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
thf(1620,plain,
! [A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Public_OshrK @ A ) )
= ( hAPP @ c_Public_OshrK @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[498]) ).
thf(95,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ D @ tc_bool ) ) @ ( tc_fun @ D @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ D @ tc_bool ) ) @ C @ ( tc_fun @ D @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I65_J_0) ).
thf(743,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ D @ tc_bool ) ) @ ( tc_fun @ D @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ D @ tc_bool ) ) @ C @ ( tc_fun @ D @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(24,axiom,
! [C: $i,B: $i,A: $i] :
( ( A
= ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) )
| ( A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) )
| ~ ( c_lessequals @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
thf(579,plain,
! [C: $i,B: $i,A: $i] :
( ( A
= ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) )
| ( A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) )
| ~ ( c_lessequals @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(395,axiom,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ A @ B @ C ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
thf(1403,plain,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ A @ B @ C ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).
thf(268,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__image__eq_1) ).
thf(1124,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(215,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OAgent @ A )
!= ( c_Message_Omsg_OMPair @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I16_J_0) ).
thf(1007,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OAgent @ A )
!= ( c_Message_Omsg_OMPair @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(75,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
= B )
| ~ ( c_lessequals @ C @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
thf(694,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
= B )
| ~ ( c_lessequals @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(134,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) )
| ( A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).
thf(826,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) )
| ( A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(23,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oimage @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B @ C )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__empty_0) ).
thf(577,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oimage @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B @ C )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(326,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ ( c_Set_Oinsert @ D @ B @ C ) @ ( tc_fun @ C @ tc_bool ) )
| ( hBOOL @ ( c_in @ D @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_0) ).
thf(1256,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ ( c_Set_Oinsert @ D @ B @ C ) @ ( tc_fun @ C @ tc_bool ) )
| ( hBOOL @ ( c_in @ D @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(435,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
| ~ ( c_lessequals @ A @ C @ ( tc_fun @ D @ tc_bool ) )
| ( hBOOL @ ( c_in @ B @ A @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_1) ).
thf(1488,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
| ~ ( c_lessequals @ A @ C @ ( tc_fun @ D @ tc_bool ) )
| ( hBOOL @ ( c_in @ B @ A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[435]) ).
thf(51,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ D @ A )
| ~ ( c_lessequals @ C @ D @ A )
| ~ ( c_lessequals @ B @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
thf(641,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ D @ A )
| ~ ( c_lessequals @ C @ D @ A )
| ~ ( c_lessequals @ B @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(520,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__eq_0) ).
thf(1669,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[520]) ).
thf(21,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oimage @ A @ B @ C @ D )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ D @ tc_bool ) ) )
| ( B
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
thf(572,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oimage @ A @ B @ C @ D )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ D @ tc_bool ) ) )
| ( B
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(352,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ D @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ F ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ G ) @ B ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ H ) @ ( c_Message_Omsg_OMPair @ I @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ J ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ G ) @ A ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_3) ).
thf(1312,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ D @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ F ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ G ) @ B ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ H ) @ ( c_Message_Omsg_OMPair @ I @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ J ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ G ) @ A ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(36,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
thf(611,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(504,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ D ) )
| ~ ( hBOOL @ ( c_in @ A @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).
thf(1635,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ D ) )
| ~ ( hBOOL @ ( c_in @ A @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[504]) ).
thf(237,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ C ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert2_0) ).
thf(1058,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ C ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(253,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_ONotes @ A @ B )
!= ( c_Event_Oevent_OSays @ C @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I7_J_0) ).
thf(1092,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_ONotes @ A @ B )
!= ( c_Event_Oevent_OSays @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(313,axiom,
! [B: $i,A: $i] :
( ( c_Message_Omsg_ONonce @ A )
!= ( hAPP @ c_Message_Omsg_OKey @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I30_J_0) ).
thf(1224,plain,
! [B: $i,A: $i] :
( ( c_Message_Omsg_ONonce @ A )
!= ( hAPP @ c_Message_Omsg_OKey @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(65,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ A @ B @ C @ D ) @ ( c_Set_Oimage @ A @ E @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
| ~ ( c_lessequals @ B @ E @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__mono_0) ).
thf(672,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ A @ B @ C @ D ) @ ( c_Set_Oimage @ A @ E @ C @ D ) @ ( tc_fun @ D @ tc_bool ) )
| ~ ( c_lessequals @ B @ E @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(274,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Decrypt_H_0) ).
thf(1139,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(441,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__eq_1) ).
thf(1503,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[441]) ).
thf(333,axiom,
( ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__empty_0) ).
thf(1271,plain,
( ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(380,axiom,
! [A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ A ) @ c_Message_OsymKeys @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__shrK_0) ).
thf(1371,plain,
! [A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ A ) @ c_Message_OsymKeys @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(327,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Public_Okeymode_OSignature ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
thf(1258,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Public_Okeymode_OSignature ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(79,axiom,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ A ) @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Osynth @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__Un_0) ).
thf(704,plain,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ A ) @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Osynth @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(523,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_ONonce @ A )
!= ( c_Message_Omsg_OMPair @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
thf(1675,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_ONonce @ A )
!= ( c_Message_Omsg_OMPair @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[523]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
thf(540,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(202,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Event_Oused @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Gets_0) ).
thf(979,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Event_Oused @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(163,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ C @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__used_0) ).
thf(900,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ C @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(114,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A )
| ~ ( c_lessequals @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI1_0) ).
thf(784,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A )
| ~ ( c_lessequals @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(451,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Key_0) ).
thf(1524,plain,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[451]) ).
thf(92,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) )
!= ( c_Set_Oinsert @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
thf(736,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) )
!= ( c_Set_Oinsert @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(369,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
thf(1349,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(490,axiom,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ c_Public_OshrK @ A )
!= ( hAPP @ ( c_Public_OpublicKey @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pubK__neq__shrK_0) ).
thf(1603,plain,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ c_Public_OshrK @ A )
!= ( hAPP @ ( c_Public_OpublicKey @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[490]) ).
thf(277,axiom,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) ) @ ( c_Event_OinitState @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_priK__in__initState_0) ).
thf(1144,plain,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) ) @ ( c_Event_OinitState @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(230,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).
thf(1043,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(267,axiom,
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ v_x )
= ( c_in @ v_x @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp__ns__shared__eq_0) ).
thf(1122,plain,
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ v_x )
= ( c_in @ v_x @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(350,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ B @ C )
!= ( c_Set_Oinsert @ A @ D @ C ) )
| ( hBOOL @ ( c_in @ A @ D @ C ) )
| ( hBOOL @ ( c_in @ A @ B @ C ) )
| ( B = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__ident_0) ).
thf(1307,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ B @ C )
!= ( c_Set_Oinsert @ A @ D @ C ) )
| ( hBOOL @ ( c_in @ A @ D @ C ) )
| ( hBOOL @ ( c_in @ A @ B @ C ) )
| ( B = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(482,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ A @ B ) @ ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ C @ D ) @ B @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Notes_0) ).
thf(1589,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_Event_Oknows @ A @ B ) @ ( c_Event_Oknows @ A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ C @ D ) @ B @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[482]) ).
thf(210,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( A
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Omsg_OAgent @ E ) ) ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ E @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ G ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ A ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__S__message__form_1) ).
thf(996,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( A
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ ( c_Message_Omsg_OAgent @ E ) ) ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ E @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ G ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ D ) @ A ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(159,axiom,
! [A: $i] :
( ~ ( class_Orderings_Otop @ A )
| ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ A ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__fun__eq_0) ).
thf(890,plain,
! [A: $i] :
( ~ ( class_Orderings_Otop @ A )
| ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ A ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(127,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ B @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ D @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
thf(811,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ B @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ D @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(247,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Event_OinitState @ C ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__into__used_0) ).
thf(1080,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Event_OinitState @ C ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(45,axiom,
class_Orderings_Obot @ tc_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
thf(631,plain,
class_Orderings_Obot @ tc_bool,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(102,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C )
!= ( c_Set_Oinsert @ D @ ( c_Set_Oinsert @ E @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) )
| ( A = E )
| ( A = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
thf(758,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C )
!= ( c_Set_Oinsert @ D @ ( c_Set_Oinsert @ E @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) )
| ( A = E )
| ( A = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(3,negated_conjecture,
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(535,plain,
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(502,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
thf(1630,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[502]) ).
thf(30,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_OGets @ A @ B )
!= ( c_Event_Oevent_OGets @ C @ D ) )
| ( B = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).
thf(594,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_OGets @ A @ B )
!= ( c_Event_Oevent_OGets @ C @ D ) )
| ( B = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(286,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( hAPP @ c_Message_Omsg_OKey @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).
thf(1162,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( hAPP @ c_Message_Omsg_OKey @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(280,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ D @ tc_bool ) ) @ D ) )
| ~ ( hBOOL @ ( c_in @ A @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_0) ).
thf(1149,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ D @ tc_bool ) ) @ D ) )
| ~ ( hBOOL @ ( c_in @ A @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(423,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_ONonce @ A )
!= ( c_Message_Omsg_OCrypt @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I36_J_0) ).
thf(1460,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_ONonce @ A )
!= ( c_Message_Omsg_OCrypt @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[423]) ).
thf(220,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__synth_0) ).
thf(1022,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(343,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__Un_0) ).
thf(1293,plain,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(385,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( hAPP @ C @ B ) )
| ~ ( c_lessequals @ C @ A @ ( tc_fun @ D @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
thf(1381,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( hAPP @ C @ B ) )
| ~ ( c_lessequals @ C @ A @ ( tc_fun @ D @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(262,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lemma2_0) ).
thf(1112,plain,
! [C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(467,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ C @ D @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).
thf(1557,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ C @ D @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[467]) ).
thf(12,axiom,
class_Lattices_Obounded__lattice @ tc_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
thf(552,plain,
class_Lattices_Obounded__lattice @ tc_bool,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(143,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ A @ B @ C ) @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ B @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ D @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
thf(848,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ A @ B @ C ) @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ B @ D @ ( tc_fun @ C @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ D @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(77,axiom,
! [B: $i,A: $i] :
( ( class_Lattices_Olattice @ ( tc_fun @ A @ B ) )
| ~ ( class_Lattices_Olattice @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
thf(700,plain,
! [B: $i,A: $i] :
( ( class_Lattices_Olattice @ ( tc_fun @ A @ B ) )
| ~ ( class_Lattices_Olattice @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(224,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Crypt__if_1) ).
thf(1029,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ A ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(161,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OHash @ A )
!= ( c_Message_Omsg_OCrypt @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I46_J_0) ).
thf(895,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OHash @ A )
!= ( c_Message_Omsg_OCrypt @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(290,axiom,
! [B: $i,A: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ B ) ) @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Key_0) ).
thf(1171,plain,
! [B: $i,A: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ B ) ) @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(204,axiom,
! [B: $i,A: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ B ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
thf(983,plain,
! [B: $i,A: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ B ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(485,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ A @ D @ C ) @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
thf(1594,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ A @ D @ C ) @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[485]) ).
thf(193,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__image__eq_0) ).
thf(959,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(48,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ D @ A )
| ~ ( c_lessequals @ C @ D @ A )
| ~ ( c_lessequals @ B @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__least_0) ).
thf(636,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ D @ A )
| ~ ( c_lessequals @ C @ D @ A )
| ~ ( c_lessequals @ B @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(292,axiom,
! [A: $i] :
( ( hBOOL @ ( c_in @ A @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ A ) @ c_Message_OsymKeys @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_0) ).
thf(1176,plain,
! [A: $i] :
( ( hBOOL @ ( c_in @ A @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ A ) @ c_Message_OsymKeys @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(205,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_OCrypt @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I48_J_0) ).
thf(986,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_OCrypt @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(17,axiom,
! [A: $i] :
( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ A @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
thf(563,plain,
! [A: $i] :
( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ A @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(430,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ A ) @ ( c_Set_Oimage @ c_Message_OinvKey @ B @ tc_nat @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__image__eq_0) ).
thf(1477,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ A ) @ ( c_Set_Oimage @ c_Message_OinvKey @ B @ tc_nat @ tc_nat ) @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[430]) ).
thf(57,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_ONotes @ A @ B )
!= ( c_Event_Oevent_ONotes @ C @ D ) )
| ( A = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_0) ).
thf(653,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_ONotes @ A @ B )
!= ( c_Event_Oevent_ONotes @ C @ D ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(453,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono_0) ).
thf(1528,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[453]) ).
thf(151,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_OHash @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I47_J_0) ).
thf(868,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_OHash @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(112,axiom,
class_HOL_Oord @ tc_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
thf(780,plain,
class_HOL_Oord @ tc_bool,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(508,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ B @ C ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ B @ C ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I6_J_0) ).
thf(1643,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ B @ C ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ B @ C ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[508]) ).
thf(212,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( hAPP @ c_Public_OshrK @ B ) )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ B @ ( c_Message_Omsg_OCrypt @ A @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ E ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ G ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_2) ).
thf(1000,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( hAPP @ c_Public_OshrK @ B ) )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ B @ ( c_Message_Omsg_OCrypt @ A @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ E ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ G ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(411,axiom,
! [B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__parts__not__analz_0) ).
thf(1435,plain,
! [B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[411]) ).
thf(226,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_2) ).
thf(1034,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(480,axiom,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OHash @ A )
!= ( c_Message_Omsg_ONonce @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I33_J_0) ).
thf(1583,plain,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OHash @ A )
!= ( c_Message_Omsg_ONonce @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[480]) ).
thf(517,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ C ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ C ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
thf(1662,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ B @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ C ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ C ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[517]) ).
thf(349,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singletonE_0) ).
thf(1304,plain,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(28,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
!= ( c_Orderings_Obot__class_Obot @ A ) )
| ( B
= ( c_Orderings_Obot__class_Obot @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
thf(589,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Obounded__lattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
!= ( c_Orderings_Obot__class_Obot @ A ) )
| ( B
= ( c_Orderings_Obot__class_Obot @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(69,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ A ) @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_0) ).
thf(680,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ A ) @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(336,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ C @ D @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
thf(1277,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ C @ D @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(272,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ C @ D @ ( c_Message_Omsg_OCrypt @ E @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ G @ ( c_Message_Omsg_OMPair @ H @ A ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).
thf(1134,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ C @ D @ ( c_Message_Omsg_OCrypt @ E @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ G @ ( c_Message_Omsg_OMPair @ H @ A ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(98,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ A ) @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
thf(749,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ A ) @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(278,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ E ) )
| ~ ( hBOOL @ ( c_in @ B @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).
thf(1145,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ E ) )
| ~ ( hBOOL @ ( c_in @ B @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(100,axiom,
! [B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ B @ tc_bool ) ) @ ( tc_fun @ B @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ B @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
thf(754,plain,
! [B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ B @ tc_bool ) ) @ ( tc_fun @ B @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ B @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(13,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ C @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
thf(553,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ C @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ A ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(400,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ B @ C ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ B @ C ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I5_J_0) ).
thf(1413,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ B @ C ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ B @ C ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).
thf(245,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_OinitState @ c_Message_Oagent_OSpy ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ ( c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 @ A @ B ) @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ ( c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 @ A @ B ) @ ( c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2 @ A @ B ) @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__imp__Says__Notes__initState_0) ).
thf(1076,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_OinitState @ c_Message_Oagent_OSpy ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ ( c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 @ A @ B ) @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ ( c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 @ A @ B ) @ ( c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2 @ A @ B ) @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(5,negated_conjecture,
hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(531,plain,
hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @ tc_Message_Omsg ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(185,axiom,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_List_Oset @ A @ B ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ C @ A @ B ) @ B ) @ ( tc_fun @ B @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__subset__Cons_0) ).
thf(944,plain,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ ( c_List_Oset @ A @ B ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ C @ A @ B ) @ B ) @ ( tc_fun @ B @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(183,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ C @ D @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
thf(939,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ C @ D @ A ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(365,axiom,
! [A: $i] :
( ( ( hAPP @ c_Message_OinvKey @ A )
= A )
| ~ ( hBOOL @ ( c_in @ A @ c_Message_OsymKeys @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).
thf(1340,plain,
! [A: $i] :
( ( ( hAPP @ c_Message_OinvKey @ A )
= A )
| ~ ( hBOOL @ ( c_in @ A @ c_Message_OsymKeys @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(197,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ C ) @ A ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ D ) @ B @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__image__eq_1) ).
thf(968,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ C ) @ A ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ D ) @ B @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(132,axiom,
class_HOL_Oord @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
thf(823,plain,
class_HOL_Oord @ tc_nat,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(137,axiom,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Osimps_I2_J_0) ).
thf(836,plain,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(464,axiom,
! [B: $i,A: $i] :
( ( ( hAPP @ c_Message_OinvKey @ A )
!= ( hAPP @ c_Message_OinvKey @ B ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
thf(1551,plain,
! [B: $i,A: $i] :
( ( ( hAPP @ c_Message_OinvKey @ A )
!= ( hAPP @ c_Message_OinvKey @ B ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[464]) ).
thf(462,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__synth__eq_1) ).
thf(1547,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[462]) ).
thf(487,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ C ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ C ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I11_J_0) ).
thf(1598,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ C ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ C ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[487]) ).
thf(243,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_OSays @ A @ B @ C )
!= ( c_Event_Oevent_OSays @ D @ E @ F ) )
| ( C = F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
thf(1070,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_OSays @ A @ B @ C )
!= ( c_Event_Oevent_OSays @ D @ E @ F ) )
| ( C = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(80,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) )
| ( B
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).
thf(705,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) )
| ( B
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(471,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Message_Oparts @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__partsD_0) ).
thf(1566,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Message_Oparts @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[471]) ).
thf(510,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ ( c_Message_Omsg_OMPair @ A @ B ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ ( c_Message_Omsg_OMPair @ A @ B ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__synth__analz_0) ).
thf(1647,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ ( c_Message_Omsg_OMPair @ A @ B ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ ( c_Message_Omsg_OMPair @ A @ B ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[510]) ).
thf(190,axiom,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ B ) @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__notin__image__privateKey_0) ).
thf(954,plain,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ B ) @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(93,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
!= B )
| ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
thf(739,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) )
!= B )
| ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(331,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ C @ D ) @ B @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I3_J_0) ).
thf(1267,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ C @ D ) @ B @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(255,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OCrypt_0) ).
thf(1098,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ C @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(208,axiom,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__Un__subset1_0) ).
thf(993,plain,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(82,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_lessequals @ B @ A @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
thf(712,plain,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_lessequals @ B @ A @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(15,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ D @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
thf(557,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ D @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(213,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ C @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__trans_0) ).
thf(1003,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ C @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(315,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ C ) ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__analz_0) ).
thf(1230,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ C ) ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(433,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Set_Oimage @ c_Public_OshrK @ B @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__image__eq_1) ).
thf(1484,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Set_Oimage @ c_Public_OshrK @ B @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_Message_Oagent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[433]) ).
thf(228,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ A ) @ B )
!= ( hAPP @ ( c_Public_OpublicKey @ C ) @ D ) )
| ( B = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__inject_1) ).
thf(1038,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ A ) @ B )
!= ( hAPP @ ( c_Public_OpublicKey @ C ) @ D ) )
| ( B = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(354,axiom,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__spies__pubK_0) ).
thf(1317,plain,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(515,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ A @ B @ C @ D ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ D @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ B @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ A ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ D ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS3_0) ).
thf(1658,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ A @ B @ C @ D ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ D @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ B @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Message_Omsg_OAgent @ A ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ D ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[515]) ).
thf(52,axiom,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ B @ ( tc_fun @ A @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
thf(643,plain,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ B @ ( tc_fun @ A @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(311,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ D @ E @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ F ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ G ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ A ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__S__message__form_0) ).
thf(1220,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ D @ E @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ F ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ G ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ A ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(166,axiom,
( ( c_Event_OinitState @ c_Message_Oagent_OServer )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ c_Message_Oagent_OServer ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ c_Message_Oagent_OServer ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__Server_0) ).
thf(907,plain,
( ( c_Event_OinitState @ c_Message_Oagent_OServer )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ c_Message_Oagent_OServer ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ c_Message_Oagent_OServer ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(347,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth_1) ).
thf(1300,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(505,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ c_Event_Obad @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__spies__bad__privateKey_0) ).
thf(1637,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ c_Event_Obad @ tc_Message_Oagent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[505]) ).
thf(396,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oimage @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ D @ E )
= ( c_Set_Oinsert @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
thf(1404,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oimage @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ D @ E )
= ( c_Set_Oinsert @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).
thf(460,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OFst_0) ).
thf(1543,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[460]) ).
thf(37,axiom,
! [B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ B @ ( tc_fun @ A @ tc_bool ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
thf(613,plain,
! [B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ A @ tc_bool ) ) @ B @ ( tc_fun @ A @ tc_bool ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(339,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ A @ B ) @ C @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_OFake_0) ).
thf(1284,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ A @ B ) @ C @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(234,axiom,
! [A: $i] :
( ( c_Message_Oparts @ ( c_Message_Oparts @ A ) )
= ( c_Message_Oparts @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
thf(1052,plain,
! [A: $i] :
( ( c_Message_Oparts @ ( c_Message_Oparts @ A ) )
= ( c_Message_Oparts @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(149,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).
thf(864,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(406,axiom,
! [B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Nonce_0) ).
thf(1427,plain,
! [B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[406]) ).
thf(381,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ( C = B )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ C @ A @ D ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
thf(1372,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ( C = B )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ C @ A @ D ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(154,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ C ) @ D @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_ONonce @ E ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ G ) @ C ) ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( A = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ D @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS3_0) ).
thf(876,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ A @ B @ C ) @ D @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_ONonce @ E ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ F @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ E ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ G ) @ C ) ) ) ) ) @ ( c_List_Oset @ D @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( A = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ D @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(147,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__analz__insert_0) ).
thf(859,plain,
! [C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(207,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
thf(991,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(275,axiom,
! [A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Event_OinitState @ A ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__in__initState_0) ).
thf(1141,plain,
! [A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Event_OinitState @ A ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(457,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) )
!= ( hAPP @ ( c_Public_OpublicKey @ C ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__neq__publicKey_0) ).
thf(1536,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) )
!= ( hAPP @ ( c_Public_OpublicKey @ C ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[457]) ).
thf(403,axiom,
! [A: $i] : ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oparts @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
thf(1421,plain,
! [A: $i] : ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oparts @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).
thf(43,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ A ) @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__mono_0) ).
thf(627,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ A ) @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(294,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ( A = D )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ D @ B @ C ) @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
thf(1180,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ( A = D )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ D @ B @ C ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(14,axiom,
class_Lattices_Oupper__semilattice @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
thf(556,plain,
class_Lattices_Oupper__semilattice @ tc_nat,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(179,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Set_Oinsert @ C @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__sing__imp__Un_0) ).
thf(931,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Set_Oinsert @ C @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(284,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ A ) @ B )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ C ) @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__neq__privateKey_0) ).
thf(1157,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ A ) @ B )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ C ) @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(201,axiom,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OAgent @ A )
!= ( c_Message_Omsg_ONonce @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I10_J_0) ).
thf(976,plain,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OAgent @ A )
!= ( c_Message_Omsg_ONonce @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(513,axiom,
! [A: $i] :
~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__emptyE_0) ).
thf(1654,plain,
! [A: $i] :
~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[513]) ).
thf(269,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) )
| ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
thf(1126,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ C ) )
| ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(297,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ C ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ B ) @ D @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__image__eq_0) ).
thf(1189,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ C ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ B ) @ D @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(216,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_OMPair @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I49_J_0) ).
thf(1010,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OCrypt @ A @ B )
!= ( c_Message_Omsg_OMPair @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(260,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_OkeysFor @ B ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ C ) @ B @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
thf(1108,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_OkeysFor @ B ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ C ) @ B @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(511,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ C ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I8_J_0) ).
thf(1649,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ C ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ D @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[511]) ).
thf(249,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_3) ).
thf(1084,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(141,axiom,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__notin__image__shrK_0) ).
thf(844,plain,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(420,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert_0) ).
thf(1453,plain,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[420]) ).
thf(483,axiom,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OAgent_0) ).
thf(1590,plain,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[483]) ).
thf(359,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ C @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__trans_0) ).
thf(1326,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ C @ ( c_Message_Osynth @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(325,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_1) ).
thf(1253,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(195,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth_0) ).
thf(963,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(97,axiom,
! [B: $i,A: $i] : ( c_lessequals @ A @ A @ ( tc_fun @ B @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
thf(748,plain,
! [B: $i,A: $i] : ( c_lessequals @ A @ A @ ( tc_fun @ B @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(506,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__analzD_0) ).
thf(1639,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[506]) ).
thf(432,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ D @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ E ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ G ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ H ) @ ( c_Message_Omsg_OMPair @ A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ I ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ J ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_1) ).
thf(1481,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ D @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ E ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ G ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ H ) @ ( c_Message_Omsg_OMPair @ A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ I ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ J ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[432]) ).
thf(46,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ B @ A ) @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_1) ).
thf(632,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ B @ A ) @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(321,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
thf(1244,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(450,axiom,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Event_Oknows @ A @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__in__knows_0) ).
thf(1523,plain,
! [B: $i,A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Event_Oknows @ A @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[450]) ).
thf(115,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ A ) @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_0) ).
thf(786,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ D @ A ) @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(113,axiom,
! [B: $i,A: $i] :
( ( A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) )
| ~ ( c_lessequals @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ ( tc_fun @ B @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_0) ).
thf(781,plain,
! [B: $i,A: $i] :
( ( A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) )
| ~ ( c_lessequals @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ ( tc_fun @ B @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(194,axiom,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ B ) @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__notin__image__publicKey_0) ).
thf(961,plain,
! [C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ B ) @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(128,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
thf(813,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ A ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(387,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ D ) )
| ~ ( hBOOL @ ( c_in @ A @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_0) ).
thf(1385,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ D ) )
| ~ ( hBOOL @ ( c_in @ A @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).
thf(239,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ A @ C @ B ) @ ( hAPP @ c_Message_Omsg_OKey @ A ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ D @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ E @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ E @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ E ) @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ D ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Omsg_OAgent @ E ) ) ) ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_secrecy__lemma_0) ).
thf(1062,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ A @ C @ B ) @ ( hAPP @ c_Message_Omsg_OKey @ A ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ D @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ E @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ E @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ E ) @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ D ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Omsg_OAgent @ E ) ) ) ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(443,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ C @ B @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__cut_0) ).
thf(1508,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ C @ B @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[443]) ).
thf(528,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Message_Oanalz @ A )
!= ( c_Message_Oanalz @ B ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ C @ A @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ C @ B @ tc_Message_Omsg ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__cong_0) ).
thf(1689,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Message_Oanalz @ A )
!= ( c_Message_Oanalz @ B ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ C @ A @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ C @ B @ tc_Message_Omsg ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[528]) ).
thf(19,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ ( tc_fun @ C @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
thf(568,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ ( tc_fun @ C @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(169,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ C @ B @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Message_Osynth @ ( c_Message_Oanalz @ D ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_0) ).
thf(914,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ C @ B @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ C @ ( c_Message_Osynth @ ( c_Message_Oanalz @ D ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(63,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C )
= ( c_Set_Oinsert @ B @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).
thf(667,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C )
= ( c_Set_Oinsert @ B @ ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(413,axiom,
! [A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ A ) @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Message_OsymKeys @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_1) ).
thf(1440,plain,
! [A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ A ) @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Message_OsymKeys @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[413]) ).
thf(446,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ A ) @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ C @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__image__eq_2) ).
thf(1513,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ A ) @ C @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ C @ tc_Message_Oagent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[446]) ).
thf(71,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_List_Olist_OCons @ A @ B @ C )
!= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
thf(684,plain,
! [C: $i,B: $i,A: $i] :
( ( c_List_Olist_OCons @ A @ B @ C )
!= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(4,negated_conjecture,
hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(536,plain,
hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(231,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_1) ).
thf(1045,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(492,axiom,
( ( c_Event_OinitState @ c_Message_Oagent_OSpy )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Public_OshrK @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__Spy_0) ).
thf(1607,plain,
( ( c_Event_OinitState @ c_Message_Oagent_OSpy )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Public_OshrK @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[492]) ).
thf(105,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ B @ A ) @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
thf(763,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ B @ A ) @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(415,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).
thf(1444,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ B @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ C @ A ) @ ( c_Message_Osynth @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[415]) ).
thf(414,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insertI_0) ).
thf(1442,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[414]) ).
thf(495,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ C ) @ D @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).
thf(1614,plain,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ C ) @ D @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[495]) ).
thf(121,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
!= C )
| ( c_lessequals @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
thf(800,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
!= C )
| ( c_lessequals @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(264,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).
thf(1116,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(477,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ C @ D ) @ B @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).
thf(1578,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ C @ D ) @ B @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[477]) ).
thf(524,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Agent_0) ).
thf(1678,plain,
! [B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[524]) ).
thf(136,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_ONotes @ A @ B )
!= ( c_Event_Oevent_OGets @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).
thf(833,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_ONotes @ A @ B )
!= ( c_Event_Oevent_OGets @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(188,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
thf(950,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ A @ C ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(130,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_OGets @ A @ B )
!= ( c_Event_Oevent_ONotes @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I8_J_0) ).
thf(818,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Event_Oevent_OGets @ A @ B )
!= ( c_Event_Oevent_ONotes @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(145,axiom,
( ( c_Message_Oanalz @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__empty_0) ).
thf(854,plain,
( ( c_Message_Oanalz @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(522,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ C @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ E ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ F ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_0) ).
thf(1673,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( c_in @ A @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ C @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ E ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ F ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[522]) ).
thf(33,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ D )
= ( c_Set_Oinsert @ B @ ( c_Set_Oinsert @ A @ C @ D ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
thf(603,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ D )
= ( c_Set_Oinsert @ B @ ( c_Set_Oinsert @ A @ C @ D ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(211,axiom,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ A @ B @ C ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
thf(999,plain,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( c_in @ A @ ( c_Set_Oinsert @ A @ B @ C ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(40,axiom,
! [B: $i,A: $i] :
( ~ ( class_Orderings_Otop @ A )
| ( c_lessequals @ B @ ( c_Orderings_Otop__class_Otop @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__greatest_0) ).
thf(620,plain,
! [B: $i,A: $i] :
( ~ ( class_Orderings_Otop @ A )
| ( c_lessequals @ B @ ( c_Orderings_Otop__class_Otop @ A ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(391,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ E )
= ( c_Set_Oimage @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I56_J_0) ).
thf(1395,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ A @ B ) @ ( c_Set_Oimage @ A @ C @ D @ E ) @ E )
= ( c_Set_Oimage @ A @ ( c_Set_Oinsert @ B @ C @ D ) @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).
thf(500,axiom,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OHash @ A )
!= ( c_Message_Omsg_OAgent @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I15_J_0) ).
thf(1625,plain,
! [B: $i,A: $i] :
( ( c_Message_Omsg_OHash @ A )
!= ( c_Message_Omsg_OAgent @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[500]) ).
thf(323,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ C ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ B ) @ D @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__image__eq_0) ).
thf(1248,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ C ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ B ) @ D @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(117,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Osimps_I1_J_0) ).
thf(790,plain,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(171,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ D @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Set_Oinsert @ D @ B @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut_0) ).
thf(918,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ D @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Set_Oinsert @ D @ B @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(376,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ D @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ ( c_Message_Oanalz @ D ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_1) ).
thf(1363,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ D @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Message_Osynth @ ( c_Message_Oanalz @ D ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(438,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( A = C )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ C @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__freshK_0) ).
thf(1495,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ( A = C )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ C ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ C @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[438]) ).
thf(124,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ D @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
thf(807,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ D @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(363,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ B @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ E ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ G ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ I ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ J ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
thf(1335,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ B @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ E ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ G ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ A ) @ ( c_Message_Omsg_OMPair @ H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ I ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ J ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(469,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_OSays @ A @ B @ C )
!= ( c_Event_Oevent_OSays @ D @ E @ F ) )
| ( B = E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
thf(1561,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_OSays @ A @ B @ C )
!= ( c_Event_Oevent_OSays @ D @ E @ F ) )
| ( B = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[469]) ).
thf(428,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ ( c_Message_Omsg_OMPair @ A @ B ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ ( c_Message_Omsg_OMPair @ A @ B ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__synth__analz_1) ).
thf(1473,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ ( c_Message_Omsg_OMPair @ A @ B ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OHash @ ( c_Message_Omsg_OMPair @ A @ B ) ) @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ C ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[428]) ).
thf(1,negated_conjecture,
~ ( hBOOL @ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(532,plain,
~ ( hBOOL @ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(287,axiom,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) @ c_Message_OsymKeys @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__symKeys__pubK_0) ).
thf(1165,plain,
! [B: $i,A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) @ c_Message_OsymKeys @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(177,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Hash_0) ).
thf(928,plain,
! [B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OHash @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(236,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ C ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ C @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__subset__Un_0) ).
thf(1056,plain,
! [C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ C ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ C @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(62,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ D @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
thf(664,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A ) @ D @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ D @ A ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(341,axiom,
( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ v_x )
= ( c_in @ v_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ t_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__empty__eq_0) ).
thf(1288,plain,
( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ v_x )
= ( c_in @ v_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(300,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).
thf(1197,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(138,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ( hBOOL @ ( hAPP @ C @ B ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ A @ ( tc_fun @ D @ tc_bool ) ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1E_0) ).
thf(839,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ( hBOOL @ ( hAPP @ C @ B ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ A @ ( tc_fun @ D @ tc_bool ) ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(88,axiom,
! [B: $i,A: $i] : ( c_lessequals @ A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ B @ tc_bool ) ) @ ( tc_fun @ B @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
thf(728,plain,
! [B: $i,A: $i] : ( c_lessequals @ A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ B @ tc_bool ) ) @ ( tc_fun @ B @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(318,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ C ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Notes_0) ).
thf(1236,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ A @ B ) @ C @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ C ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(371,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).
thf(1352,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(270,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ D @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ G ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ H ) @ ( c_Message_Omsg_OMPair @ I @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ J ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
thf(1129,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( c_in @ C @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ D @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ G ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ H ) @ ( c_Message_Omsg_OMPair @ I @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ F ) @ J ) ) ) ) ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(22,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
thf(575,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Olattice @ A )
| ( c_lessequals @ B @ ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ A ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(455,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_1) ).
thf(1532,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[455]) ).
thf(53,axiom,
! [B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ ( tc_fun @ B @ tc_bool ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
thf(644,plain,
! [B: $i,A: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ ( tc_fun @ B @ tc_bool ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(373,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_OinitState @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ B @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ B @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ B @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ B @ A @ C ) @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( B = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ B @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).
thf(1357,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Event_OinitState @ B ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ B @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ B @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ B @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ B @ A @ C ) @ A ) @ ( c_List_Oset @ C @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( B = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Event_Oknows @ B @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).
thf(86,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ D @ A @ C ) @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).
thf(723,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ D @ A @ C ) @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(144,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_OMPair @ C @ D ) )
| ( A = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_0) ).
thf(850,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Message_Omsg_OMPair @ A @ B )
!= ( c_Message_Omsg_OMPair @ C @ D ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(409,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__MPair_0) ).
thf(1431,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ C @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[409]) ).
thf(152,axiom,
! [A: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).
thf(871,plain,
! [A: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(266,axiom,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ A ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__mono_0) ).
thf(1120,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ A ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ B ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ A @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(35,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_ONotes @ A @ B )
!= ( c_Event_Oevent_ONotes @ C @ D ) )
| ( B = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_1) ).
thf(607,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Event_Oevent_ONotes @ A @ B )
!= ( c_Event_Oevent_ONotes @ C @ D ) )
| ( B = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(479,axiom,
! [A: $i] : ( c_lessequals @ A @ ( c_Message_Oparts @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
thf(1582,plain,
! [A: $i] : ( c_lessequals @ A @ ( c_Message_Oparts @ A ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[479]) ).
thf(219,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ B ) )
| ~ ( c_lessequals @ C @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).
thf(1019,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ B ) )
| ~ ( c_lessequals @ C @ B @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ C ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(442,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OAgent @ A )
!= ( c_Message_Omsg_OCrypt @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I18_J_0) ).
thf(1505,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_Omsg_OAgent @ A )
!= ( c_Message_Omsg_OCrypt @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[442]) ).
thf(393,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
thf(1399,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ C @ A ) @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).
thf(491,axiom,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Set_Oinsert @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__subset_0) ).
thf(1606,plain,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Set_Oinsert @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[491]) ).
thf(122,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C )
!= ( c_Set_Oinsert @ D @ ( c_Set_Oinsert @ E @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) )
| ( A = E )
| ( B = E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
thf(803,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ ( c_Set_Oinsert @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C )
!= ( c_Set_Oinsert @ D @ ( c_Set_Oinsert @ E @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) @ C ) )
| ( A = E )
| ( B = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(356,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ C @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ A @ F ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Oops__parts__spies_0) ).
thf(1320,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ C @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ A @ F ) ) ) ) ) @ ( c_List_Oset @ B @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(378,axiom,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Agent_0) ).
thf(1367,plain,
! [B: $i,A: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ A ) @ B @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(181,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_0) ).
thf(935,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ B @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ A ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ B @ tc_nat @ tc_Message_Omsg ) @ C @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(174,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( hBOOL @ ( c_in @ A @ D @ C ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__mp_0) ).
thf(923,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ B @ C ) )
| ~ ( hBOOL @ ( c_in @ A @ D @ C ) )
| ~ ( c_lessequals @ D @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__commute_0) ).
thf(543,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ A )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ B @ C @ A )
= ( c_Lattices_Oupper__semilattice__class_Osup @ C @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(50,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ A @ ( tc_fun @ C @ tc_bool ) ) @ B @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
thf(639,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ A @ ( tc_fun @ C @ tc_bool ) ) @ B @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(67,axiom,
class_Orderings_Obot @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
thf(676,plain,
class_Orderings_Obot @ tc_nat,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(418,axiom,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__empty_0) ).
thf(1449,plain,
! [C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( c_in @ B @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ C @ tc_bool ) ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[418]) ).
thf(81,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_List_Olist_OCons @ A @ B @ C )
!= ( c_List_Olist_OCons @ D @ E @ C ) )
| ( A = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
thf(708,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_List_Olist_OCons @ A @ B @ C )
!= ( c_List_Olist_OCons @ D @ E @ C ) )
| ( A = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(156,axiom,
! [A: $i] :
( ( c_Message_Oagent_OFriend @ A )
!= c_Message_Oagent_OSpy ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I6_J_0) ).
thf(882,plain,
! [A: $i] :
( ( c_Message_Oagent_OFriend @ A )
!= c_Message_Oagent_OSpy ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(424,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_List_Oset @ B @ C ) @ C ) )
| ( A = D )
| ~ ( hBOOL @ ( c_in @ A @ ( c_List_Oset @ ( c_List_Olist_OCons @ D @ B @ C ) @ C ) @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__ConsD_0) ).
thf(1463,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( c_in @ A @ ( c_List_Oset @ B @ C ) @ C ) )
| ( A = D )
| ~ ( hBOOL @ ( c_in @ A @ ( c_List_Oset @ ( c_List_Olist_OCons @ D @ B @ C ) @ C ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[424]) ).
thf(59,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ E @ ( tc_fun @ C @ tc_bool ) ) @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ B @ E @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ D @ ( tc_fun @ C @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).
thf(659,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ A @ B @ ( tc_fun @ C @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ D @ E @ ( tc_fun @ C @ tc_bool ) ) @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ B @ E @ ( tc_fun @ C @ tc_bool ) )
| ~ ( c_lessequals @ A @ D @ ( tc_fun @ C @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(470,axiom,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Set_Oinsert @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert_0) ).
thf(1565,plain,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Set_Oinsert @ A @ ( c_Message_Oanalz @ B ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ A @ B @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[470]) ).
thf(436,axiom,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) )
!= ( hAPP @ c_Public_OshrK @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__neq__priK_0) ).
thf(1490,plain,
! [C: $i,B: $i,A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ A ) @ B ) )
!= ( hAPP @ c_Public_OshrK @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[436]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B )
!= ( c_Set_Oinsert @ C @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B ) )
| ( A = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
thf(560,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Set_Oinsert @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B )
!= ( c_Set_Oinsert @ C @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ B @ tc_bool ) ) @ B ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(29,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ D @ A @ C @ E ) @ ( c_Set_Oimage @ D @ B @ C @ E ) @ ( tc_fun @ E @ tc_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
thf(592,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_fun @ C @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ D @ A @ C @ E ) @ ( c_Set_Oimage @ D @ B @ C @ E ) @ ( tc_fun @ E @ tc_bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(426,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_1) ).
thf(1468,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ B @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[426]) ).
thf(402,axiom,
! [B: $i,A: $i] :
( ( ( c_Message_Omsg_OAgent @ A )
!= ( c_Message_Omsg_OAgent @ B ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I1_J_0) ).
thf(1417,plain,
! [B: $i,A: $i] :
( ( ( c_Message_Omsg_OAgent @ A )
!= ( c_Message_Omsg_OAgent @ B ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).
thf(199,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_OinvKey @ A ) @ ( c_Message_OkeysFor @ C ) @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Crypt_0) ).
thf(972,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_OinvKey @ A ) @ ( c_Message_OkeysFor @ C ) @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(1892,plain,
$false,
inference(e,[status(thm)],[1322,1036,1411,629,1024,1369,846,909,893,1315,941,777,1295,1549,1686,1586,1501,809,1559,1105,1554,1110,1211,1005,1290,1068,994,1401,1422,1205,1591,1437,1486,582,762,1596,1406,1142,1269,1692,677,1041,861,1078,1671,550,797,715,1260,945,1354,1310,533,1222,930,898,841,885,1645,1601,1475,1265,829,1095,1391,1576,1628,1409,570,1430,719,1330,1279,1455,1132,1660,1298,1511,702,751,1545,902,638,1379,1087,1147,1568,1641,1100,1232,1479,1609,1347,1572,1013,770,1415,1632,646,1136,1151,1383,806,1183,821,905,1302,756,1664,1377,692,734,866,1526,1351,1345,1433,1600,1242,1521,981,766,1169,687,1215,634,1447,956,1622,774,1651,1074,920,661,925,1199,810,1338,1470,534,1067,546,793,1153,761,1047,798,1274,1387,957,1343,952,1519,1580,1666,815,729,1238,1570,1174,1217,598,788,1619,916,566,1032,1365,625,879,1555,1178,1457,1027,1281,1392,1106,1210,1656,682,1195,1573,974,1360,742,874,615,1328,1375,1064,1227,725,1498,1118,989,1397,697,1089,1234,1541,650,948,1534,1017,1160,1082,1361,933,669,1424,1214,1446,1207,1493,1683,1612,970,1155,547,622,1297,1451,1192,911,721,1429,1246,605,1324,1114,647,1263,1530,1539,1060,1050,1333,1318,1202,1695,921,657,1286,1466,674,1515,1616,1185,586,926,1086,938,765,1054,1026,1167,662,888,1680,1103,1273,856,745,689,601,965,1510,1251,618,1219,824,584,732,843,772,1620,743,579,1403,1124,1007,694,826,577,1256,1488,641,1669,572,1312,611,1635,1058,1092,1224,672,1139,1503,1271,1371,1258,704,1675,540,979,900,784,1524,736,1349,1603,1144,1043,1122,1307,1589,996,890,811,1080,631,758,535,1630,594,1162,1149,1460,1022,1293,1381,1112,1557,552,848,700,1029,895,1171,983,1594,959,636,1176,986,563,1477,653,1528,868,780,1643,1000,1435,1034,1583,1662,1304,589,680,1277,1134,749,1145,754,553,1413,1076,531,944,939,1340,968,823,836,1551,1547,1598,1070,705,1566,1647,954,739,1267,1098,993,712,557,1003,1230,1484,1038,1317,1658,643,1220,907,1300,1637,1404,1543,613,1284,1052,864,1427,1372,876,859,991,1141,1536,1421,627,1180,556,931,1157,976,1654,1126,1189,1010,1108,1649,1084,844,1453,1590,1326,1253,963,748,1639,1481,632,1244,1523,786,781,961,813,1385,1062,1508,1689,568,914,667,1440,1513,684,536,1045,1607,763,1444,1442,1614,800,1116,1578,1678,833,950,818,854,1673,603,999,620,1395,1625,1248,790,918,1363,1495,807,1335,1561,1473,532,1165,928,1056,664,1288,1197,839,728,1236,1352,1129,575,1532,644,1357,723,850,1431,871,1120,607,1582,1019,1505,1399,1606,803,1320,1367,935,923,543,639,676,1449,708,882,1463,659,1565,1490,560,592,1468,1417,972]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV765-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n007.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 19 01:59:39 EDT 2023
% 0.16/0.37 % CPUTime :
% 1.01/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.68/1.12 % [INFO] Parsing done (230ms).
% 1.68/1.13 % [INFO] Running in sequential loop mode.
% 2.41/1.33 % [INFO] eprover registered as external prover.
% 2.41/1.33 % [INFO] cvc4 registered as external prover.
% 2.41/1.34 % [INFO] Scanning for conjecture ...
% 2.92/1.48 % [INFO] Found a conjecture and 539 axioms. Running axiom selection ...
% 3.21/1.61 % [INFO] Axiom selection finished. Selected 524 axioms (removed 15 axioms).
% 3.88/1.77 % [INFO] Problem is propositional (TPTP CNF).
% 4.22/1.78 % [INFO] Type checking passed.
% 4.23/1.78 % [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 ...
% 14.99/4.04 % External prover 'e' found a proof!
% 14.99/4.04 % [INFO] Killing All external provers ...
% 14.99/4.04 % Time passed: 3513ms (effective reasoning time: 2909ms)
% 14.99/4.04 % Solved by 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)>
% 14.99/4.05 % Axioms used in derivation (524): clsarity_nat__HOL_Oord, cls_Key__image__eq_0, cls_Crypt__notin__initState_0, cls_NS4__implies__NS3_0, cls_synth_OHash_0, cls_shrK__in__initState_0, cls_subset__insert_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_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_parts__image__Key_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_Un__commute_0, cls_ns__sharedp_ONS3_0, cls_analz__cong_0, cls_agent_Osimps_I6_J_0, cls_UnCI_1, cls_initState__Friend_0, cls_insert__absorb_0, 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_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_le__sup__iff_0, cls_set__rev__mp_0, cls_knows__subset__knows__Cons_0, cls_analz__idem_0, cls_insert__subset_0, cls_msg_Osimps_I3_J_0, cls_ns__sharedp_ONS2_0, cls_analz__image__freshK__lemma_4, cls_ns__sharedp_OOops_0, cls_subset__insert__iff_2, cls_publicKey__into__used_0, cls_Key__synth__eq_1, 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_analz__insert__Hash_0, 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_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_pushes_I11_J_0, cls_invKey__image__eq_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_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_Un__UNIV__right_0, cls_Un__absorb2_0, cls_parts__emptyE_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__insert__MPair_0, cls_symKeys__invKey__iff_1, 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_Spy__spies__bad__privateKey_0, cls_privateKey__notin__image__shrK_0, cls_singleton__iff_1, 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_A__trusts__NS4_0, cls_pushes_I8_J_0, cls_parts__insert_0, cls_msg_Osimps_I14_J_0, cls_synth__analz__insert__eq_0, cls_analz__conj__parts_0, clsarity_bool__Lattices_Oupper__semilattice, cls_msg_Osimps_I43_J_0, cls_keysFor__insert__MPair_0, cls_ns__shared_ONS1_0, cls_doubleton__eq__iff_2, 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_parts__insert__Agent_0, cls_synth__trans_0, cls_Un__insert__left_0, cls_Says__imp__analz__Spy_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_knows__Gets_0, 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_analz_OFst_0, cls_set__eq__subset_2, cls_parts__insert__subset__Un_0, cls_Un__mono_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_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_image__empty_0, cls_subset__trans_0, cls_agent_Osimps_I3_J_0, cls_analz__image__freshK__lemma_3, cls_insert__is__Un_0, 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_empty__not__insert_0, cls_knows__Spy__Says_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_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, cls_msg_Osimps_I42_J_0, cls_Spy__not__see__encrypted__key_0, cls_Crypt__synth__eq_0, cls_spies__pubK_0, cls_invKey__K_0, cls_Spy__in__bad_0, cls_singletonE_0, cls_insert__Key__image_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_analz__spies__pubK_0, cls_bot1E_0, cls_Fake__analz__eq_0, cls_parts__insert__Hash_0, cls_event_Osimps_I1_J_1, 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_le__supI2_0, cls_synth__analz__insert__eq_1, cls_analz__image__freshK__lemma_0, cls_Un__assoc_0, cls_A__trusts__NS4__lemma_0, cls_publicKey__neq__privateKey_0, 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_parts__analz_0, cls_event_Osimps_I2_J_0, cls_neq__shrK_0, cls_usedI_0, cls_parts__insert__Key_0, cls_analz__analzD_0, cls_invKey__eq_0, clsarity_bool__Lattices_Obounded__lattice, clsarity_bool__Lattices_Olattice, cls_keysFor__insert__Agent_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_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_subset__singletonD_0, cls_Nonce__synth__eq_0, cls_event_Osimps_I8_J_0, cls_priEK__noteq__shrK_0, cls_insert__absorb2_0, cls_analz__mono_0, cls_analz_OSnd_0, cls_Crypt__imp__keysFor_0, cls_doubleton__eq__iff_1, cls_analz__mono__contra_I1_J_0, cls_analz__synth_0, cls_event_Osimps_I1_J_2, 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, cls_Hash__synth_0, cls_MPair__synth_0, cls_msg_Osimps_I17_J_0, cls_inf__sup__aci_I5_J_0, cls_singleton__inject_0, cls_privateKey__image__eq_0, cls_initState__into__used_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_unique__session__keys_1, cls_Fake__parts__sing_0, cls_knows__Spy__subset__knows__Spy__Notes_0, cls_analz__image__Key_0, cls_B__trusts__NS3_0, cls_Un__least_0, cls_ns__shared_ONS2_0, cls_sup1CI_0, cls_shrK__neq__pubK_0, cls_not__symKeys__pubK_0, cls_sup__ge2_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_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_used__parts__subset__parts_0, cls_insert__commute_0, cls_insert__iff_2, cls_keysFor__insert__Key_0, cls_gen__analz__insert__eq_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_event_Osimps_I5_J_0, cls_sup__absorb1_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, 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_keysFor__insert__Crypt_0, cls_ns__sharedp_ONS1_0, cls_msg_Osimps_I33_J_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, 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
% 14.99/4.05 % No. of inferences in proof: 1061
% 14.99/4.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3513 ms resp. 2909 ms w/o parsing
% 15.49/4.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.49/4.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------