%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV800-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:00:38 AM UTC 2026
% Result : Unsatisfiable 195.18s 71.58s
% Output : Refutation 185.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 551
% Syntax : Number of formulae : 2312 ( 997 unt; 0 typ; 16 def)
% Number of atoms : 5228 (2371 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 29689 (2926 ~;2184 |; 0 &;24579 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<)
% Number of symbols : 91 ( 88 usr; 23 con; 0-4 aty)
% Number of variables : 5792 ( 0 ^;5760 !; 16 ?;5792 :)
% ( 0 !>; 0 ?*; 0 @-; 16 @+)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(v_A_decl,type,
v_A: $i ).
thf(c_Event_Obad_decl,type,
c_Event_Obad: $i ).
thf(tc_Message_Oagent_decl,type,
tc_Message_Oagent: $i ).
thf(v_B_decl,type,
v_B: $i ).
thf(v_evsf_decl,type,
v_evsf: $i ).
thf(c_NS__Shared__Mirabelle_Ons__shared_decl,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
thf(tc_List_Olist_decl,type,
tc_List_Olist: $i > $i ).
thf(tc_Event_Oevent_decl,type,
tc_Event_Oevent: $i ).
thf(v_Xa_decl,type,
v_Xa: $i ).
thf(c_Message_Osynth_decl,type,
c_Message_Osynth: $i > $i ).
thf(c_Message_Oanalz_decl,type,
c_Message_Oanalz: $i > $i ).
thf(c_Event_Oknows_decl,type,
c_Event_Oknows: $i > $i > $i ).
thf(c_Message_Oagent_OSpy_decl,type,
c_Message_Oagent_OSpy: $i ).
thf(tc_Message_Omsg_decl,type,
tc_Message_Omsg: $i ).
thf(hAPP_decl,type,
hAPP: $i > $i > $i ).
thf(c_Message_Omsg_OKey_decl,type,
c_Message_Omsg_OKey: $i ).
thf(v_K_decl,type,
v_K: $i ).
thf(c_Message_Omsg_OCrypt_decl,type,
c_Message_Omsg_OCrypt: $i > $i > $i ).
thf(c_Public_OshrK_decl,type,
c_Public_OshrK: $i ).
thf(c_Message_Omsg_OMPair_decl,type,
c_Message_Omsg_OMPair: $i > $i > $i ).
thf(c_Message_Omsg_ONonce_decl,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(v_NA_decl,type,
v_NA: $i ).
thf(c_Message_Omsg_OAgent_decl,type,
c_Message_Omsg_OAgent: $i > $i ).
thf(v_X_decl,type,
v_X: $i ).
thf(c_Message_Oparts_decl,type,
c_Message_Oparts: $i > $i ).
thf(c_Set_Oinsert_decl,type,
c_Set_Oinsert: $i > $i > $i > $i ).
thf(v_NB_decl,type,
v_NB: $i ).
thf(c_Event_Oevent_OSays_decl,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(c_List_Oset_decl,type,
c_List_Oset: $i > $i > $i ).
thf(v_Ba_decl,type,
v_Ba: $i ).
thf(class_Lattices_Oupper__semilattice_decl,type,
class_Lattices_Oupper__semilattice: $i > $o ).
thf(c_Lattices_Oupper__semilattice__class_Osup_decl,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i > $i > $i ).
thf(class_Orderings_Obot_decl,type,
class_Orderings_Obot: $i > $o ).
thf(tc_fun_decl,type,
tc_fun: $i > $i > $i ).
thf(tc_bool_decl,type,
tc_bool: $i ).
thf(class_Lattices_Olattice_decl,type,
class_Lattices_Olattice: $i > $o ).
thf(class_Lattices_Obounded__lattice_decl,type,
class_Lattices_Obounded__lattice: $i > $o ).
thf(tc_nat_decl,type,
tc_nat: $i ).
thf(class_Orderings_Otop_decl,type,
class_Orderings_Otop: $i > $o ).
thf(c_Orderings_Otop__class_Otop_decl,type,
c_Orderings_Otop__class_Otop: $i > $i ).
thf(c_Orderings_Obot__class_Obot_decl,type,
c_Orderings_Obot__class_Obot: $i > $i ).
thf(c_lessequals_decl,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_Set_Oimage_decl,type,
c_Set_Oimage: $i > $i > $i > $i > $i ).
thf(c_Event_Oevent_OGets_decl,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(c_Message_OinvKey_decl,type,
c_Message_OinvKey: $i > $i ).
thf(c_Event_Oevent_ONotes_decl,type,
c_Event_Oevent_ONotes: $i > $i > $i ).
thf(class_HOL_Oord_decl,type,
class_HOL_Oord: $i > $o ).
thf(c_List_Olist_OCons_decl,type,
c_List_Olist_OCons: $i > $i > $i > $i ).
thf(c_Message_Omsg_OHash_decl,type,
c_Message_Omsg_OHash: $i > $i ).
thf(c_Message_OHPair_decl,type,
c_Message_OHPair: $i > $i > $i ).
thf(class_Orderings_Olinorder_decl,type,
class_Orderings_Olinorder: $i > $o ).
thf(hBOOL_decl,type,
hBOOL: $i > $o ).
thf(c_Message_Oagent_OServer_decl,type,
c_Message_Oagent_OServer: $i ).
thf(c_Message_OsymKeys_decl,type,
c_Message_OsymKeys: $i ).
thf(c_Event_Oused_decl,type,
c_Event_Oused: $i > $i ).
thf(c_Public_OpublicKey_decl,type,
c_Public_OpublicKey: $i > $i ).
thf(c_Message_OkeysFor_decl,type,
c_Message_OkeysFor: $i > $i ).
thf(c_List_Olists_decl,type,
c_List_Olists: $i > $i > $i ).
thf(c_NS__Shared__Mirabelle_Ons__sharedp_decl,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
thf(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1_decl,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1: $i > $i > $i ).
thf(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2_decl,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2: $i > $i > $i ).
thf(c_Message_Osko__Message__Xparts__insert__eq__I__1__1_decl,type,
c_Message_Osko__Message__Xparts__insert__eq__I__1__1: $i > $i > $i ).
thf(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1_decl,type,
c_Message_Osko__Message__Xanalz__insert__eq__I__1__1: $i > $i > $i ).
thf(c_Event_OinitState_decl,type,
c_Event_OinitState: $i > $i ).
thf(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1_decl,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_decl,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: $i > $i > $i > $i ).
thf(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1_decl,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: $i > $i > $i > $i > $i ).
thf(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1_decl,type,
v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: $i > $i > $i > $i ).
thf(c_NS__Shared__Mirabelle_OIssues_decl,type,
c_NS__Shared__Mirabelle_OIssues: $i > $i > $i > $i > $o ).
thf(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1_decl,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: $i > $i > $i > $i ).
thf(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1_decl,type,
v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1: $i > $i > $i > $i ).
thf(sk1_decl,type,
sk1: $i > $i > $i ).
thf(sk2_decl,type,
sk2: $i > $i ).
thf(sk3_decl,type,
sk3: $i > $i > $i ).
thf(sk4_decl,type,
sk4: $i > $i > $i ).
thf(sk5_decl,type,
sk5: $i > $i > $i > $i ).
thf(sk6_decl,type,
sk6: $i > $i > $i ).
thf(sk7_decl,type,
sk7: $i > $i > $i > $i ).
thf(sk8_decl,type,
sk8: $i > $i > $i ).
thf(sk9_decl,type,
sk9: $i > $i ).
thf(sk10_decl,type,
sk10: $i > $i > $i ).
thf(sk11_decl,type,
sk11: $i > $i > $i ).
thf(sk12_decl,type,
sk12: $i > $i > $i ).
thf(sk14_decl,type,
sk14: $i > $i > $i ).
thf(sk15_decl,type,
sk15: $i > $i ).
thf(sk16_decl,type,
sk16: $i > $i > $i ).
thf(sk17_decl,type,
sk17: $i > $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Event_Oevent_OGets ) @ ( B @ A ) )
= C ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ c_Message_OinvKey @ A )
= B ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Event_Oevent_ONotes ) @ ( B @ A ) )
= C ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Event_Oevent_ONotes ) @ ( C @ A ) )
= B ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: $i > $i > $i > $i] :
! [B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ c_List_Olist_OCons ) ) @ ( D @ ( C @ A ) ) )
= B ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Event_Oevent_OGets ) @ ( C @ A ) )
= B ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i > $i > $i > $i] :
! [B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ c_List_Olist_OCons ) ) @ ( D @ ( B @ A ) ) )
= C ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_OHPair ) @ ( C @ A ) )
= B ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ c_Message_Omsg_OHash @ A )
= B ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_OHPair ) @ ( B @ A ) )
= C ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_Omsg_OMPair ) @ ( C @ A ) )
= B ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_Omsg_OMPair ) @ ( B @ A ) )
= C ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_Omsg_OCrypt ) @ ( C @ A ) )
= B ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ c_Message_Omsg_ONonce @ A )
= B ) ) ) ).
thf(sk16_def,definition,
( sk16
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_Omsg_OCrypt ) @ ( B @ A ) )
= C ) ) ) ).
thf(sk17_def,definition,
( sk17
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ c_Message_Omsg_OAgent @ A )
= B ) ) ) ).
thf(50,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
thf(645,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(528,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I40_J_0) ).
thf(1716,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[528]) ).
thf(1717,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(polarity_switch,[status(thm)],[1716]) ).
thf(1718,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(lifteq,[status(thm)],[1717]) ).
thf(387,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__used_0) ).
thf(1411,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).
thf(45,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
thf(629,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(20,axiom,
tc_bool @ class_Lattices_Oupper__semilattice,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
thf(575,plain,
tc_bool @ class_Lattices_Oupper__semilattice,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(12,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__commute_0) ).
thf(556,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(557,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[556]) ).
thf(558,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ class_Lattices_Oupper__semilattice )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(lifteq,[status(thm)],[557]) ).
thf(2022,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ~ $true
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[575,558]) ).
thf(2023,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(simp,[status(thm)],[2022]) ).
thf(2024,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(pattern_uni,[status(thm)],[2023:[bind(A,$thf( tc_bool ))]]) ).
thf(2031,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(simp,[status(thm)],[2024]) ).
thf(99,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_0) ).
thf(763,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(764,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(cnf,[status(esa)],[763]) ).
thf(765,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(lifteq,[status(thm)],[764]) ).
thf(235,axiom,
! [A: $i] : ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__shrK_0) ).
thf(1074,plain,
! [A: $i] : ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(184,axiom,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
thf(959,plain,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(960,plain,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[959]) ).
thf(4756,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1074,960]) ).
thf(4757,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) ) ),
inference(simp,[status(thm)],[4756]) ).
thf(4778,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_nat != C )
| ( ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= c_Message_OsymKeys )
| ( ( A @ ( c_Public_OshrK @ hAPP ) )
!= B ) ),
inference(simp,[status(thm)],[4757]) ).
thf(4790,plain,
( ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= c_Message_OsymKeys ),
inference(simp,[status(thm)],[4778]) ).
thf(39644,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A != c_Message_OsymKeys )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,4790]) ).
thf(39645,plain,
! [A: $i] :
( ( A != c_Message_OsymKeys )
| ~ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[39644:[bind(A,$thf( A )),bind(B,$thf( tc_nat ))]]) ).
thf(41646,plain,
~ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Message_OsymKeys @ c_lessequals ) ) ),
inference(simp,[status(thm)],[39645]) ).
thf(332,axiom,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__empty_0) ).
thf(1297,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(1298,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(lifteq,[status(thm)],[1297]) ).
thf(6,negated_conjecture,
tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_X @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( v_B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(539,plain,
tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_X @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( v_B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(207,axiom,
! [A: $i] :
~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( A @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__emptyE_0) ).
thf(1009,plain,
! [A: $i] :
~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(1010,plain,
! [A: $i] :
~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( A @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[1009]) ).
thf(1916,plain,
! [A: $i] :
~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ),
inference(rewrite,[status(thm)],[1010,1298]) ).
thf(1950,plain,
! [A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_X @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( v_B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[539,1916]) ).
thf(1951,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_X @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( v_B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ) ),
inference(simp,[status(thm)],[1950]) ).
thf(1962,plain,
! [A: $i] :
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( v_X @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( v_B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) )
!= A ) ),
inference(simp,[status(thm)],[1951]) ).
thf(1968,plain,
( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[1962]) ).
thf(1992,plain,
( ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(paramod_ordered,[status(thm)],[1298,1968]) ).
thf(1993,plain,
( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[1992]) ).
thf(1995,plain,
( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[1993]) ).
thf(316,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq__shrK_0) ).
thf(1259,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(3992,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1259,1916]) ).
thf(3993,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_in ) ) ) ),
inference(simp,[status(thm)],[3992]) ).
thf(4014,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( B @ c_Event_Oused )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= C ) ),
inference(simp,[status(thm)],[3993]) ).
thf(4022,plain,
! [A: $i] :
( ( A @ c_Event_Oused )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[4014]) ).
thf(153,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) )
| ( tc_nat @ ( B @ c_Message_OkeysFor @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
thf(893,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) )
| ( tc_nat @ ( B @ c_Message_OkeysFor @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(175,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( D @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_OOops_0) ).
thf(941,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( D @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(450,axiom,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).
thf(1548,plain,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[450]) ).
thf(1549,plain,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[1548]) ).
thf(514,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I41_J_0) ).
thf(1686,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[514]) ).
thf(466,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
thf(1586,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[466]) ).
thf(428,axiom,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I31_J_0) ).
thf(1499,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[428]) ).
thf(1500,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(polarity_switch,[status(thm)],[1499]) ).
thf(1501,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(lifteq,[status(thm)],[1500]) ).
thf(213,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_OHPair ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__synth__analz_2) ).
thf(1024,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_OHPair ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(414,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__partsD_0) ).
thf(1469,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[414]) ).
thf(276,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__eq__HPair_1) ).
thf(1168,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(219,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_1) ).
thf(1038,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(1039,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
inference(cnf,[status(esa)],[1038]) ).
thf(1040,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
inference(lifteq,[status(thm)],[1039]) ).
thf(1041,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_Omsg_OMPair ) @ ( B @ A ) )
= C ),
inference(detectInverse,[status(thm)],[1040]) ).
thf(1042,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) @ ( A @ sk12 ) )
= B ),
inference(cnf,[status(esa)],[1041]) ).
thf(7890,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) @ ( A @ sk12 ) )
= B ),
inference(lifteq,[status(thm)],[1042]) ).
thf(368,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
thf(1370,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(403,axiom,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__pubK_0) ).
thf(1449,plain,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).
thf(12067,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( E @ ( tc_bool @ ( E @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( D @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1449,960]) ).
thf(12068,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( E @ ( tc_bool @ ( E @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( D @ c_in ) ) ) ),
inference(simp,[status(thm)],[12067]) ).
thf(12073,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg != E )
| ( ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
!= ( tc_bool @ ( E @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= D ) ),
inference(simp,[status(thm)],[12068]) ).
thf(12088,plain,
! [A: $i] :
( ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[12073]) ).
thf(40217,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,12088]) ).
thf(40218,plain,
! [B: $i,A: $i] :
( ( A
!= ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[40217:[bind(A,$thf( A )),bind(B,$thf( tc_Message_Omsg ))]]) ).
thf(42012,plain,
! [A: $i] :
~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(simp,[status(thm)],[40218]) ).
thf(47936,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1370,42012]) ).
thf(47937,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[47936]) ).
thf(48096,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[47937]) ).
thf(48163,plain,
! [A: $i] :
( ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[48096]) ).
thf(458,axiom,
! [A: $i] :
( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
= ( A @ c_Message_Oanalz ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__idem_0) ).
thf(1565,plain,
! [A: $i] :
( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
= ( A @ c_Message_Oanalz ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[458]) ).
thf(1566,plain,
! [A: $i] :
( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
= ( A @ c_Message_Oanalz ) ),
inference(lifteq,[status(thm)],[1565]) ).
thf(4,negated_conjecture,
tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(545,plain,
tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1789,plain,
( ( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,1549]) ).
thf(1790,plain,
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[1789]) ).
thf(1797,plain,
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(simp,[status(thm)],[1790]) ).
thf(2068,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oanalz @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(paramod_ordered,[status(thm)],[1566,1797]) ).
thf(2072,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oanalz @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(simp,[status(thm)],[2068]) ).
thf(411,axiom,
! [A: $i] : ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__in__initState_0) ).
thf(1464,plain,
! [A: $i] : ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[411]) ).
thf(4184,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1464,1916]) ).
thf(4185,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) ) ),
inference(simp,[status(thm)],[4184]) ).
thf(4206,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( A @ c_Event_OinitState )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= B ) ),
inference(simp,[status(thm)],[4185]) ).
thf(4215,plain,
! [A: $i] :
( ( A @ c_Event_OinitState )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[4206]) ).
thf(37874,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( C @ c_Event_OinitState ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,4215]) ).
thf(37875,plain,
! [B: $i,A: $i] :
( ( A
!= ( B @ c_Event_OinitState ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[37874:[bind(A,$thf( A )),bind(B,$thf( tc_Message_Omsg ))]]) ).
thf(41816,plain,
! [A: $i] :
~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Event_OinitState @ c_lessequals ) ) ),
inference(simp,[status(thm)],[37875]) ).
thf(46554,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_OinitState @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1370,41816]) ).
thf(46555,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_OinitState @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[46554]) ).
thf(46704,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ c_Event_OinitState ) ) ),
inference(simp,[status(thm)],[46555]) ).
thf(46773,plain,
! [A: $i] :
( ( A @ c_Event_OinitState @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[46704]) ).
thf(498,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
thf(1652,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[498]) ).
thf(3,negated_conjecture,
tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(543,plain,
tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1900,plain,
! [A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,1010]) ).
thf(1901,plain,
! [A: $i] :
( ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(simp,[status(thm)],[1900]) ).
thf(1906,plain,
! [A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( v_evsf != A ) ),
inference(simp,[status(thm)],[1901]) ).
thf(1911,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts )
!= c_NS__Shared__Mirabelle_Ons__shared ) ),
inference(simp,[status(thm)],[1906]) ).
thf(1926,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared ) ),
inference(rewrite,[status(thm)],[1911,1298]) ).
thf(39959,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ( A != c_NS__Shared__Mirabelle_Ons__shared )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,1926]) ).
thf(39960,plain,
! [A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ( A != c_NS__Shared__Mirabelle_Ons__shared )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[39959:[bind(A,$thf( A )),bind(B,$thf( tc_Message_Omsg ))]]) ).
thf(41843,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[39960]) ).
thf(45177,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1652,41843]) ).
thf(45178,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45177]) ).
thf(45314,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A != c_NS__Shared__Mirabelle_Ons__shared )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45178]) ).
thf(45319,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( c_NS__Shared__Mirabelle_Ons__shared @ c_Message_Osynth ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45314]) ).
thf(455,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono_0) ).
thf(1559,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[455]) ).
thf(249,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( D @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__S__message__form_0) ).
thf(1105,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( D @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(305,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_priK__neq__shrK_0) ).
thf(1235,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(1236,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) ),
inference(polarity_switch,[status(thm)],[1235]) ).
thf(1237,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) ),
inference(lifteq,[status(thm)],[1236]) ).
thf(132,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__neq__HPair_0) ).
thf(846,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(44,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
thf(626,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(627,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(cnf,[status(esa)],[626]) ).
thf(628,plain,
! [B: $i,A: $i] :
( ~ ( A @ class_Lattices_Obounded__lattice )
| ( ( A @ ( B @ ( A @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) ) ),
inference(lifteq,[status(thm)],[627]) ).
thf(216,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_OHPair ) )
= ( B @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__eq__MPair_2) ).
thf(1031,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_OHPair ) )
= ( B @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(340,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Gets_0) ).
thf(1315,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(25,axiom,
tc_bool @ class_Lattices_Obounded__lattice,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
thf(586,plain,
tc_bool @ class_Lattices_Obounded__lattice,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(5346,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Obounded__lattice )
!= ( A @ class_Lattices_Obounded__lattice ) )
| ~ $true
| ( ( A @ ( B @ ( A @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) ) ),
inference(paramod_ordered,[status(thm)],[586,628]) ).
thf(5347,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Obounded__lattice )
!= ( A @ class_Lattices_Obounded__lattice ) )
| ( ( A @ ( B @ ( A @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[5346]) ).
thf(5348,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ c_Orderings_Otop__class_Otop ) ),
inference(pattern_uni,[status(thm)],[5347:[bind(A,$thf( tc_bool ))]]) ).
thf(5426,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ c_Orderings_Otop__class_Otop ) ),
inference(simp,[status(thm)],[5348]) ).
thf(8783,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ ( tc_bool @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( ( tc_bool @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ c_Orderings_Otop__class_Otop ) ) ),
inference(paramod_ordered,[status(thm)],[2031,5426]) ).
thf(8784,plain,
! [A: $i] :
( ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ c_Orderings_Otop__class_Otop ) ),
inference(pattern_uni,[status(thm)],[8783:[bind(A,$thf( A )),bind(B,$thf( tc_bool @ c_Orderings_Otop__class_Otop )),bind(C,$thf( A ))]]) ).
thf(440,axiom,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__synth_0) ).
thf(1527,plain,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[440]) ).
thf(1528,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Osynth @ c_Message_Oparts ) ),
inference(lifteq,[status(thm)],[1527]) ).
thf(12127,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts )
!= ( A @ c_Message_Oparts ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Osynth @ c_Message_Oparts ) ) ),
inference(paramod_ordered,[status(thm)],[1298,1528]) ).
thf(12128,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oparts ) ),
inference(pattern_uni,[status(thm)],[12127:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ))]]) ).
thf(46,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
thf(631,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(632,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ),
inference(lifteq,[status(thm)],[631]) ).
thf(12731,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth ) ),
inference(rewrite,[status(thm)],[12128,632]) ).
thf(103,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OHash ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I5_J_0) ).
thf(775,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OHash ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(776,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OHash ) ) ),
inference(cnf,[status(esa)],[775]) ).
thf(777,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OHash ) ) ),
inference(lifteq,[status(thm)],[776]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
thf(553,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(554,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[553]) ).
thf(555,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ class_Lattices_Oupper__semilattice )
| ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(lifteq,[status(thm)],[554]) ).
thf(60,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
thf(664,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(665,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(cnf,[status(esa)],[664]) ).
thf(666,plain,
! [B: $i,A: $i] :
( ~ ( A @ class_Lattices_Obounded__lattice )
| ( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(lifteq,[status(thm)],[665]) ).
thf(248,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__neq__pubK_0) ).
thf(1102,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(1103,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
inference(polarity_switch,[status(thm)],[1102]) ).
thf(1104,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
inference(lifteq,[status(thm)],[1103]) ).
thf(4876,plain,
! [C: $i,B: $i,A: $i] :
( ( B != C )
| ( ( A @ c_Public_OpublicKey )
!= c_Public_OshrK ) ),
inference(simp,[status(thm)],[1104]) ).
thf(4877,plain,
! [A: $i] :
( ( A @ c_Public_OpublicKey )
!= c_Public_OshrK ),
inference(simp,[status(thm)],[4876]) ).
thf(343,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OAgent_0) ).
thf(1319,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(2263,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1319,1549]) ).
thf(2264,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) ),
inference(simp,[status(thm)],[2263]) ).
thf(2280,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( B @ c_Message_Osynth )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_OAgent )
!= c_Message_Oagent_OServer ) ),
inference(simp,[status(thm)],[2264]) ).
thf(453,axiom,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__Key__image__eq_0) ).
thf(1554,plain,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[453]) ).
thf(46588,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_OinitState @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1652,41816]) ).
thf(46589,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_OinitState @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[46588]) ).
thf(46715,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ c_Event_OinitState ) ) ),
inference(simp,[status(thm)],[46589]) ).
thf(46785,plain,
! [A: $i] :
( ( A @ c_Event_OinitState @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[46715]) ).
thf(293,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__notin__image__shrK_0) ).
thf(1211,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(482,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
thf(1618,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[482]) ).
thf(37735,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( C @ c_Event_Oused ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,4022]) ).
thf(37736,plain,
! [B: $i,A: $i] :
( ( A
!= ( B @ c_Event_Oused ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[37735:[bind(A,$thf( A )),bind(B,$thf( tc_Message_Omsg ))]]) ).
thf(41712,plain,
! [A: $i] :
~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Event_Oused @ c_lessequals ) ) ),
inference(simp,[status(thm)],[37736]) ).
thf(44803,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_Oused @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1618,41712]) ).
thf(44804,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_Oused @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[44803]) ).
thf(44982,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ c_Event_Oused ) ) ),
inference(simp,[status(thm)],[44804]) ).
thf(45031,plain,
! [A: $i] :
( ( A @ c_Event_Oused @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[44982]) ).
thf(68,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
thf(683,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(84,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
thf(730,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(14,axiom,
tc_bool @ class_Orderings_Obot,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
thf(561,plain,
tc_bool @ class_Orderings_Obot,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(38,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Obot ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).
thf(610,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(611,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Obot ) ),
inference(cnf,[status(esa)],[610]) ).
thf(4496,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Orderings_Obot )
!= ( A @ class_Orderings_Obot ) )
| ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[561,611]) ).
thf(4497,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Orderings_Obot )
!= ( A @ class_Orderings_Obot ) )
| ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[4496]) ).
thf(4498,plain,
! [A: $i] : ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[4497:[bind(A,$thf( tc_bool ))]]) ).
thf(4515,plain,
! [A: $i] : ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(simp,[status(thm)],[4498]) ).
thf(435,axiom,
tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).
thf(1512,plain,
tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[435]) ).
thf(147,axiom,
! [B: $i,A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__symKeys__priK_0) ).
thf(879,plain,
! [B: $i,A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(880,plain,
! [B: $i,A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[879]) ).
thf(2485,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,880]) ).
thf(2486,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) ),
inference(simp,[status(thm)],[2485]) ).
thf(2495,plain,
! [B: $i,A: $i] :
( ( tc_nat != tc_Message_Oagent )
| ( c_Message_OsymKeys != c_Event_Obad )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey )
!= c_Message_Oagent_OSpy ) ),
inference(simp,[status(thm)],[2486]) ).
thf(200,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__Un__subset1_0) ).
thf(994,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(381,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I39_J_0) ).
thf(1399,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(1400,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(polarity_switch,[status(thm)],[1399]) ).
thf(1401,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(lifteq,[status(thm)],[1400]) ).
thf(459,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Agent__neq__HPair_0) ).
thf(1567,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[459]) ).
thf(1568,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(polarity_switch,[status(thm)],[1567]) ).
thf(1569,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(lifteq,[status(thm)],[1568]) ).
thf(89,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
thf(740,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(741,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[740]) ).
thf(448,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).
thf(1544,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[448]) ).
thf(442,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I18_J_0) ).
thf(1531,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[442]) ).
thf(1532,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(polarity_switch,[status(thm)],[1531]) ).
thf(1533,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(lifteq,[status(thm)],[1532]) ).
thf(41,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__empty_0) ).
thf(617,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(618,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(lifteq,[status(thm)],[617]) ).
thf(124,axiom,
! [B: $i,A: $i] : ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
thf(827,plain,
! [B: $i,A: $i] : ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(223,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__notin__image__publicKey_0) ).
thf(1049,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(1050,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[1049]) ).
thf(10584,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( E @ ( D @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[827,1050]) ).
thf(10585,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( E @ ( D @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[10584]) ).
thf(10613,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B != tc_nat )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_nat @ ( tc_Message_Oagent @ ( E @ ( D @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) ) )
| ( A
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ) ),
inference(simp,[status(thm)],[10585]) ).
thf(10620,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( A @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(simp,[status(thm)],[10613]) ).
thf(10622,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_nat @ ( tc_Message_Oagent @ ( E @ ( D @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(paramod_ordered,[status(thm)],[618,10620]) ).
thf(10623,plain,
( ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(pattern_uni,[status(thm)],[10622:[bind(A,$thf( F @ c_Public_OpublicKey )),bind(B,$thf( tc_Message_Oagent )),bind(C,$thf( tc_nat )),bind(D,$thf( F )),bind(E,$thf( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot ))]]) ).
thf(38233,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,10623]) ).
thf(38234,plain,
! [A: $i] :
( ( A
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop ) )
| ~ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[38233:[bind(A,$thf( A )),bind(B,$thf( tc_nat ))]]) ).
thf(42056,plain,
~ ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ),
inference(simp,[status(thm)],[38234]) ).
thf(139,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( C @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__MPair_0) ).
thf(861,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( C @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(72,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
thf(694,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(695,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ) ),
inference(cnf,[status(esa)],[694]) ).
thf(696,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ) ),
inference(lifteq,[status(thm)],[695]) ).
thf(24434,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) ) )
| ~ $true
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[1618,696]) ).
thf(24435,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(simp,[status(thm)],[24434]) ).
thf(24436,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oparts ) ),
inference(pattern_uni,[status(thm)],[24435:[bind(A,$thf( E )),bind(B,$thf( E @ c_Message_Oparts )),bind(C,$thf( E )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(24772,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[24436]) ).
thf(272,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( C @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__image__eq_0) ).
thf(1158,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( B @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( C @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(23,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Obounded__lattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
thf(581,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Obounded__lattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(582,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Obounded__lattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
inference(cnf,[status(esa)],[581]) ).
thf(98,axiom,
tc_bool @ class_HOL_Oord,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
thf(762,plain,
tc_bool @ class_HOL_Oord,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(26,axiom,
tc_nat @ class_Orderings_Obot,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
thf(587,plain,
tc_nat @ class_Orderings_Obot,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Orderings_Obot )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Obot ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
thf(559,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Orderings_Obot )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(560,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Orderings_Obot )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Obot ) ),
inference(cnf,[status(esa)],[559]) ).
thf(2103,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_Orderings_Obot )
!= ( B @ class_Orderings_Obot ) )
| ~ $true
| ( B @ ( A @ tc_fun ) @ class_Orderings_Obot ) ),
inference(paramod_ordered,[status(thm)],[587,560]) ).
thf(2104,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_Orderings_Obot )
!= ( B @ class_Orderings_Obot ) )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Obot ) ),
inference(simp,[status(thm)],[2103]) ).
thf(2105,plain,
! [A: $i] : ( tc_nat @ ( A @ tc_fun ) @ class_Orderings_Obot ),
inference(pattern_uni,[status(thm)],[2104:[bind(A,$thf( A )),bind(B,$thf( tc_nat ))]]) ).
thf(2114,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_Orderings_Obot )
!= ( C @ class_Orderings_Obot ) )
| ~ $true
| ( C @ ( B @ tc_fun ) @ class_Orderings_Obot ) ),
inference(paramod_ordered,[status(thm)],[2105,560]) ).
thf(2115,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_Orderings_Obot )
!= ( C @ class_Orderings_Obot ) )
| ( C @ ( B @ tc_fun ) @ class_Orderings_Obot ) ),
inference(simp,[status(thm)],[2114]) ).
thf(2116,plain,
! [B: $i,A: $i] : ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot ),
inference(pattern_uni,[status(thm)],[2115:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( tc_nat @ ( D @ tc_fun ) ))]]) ).
thf(2117,plain,
! [B: $i,A: $i] : ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot ),
inference(simp,[status(thm)],[2116]) ).
thf(471,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insertI_0) ).
thf(1596,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[471]) ).
thf(384,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) )
= ( E @ ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oimage ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I56_J_0) ).
thf(1406,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) )
= ( E @ ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oimage ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(516,axiom,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Osynth )
= ( A @ c_Message_Osynth ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__idem_0) ).
thf(1691,plain,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Osynth )
= ( A @ c_Message_Osynth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[516]) ).
thf(1692,plain,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Osynth )
= ( A @ c_Message_Osynth ) ),
inference(lifteq,[status(thm)],[1691]) ).
thf(5,negated_conjecture,
~ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(536,plain,
~ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(552,plain,
~ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[536]) ).
thf(1793,plain,
( ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,552]) ).
thf(1794,plain,
( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[1793]) ).
thf(1799,plain,
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[1794]) ).
thf(1801,plain,
( ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[1799]) ).
thf(2094,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(paramod_ordered,[status(thm)],[1692,1801]) ).
thf(2097,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( A @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[2094]) ).
thf(2099,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[2097]) ).
thf(468,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff_0) ).
thf(1591,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[468]) ).
thf(49,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
thf(643,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(644,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[643]) ).
thf(6392,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[575,644]) ).
thf(6393,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[6392]) ).
thf(6394,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_bool @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[6393:[bind(A,$thf( tc_bool ))]]) ).
thf(6426,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_bool @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(simp,[status(thm)],[6394]) ).
thf(266,axiom,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__image__eq_1) ).
thf(1142,plain,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(320,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( H @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OCrypt ) @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).
thf(1269,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( H @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OCrypt ) @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(146,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I46_J_0) ).
thf(876,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(877,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(polarity_switch,[status(thm)],[876]) ).
thf(878,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(lifteq,[status(thm)],[877]) ).
thf(40,axiom,
! [C: $i,B: $i,A: $i] :
( ( B
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
thf(614,plain,
! [C: $i,B: $i,A: $i] :
( ( B
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(45397,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( C @ c_Event_Oused @ c_Message_Oparts ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,45031]) ).
thf(45398,plain,
! [B: $i,A: $i] :
( ( A
!= ( B @ c_Event_Oused @ c_Message_Oparts ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[45397:[bind(A,$thf( A )),bind(B,$thf( tc_Message_Omsg ))]]) ).
thf(45436,plain,
! [A: $i] :
~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Event_Oused @ c_Message_Oparts @ c_lessequals ) ) ),
inference(simp,[status(thm)],[45398]) ).
thf(65,axiom,
! [A: $i] :
( ( A @ c_Message_OinvKey @ c_Message_OinvKey )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey_0) ).
thf(677,plain,
! [A: $i] :
( ( A @ c_Message_OinvKey @ c_Message_OinvKey )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(336,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__notin__image__shrK_0) ).
thf(1305,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(32,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
thf(595,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(596,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[595]) ).
thf(597,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ class_Lattices_Oupper__semilattice )
| ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(lifteq,[status(thm)],[596]) ).
thf(9257,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Obounded__lattice )
!= ( A @ class_Lattices_Obounded__lattice ) )
| ~ $true
| ( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[586,666]) ).
thf(9258,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Obounded__lattice )
!= ( A @ class_Lattices_Obounded__lattice ) )
| ( ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(simp,[status(thm)],[9257]) ).
thf(9259,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(pattern_uni,[status(thm)],[9258:[bind(A,$thf( tc_bool ))]]) ).
thf(9364,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(simp,[status(thm)],[9259]) ).
thf(507,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
thf(1671,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[507]) ).
thf(477,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I37_J_0) ).
thf(1606,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[477]) ).
thf(1607,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
inference(polarity_switch,[status(thm)],[1606]) ).
thf(1608,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
inference(lifteq,[status(thm)],[1607]) ).
thf(29,axiom,
tc_nat @ class_Lattices_Oupper__semilattice,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
thf(592,plain,
tc_nat @ class_Lattices_Oupper__semilattice,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(6398,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[592,644]) ).
thf(6399,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[6398]) ).
thf(6400,plain,
! [B: $i,A: $i] : ( tc_nat @ ( tc_nat @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[6399:[bind(A,$thf( tc_nat ))]]) ).
thf(6401,plain,
! [B: $i,A: $i] : ( tc_nat @ ( tc_nat @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(simp,[status(thm)],[6400]) ).
thf(264,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lemma2_0) ).
thf(1137,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(338,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I19_J_0) ).
thf(1310,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(3980,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1259,1549]) ).
thf(3981,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) ),
inference(simp,[status(thm)],[3980]) ).
thf(4011,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( B @ c_Event_Oused )
!= c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= c_Message_Oagent_OServer ) ),
inference(simp,[status(thm)],[3981]) ).
thf(113,axiom,
tc_nat @ class_HOL_Oord,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
thf(802,plain,
tc_nat @ class_HOL_Oord,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(53,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_HOL_Oord )
| ( B @ ( A @ tc_fun ) @ class_HOL_Oord ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
thf(652,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_HOL_Oord )
| ( B @ ( A @ tc_fun ) @ class_HOL_Oord ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(653,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_HOL_Oord )
| ( B @ ( A @ tc_fun ) @ class_HOL_Oord ) ),
inference(cnf,[status(esa)],[652]) ).
thf(7542,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_HOL_Oord )
!= ( B @ class_HOL_Oord ) )
| ~ $true
| ( B @ ( A @ tc_fun ) @ class_HOL_Oord ) ),
inference(paramod_ordered,[status(thm)],[802,653]) ).
thf(7543,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_HOL_Oord )
!= ( B @ class_HOL_Oord ) )
| ( B @ ( A @ tc_fun ) @ class_HOL_Oord ) ),
inference(simp,[status(thm)],[7542]) ).
thf(7544,plain,
! [A: $i] : ( tc_nat @ ( A @ tc_fun ) @ class_HOL_Oord ),
inference(pattern_uni,[status(thm)],[7543:[bind(A,$thf( A )),bind(B,$thf( tc_nat ))]]) ).
thf(7553,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_HOL_Oord )
!= ( C @ class_HOL_Oord ) )
| ~ $true
| ( C @ ( B @ tc_fun ) @ class_HOL_Oord ) ),
inference(paramod_ordered,[status(thm)],[7544,653]) ).
thf(7554,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_HOL_Oord )
!= ( C @ class_HOL_Oord ) )
| ( C @ ( B @ tc_fun ) @ class_HOL_Oord ) ),
inference(simp,[status(thm)],[7553]) ).
thf(7555,plain,
! [B: $i,A: $i] : ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord ),
inference(pattern_uni,[status(thm)],[7554:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( tc_nat @ ( D @ tc_fun ) ))]]) ).
thf(7556,plain,
! [B: $i,A: $i] : ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord ),
inference(simp,[status(thm)],[7555]) ).
thf(433,axiom,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__into__used_0) ).
thf(1509,plain,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[433]) ).
thf(1,negated_conjecture,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(538,plain,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(546,plain,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[538]) ).
thf(7794,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1509,546]) ).
thf(7795,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[7794]) ).
thf(7824,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( C @ c_Event_Oused )
!= c_Event_Obad )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_A ) ),
inference(simp,[status(thm)],[7795]) ).
thf(378,axiom,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__notin__initState_0) ).
thf(1393,plain,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(1394,plain,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[1393]) ).
thf(2312,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,1394]) ).
thf(2313,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) ),
inference(simp,[status(thm)],[2312]) ).
thf(2316,plain,
! [B: $i,A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ( ( B @ c_Event_OinitState @ c_Message_Oparts )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( ( A @ c_Message_Omsg_ONonce )
!= v_evsf ) ),
inference(simp,[status(thm)],[2313]) ).
thf(323,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ( A
= ( E @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__S__message__form_1) ).
thf(1275,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ( A
= ( E @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(347,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
thf(1327,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(317,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_ONonce ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I3_J_0) ).
thf(1260,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_ONonce ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(2456,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot )
!= ( D @ class_Orderings_Obot ) )
| ~ $true
| ( D @ ( C @ tc_fun ) @ class_Orderings_Obot ) ),
inference(paramod_ordered,[status(thm)],[2117,560]) ).
thf(2457,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot )
!= ( D @ class_Orderings_Obot ) )
| ( D @ ( C @ tc_fun ) @ class_Orderings_Obot ) ),
inference(simp,[status(thm)],[2456]) ).
thf(2458,plain,
! [C: $i,B: $i,A: $i] : ( tc_nat @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot ),
inference(pattern_uni,[status(thm)],[2457:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tc_nat @ ( G @ tc_fun ) @ ( E @ tc_fun ) ))]]) ).
thf(2459,plain,
! [C: $i,B: $i,A: $i] : ( tc_nat @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot ),
inference(simp,[status(thm)],[2458]) ).
thf(177,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Set_Oinsert ) ) @ ( A @ ( B @ c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq__I_1) ).
thf(945,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Set_Oinsert ) ) @ ( A @ ( B @ c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(229,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).
thf(1063,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(427,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
thf(1497,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[427]) ).
thf(522,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__synth__analz_0) ).
thf(1705,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[522]) ).
thf(238,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
thf(1078,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(2,negated_conjecture,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(541,plain,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(549,plain,
~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[541]) ).
thf(1780,plain,
( ( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,549]) ).
thf(1781,plain,
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[1780]) ).
thf(1785,plain,
( ( tc_Message_Oagent != tc_Message_Oagent )
| ( c_Event_Obad != c_Event_Obad )
| ( c_Message_Oagent_OSpy != v_B ) ),
inference(simp,[status(thm)],[1781]) ).
thf(1788,plain,
c_Message_Oagent_OSpy != v_B,
inference(simp,[status(thm)],[1785]) ).
thf(1555,plain,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[1554]) ).
thf(5011,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( D @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[827,1555]) ).
thf(5012,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( D @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) ) ),
inference(simp,[status(thm)],[5011]) ).
thf(5034,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B != tc_Message_Omsg )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_Message_Omsg @ ( tc_nat @ ( D @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) )
| ( A
!= ( C @ c_Message_Omsg_ONonce ) ) ),
inference(simp,[status(thm)],[5012]) ).
thf(5047,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(simp,[status(thm)],[5034]) ).
thf(5089,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_Message_Omsg @ ( tc_nat @ ( D @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(paramod_ordered,[status(thm)],[618,5047]) ).
thf(5090,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(pattern_uni,[status(thm)],[5089:[bind(A,$thf( c_Message_Omsg_OKey )),bind(B,$thf( tc_nat )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ))]]) ).
thf(39247,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,5090]) ).
thf(39248,plain,
! [A: $i] :
( ( A
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[39247:[bind(A,$thf( A )),bind(B,$thf( tc_Message_Omsg ))]]) ).
thf(41515,plain,
~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ),
inference(simp,[status(thm)],[39248]) ).
thf(277,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
thf(1171,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(27094,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,546]) ).
thf(27095,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[27094]) ).
thf(27134,plain,
! [C: $i,B: $i,A: $i] :
( ( C != tc_Message_Oagent )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= c_Event_Obad )
| ( A != v_A ) ),
inference(simp,[status(thm)],[27095]) ).
thf(27166,plain,
! [A: $i] :
( ( tc_Message_Oagent @ ( A @ ( v_A @ c_Set_Oinsert ) ) )
!= c_Event_Obad ),
inference(simp,[status(thm)],[27134]) ).
thf(354,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__into__parts_0) ).
thf(1342,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(92,axiom,
tc_nat @ class_Orderings_Olinorder,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
thf(747,plain,
tc_nat @ class_Orderings_Olinorder,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(162,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( C @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( A = C )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__freshK_0) ).
thf(913,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( C @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( A = C )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(360,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ( A = c_Message_Oagent_OServer )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( C @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( E @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS3_0) ).
thf(1354,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ( A = c_Message_Oagent_OServer )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( C @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( E @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(521,axiom,
! [A: $i] :
( ( A @ c_Message_Oparts @ c_Message_Oanalz )
= ( A @ c_Message_Oparts ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__parts_0) ).
thf(1703,plain,
! [A: $i] :
( ( A @ c_Message_Oparts @ c_Message_Oanalz )
= ( A @ c_Message_Oparts ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[521]) ).
thf(1704,plain,
! [A: $i] :
( ( A @ c_Message_Oparts @ c_Message_Oanalz )
= ( A @ c_Message_Oparts ) ),
inference(lifteq,[status(thm)],[1703]) ).
thf(2129,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg @ ( A @ c_Message_Oparts @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[1704,545]) ).
thf(2146,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg @ ( A @ c_Message_Oparts @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[2129]) ).
thf(432,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).
thf(1507,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[432]) ).
thf(299,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I1_J_0) ).
thf(1222,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(170,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_nat @ ( B @ c_Message_OkeysFor @ ( A @ c_Message_OinvKey @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
thf(930,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_nat @ ( B @ c_Message_OkeysFor @ ( A @ c_Message_OinvKey @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(287,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I42_J_0) ).
thf(1196,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(155,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Hash_0) ).
thf(897,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(898,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(lifteq,[status(thm)],[897]) ).
thf(4768,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) )
!= ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,960]) ).
thf(4769,plain,
! [B: $i,A: $i] :
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) )
!= ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ) ),
inference(simp,[status(thm)],[4768]) ).
thf(4780,plain,
! [B: $i,A: $i] :
( ( tc_Message_Oagent != B )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= c_Event_Obad )
| ( c_Message_Oagent_OSpy != A ) ),
inference(simp,[status(thm)],[4769]) ).
thf(4792,plain,
( ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= c_Event_Obad ),
inference(simp,[status(thm)],[4780]) ).
thf(204,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Crypt__if_1) ).
thf(1001,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(105,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= C )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
thf(782,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= C )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(129,axiom,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__empty_0) ).
thf(840,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(841,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(lifteq,[status(thm)],[840]) ).
thf(191,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I10_J_0) ).
thf(973,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(480,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( A = E )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
thf(1613,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( A = E )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[480]) ).
thf(31,axiom,
tc_nat @ class_Lattices_Olattice,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
thf(594,plain,
tc_nat @ class_Lattices_Olattice,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Olattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
thf(590,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Olattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(591,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Olattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(cnf,[status(esa)],[590]) ).
thf(3637,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Olattice )
!= ( B @ class_Lattices_Olattice ) )
| ~ $true
| ( B @ ( A @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(paramod_ordered,[status(thm)],[594,591]) ).
thf(3638,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Olattice )
!= ( B @ class_Lattices_Olattice ) )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(simp,[status(thm)],[3637]) ).
thf(3639,plain,
! [A: $i] : ( tc_nat @ ( A @ tc_fun ) @ class_Lattices_Olattice ),
inference(pattern_uni,[status(thm)],[3638:[bind(A,$thf( A )),bind(B,$thf( tc_nat ))]]) ).
thf(3682,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( C @ class_Lattices_Olattice ) )
| ~ $true
| ( C @ ( B @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(paramod_ordered,[status(thm)],[3639,591]) ).
thf(3683,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( C @ class_Lattices_Olattice ) )
| ( C @ ( B @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(simp,[status(thm)],[3682]) ).
thf(3684,plain,
! [B: $i,A: $i] : ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice ),
inference(pattern_uni,[status(thm)],[3683:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( tc_nat @ ( D @ tc_fun ) ))]]) ).
thf(3699,plain,
! [B: $i,A: $i] : ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice ),
inference(simp,[status(thm)],[3684]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Olattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
thf(579,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Olattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(580,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Lattices_Olattice )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[579]) ).
thf(3933,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( D @ class_Lattices_Olattice ) )
| ~ $true
| ( D @ ( C @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(paramod_ordered,[status(thm)],[3699,580]) ).
thf(3934,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( D @ class_Lattices_Olattice ) )
| ( D @ ( C @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(simp,[status(thm)],[3933]) ).
thf(3935,plain,
! [C: $i,B: $i,A: $i] : ( tc_nat @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ),
inference(pattern_uni,[status(thm)],[3934:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tc_nat @ ( G @ tc_fun ) @ ( E @ tc_fun ) ))]]) ).
thf(3947,plain,
! [C: $i,B: $i,A: $i] : ( tc_nat @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ),
inference(simp,[status(thm)],[3935]) ).
thf(495,axiom,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_Message_Omsg_OMPair ) )
= ( B @ ( A @ c_Message_OHPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__eq__HPair_2) ).
thf(1645,plain,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_Message_Omsg_OMPair ) )
= ( B @ ( A @ c_Message_OHPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[495]) ).
thf(362,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__analz__shrK_1) ).
thf(1359,plain,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(52,axiom,
! [B: $i,A: $i] :
( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Otop ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__greatest_0) ).
thf(650,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(651,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Otop ) ),
inference(cnf,[status(esa)],[650]) ).
thf(27128,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( E @ ( tc_bool @ ( E @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( D @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,960]) ).
thf(27129,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( E @ ( tc_bool @ ( E @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( D @ c_in ) ) ) ),
inference(simp,[status(thm)],[27128]) ).
thf(27143,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C != E )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( E @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A != D ) ),
inference(simp,[status(thm)],[27129]) ).
thf(27155,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[27143]) ).
thf(245,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).
thf(1095,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(474,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_4) ).
thf(1601,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[474]) ).
thf(4490,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_Orderings_Obot )
!= ( A @ class_Orderings_Obot ) )
| ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[587,611]) ).
thf(4491,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_Orderings_Obot )
!= ( A @ class_Orderings_Obot ) )
| ( A @ ( B @ ( A @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[4490]) ).
thf(4492,plain,
! [A: $i] : ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[4491:[bind(A,$thf( tc_nat ))]]) ).
thf(4520,plain,
! [A: $i] : ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(simp,[status(thm)],[4492]) ).
thf(45268,plain,
! [A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4520,41843]) ).
thf(45269,plain,
! [A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45268]) ).
thf(45309,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= tc_nat )
| ( A
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45269]) ).
thf(45379,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45309]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
thf(563,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(564,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(cnf,[status(esa)],[563]) ).
thf(565,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ class_Lattices_Olattice )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(lifteq,[status(thm)],[564]) ).
thf(366,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subsetD_0) ).
thf(1366,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(179,axiom,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__notin__image__Key_0) ).
thf(950,plain,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(951,plain,
! [B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[950]) ).
thf(2815,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,951]) ).
thf(2816,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) ),
inference(simp,[status(thm)],[2815]) ).
thf(2825,plain,
! [B: $i,A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ( ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( ( A @ c_Message_Omsg_OHash )
!= v_evsf ) ),
inference(simp,[status(thm)],[2816]) ).
thf(441,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OMPair_0) ).
thf(1529,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[441]) ).
thf(318,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( E @ ( D @ ( C @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( E @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( D @ ( C @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I12_J_0) ).
thf(1265,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( E @ ( D @ ( C @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( E @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( D @ ( C @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(302,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_OGets ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).
thf(1228,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_OGets ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(314,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ ( A @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( C @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__subset__Un_0) ).
thf(1254,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ ( A @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( C @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(487,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pubK__neq__shrK_0) ).
thf(1628,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[487]) ).
thf(524,axiom,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
thf(1709,plain,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[524]) ).
thf(27110,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,552]) ).
thf(27111,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[27110]) ).
thf(27130,plain,
! [C: $i,B: $i,A: $i] :
( ( C != tc_Message_Omsg )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( A
!= ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) ) ) ),
inference(simp,[status(thm)],[27111]) ).
thf(27162,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( A @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[27130]) ).
thf(3103,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,1555]) ).
thf(3104,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[3103]) ).
thf(3120,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Omsg_ONonce )
!= v_Xa ) ),
inference(simp,[status(thm)],[3104]) ).
thf(3125,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Omsg_ONonce )
!= v_Xa ) ),
inference(simp,[status(thm)],[3120]) ).
thf(339,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__Un_0) ).
thf(1313,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(285,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
thf(1191,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(267,axiom,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__synth_0) ).
thf(1144,plain,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(1145,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Osynth @ c_Message_Oanalz ) ),
inference(lifteq,[status(thm)],[1144]) ).
thf(11188,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
!= ( A @ c_Message_Oanalz ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Osynth @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[841,1145]) ).
thf(11189,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[11188:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ))]]) ).
thf(11511,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth ) ),
inference(rewrite,[status(thm)],[11189,632]) ).
thf(1791,plain,
( ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,546]) ).
thf(1792,plain,
( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[1791]) ).
thf(1798,plain,
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(simp,[status(thm)],[1792]) ).
thf(2085,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(paramod_ordered,[status(thm)],[1692,1798]) ).
thf(2091,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(simp,[status(thm)],[2085]) ).
thf(11577,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( A @ c_Message_Osynth ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(paramod_ordered,[status(thm)],[11511,2091]) ).
thf(11594,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= A )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(simp,[status(thm)],[11577]) ).
thf(11628,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(simp,[status(thm)],[11594]) ).
thf(261,axiom,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OHash ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I38_J_0) ).
thf(1130,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(1131,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(polarity_switch,[status(thm)],[1130]) ).
thf(1132,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(lifteq,[status(thm)],[1131]) ).
thf(7,negated_conjecture,
tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ c_in ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(542,plain,
tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1755,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,549]) ).
thf(1756,plain,
( ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[1755]) ).
thf(1760,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Oagent )
| ( c_NS__Shared__Mirabelle_Ons__shared != c_Event_Obad )
| ( v_evsf != v_B ) ),
inference(simp,[status(thm)],[1756]) ).
thf(684,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[683]) ).
thf(685,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[684]) ).
thf(13274,plain,
! [C: $i,B: $i,A: $i] :
( ( A != c_Message_Oagent_OSpy )
| ( B != v_B )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[685,1788]) ).
thf(13275,plain,
! [B: $i,A: $i] :
( ( A != v_B )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( c_Message_Oagent_OSpy @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[13274:[bind(A,$thf( c_Message_Oagent_OSpy ))]]) ).
thf(21043,plain,
! [A: $i] :
( ~ ( tc_bool @ ( A @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) )
| ~ ( tc_bool @ ( A @ tc_fun ) @ ( c_Message_Oagent_OSpy @ ( v_B @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[13275]) ).
thf(106,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
thf(785,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(345,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_ODecrypt_0) ).
thf(1323,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(42,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( E @ tc_fun ) @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( E @ ( C @ ( A @ ( D @ c_Set_Oimage ) ) ) @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
thf(619,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( E @ tc_fun ) @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( E @ ( C @ ( A @ ( D @ c_Set_Oimage ) ) ) @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(7539,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_HOL_Oord )
!= ( B @ class_HOL_Oord ) )
| ~ $true
| ( B @ ( A @ tc_fun ) @ class_HOL_Oord ) ),
inference(paramod_ordered,[status(thm)],[762,653]) ).
thf(7540,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_HOL_Oord )
!= ( B @ class_HOL_Oord ) )
| ( B @ ( A @ tc_fun ) @ class_HOL_Oord ) ),
inference(simp,[status(thm)],[7539]) ).
thf(7541,plain,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ class_HOL_Oord ),
inference(pattern_uni,[status(thm)],[7540:[bind(A,$thf( A )),bind(B,$thf( tc_bool ))]]) ).
thf(45120,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4515,41843]) ).
thf(45121,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45120]) ).
thf(45284,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= tc_bool )
| ( A
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45121]) ).
thf(45351,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45284]) ).
thf(74,axiom,
! [C: $i,B: $i,A: $i] :
( A
!= ( C @ ( A @ ( B @ c_List_Olist_OCons ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
thf(700,plain,
! [C: $i,B: $i,A: $i] :
( A
!= ( C @ ( A @ ( B @ c_List_Olist_OCons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(701,plain,
! [C: $i,B: $i,A: $i] :
( A
!= ( C @ ( A @ ( B @ c_List_Olist_OCons ) ) ) ),
inference(polarity_switch,[status(thm)],[700]) ).
thf(702,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ c_List_Olist_OCons ) ) )
!= A ),
inference(lifteq,[status(thm)],[701]) ).
thf(120,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ hAPP ) @ hBOOL )
| ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
thf(817,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ hAPP ) @ hBOOL )
| ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(48,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_1) ).
thf(638,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(678,plain,
! [A: $i] :
( ( A @ c_Message_OinvKey @ c_Message_OinvKey )
= A ),
inference(lifteq,[status(thm)],[677]) ).
thf(2487,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,880]) ).
thf(2488,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) ),
inference(simp,[status(thm)],[2487]) ).
thf(2490,plain,
! [B: $i,A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_nat )
| ( c_Message_OsymKeys != c_NS__Shared__Mirabelle_Ons__shared )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey )
!= v_evsf ) ),
inference(simp,[status(thm)],[2488]) ).
thf(2851,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ c_Message_OinvKey @ c_Message_OinvKey )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_nat )
| ( c_Message_OsymKeys != c_NS__Shared__Mirabelle_Ons__shared )
| ( A != v_evsf ) ),
inference(paramod_ordered,[status(thm)],[678,2490]) ).
thf(2854,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( v_evsf @ c_Message_OinvKey ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_nat )
| ( c_Message_OsymKeys != c_NS__Shared__Mirabelle_Ons__shared ) ),
inference(simp,[status(thm)],[2851]) ).
thf(2857,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( v_evsf @ c_Message_OinvKey ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_nat )
| ( c_Message_OsymKeys != c_NS__Shared__Mirabelle_Ons__shared ) ),
inference(simp,[status(thm)],[2854]) ).
thf(148,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ( tc_Message_Omsg @ ( D @ c_Event_Oused @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) )
| ( tc_Event_Oevent @ ( D @ ( C @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS1_0) ).
thf(881,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ( tc_Message_Omsg @ ( D @ c_Event_Oused @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) )
| ( tc_Event_Oevent @ ( D @ ( C @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(7549,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_HOL_Oord )
!= ( C @ class_HOL_Oord ) )
| ~ $true
| ( C @ ( B @ tc_fun ) @ class_HOL_Oord ) ),
inference(paramod_ordered,[status(thm)],[7541,653]) ).
thf(7550,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_HOL_Oord )
!= ( C @ class_HOL_Oord ) )
| ( C @ ( B @ tc_fun ) @ class_HOL_Oord ) ),
inference(simp,[status(thm)],[7549]) ).
thf(7551,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord ),
inference(pattern_uni,[status(thm)],[7550:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( tc_bool @ ( D @ tc_fun ) ))]]) ).
thf(7552,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord ),
inference(simp,[status(thm)],[7551]) ).
thf(7557,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord )
!= ( D @ class_HOL_Oord ) )
| ~ $true
| ( D @ ( C @ tc_fun ) @ class_HOL_Oord ) ),
inference(paramod_ordered,[status(thm)],[7552,653]) ).
thf(7558,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord )
!= ( D @ class_HOL_Oord ) )
| ( D @ ( C @ tc_fun ) @ class_HOL_Oord ) ),
inference(simp,[status(thm)],[7557]) ).
thf(7559,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord ),
inference(pattern_uni,[status(thm)],[7558:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tc_bool @ ( G @ tc_fun ) @ ( E @ tc_fun ) ))]]) ).
thf(7560,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord ),
inference(simp,[status(thm)],[7559]) ).
thf(426,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I36_J_0) ).
thf(1494,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[426]) ).
thf(364,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( C @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).
thf(1362,plain,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( D @ ( C @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(247,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).
thf(1100,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(2807,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,951]) ).
thf(2808,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[2807]) ).
thf(2819,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Omsg_OHash )
!= v_Xa ) ),
inference(simp,[status(thm)],[2808]) ).
thf(2829,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Omsg_OHash )
!= v_Xa ) ),
inference(simp,[status(thm)],[2819]) ).
thf(11516,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( A @ c_Message_Osynth ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(paramod_ordered,[status(thm)],[11511,2099]) ).
thf(11603,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= A )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[11516]) ).
thf(11631,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[11603]) ).
thf(11641,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(rewrite,[status(thm)],[11631,11511]) ).
thf(1795,plain,
( ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,549]) ).
thf(1796,plain,
( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[1795]) ).
thf(1800,plain,
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(simp,[status(thm)],[1796]) ).
thf(2271,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1319,1916]) ).
thf(2272,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_in ) ) ) ),
inference(simp,[status(thm)],[2271]) ).
thf(2282,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( B @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ c_Message_Omsg_OAgent )
!= C ) ),
inference(simp,[status(thm)],[2272]) ).
thf(2288,plain,
! [A: $i] :
( ( A @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[2282]) ).
thf(39885,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( C @ c_Message_Osynth ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,2288]) ).
thf(39886,plain,
! [B: $i,A: $i] :
( ( A
!= ( B @ c_Message_Osynth ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[39885:[bind(A,$thf( A )),bind(B,$thf( tc_Message_Omsg ))]]) ).
thf(41785,plain,
! [A: $i] :
~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Message_Osynth @ c_lessequals ) ) ),
inference(simp,[status(thm)],[39886]) ).
thf(45521,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Message_Osynth @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1618,41785]) ).
thf(45522,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[45521]) ).
thf(45689,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ c_Message_Osynth ) ) ),
inference(simp,[status(thm)],[45522]) ).
thf(45769,plain,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[45689]) ).
thf(143,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ tc_List_Olist @ ( C @ ( B @ c_List_Olists ) @ ( D @ c_in ) ) )
| ~ ( C @ ( C @ ( D @ c_List_Oset ) @ ( A @ c_in ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__lists__conv__set_0) ).
thf(870,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ tc_List_Olist @ ( C @ ( B @ c_List_Olists ) @ ( D @ c_in ) ) )
| ~ ( C @ ( C @ ( D @ c_List_Oset ) @ ( A @ c_in ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(45545,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Message_Osynth @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1370,41785]) ).
thf(45546,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[45545]) ).
thf(45699,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ c_Message_Osynth ) ) ),
inference(simp,[status(thm)],[45546]) ).
thf(45715,plain,
! [A: $i] :
( ( A @ c_Message_Osynth @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[45699]) ).
thf(419,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( C @ ( B @ ( A @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
thf(1479,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( C @ ( B @ ( A @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).
thf(23193,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( B @ tc_fun ) @ ( c_Message_Oagent_OSpy @ ( v_B @ c_lessequals ) ) ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4520,21043]) ).
thf(23194,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( B @ tc_fun ) @ ( c_Message_Oagent_OSpy @ ( v_B @ c_lessequals ) ) ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[23193]) ).
thf(23208,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) )
!= tc_nat )
| ( A != c_Message_Oagent_OSpy )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[23194]) ).
thf(23275,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( tc_bool @ ( A @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[23208]) ).
thf(478,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__synth__Un_0) ).
thf(1609,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[478]) ).
thf(209,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) )
| ( B = c_Message_Oagent_OSpy )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( C @ ( A @ ( B @ c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 ) ) @ ( B @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_OGets ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).
thf(1013,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) )
| ( B = c_Message_Oagent_OSpy )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( C @ ( A @ ( B @ c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 ) ) @ ( B @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_OGets ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(101,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__eq_0) ).
thf(768,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(769,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
inference(cnf,[status(esa)],[768]) ).
thf(770,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
inference(lifteq,[status(thm)],[769]) ).
thf(1101,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[1100]) ).
thf(6090,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,1101]) ).
thf(6091,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) ),
inference(simp,[status(thm)],[6090]) ).
thf(6098,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ( ( C @ c_Event_OinitState @ c_Message_Oparts )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= v_evsf ) ),
inference(simp,[status(thm)],[6091]) ).
thf(493,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
thf(1641,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[493]) ).
thf(304,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I30_J_0) ).
thf(1232,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(415,axiom,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__in__initState_0) ).
thf(1471,plain,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[415]) ).
thf(7485,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1471,549]) ).
thf(7486,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[7485]) ).
thf(7500,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( C @ c_Event_OinitState )
!= c_Event_Obad )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_B ) ),
inference(simp,[status(thm)],[7486]) ).
thf(150,axiom,
! [B: $i,A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__symKeys__pubK_0) ).
thf(886,plain,
! [B: $i,A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(887,plain,
! [B: $i,A: $i] :
~ ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[886]) ).
thf(2171,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,887]) ).
thf(2172,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[2171]) ).
thf(2178,plain,
! [B: $i,A: $i] :
( ( tc_nat != tc_Message_Omsg )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth )
!= c_Message_OsymKeys )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[2172]) ).
thf(109,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
thf(789,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(489,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_in ) ) )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).
thf(1632,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_in ) ) )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[489]) ).
thf(350,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( B @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS4__lemma_0) ).
thf(1334,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( B @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(512,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ ( B @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( C @ ( B @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I6_J_0) ).
thf(1682,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ ( B @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( C @ ( B @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[512]) ).
thf(4770,plain,
! [B: $i,A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) )
!= ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,960]) ).
thf(4771,plain,
! [B: $i,A: $i] :
( ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) )
!= ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ) ),
inference(simp,[status(thm)],[4770]) ).
thf(4775,plain,
! [B: $i,A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= B )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( v_evsf != A ) ),
inference(simp,[status(thm)],[4771]) ).
thf(4787,plain,
( ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared ),
inference(simp,[status(thm)],[4775]) ).
thf(40842,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A != c_NS__Shared__Mirabelle_Ons__shared )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,4787]) ).
thf(40843,plain,
! [A: $i] :
( ( A != c_NS__Shared__Mirabelle_Ons__shared )
| ~ ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[40842:[bind(A,$thf( A )),bind(B,$thf( tc_Event_Oevent @ tc_List_Olist ))]]) ).
thf(42431,plain,
~ ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ),
inference(simp,[status(thm)],[40843]) ).
thf(42958,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4515,42431]) ).
thf(42959,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[42958]) ).
thf(43115,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) )
!= tc_bool )
| ( A
!= ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared ) ),
inference(simp,[status(thm)],[42959]) ).
thf(43184,plain,
( ( ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared ) ),
inference(simp,[status(thm)],[43115]) ).
thf(173,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( A @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS5__lemma_0) ).
thf(937,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( A @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(2633,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Osynth @ c_Message_Osynth )
!= ( B @ c_Message_Osynth ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( B @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[1692,1652]) ).
thf(2634,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[2633:[bind(A,$thf( C )),bind(B,$thf( C @ c_Message_Osynth ))]]) ).
thf(2635,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ),
inference(simp,[status(thm)],[2634]) ).
thf(3970,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Osynth @ c_Message_Osynth )
!= ( B @ c_Message_Osynth ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( B @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[1692,2635]) ).
thf(3971,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_Message_Osynth @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[3970:[bind(A,$thf( C )),bind(B,$thf( C @ c_Message_Osynth ))]]) ).
thf(3973,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_Message_Osynth @ c_lessequals ) ) ),
inference(simp,[status(thm)],[3971]) ).
thf(4798,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ),
inference(rewrite,[status(thm)],[3973,1692]) ).
thf(188,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I1_J_0) ).
thf(966,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(27098,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( E @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,1555]) ).
thf(27099,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( E @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) ) ),
inference(simp,[status(thm)],[27098]) ).
thf(27138,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C != tc_Message_Omsg )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_Message_Omsg @ ( tc_nat @ ( E @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) )
| ( A
!= ( D @ c_Message_Omsg_ONonce ) ) ),
inference(simp,[status(thm)],[27099]) ).
thf(27150,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) )
!= ( tc_Message_Omsg @ ( tc_nat @ ( C @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
inference(simp,[status(thm)],[27138]) ).
thf(27354,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_Message_Omsg @ ( tc_nat @ ( F @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_Message_Omsg @ ( D @ ( E @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[618,27150]) ).
thf(27355,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(pattern_uni,[status(thm)],[27354:[bind(A,$thf( c_Message_Omsg_OKey )),bind(B,$thf( tc_nat )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ))]]) ).
thf(27400,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[27355]) ).
thf(326,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__synth_0) ).
thf(1283,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(1261,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_ONonce ) ) ),
inference(cnf,[status(esa)],[1260]) ).
thf(1262,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_ONonce ) ) ),
inference(lifteq,[status(thm)],[1261]) ).
thf(1263,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ c_Message_Omsg_ONonce @ A )
= B ),
inference(detectInverse,[status(thm)],[1262]) ).
thf(1264,plain,
! [A: $i] :
( ( A @ c_Message_Omsg_ONonce @ sk15 )
= A ),
inference(cnf,[status(esa)],[1263]) ).
thf(2007,plain,
! [A: $i] :
( ( A @ c_Message_Omsg_ONonce @ sk15 )
= A ),
inference(lifteq,[status(thm)],[1264]) ).
thf(9400,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( A
= ( tc_bool @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[9364,2031]) ).
thf(9401,plain,
! [A: $i] :
( ( tc_bool @ ( tc_bool @ c_Orderings_Obot__class_Obot @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(pattern_uni,[status(thm)],[9400:[bind(A,$thf( A )),bind(B,$thf( tc_bool @ c_Orderings_Obot__class_Obot )),bind(C,$thf( A ))]]) ).
thf(1806,plain,
! [A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1074,552]) ).
thf(1807,plain,
! [A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[1806]) ).
thf(1812,plain,
! [A: $i] :
( ( tc_nat != tc_Message_Omsg )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz )
!= c_Message_OsymKeys )
| ( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) ) ) ),
inference(simp,[status(thm)],[1807]) ).
thf(2934,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_nat != tc_Message_Omsg )
| ( ( A @ c_Message_Oanalz )
!= c_Message_OsymKeys )
| ( ( B @ ( c_Public_OshrK @ hAPP ) )
!= ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) ) ) ),
inference(paramod_ordered,[status(thm)],[1566,1812]) ).
thf(2943,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_nat != tc_Message_Omsg )
| ( ( A @ c_Message_Oanalz )
!= c_Message_OsymKeys )
| ( B != v_K )
| ( c_Public_OshrK != c_Message_Omsg_OKey ) ),
inference(simp,[status(thm)],[2934]) ).
thf(2950,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_nat != tc_Message_Omsg )
| ( ( A @ c_Message_Oanalz )
!= c_Message_OsymKeys )
| ( c_Public_OshrK != c_Message_Omsg_OKey ) ),
inference(simp,[status(thm)],[2943]) ).
thf(4176,plain,
! [A: $i] :
( ( ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1464,546]) ).
thf(4177,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[4176]) ).
thf(4205,plain,
! [A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Event_OinitState )
!= c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_A ) ),
inference(simp,[status(thm)],[4177]) ).
thf(8,negated_conjecture,
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
thf(544,plain,
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(551,plain,
~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[544]) ).
thf(1942,plain,
( ( ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,551]) ).
thf(1943,plain,
( ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) ),
inference(simp,[status(thm)],[1942]) ).
thf(1946,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Event_Oevent )
| ( ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) )
!= v_evsf ) ),
inference(simp,[status(thm)],[1943]) ).
thf(412,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( E @ c_Message_Omsg_OAgent @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( E @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( D @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ ( C @ ( A @ v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 ) ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_secrecy__lemma_0) ).
thf(1465,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( E @ c_Message_Omsg_OAgent @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( E @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( D @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ ( C @ ( A @ v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 ) ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[412]) ).
thf(95,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Olinorder ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
thf(755,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Olinorder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(756,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Olinorder ) ),
inference(cnf,[status(esa)],[755]) ).
thf(504,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__analz_1) ).
thf(1664,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[504]) ).
thf(7561,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord )
!= ( D @ class_HOL_Oord ) )
| ~ $true
| ( D @ ( C @ tc_fun ) @ class_HOL_Oord ) ),
inference(paramod_ordered,[status(thm)],[7556,653]) ).
thf(7562,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord )
!= ( D @ class_HOL_Oord ) )
| ( D @ ( C @ tc_fun ) @ class_HOL_Oord ) ),
inference(simp,[status(thm)],[7561]) ).
thf(7563,plain,
! [C: $i,B: $i,A: $i] : ( tc_nat @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord ),
inference(pattern_uni,[status(thm)],[7562:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tc_nat @ ( G @ tc_fun ) @ ( E @ tc_fun ) ))]]) ).
thf(7564,plain,
! [C: $i,B: $i,A: $i] : ( tc_nat @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_HOL_Oord ),
inference(simp,[status(thm)],[7563]) ).
thf(1804,plain,
! [A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1074,546]) ).
thf(1805,plain,
! [A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[1804]) ).
thf(1811,plain,
! [A: $i] :
( ( tc_nat != tc_Message_Oagent )
| ( c_Message_OsymKeys != c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) )
!= v_A ) ),
inference(simp,[status(thm)],[1805]) ).
thf(404,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Nonce_0) ).
thf(1450,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[404]) ).
thf(2080,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(paramod_ordered,[status(thm)],[1692,1800]) ).
thf(2090,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(simp,[status(thm)],[2080]) ).
thf(370,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( A @ ( C @ ( D @ hAPP ) @ ( C @ ( B @ hAPP ) @ c_lessequals ) ) )
| ~ ( A @ class_HOL_Oord ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
thf(1373,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( A @ ( C @ ( D @ hAPP ) @ ( C @ ( B @ hAPP ) @ c_lessequals ) ) )
| ~ ( A @ class_HOL_Oord ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(390,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( B = D )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
thf(1418,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( B = D )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).
thf(43,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).
thf(621,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(622,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
inference(cnf,[status(esa)],[621]) ).
thf(623,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
inference(lifteq,[status(thm)],[622]) ).
thf(375,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
thf(1383,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(398,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
thf(1439,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).
thf(24542,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) ) )
| ~ $true
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[1439,696]) ).
thf(24543,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(simp,[status(thm)],[24542]) ).
thf(24544,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oparts ) ),
inference(pattern_uni,[status(thm)],[24543:[bind(A,$thf( F )),bind(B,$thf( F @ c_Message_Oparts )),bind(C,$thf( F @ c_Message_Oanalz )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(24837,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[24544]) ).
thf(26666,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oparts )
!= ( A @ c_Message_Oparts ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oparts ) ) ),
inference(paramod_ordered,[status(thm)],[12731,24837]) ).
thf(26667,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oparts ) ),
inference(pattern_uni,[status(thm)],[26666:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth ))]]) ).
thf(27515,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth ) ),
inference(rewrite,[status(thm)],[26667,11511,12731]) ).
thf(19,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
thf(572,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(573,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(cnf,[status(esa)],[572]) ).
thf(574,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ class_Lattices_Olattice )
| ( ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(lifteq,[status(thm)],[573]) ).
thf(224,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_1) ).
thf(1051,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(122,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I44_J_0) ).
thf(821,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(159,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__empty_0) ).
thf(905,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(11605,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= A )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[11516]) ).
thf(11632,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[11605]) ).
thf(372,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Crypt__if_0) ).
thf(1377,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(295,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( C @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__HPair_0) ).
thf(1215,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( C @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(71,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
thf(692,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(182,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_priK__in__initState_0) ).
thf(956,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(141,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( C @ ( B @ c_in ) ) )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( A @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__image__eq_2) ).
thf(866,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( C @ ( B @ c_in ) ) )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( A @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(234,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I2_J_0) ).
thf(1072,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(484,axiom,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OAgent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I13_J_0) ).
thf(1622,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[484]) ).
thf(439,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__neq__HPair_0) ).
thf(1524,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[439]) ).
thf(1525,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(polarity_switch,[status(thm)],[1524]) ).
thf(1526,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(lifteq,[status(thm)],[1525]) ).
thf(2963,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Olattice )
!= ( B @ class_Lattices_Olattice ) )
| ~ $true
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(paramod_ordered,[status(thm)],[594,580]) ).
thf(2964,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Olattice )
!= ( B @ class_Lattices_Olattice ) )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(simp,[status(thm)],[2963]) ).
thf(2965,plain,
! [A: $i] : ( tc_nat @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ),
inference(pattern_uni,[status(thm)],[2964:[bind(A,$thf( A )),bind(B,$thf( tc_nat ))]]) ).
thf(30,axiom,
tc_bool @ class_Orderings_Otop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
thf(593,plain,
tc_bool @ class_Orderings_Otop,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(27,axiom,
! [B: $i,A: $i] :
( ~ ( B @ class_Orderings_Otop )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Otop ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
thf(588,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Orderings_Otop )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(589,plain,
! [B: $i,A: $i] :
( ~ ( B @ class_Orderings_Otop )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Otop ) ),
inference(cnf,[status(esa)],[588]) ).
thf(3604,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Orderings_Otop )
!= ( B @ class_Orderings_Otop ) )
| ~ $true
| ( B @ ( A @ tc_fun ) @ class_Orderings_Otop ) ),
inference(paramod_ordered,[status(thm)],[593,589]) ).
thf(3605,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Orderings_Otop )
!= ( B @ class_Orderings_Otop ) )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Otop ) ),
inference(simp,[status(thm)],[3604]) ).
thf(3606,plain,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ class_Orderings_Otop ),
inference(pattern_uni,[status(thm)],[3605:[bind(A,$thf( A )),bind(B,$thf( tc_bool ))]]) ).
thf(731,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(lifteq,[status(thm)],[730]) ).
thf(29854,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ c_Message_Osynth @ ( D @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( D @ c_Message_Osynth @ c_Message_Oparts ) ) ),
inference(paramod_ordered,[status(thm)],[731,1528]) ).
thf(29855,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Osynth @ c_Message_Oparts ) ),
inference(pattern_uni,[status(thm)],[29854:[bind(A,$thf( F @ c_Message_Oparts )),bind(B,$thf( F @ c_Message_Osynth )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( F ))]]) ).
thf(30157,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Osynth @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[29855]) ).
thf(5023,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_nat @ ( c_Message_OsymKeys @ ( D @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[827,887]) ).
thf(5024,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_nat @ ( c_Message_OsymKeys @ ( D @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[5023]) ).
thf(5032,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B != tc_nat )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= c_Message_OsymKeys )
| ( A
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ) ),
inference(simp,[status(thm)],[5024]) ).
thf(5045,plain,
( ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= c_Message_OsymKeys ),
inference(simp,[status(thm)],[5032]) ).
thf(34,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
thf(601,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(602,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(lifteq,[status(thm)],[601]) ).
thf(43102,plain,
! [A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4520,42431]) ).
thf(43103,plain,
! [A: $i] :
( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[43102]) ).
thf(43142,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) )
!= tc_nat )
| ( A
!= ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared ) ),
inference(simp,[status(thm)],[43103]) ).
thf(43154,plain,
( ( ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= c_NS__Shared__Mirabelle_Ons__shared ) ),
inference(simp,[status(thm)],[43142]) ).
thf(194,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_ONotes ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I6_J_0) ).
thf(981,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_ONotes ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(100,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI1_0) ).
thf(766,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(771,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_OHPair ) @ ( C @ A ) )
= B ),
inference(detectInverse,[status(thm)],[770]) ).
thf(772,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_OHPair ) @ ( B @ sk8 ) )
= A ),
inference(cnf,[status(esa)],[771]) ).
thf(7613,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_OHPair ) @ ( B @ sk8 ) )
= A ),
inference(lifteq,[status(thm)],[772]) ).
thf(2267,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1319,546]) ).
thf(2268,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[2267]) ).
thf(2281,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( B @ c_Message_Osynth )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_OAgent )
!= v_A ) ),
inference(simp,[status(thm)],[2268]) ).
thf(86,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
thf(734,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(355,axiom,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__Key_0) ).
thf(1344,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(1345,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
inference(lifteq,[status(thm)],[1344]) ).
thf(197,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__synth__eq_1) ).
thf(988,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(289,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = c_Message_Oagent_OSpy )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( A @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Gets_0) ).
thf(1201,plain,
! [C: $i,B: $i,A: $i] :
( ( A = c_Message_Oagent_OSpy )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( A @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(1212,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[1211]) ).
thf(11469,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( E @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( D @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[827,1212]) ).
thf(11470,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( E @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( D @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[11469]) ).
thf(11494,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B != tc_nat )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_nat @ ( tc_Message_Oagent @ ( E @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) ) )
| ( A
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ) ),
inference(simp,[status(thm)],[11470]) ).
thf(11505,plain,
! [A: $i] :
( ( tc_nat @ ( tc_Message_Oagent @ ( A @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(simp,[status(thm)],[11494]) ).
thf(518,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OHash ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I14_J_0) ).
thf(1695,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[518]) ).
thf(1696,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(polarity_switch,[status(thm)],[1695]) ).
thf(1697,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(lifteq,[status(thm)],[1696]) ).
thf(308,axiom,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_Message_OinvKey @ c_in ) ) )
| ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_0) ).
thf(1242,plain,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_Message_OinvKey @ c_in ) ) )
| ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(133,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( C @ ( B @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Gets_0) ).
thf(849,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( C @ ( B @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(497,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__neq__privateKey_0) ).
thf(1649,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[497]) ).
thf(1650,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) ),
inference(polarity_switch,[status(thm)],[1649]) ).
thf(1651,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) ),
inference(lifteq,[status(thm)],[1650]) ).
thf(24529,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) ) )
| ~ $true
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[1652,696]) ).
thf(24530,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(simp,[status(thm)],[24529]) ).
thf(24531,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Osynth ) ),
inference(pattern_uni,[status(thm)],[24530:[bind(A,$thf( E )),bind(B,$thf( E @ c_Message_Osynth )),bind(C,$thf( E )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(24834,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Osynth ) ),
inference(simp,[status(thm)],[24531]) ).
thf(291,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Decrypt_H_0) ).
thf(1206,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(165,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) )
| ( A = c_Message_Oagent_OServer )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( C @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( E @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS3_0) ).
thf(920,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) )
| ( A = c_Message_Oagent_OServer )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( C @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( E @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(45142,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1370,41843]) ).
thf(45143,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45142]) ).
thf(45306,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A != c_NS__Shared__Mirabelle_Ons__shared )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45143]) ).
thf(45376,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( c_NS__Shared__Mirabelle_Ons__shared @ c_Message_Oanalz ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45306]) ).
thf(58,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
thf(661,plain,
! [B: $i,A: $i] : ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(1306,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( C @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[1305]) ).
thf(288,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_2) ).
thf(1199,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(117,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
thf(810,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(352,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__parts__UnE_0) ).
thf(1338,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(47914,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1618,42012]) ).
thf(47915,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[47914]) ).
thf(48091,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[47915]) ).
thf(48158,plain,
! [A: $i] :
( ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[48091]) ).
thf(231,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth_1) ).
thf(1067,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(37968,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A != c_Event_Obad )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,4792]) ).
thf(37969,plain,
! [A: $i] :
( ( A != c_Event_Obad )
| ~ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[37968:[bind(A,$thf( A )),bind(B,$thf( tc_Message_Oagent ))]]) ).
thf(41885,plain,
~ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Event_Obad @ c_lessequals ) ) ),
inference(simp,[status(thm)],[37969]) ).
thf(42733,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Event_Obad @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4515,41885]) ).
thf(42734,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Event_Obad @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[42733]) ).
thf(42872,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) )
!= tc_bool )
| ( A
!= ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= c_Event_Obad ) ),
inference(simp,[status(thm)],[42734]) ).
thf(42955,plain,
( ( ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= c_Event_Obad ) ),
inference(simp,[status(thm)],[42872]) ).
thf(83,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
thf(727,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(728,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(cnf,[status(esa)],[727]) ).
thf(729,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(lifteq,[status(thm)],[728]) ).
thf(28708,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_lessequals ) ) ) )
| ~ $true
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(paramod_ordered,[status(thm)],[1439,729]) ).
thf(28709,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(simp,[status(thm)],[28708]) ).
thf(28710,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oparts ) ),
inference(pattern_uni,[status(thm)],[28709:[bind(A,$thf( F )),bind(B,$thf( F @ c_Message_Oanalz )),bind(C,$thf( F @ c_Message_Oparts )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(28923,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[28710]) ).
thf(476,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_NS__Shared__Mirabelle_OIssues ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__Issues__A_0) ).
thf(1604,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_NS__Shared__Mirabelle_OIssues ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[476]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).
thf(576,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(577,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[576]) ).
thf(578,plain,
! [B: $i,A: $i] :
( ~ ( A @ class_Lattices_Oupper__semilattice )
| ( ( A @ ( B @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(lifteq,[status(thm)],[577]) ).
thf(2903,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ~ $true
| ( ( A @ ( B @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[592,578]) ).
thf(2904,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ( ( A @ ( B @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(simp,[status(thm)],[2903]) ).
thf(2905,plain,
! [A: $i] :
( ( tc_nat @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(pattern_uni,[status(thm)],[2904:[bind(A,$thf( tc_nat ))]]) ).
thf(2922,plain,
! [A: $i] :
( ( tc_nat @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(simp,[status(thm)],[2905]) ).
thf(110,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__eq_1) ).
thf(791,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(792,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
inference(cnf,[status(esa)],[791]) ).
thf(793,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
inference(lifteq,[status(thm)],[792]) ).
thf(28588,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_lessequals ) ) ) )
| ~ $true
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(paramod_ordered,[status(thm)],[1618,729]) ).
thf(28589,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(simp,[status(thm)],[28588]) ).
thf(28590,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oparts ) ),
inference(pattern_uni,[status(thm)],[28589:[bind(A,$thf( E )),bind(B,$thf( E )),bind(C,$thf( E @ c_Message_Oparts )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(28970,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[28590]) ).
thf(630,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(lifteq,[status(thm)],[629]) ).
thf(30390,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( B @ tc_fun ) @ ( C @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( ( A @ c_Message_Oparts )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(paramod_ordered,[status(thm)],[28970,630]) ).
thf(30391,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(pattern_uni,[status(thm)],[30390:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )),bind(B,$thf( tc_Message_Omsg )),bind(C,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts ))]]) ).
thf(226,axiom,
! [A: $i] :
( ( A @ c_Message_Oparts @ c_Message_Oparts )
= ( A @ c_Message_Oparts ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
thf(1056,plain,
! [A: $i] :
( ( A @ c_Message_Oparts @ c_Message_Oparts )
= ( A @ c_Message_Oparts ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(1057,plain,
! [A: $i] :
( ( A @ c_Message_Oparts @ c_Message_Oparts )
= ( A @ c_Message_Oparts ) ),
inference(lifteq,[status(thm)],[1056]) ).
thf(64,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
thf(676,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(35205,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( A @ c_Message_Osynth @ c_Message_Oparts @ ( B @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[30157,676]) ).
thf(35206,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[35205:[bind(A,$thf( F )),bind(B,$thf( F @ c_Message_Oparts )),bind(C,$thf( F @ c_Message_Osynth )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(35339,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ),
inference(simp,[status(thm)],[35206]) ).
thf(35462,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Oparts @ c_Message_Oparts )
!= ( B @ c_Message_Oparts ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[1057,35339]) ).
thf(35463,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ c_Message_Osynth @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[35462:[bind(A,$thf( C )),bind(B,$thf( C @ c_Message_Oparts ))]]) ).
thf(35568,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ c_Message_Osynth @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ),
inference(simp,[status(thm)],[35463]) ).
thf(36150,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts )
!= ( A @ c_Message_Oparts ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[30391,35568]) ).
thf(36151,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ),
inference(pattern_uni,[status(thm)],[36150:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ))]]) ).
thf(36948,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ),
inference(rewrite,[status(thm)],[36151,30391]) ).
thf(43342,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36948,41515]) ).
thf(43343,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[43342]) ).
thf(43376,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth @ c_Message_Oparts ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[43343]) ).
thf(43448,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[43376]) ).
thf(28695,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_lessequals ) ) ) )
| ~ $true
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(paramod_ordered,[status(thm)],[1652,729]) ).
thf(28696,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(simp,[status(thm)],[28695]) ).
thf(28697,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Osynth ) ),
inference(pattern_uni,[status(thm)],[28696:[bind(A,$thf( E )),bind(B,$thf( E )),bind(C,$thf( E @ c_Message_Osynth )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(28919,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Osynth ) ),
inference(simp,[status(thm)],[28697]) ).
thf(29105,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( B @ tc_fun ) @ ( C @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( ( A @ c_Message_Osynth )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(paramod_ordered,[status(thm)],[28919,630]) ).
thf(29106,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(pattern_uni,[status(thm)],[29105:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )),bind(B,$thf( tc_Message_Omsg )),bind(C,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth ))]]) ).
thf(44508,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts ) ),
inference(rewrite,[status(thm)],[43448,29106]) ).
thf(167,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( E @ ( C @ v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2 ) @ c_Message_Omsg_OMPair ) @ ( E @ ( C @ v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1 ) @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS5_0) ).
thf(925,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( E @ ( C @ v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2 ) @ c_Message_Omsg_OMPair ) @ ( E @ ( C @ v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1 ) @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(97,axiom,
! [C: $i,B: $i,A: $i] :
( ( C
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
thf(759,plain,
! [C: $i,B: $i,A: $i] :
( ( C
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(760,plain,
! [C: $i,B: $i,A: $i] :
( ( C
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(cnf,[status(esa)],[759]) ).
thf(761,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ class_Lattices_Obounded__lattice )
| ( C
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) ) ),
inference(lifteq,[status(thm)],[760]) ).
thf(27092,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( E @ c_Event_OinitState @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,1394]) ).
thf(27093,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( E @ c_Event_OinitState @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) ) ),
inference(simp,[status(thm)],[27092]) ).
thf(27144,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C != tc_Message_Omsg )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( E @ c_Event_OinitState @ c_Message_Oparts ) )
| ( A
!= ( D @ c_Message_Omsg_ONonce ) ) ),
inference(simp,[status(thm)],[27093]) ).
thf(27156,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) )
!= ( C @ c_Event_OinitState @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[27144]) ).
thf(222,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_1) ).
thf(1047,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(534,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
thf(1730,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[534]) ).
thf(274,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I9_J_0) ).
thf(1163,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(161,axiom,
! [B: $i,A: $i] :
( ( tc_nat @ ( B @ c_Message_Oanalz @ c_Message_OkeysFor @ ( A @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Key_0) ).
thf(910,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( B @ c_Message_Oanalz @ c_Message_OkeysFor @ ( A @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(183,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( D @ ( A @ c_Set_Oinsert ) ) @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
thf(957,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( D @ ( A @ c_Set_Oinsert ) ) @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(212,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_1) ).
thf(1021,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(180,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OHash ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I45_J_0) ).
thf(952,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OHash ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(463,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__trans_0) ).
thf(1580,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[463]) ).
thf(429,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
thf(1502,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[429]) ).
thf(35444,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oparts )
!= ( A @ c_Message_Osynth @ c_Message_Oparts ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[12731,35339]) ).
thf(35445,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ c_lessequals ) ),
inference(pattern_uni,[status(thm)],[35444:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ))]]) ).
thf(35603,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ),
inference(rewrite,[status(thm)],[35445,1298]) ).
thf(10276,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_Message_Omsg @ ( tc_nat @ ( E @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( D @ c_Message_Omsg_OHash )
!= v_Xa ) ),
inference(paramod_ordered,[status(thm)],[618,2829]) ).
thf(10277,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Omsg_OHash )
!= v_Xa ) ),
inference(pattern_uni,[status(thm)],[10276:[bind(A,$thf( c_Message_Omsg_OKey )),bind(B,$thf( tc_nat )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( D )),bind(E,$thf( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ))]]) ).
thf(10278,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Omsg_OHash )
!= v_Xa ) ),
inference(simp,[status(thm)],[10277]) ).
thf(306,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OCrypt_0) ).
thf(1238,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(91,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
thf(745,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(746,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(lifteq,[status(thm)],[745]) ).
thf(243,axiom,
! [C: $i,B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( C @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__image__Key_0) ).
thf(1091,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( C @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(438,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
thf(1519,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[438]) ).
thf(257,axiom,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__image__Key_0) ).
thf(1122,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(1123,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_nat @ ( A @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
inference(lifteq,[status(thm)],[1122]) ).
thf(862,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( C @ c_Message_OkeysFor ) ),
inference(lifteq,[status(thm)],[861]) ).
thf(460,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
thf(1570,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[460]) ).
thf(42642,plain,
! [A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Message_OsymKeys @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4520,41646]) ).
thf(42643,plain,
! [A: $i] :
( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Message_OsymKeys @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[42642]) ).
thf(42674,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_nat @ tc_fun ) )
!= tc_nat )
| ( A
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= c_Message_OsymKeys ) ),
inference(simp,[status(thm)],[42643]) ).
thf(42708,plain,
( ( ( tc_bool @ ( tc_nat @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= c_Message_OsymKeys ) ),
inference(simp,[status(thm)],[42674]) ).
thf(5027,plain,
! [B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[827,549]) ).
thf(5028,plain,
! [B: $i,A: $i] :
( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[5027]) ).
thf(5031,plain,
! [B: $i,A: $i] :
( ( B != tc_Message_Oagent )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= c_Event_Obad )
| ( A != v_B ) ),
inference(simp,[status(thm)],[5028]) ).
thf(5044,plain,
( ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= c_Event_Obad ),
inference(simp,[status(thm)],[5031]) ).
thf(279,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__used_0) ).
thf(1174,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(509,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) )
| ( C @ ( D @ ( A @ c_in ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).
thf(1676,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) )
| ( C @ ( D @ ( A @ c_in ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[509]) ).
thf(296,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_nat @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__image__eq_0) ).
thf(1217,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_nat @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(33,axiom,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
thf(598,plain,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(11543,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[11511,552]) ).
thf(11587,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ~ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[11543]) ).
thf(505,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( D @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
thf(1666,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( D @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[505]) ).
thf(693,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[692]) ).
thf(1817,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(paramod_ordered,[status(thm)],[841,1798]) ).
thf(1824,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(simp,[status(thm)],[1817]) ).
thf(483,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I33_J_0) ).
thf(1619,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[483]) ).
thf(2025,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ~ $true
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[592,558]) ).
thf(2026,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(simp,[status(thm)],[2025]) ).
thf(2027,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_nat @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(pattern_uni,[status(thm)],[2026:[bind(A,$thf( tc_nat ))]]) ).
thf(2032,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_nat @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(simp,[status(thm)],[2027]) ).
thf(119,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL )
| ( B @ ( C @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1E_0) ).
thf(815,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL )
| ( B @ ( C @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(392,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ ( B @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( C @ ( B @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I5_J_0) ).
thf(1423,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ ( B @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( C @ ( B @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).
thf(163,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Hash_0) ).
thf(916,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(17,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
thf(566,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(3611,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_Orderings_Otop )
!= ( C @ class_Orderings_Otop ) )
| ~ $true
| ( C @ ( B @ tc_fun ) @ class_Orderings_Otop ) ),
inference(paramod_ordered,[status(thm)],[3606,589]) ).
thf(3612,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_Orderings_Otop )
!= ( C @ class_Orderings_Otop ) )
| ( C @ ( B @ tc_fun ) @ class_Orderings_Otop ) ),
inference(simp,[status(thm)],[3611]) ).
thf(3613,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Otop ),
inference(pattern_uni,[status(thm)],[3612:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( tc_bool @ ( D @ tc_fun ) ))]]) ).
thf(3614,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Otop ),
inference(simp,[status(thm)],[3613]) ).
thf(3615,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Otop )
!= ( D @ class_Orderings_Otop ) )
| ~ $true
| ( D @ ( C @ tc_fun ) @ class_Orderings_Otop ) ),
inference(paramod_ordered,[status(thm)],[3614,589]) ).
thf(3616,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Otop )
!= ( D @ class_Orderings_Otop ) )
| ( D @ ( C @ tc_fun ) @ class_Orderings_Otop ) ),
inference(simp,[status(thm)],[3615]) ).
thf(3617,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Otop ),
inference(pattern_uni,[status(thm)],[3616:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tc_bool @ ( G @ tc_fun ) @ ( E @ tc_fun ) ))]]) ).
thf(3618,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Otop ),
inference(simp,[status(thm)],[3617]) ).
thf(45122,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1618,41843]) ).
thf(45123,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45122]) ).
thf(45302,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A != c_NS__Shared__Mirabelle_Ons__shared )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45123]) ).
thf(45372,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( c_NS__Shared__Mirabelle_Ons__shared @ c_Message_Oparts ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg ) ),
inference(simp,[status(thm)],[45302]) ).
thf(45910,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( c_NS__Shared__Mirabelle_Ons__shared @ c_Message_Oparts ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[765,45372]) ).
thf(45911,plain,
! [A: $i] :
( ( A
!= ( c_NS__Shared__Mirabelle_Ons__shared @ c_Message_Oparts ) )
| ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[45910:[bind(A,$thf( A )),bind(B,$thf( tc_Message_Omsg ))]]) ).
thf(45946,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[45911]) ).
thf(281,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).
thf(1178,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(408,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__MPair_0) ).
thf(1457,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[408]) ).
thf(1623,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(polarity_switch,[status(thm)],[1622]) ).
thf(1624,plain,
! [B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(lifteq,[status(thm)],[1623]) ).
thf(2175,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,887]) ).
thf(2176,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) ),
inference(simp,[status(thm)],[2175]) ).
thf(2179,plain,
! [B: $i,A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_nat )
| ( c_Message_OsymKeys != c_NS__Shared__Mirabelle_Ons__shared )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= v_evsf ) ),
inference(simp,[status(thm)],[2176]) ).
thf(96,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( E @ ( A @ c_Set_Oimage ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( D @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oimage ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I57_J_0) ).
thf(757,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( E @ ( A @ c_Set_Oimage ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( D @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oimage ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(67,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( E @ tc_fun ) @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( E @ ( D @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Un_0) ).
thf(681,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( E @ tc_fun ) @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( E @ ( D @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(682,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( E @ tc_fun ) @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( E @ ( D @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(lifteq,[status(thm)],[681]) ).
thf(325,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) )
| ( tc_Message_Omsg @ ( D @ c_Event_Oused @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS1_0) ).
thf(1281,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) )
| ( tc_Message_Omsg @ ( D @ c_Event_Oused @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ c_Message_Omsg_ONonce @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(377,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( C @ ( B @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
thf(1390,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( C @ ( B @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(1391,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( C @ ( B @ c_Set_Oinsert ) ) ) ),
inference(polarity_switch,[status(thm)],[1390]) ).
thf(1392,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(lifteq,[status(thm)],[1391]) ).
thf(130,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( D @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( A @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS2_0) ).
thf(842,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( D @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( A @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(3083,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Obounded__lattice )
!= ( B @ class_Lattices_Obounded__lattice ) )
| ~ $true
| ( B @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
inference(paramod_ordered,[status(thm)],[586,582]) ).
thf(3084,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Obounded__lattice )
!= ( B @ class_Lattices_Obounded__lattice ) )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
inference(simp,[status(thm)],[3083]) ).
thf(3085,plain,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ),
inference(pattern_uni,[status(thm)],[3084:[bind(A,$thf( A )),bind(B,$thf( tc_bool ))]]) ).
thf(3087,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice )
!= ( C @ class_Lattices_Obounded__lattice ) )
| ~ $true
| ( C @ ( B @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
inference(paramod_ordered,[status(thm)],[3085,582]) ).
thf(3088,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice )
!= ( C @ class_Lattices_Obounded__lattice ) )
| ( C @ ( B @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
inference(simp,[status(thm)],[3087]) ).
thf(3089,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ),
inference(pattern_uni,[status(thm)],[3088:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( tc_bool @ ( D @ tc_fun ) ))]]) ).
thf(3090,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ),
inference(simp,[status(thm)],[3089]) ).
thf(135,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_1) ).
thf(852,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(2813,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,951]) ).
thf(2814,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_OHash @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) ),
inference(simp,[status(thm)],[2813]) ).
thf(2820,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_OHash )
!= c_Message_Oagent_OSpy ) ),
inference(simp,[status(thm)],[2814]) ).
thf(24,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
thf(583,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(126,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__analz_0) ).
thf(830,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(1776,plain,
( ( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,546]) ).
thf(1777,plain,
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[1776]) ).
thf(1783,plain,
( ( tc_Message_Oagent != tc_Message_Oagent )
| ( c_Event_Obad != c_Event_Obad )
| ( c_Message_Oagent_OSpy != v_A ) ),
inference(simp,[status(thm)],[1777]) ).
thf(1787,plain,
c_Message_Oagent_OSpy != v_A,
inference(simp,[status(thm)],[1783]) ).
thf(2173,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,887]) ).
thf(2174,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) ),
inference(simp,[status(thm)],[2173]) ).
thf(2181,plain,
! [B: $i,A: $i] :
( ( tc_nat != tc_Message_Oagent )
| ( c_Message_OsymKeys != c_Event_Obad )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= c_Message_Oagent_OSpy ) ),
inference(simp,[status(thm)],[2174]) ).
thf(7465,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1471,546]) ).
thf(7466,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[7465]) ).
thf(7501,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( C @ c_Event_OinitState )
!= c_Event_Obad )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_A ) ),
inference(simp,[status(thm)],[7466]) ).
thf(292,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I17_J_0) ).
thf(1208,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(1209,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
inference(polarity_switch,[status(thm)],[1208]) ).
thf(1210,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
inference(lifteq,[status(thm)],[1209]) ).
thf(501,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I5_J_0) ).
thf(1656,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[501]) ).
thf(282,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
thf(1181,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(1182,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
inference(cnf,[status(esa)],[1181]) ).
thf(1183,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
inference(lifteq,[status(thm)],[1182]) ).
thf(1184,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_Omsg_OCrypt ) @ ( C @ A ) )
= B ),
inference(detectInverse,[status(thm)],[1183]) ).
thf(1185,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) @ ( B @ sk14 ) )
= A ),
inference(cnf,[status(esa)],[1184]) ).
thf(7891,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) @ ( B @ sk14 ) )
= A ),
inference(lifteq,[status(thm)],[1185]) ).
thf(260,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__freshK_2) ).
thf(1128,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(330,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( B @ c_Message_Oanalz ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).
thf(1291,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( B @ c_Message_Oanalz ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(77,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
thf(708,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(709,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
inference(cnf,[status(esa)],[708]) ).
thf(710,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
inference(lifteq,[status(thm)],[709]) ).
thf(382,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( D @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( A @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__image__eq_1) ).
thf(1402,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( D @ c_Public_OpublicKey @ c_Set_Oimage ) ) ) @ ( A @ ( C @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(145,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ c_in ) ) )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
thf(874,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ c_in ) ) )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(443,axiom,
! [B: $i,A: $i] : ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top1I_0) ).
thf(1534,plain,
! [B: $i,A: $i] : ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[443]) ).
thf(15,axiom,
tc_bool @ class_Lattices_Olattice,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
thf(562,plain,
tc_bool @ class_Lattices_Olattice,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(37,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
thf(608,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(609,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(cnf,[status(esa)],[608]) ).
thf(4426,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Olattice )
!= ( A @ class_Lattices_Olattice ) )
| ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[562,609]) ).
thf(4427,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Olattice )
!= ( A @ class_Lattices_Olattice ) )
| ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[4426]) ).
thf(4428,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_bool @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[4427:[bind(A,$thf( tc_bool ))]]) ).
thf(4455,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_bool @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(simp,[status(thm)],[4428]) ).
thf(5614,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( B @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[5426,4455]) ).
thf(5615,plain,
! [A: $i] : ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[5614:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( tc_bool @ c_Orderings_Otop__class_Otop ))]]) ).
thf(81,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Obot__class_Obot @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
thf(723,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Obot__class_Obot @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(724,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Obot__class_Obot @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(cnf,[status(esa)],[723]) ).
thf(725,plain,
! [B: $i,A: $i] :
( ~ ( A @ class_Lattices_Obounded__lattice )
| ( ( A @ ( A @ c_Orderings_Obot__class_Obot @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(lifteq,[status(thm)],[724]) ).
thf(393,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).
thf(1425,plain,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).
thf(529,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Event_Oevent @ ( C @ ( B @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_OFake_0) ).
thf(1719,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Event_Oevent @ ( C @ ( B @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[529]) ).
thf(255,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_Message_Osynth @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__mono_0) ).
thf(1118,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(2992,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice )
!= ( B @ class_Lattices_Oupper__semilattice ) )
| ~ $true
| ( ( B @ ( C @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(paramod_ordered,[status(thm)],[2965,578]) ).
thf(2993,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice )
!= ( B @ class_Lattices_Oupper__semilattice ) )
| ( ( B @ ( C @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(simp,[status(thm)],[2992]) ).
thf(2994,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( B @ tc_fun ) @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(pattern_uni,[status(thm)],[2993:[bind(A,$thf( D )),bind(B,$thf( tc_nat @ ( D @ tc_fun ) )),bind(C,$thf( C ))]]) ).
thf(3001,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( B @ tc_fun ) @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(simp,[status(thm)],[2994]) ).
thf(27122,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( F @ c_Event_OinitState @ c_Message_Oparts @ ( E @ ( D @ c_Message_Omsg_OCrypt ) @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,1101]) ).
thf(27123,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( F @ c_Event_OinitState @ c_Message_Oparts @ ( E @ ( D @ c_Message_Omsg_OCrypt ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[27122]) ).
thf(27147,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C != tc_Message_Omsg )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( F @ c_Event_OinitState @ c_Message_Oparts ) )
| ( A
!= ( E @ ( D @ c_Message_Omsg_OCrypt ) ) ) ),
inference(simp,[status(thm)],[27123]) ).
thf(27161,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( C @ ( B @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
!= ( D @ c_Event_OinitState @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[27147]) ).
thf(358,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OHash @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OHash_0) ).
thf(1350,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OHash @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(90,axiom,
! [B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
thf(742,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(73,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
thf(697,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(1233,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(polarity_switch,[status(thm)],[1232]) ).
thf(1234,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(lifteq,[status(thm)],[1233]) ).
thf(1767,plain,
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[542,549]) ).
thf(1768,plain,
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[1767]) ).
thf(1772,plain,
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts )
!= c_Event_Obad )
| ( ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) )
!= v_B ) ),
inference(simp,[status(thm)],[1768]) ).
thf(698,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[697]) ).
thf(699,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(lifteq,[status(thm)],[698]) ).
thf(4435,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Olattice )
!= ( A @ class_Lattices_Olattice ) )
| ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[594,609]) ).
thf(4436,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ class_Lattices_Olattice )
!= ( A @ class_Lattices_Olattice ) )
| ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[4435]) ).
thf(4437,plain,
! [B: $i,A: $i] : ( tc_nat @ ( tc_nat @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[4436:[bind(A,$thf( tc_nat ))]]) ).
thf(4458,plain,
! [B: $i,A: $i] : ( tc_nat @ ( tc_nat @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(simp,[status(thm)],[4437]) ).
thf(32318,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( tc_nat @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4458,23275]) ).
thf(32319,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( tc_nat @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32318]) ).
thf(32348,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ ( A @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= v_B )
| ( A != c_Message_Oagent_OSpy )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32319]) ).
thf(32400,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( c_Message_Oagent_OSpy @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= v_B )
| ( ( tc_bool @ ( B @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32348]) ).
thf(32863,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_nat @ ( c_Message_Oagent_OSpy @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( B != v_B )
| ( ( tc_bool @ ( E @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( A @ ( B @ ( C @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(paramod_ordered,[status(thm)],[699,32400]) ).
thf(32864,plain,
! [B: $i,A: $i] :
( ( A != v_B )
| ( ( tc_bool @ ( B @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( tc_nat @ ( A @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) )
| ~ ( tc_nat @ class_Lattices_Oupper__semilattice ) ),
inference(pattern_uni,[status(thm)],[32863:[bind(A,$thf( tc_nat )),bind(B,$thf( B )),bind(C,$thf( c_Message_Oagent_OSpy )),bind(D,$thf( B ))]]) ).
thf(32971,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( tc_nat @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) )
| ~ ( tc_nat @ class_Lattices_Oupper__semilattice ) ),
inference(simp,[status(thm)],[32864]) ).
thf(36474,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( tc_nat @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[32971,592]) ).
thf(36475,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( tc_nat @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[36474]) ).
thf(36486,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_lessequals ) ) )
!= ( tc_nat @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( D @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ $true
| ( A @ ( B @ ( C @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Olinorder ) ),
inference(paramod_ordered,[status(thm)],[756,36475]) ).
thf(36487,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ c_lessequals ) ) )
!= ( tc_nat @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( D @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ( A @ ( B @ ( C @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Olinorder ) ),
inference(simp,[status(thm)],[36486]) ).
thf(36488,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ( tc_nat @ ( c_Message_Oagent_OSpy @ ( v_B @ c_lessequals ) ) )
| ~ ( tc_nat @ class_Orderings_Olinorder ) ),
inference(pattern_uni,[status(thm)],[36487:[bind(A,$thf( tc_nat )),bind(B,$thf( c_Message_Oagent_OSpy )),bind(C,$thf( v_B ))]]) ).
thf(36635,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ( tc_nat @ ( c_Message_Oagent_OSpy @ ( v_B @ c_lessequals ) ) )
| ~ ( tc_nat @ class_Orderings_Olinorder ) ),
inference(simp,[status(thm)],[36488]) ).
thf(37544,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ( tc_nat @ ( c_Message_Oagent_OSpy @ ( v_B @ c_lessequals ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[36635,747]) ).
thf(37545,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ( tc_nat @ ( c_Message_Oagent_OSpy @ ( v_B @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[37544]) ).
thf(178,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__trans_0) ).
thf(948,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(371,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) )
| ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_0) ).
thf(1375,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) )
| ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(1820,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[841,545]) ).
thf(1827,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[1820]) ).
thf(6921,plain,
( ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) )
| ~ $true
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(paramod_ordered,[status(thm)],[1827,552]) ).
thf(6922,plain,
( ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[6921]) ).
thf(6940,plain,
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[6922]) ).
thf(6955,plain,
( ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[6940]) ).
thf(252,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I7_J_0) ).
thf(1111,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(1958,plain,
! [A: $i] :
( ( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,1916]) ).
thf(1959,plain,
! [A: $i] :
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ) ),
inference(simp,[status(thm)],[1958]) ).
thf(1964,plain,
! [A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= c_Event_Obad )
| ( c_Message_Oagent_OSpy != A ) ),
inference(simp,[status(thm)],[1959]) ).
thf(1970,plain,
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= c_Event_Obad ) ),
inference(simp,[status(thm)],[1964]) ).
thf(446,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( D @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( C @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
thf(1540,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( D @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( C @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[446]) ).
thf(205,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I48_J_0) ).
thf(1004,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(1005,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ),
inference(polarity_switch,[status(thm)],[1004]) ).
thf(1006,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ),
inference(lifteq,[status(thm)],[1005]) ).
thf(42534,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Message_OsymKeys @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5615,41646]) ).
thf(42535,plain,
! [A: $i] :
( ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Message_OsymKeys @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[42534]) ).
thf(42672,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_nat @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ c_Orderings_Otop__class_Otop ) )
| ( A != c_Message_OsymKeys ) ),
inference(simp,[status(thm)],[42535]) ).
thf(42705,plain,
( ( ( tc_bool @ ( tc_nat @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[42672]) ).
thf(137,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__synth_0) ).
thf(857,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(380,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
thf(1397,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(348,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( F @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( E @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( F @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( F @ c_List_Oset ) @ ( E @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
thf(1329,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( F @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( E @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( F @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( F @ c_List_Oset ) @ ( E @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(363,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ c_Event_OinitState @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).
thf(1361,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ c_Event_OinitState @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(502,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OAgent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I15_J_0) ).
thf(1659,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[502]) ).
thf(2310,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,1394]) ).
thf(2311,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) ),
inference(simp,[status(thm)],[2310]) ).
thf(2323,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( B @ c_Event_OinitState @ c_Message_Oparts )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_ONonce )
!= c_Message_Oagent_OSpy ) ),
inference(simp,[status(thm)],[2311]) ).
thf(6077,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,1101]) ).
thf(6078,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[6077]) ).
thf(6106,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( C @ c_Event_OinitState @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[6078]) ).
thf(6116,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ c_Event_OinitState @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[6106]) ).
thf(61,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_0) ).
thf(667,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(668,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
inference(cnf,[status(esa)],[667]) ).
thf(669,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
inference(lifteq,[status(thm)],[668]) ).
thf(465,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Says_0) ).
thf(1584,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[465]) ).
thf(520,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singletonE_0) ).
thf(1700,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[520]) ).
thf(1802,plain,
! [A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1074,1549]) ).
thf(1803,plain,
! [A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) ),
inference(simp,[status(thm)],[1802]) ).
thf(1810,plain,
! [A: $i] :
( ( tc_nat != tc_Message_Oagent )
| ( c_Message_OsymKeys != c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) )
!= c_Message_Oagent_OServer ) ),
inference(simp,[status(thm)],[1803]) ).
thf(402,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
thf(1446,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).
thf(35446,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oparts )
!= ( A @ c_Message_Oparts ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[12731,35339]) ).
thf(35447,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_lessequals ) ),
inference(pattern_uni,[status(thm)],[35446:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth ))]]) ).
thf(37352,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_lessequals ) ),
inference(rewrite,[status(thm)],[35447,1692]) ).
thf(271,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ c_in ) ) )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
thf(1155,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ c_in ) ) )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(32786,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_nat @ ( c_Message_Oagent_OSpy @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( ( A @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( ( tc_bool @ ( D @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(paramod_ordered,[status(thm)],[628,32400]) ).
thf(32787,plain,
! [A: $i] :
( ( ( tc_nat @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( tc_nat @ class_Lattices_Obounded__lattice ) ),
inference(pattern_uni,[status(thm)],[32786:[bind(A,$thf( tc_nat )),bind(B,$thf( c_Message_Oagent_OSpy )),bind(C,$thf( tc_nat @ c_Orderings_Otop__class_Otop )),bind(D,$thf( D ))]]) ).
thf(32939,plain,
! [A: $i] :
( ( ( tc_nat @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( tc_nat @ class_Lattices_Obounded__lattice ) ),
inference(simp,[status(thm)],[32787]) ).
thf(34224,plain,
! [A: $i] :
( ( ( tc_nat @ class_Lattices_Obounded__lattice )
!= ( tc_bool @ class_Lattices_Obounded__lattice ) )
| ( ( tc_nat @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[586,32939]) ).
thf(34225,plain,
! [A: $i] :
( ( ( tc_nat @ class_Lattices_Obounded__lattice )
!= ( tc_bool @ class_Lattices_Obounded__lattice ) )
| ( ( tc_nat @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[34224]) ).
thf(34258,plain,
! [A: $i] :
( ( tc_nat != tc_bool )
| ( ( tc_nat @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[34225]) ).
thf(215,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I16_J_0) ).
thf(1028,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(240,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__parts__subset__parts_0) ).
thf(1082,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(3091,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice )
!= ( D @ class_Lattices_Obounded__lattice ) )
| ~ $true
| ( D @ ( C @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
inference(paramod_ordered,[status(thm)],[3090,582]) ).
thf(3092,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice )
!= ( D @ class_Lattices_Obounded__lattice ) )
| ( D @ ( C @ tc_fun ) @ class_Lattices_Obounded__lattice ) ),
inference(simp,[status(thm)],[3091]) ).
thf(3093,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ),
inference(pattern_uni,[status(thm)],[3092:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tc_bool @ ( G @ tc_fun ) @ ( E @ tc_fun ) ))]]) ).
thf(3094,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Obounded__lattice ),
inference(simp,[status(thm)],[3093]) ).
thf(410,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I4_J_0) ).
thf(1461,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[410]) ).
thf(10,negated_conjecture,
( ( v_A != c_Message_Oagent_OSpy )
| ( v_B != v_Ba )
| ( ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) )
!= v_Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
thf(537,plain,
( ( v_A != c_Message_Oagent_OSpy )
| ( v_B != v_Ba )
| ( ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) )
!= v_Xa ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(157,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
thf(901,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(69,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
thf(686,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(236,axiom,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__into__used_0) ).
thf(1075,plain,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(210,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( D @ ( F @ ( E @ ( A @ c_Set_Oimage ) ) ) @ c_lessequals ) ) )
| ~ ( F @ ( E @ ( B @ c_in ) ) )
| ( D @ ( C @ ( B @ ( A @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
thf(1016,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( D @ ( F @ ( E @ ( A @ c_Set_Oimage ) ) ) @ c_lessequals ) ) )
| ~ ( F @ ( E @ ( B @ c_in ) ) )
| ( D @ ( C @ ( B @ ( A @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(66,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( E @ ( A @ c_Set_Oimage ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__mono_0) ).
thf(679,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( E @ ( A @ c_Set_Oimage ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(190,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C
= ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash ) )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__eq__MPair_0) ).
thf(970,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C
= ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash ) )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(1451,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(lifteq,[status(thm)],[1450]) ).
thf(54,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__least_0) ).
thf(654,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(506,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OAgent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I11_J_0) ).
thf(1668,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[506]) ).
thf(452,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Key_0) ).
thf(1552,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[452]) ).
thf(4477,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ c_Message_OinvKey @ c_Message_OinvKey )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) )
| ( tc_nat != tc_Message_Oagent )
| ( c_Message_OsymKeys != c_Event_Obad )
| ( A != c_Message_Oagent_OSpy ) ),
inference(paramod_ordered,[status(thm)],[678,2495]) ).
thf(4480,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( c_Message_Oagent_OSpy @ c_Message_OinvKey ) )
| ( tc_nat != tc_Message_Oagent )
| ( c_Message_OsymKeys != c_Event_Obad ) ),
inference(simp,[status(thm)],[4477]) ).
thf(4482,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( c_Message_Oagent_OSpy @ c_Message_OinvKey ) )
| ( tc_nat != tc_Message_Oagent )
| ( c_Message_OsymKeys != c_Event_Obad ) ),
inference(simp,[status(thm)],[4480]) ).
thf(195,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Nonce_0) ).
thf(984,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(80,axiom,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_2) ).
thf(721,plain,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(527,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__in__used_0) ).
thf(1715,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[527]) ).
thf(778,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ c_Message_Omsg_OHash @ A )
= B ),
inference(detectInverse,[status(thm)],[777]) ).
thf(779,plain,
! [A: $i] :
( ( A @ c_Message_Omsg_OHash @ sk9 )
= A ),
inference(cnf,[status(esa)],[778]) ).
thf(1979,plain,
! [A: $i] :
( ( A @ c_Message_Omsg_OHash @ sk9 )
= A ),
inference(lifteq,[status(thm)],[779]) ).
thf(128,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) )
| ( ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) )
= ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).
thf(837,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) )
| ( ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) )
= ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(233,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__in__knows_0) ).
thf(1071,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(7338,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1071,549]) ).
thf(7339,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[7338]) ).
thf(7350,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( B @ ( A @ c_Event_Oknows ) )
!= c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_B ) ),
inference(simp,[status(thm)],[7339]) ).
thf(1816,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(paramod_ordered,[status(thm)],[841,1800]) ).
thf(1825,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(simp,[status(thm)],[1816]) ).
thf(253,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( C @ ( A @ ( D @ c_in ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
thf(1114,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( C @ ( A @ ( D @ c_in ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(646,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[645]) ).
thf(647,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(lifteq,[status(thm)],[646]) ).
thf(202,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__trans_0) ).
thf(997,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( C @ c_lessequals ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(467,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( C @ ( B @ ( D @ c_List_Olist_OCons ) ) @ c_List_Oset ) @ ( A @ c_in ) ) )
| ( A = D )
| ( C @ ( C @ ( B @ c_List_Oset ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__ConsD_0) ).
thf(1588,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( C @ ( B @ ( D @ c_List_Olist_OCons ) ) @ c_List_Oset ) @ ( A @ c_in ) ) )
| ( A = D )
| ( C @ ( C @ ( B @ c_List_Oset ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[467]) ).
thf(5019,plain,
! [B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[827,552]) ).
thf(5020,plain,
! [B: $i,A: $i] :
( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[5019]) ).
thf(5033,plain,
! [B: $i,A: $i] :
( ( B != tc_Message_Omsg )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( A
!= ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) ) ) ),
inference(simp,[status(thm)],[5020]) ).
thf(5046,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[5033]) ).
thf(11578,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(paramod_ordered,[status(thm)],[11511,5046]) ).
thf(11606,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[11578]) ).
thf(407,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Un_0) ).
thf(1456,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[407]) ).
thf(374,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertI1_0) ).
thf(1382,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(2130,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ~ ( tc_Message_Omsg @ ( A @ c_Message_Oparts @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[1704,552]) ).
thf(2153,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ~ ( tc_Message_Omsg @ ( A @ c_Message_Oparts @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[2130]) ).
thf(303,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( C @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
thf(1231,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( C @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
thf(569,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(395,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OAgent ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I1_J_0) ).
thf(1429,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OAgent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).
thf(473,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) )
| ~ ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__empty_0) ).
thf(1599,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_in ) ) )
| ~ ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[473]) ).
thf(310,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).
thf(1246,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(36,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
thf(605,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(1753,plain,
( ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,552]) ).
thf(1754,plain,
( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) ),
inference(simp,[status(thm)],[1753]) ).
thf(1759,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_evsf ) ),
inference(simp,[status(thm)],[1754]) ).
thf(27120,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( E @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( D @ c_Message_Omsg_OHash @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,951]) ).
thf(27121,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( E @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( D @ c_Message_Omsg_OHash @ c_in ) ) ) ),
inference(simp,[status(thm)],[27120]) ).
thf(27141,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C != tc_Message_Omsg )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_Message_Omsg @ ( tc_nat @ ( E @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) )
| ( A
!= ( D @ c_Message_Omsg_OHash ) ) ),
inference(simp,[status(thm)],[27121]) ).
thf(27153,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) )
!= ( tc_Message_Omsg @ ( tc_nat @ ( C @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) ),
inference(simp,[status(thm)],[27141]) ).
thf(349,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OHash ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I32_J_0) ).
thf(1331,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(1332,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(polarity_switch,[status(thm)],[1331]) ).
thf(1333,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OHash ) ),
inference(lifteq,[status(thm)],[1332]) ).
thf(396,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_NS__Shared__Mirabelle_OIssues ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__authenticates__and__keydist__to__B_0) ).
thf(1434,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_NS__Shared__Mirabelle_OIssues ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).
thf(242,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = F )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
thf(1086,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = F )
| ( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( F @ ( E @ ( D @ c_Event_Oevent_OSays ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(115,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).
thf(805,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(42759,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Event_Obad @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5615,41885]) ).
thf(42760,plain,
! [A: $i] :
( ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Event_Obad @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[42759]) ).
thf(42875,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ c_Orderings_Otop__class_Otop ) )
| ( A != c_Event_Obad ) ),
inference(simp,[status(thm)],[42760]) ).
thf(42956,plain,
( ( ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[42875]) ).
thf(436,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
thf(1513,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[436]) ).
thf(1514,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(polarity_switch,[status(thm)],[1513]) ).
thf(1515,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(lifteq,[status(thm)],[1514]) ).
thf(214,axiom,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) )
| ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_Message_OinvKey @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_1) ).
thf(1026,plain,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) )
| ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_Message_OinvKey @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(481,axiom,
! [A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_OinvKey )
= ( A @ ( c_Public_OshrK @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
thf(1616,plain,
! [A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_OinvKey )
= ( A @ ( c_Public_OshrK @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[481]) ).
thf(1731,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(polarity_switch,[status(thm)],[1730]) ).
thf(1732,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(lifteq,[status(thm)],[1731]) ).
thf(35473,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts )
!= ( A @ c_Message_Oparts ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[30391,35339]) ).
thf(35474,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ),
inference(pattern_uni,[status(thm)],[35473:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ))]]) ).
thf(35765,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ),
inference(rewrite,[status(thm)],[35474,29106]) ).
thf(47,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_OinvKey )
!= ( B @ c_Message_OinvKey ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
thf(633,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_OinvKey )
!= ( B @ c_Message_OinvKey ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(457,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( D @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( E @ ( A @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS2_0) ).
thf(1563,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( D @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OServer @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( E @ ( A @ c_Message_Omsg_OAgent @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[457]) ).
thf(56,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
thf(657,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(225,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( D @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( A @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ ( C @ ( B @ ( A @ v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 ) ) ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS3_0) ).
thf(1054,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( D @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( A @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ ( C @ ( B @ ( A @ v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 ) ) ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(328,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OCrypt ) @ ( B @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( A
= ( B @ ( c_Public_OshrK @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_2) ).
thf(1286,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OCrypt ) @ ( B @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( A
= ( B @ ( c_Public_OshrK @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(218,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I49_J_0) ).
thf(1035,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(63,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).
thf(674,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(102,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_0) ).
thf(773,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(59,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
thf(662,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(79,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).
thf(716,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(717,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
inference(cnf,[status(esa)],[716]) ).
thf(718,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ) ),
inference(lifteq,[status(thm)],[717]) ).
thf(151,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
= ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
thf(888,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( A
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
= ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(324,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__neq__HPair_0) ).
thf(1278,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(263,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__synth__eq_1) ).
thf(1135,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(268,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_0) ).
thf(1146,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(511,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( A @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Notes_0) ).
thf(1680,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( A @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[511]) ).
thf(2277,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1319,549]) ).
thf(2278,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[2277]) ).
thf(2283,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( B @ c_Message_Osynth )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_OAgent )
!= v_B ) ),
inference(simp,[status(thm)],[2278]) ).
thf(29487,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth )
!= ( B @ c_Message_Osynth ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_OAgent )
!= v_B ) ),
inference(paramod_ordered,[status(thm)],[29106,2283]) ).
thf(29488,plain,
! [A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_OAgent )
!= v_B ) ),
inference(pattern_uni,[status(thm)],[29487:[bind(A,$thf( A )),bind(B,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ))]]) ).
thf(421,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert_0) ).
thf(1483,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[421]) ).
thf(322,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_0) ).
thf(1273,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(136,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OHash ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I47_J_0) ).
thf(854,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OHash ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(855,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OHash ) ),
inference(polarity_switch,[status(thm)],[854]) ).
thf(856,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OHash ) ),
inference(lifteq,[status(thm)],[855]) ).
thf(334,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__parts__not__analz_0) ).
thf(1301,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(70,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__neq__HPair_0) ).
thf(689,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(94,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
thf(750,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(533,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( B @ ( c_Public_OshrK @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__injective_0) ).
thf(1727,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( B @ ( c_Public_OshrK @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[533]) ).
thf(434,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ hAPP ) @ hBOOL )
| ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_0) ).
thf(1510,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ hAPP ) @ hBOOL )
| ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[434]) ).
thf(2086,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(paramod_ordered,[status(thm)],[1692,1797]) ).
thf(2088,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(simp,[status(thm)],[2086]) ).
thf(11563,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( A @ c_Message_Osynth ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(paramod_ordered,[status(thm)],[11511,2088]) ).
thf(11624,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= A )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(simp,[status(thm)],[11563]) ).
thf(11638,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(simp,[status(thm)],[11624]) ).
thf(519,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__image__eq_1) ).
thf(1698,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[519]) ).
thf(297,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).
thf(1219,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(123,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) )
!= ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
thf(824,plain,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) )
!= ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(1894,plain,
! [A: $i] :
( ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,1010]) ).
thf(1895,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(simp,[status(thm)],[1894]) ).
thf(1904,plain,
! [A: $i] :
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts ) )
| ( v_Xa != A ) ),
inference(simp,[status(thm)],[1895]) ).
thf(1909,plain,
( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[1904]) ).
thf(1927,plain,
( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(rewrite,[status(thm)],[1909,1298]) ).
thf(488,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__subset_0) ).
thf(1631,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[488]) ).
thf(85,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
thf(732,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(733,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(cnf,[status(esa)],[732]) ).
thf(2468,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
!= ( B @ c_Message_Oanalz ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( B @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[1566,1370]) ).
thf(2469,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[2468:[bind(A,$thf( C )),bind(B,$thf( C @ c_Message_Oanalz ))]]) ).
thf(2471,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(simp,[status(thm)],[2469]) ).
thf(3539,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
!= ( B @ c_Message_Oanalz ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( B @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[1566,2471]) ).
thf(3540,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[3539:[bind(A,$thf( C )),bind(B,$thf( C @ c_Message_Oanalz ))]]) ).
thf(3543,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(simp,[status(thm)],[3540]) ).
thf(4542,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(rewrite,[status(thm)],[3543,1566]) ).
thf(11570,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( A @ c_Message_Oanalz ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[11511,4542]) ).
thf(11571,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz @ c_lessequals ) ),
inference(pattern_uni,[status(thm)],[11570:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth ))]]) ).
thf(11805,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_lessequals ) ),
inference(rewrite,[status(thm)],[11571,11511]) ).
thf(121,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__cut_0) ).
thf(819,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(3634,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Olattice )
!= ( B @ class_Lattices_Olattice ) )
| ~ $true
| ( B @ ( A @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(paramod_ordered,[status(thm)],[562,591]) ).
thf(3635,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Olattice )
!= ( B @ class_Lattices_Olattice ) )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(simp,[status(thm)],[3634]) ).
thf(3636,plain,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ class_Lattices_Olattice ),
inference(pattern_uni,[status(thm)],[3635:[bind(A,$thf( A )),bind(B,$thf( tc_bool ))]]) ).
thf(3658,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( C @ class_Lattices_Olattice ) )
| ~ $true
| ( C @ ( B @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(paramod_ordered,[status(thm)],[3636,591]) ).
thf(3659,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( C @ class_Lattices_Olattice ) )
| ( C @ ( B @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(simp,[status(thm)],[3658]) ).
thf(3660,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice ),
inference(pattern_uni,[status(thm)],[3659:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( tc_bool @ ( D @ tc_fun ) ))]]) ).
thf(3677,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice ),
inference(simp,[status(thm)],[3660]) ).
thf(3722,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( D @ class_Lattices_Olattice ) )
| ~ $true
| ( D @ ( C @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(paramod_ordered,[status(thm)],[3677,591]) ).
thf(3723,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( D @ class_Lattices_Olattice ) )
| ( D @ ( C @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(simp,[status(thm)],[3722]) ).
thf(3724,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice ),
inference(pattern_uni,[status(thm)],[3723:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tc_bool @ ( G @ tc_fun ) @ ( E @ tc_fun ) ))]]) ).
thf(3741,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice ),
inference(simp,[status(thm)],[3724]) ).
thf(1778,plain,
( ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,552]) ).
thf(1779,plain,
( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) ),
inference(simp,[status(thm)],[1778]) ).
thf(1784,plain,
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz )
!= c_Event_Obad )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= c_Message_Oagent_OSpy ) ),
inference(simp,[status(thm)],[1779]) ).
thf(258,axiom,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
thf(1124,plain,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(1125,plain,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ hAPP ) @ hBOOL ),
inference(polarity_switch,[status(thm)],[1124]) ).
thf(5007,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( D @ c_Event_OinitState @ c_Message_Oparts @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[827,1394]) ).
thf(5008,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( D @ c_Event_OinitState @ c_Message_Oparts @ ( C @ c_Message_Omsg_ONonce @ c_in ) ) ) ),
inference(simp,[status(thm)],[5007]) ).
thf(5042,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B != tc_Message_Omsg )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( D @ c_Event_OinitState @ c_Message_Oparts ) )
| ( A
!= ( C @ c_Message_Omsg_ONonce ) ) ),
inference(simp,[status(thm)],[5008]) ).
thf(5055,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( A @ c_Event_OinitState @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[5042]) ).
thf(30814,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts )
!= ( A @ c_Event_OinitState @ c_Message_Oparts ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(paramod_ordered,[status(thm)],[30391,5055]) ).
thf(30815,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts )
!= ( A @ c_Event_OinitState @ c_Message_Oparts ) ),
inference(simp,[status(thm)],[30814]) ).
thf(30826,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( A @ c_Event_OinitState ) ),
inference(simp,[status(thm)],[30815]) ).
thf(376,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( G @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ ( E @ ( A @ v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 ) ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( D @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__not__see__encrypted__key_0) ).
thf(1388,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( G @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ ( E @ ( A @ v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 ) ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( D @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(270,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__neq__publicKey_0) ).
thf(1152,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(1153,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ),
inference(polarity_switch,[status(thm)],[1152]) ).
thf(1154,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ),
inference(lifteq,[status(thm)],[1153]) ).
thf(974,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(polarity_switch,[status(thm)],[973]) ).
thf(975,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(lifteq,[status(thm)],[974]) ).
thf(206,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( E @ ( F @ ( C @ v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1 ) ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS4_0) ).
thf(1007,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( E @ ( F @ ( C @ v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1 ) ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(409,axiom,
! [A: $i] :
( ( A @ c_Message_Oanalz @ c_Message_Oparts )
= ( A @ c_Message_Oparts ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__analz_0) ).
thf(1459,plain,
! [A: $i] :
( ( A @ c_Message_Oanalz @ c_Message_Oparts )
= ( A @ c_Message_Oparts ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[409]) ).
thf(1460,plain,
! [A: $i] :
( ( A @ c_Message_Oanalz @ c_Message_Oparts )
= ( A @ c_Message_Oparts ) ),
inference(lifteq,[status(thm)],[1459]) ).
thf(35495,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oparts )
!= ( B @ c_Message_Oparts ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[1460,35339]) ).
thf(35496,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ c_Message_Osynth @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[35495:[bind(A,$thf( C )),bind(B,$thf( C @ c_Message_Oanalz ))]]) ).
thf(35576,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ c_Message_Osynth @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ),
inference(simp,[status(thm)],[35496]) ).
thf(3927,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( D @ class_Lattices_Olattice ) )
| ~ $true
| ( D @ ( C @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(paramod_ordered,[status(thm)],[3699,591]) ).
thf(3928,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( D @ class_Lattices_Olattice ) )
| ( D @ ( C @ tc_fun ) @ class_Lattices_Olattice ) ),
inference(simp,[status(thm)],[3927]) ).
thf(3929,plain,
! [C: $i,B: $i,A: $i] : ( tc_nat @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice ),
inference(pattern_uni,[status(thm)],[3928:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tc_nat @ ( G @ tc_fun ) @ ( E @ tc_fun ) ))]]) ).
thf(3945,plain,
! [C: $i,B: $i,A: $i] : ( tc_nat @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice ),
inference(simp,[status(thm)],[3929]) ).
thf(11849,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_Message_Omsg @ ( tc_nat @ ( E @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( D @ c_Message_Omsg_ONonce )
!= v_Xa ) ),
inference(paramod_ordered,[status(thm)],[618,3125]) ).
thf(11850,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Omsg_ONonce )
!= v_Xa ) ),
inference(pattern_uni,[status(thm)],[11849:[bind(A,$thf( c_Message_Omsg_OKey )),bind(B,$thf( tc_nat )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( D )),bind(E,$thf( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ))]]) ).
thf(11851,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Omsg_ONonce )
!= v_Xa ) ),
inference(simp,[status(thm)],[11850]) ).
thf(5015,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) )
| ( ( C @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[827,2153]) ).
thf(5016,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) )
| ( ( C @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[5015]) ).
thf(5037,plain,
! [C: $i,B: $i,A: $i] :
( ( B != tc_Message_Omsg )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( C @ c_Message_Oparts ) )
| ( A
!= ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) ) )
| ( ( C @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[5016]) ).
thf(5050,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( A @ c_Message_Oparts ) )
| ( ( A @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[5037]) ).
thf(444,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__neq__priK_0) ).
thf(1535,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[444]) ).
thf(45825,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( A @ c_Message_Osynth @ c_Message_Oanalz ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(paramod_ordered,[status(thm)],[11511,45715]) ).
thf(45826,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(pattern_uni,[status(thm)],[45825:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ))]]) ).
thf(315,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I35_J_0) ).
thf(1256,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(301,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( F @ ( A @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Oops__parts__spies_0) ).
thf(1226,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( F @ ( A @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(423,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__synth__analz_1) ).
thf(1488,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[423]) ).
thf(2156,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ c_Message_Osynth ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(paramod_ordered,[status(thm)],[841,2099]) ).
thf(2161,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ c_Message_Osynth ) )
| ( ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[2156]) ).
thf(265,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( D @ ( C @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash ) )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__eq__HPair_0) ).
thf(1139,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( D @ ( C @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash ) )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(3111,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,1555]) ).
thf(3112,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) ),
inference(simp,[status(thm)],[3111]) ).
thf(3118,plain,
! [B: $i,A: $i] :
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Omsg )
| ( ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) )
!= c_NS__Shared__Mirabelle_Ons__shared )
| ( ( A @ c_Message_Omsg_ONonce )
!= v_evsf ) ),
inference(simp,[status(thm)],[3112]) ).
thf(523,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Agent_0) ).
thf(1707,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[523]) ).
thf(1311,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
inference(polarity_switch,[status(thm)],[1310]) ).
thf(1312,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ c_Message_Omsg_OAgent ) ),
inference(lifteq,[status(thm)],[1311]) ).
thf(78,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
thf(713,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(14922,plain,
! [C: $i,B: $i,A: $i] :
( ( A != c_Message_Oagent_OSpy )
| ( B != v_A )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( B @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[685,1787]) ).
thf(14923,plain,
! [B: $i,A: $i] :
( ( A != v_A )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) )
| ~ ( tc_bool @ ( B @ tc_fun ) @ ( c_Message_Oagent_OSpy @ ( A @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[14922:[bind(A,$thf( c_Message_Oagent_OSpy ))]]) ).
thf(21859,plain,
! [A: $i] :
( ~ ( tc_bool @ ( A @ tc_fun ) @ ( v_A @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) )
| ~ ( tc_bool @ ( A @ tc_fun ) @ ( c_Message_Oagent_OSpy @ ( v_A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[14923]) ).
thf(1092,plain,
! [C: $i,B: $i,A: $i] :
~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( C @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ),
inference(polarity_switch,[status(thm)],[1091]) ).
thf(32344,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( B @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( B @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4520,23275]) ).
thf(32345,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( B @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( B @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32344]) ).
thf(32365,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) )
!= tc_nat )
| ( A != v_B )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= c_Message_Oagent_OSpy )
| ( ( tc_bool @ ( B @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32345]) ).
thf(32413,plain,
! [A: $i] :
( ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= c_Message_Oagent_OSpy )
| ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32365]) ).
thf(300,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
thf(1224,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(2124,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oparts @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(paramod_ordered,[status(thm)],[1704,1800]) ).
thf(2148,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oparts @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(simp,[status(thm)],[2124]) ).
thf(9,negated_conjecture,
( ~ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( v_X @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( v_B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
thf(540,plain,
( ~ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( v_X @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( v_B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( v_NA @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(62,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI2_0) ).
thf(672,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(321,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
thf(1271,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(369,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) )
| ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_0) ).
thf(1371,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) )
| ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(108,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
thf(787,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(490,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) )
| ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).
thf(1635,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ c_in ) ) )
| ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[490]) ).
thf(535,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( B @ c_Message_Oanalz ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
thf(1733,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( B @ c_Message_Oanalz ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[535]) ).
thf(227,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__inject_1) ).
thf(1058,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(250,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( C @ ( B @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Notes_0) ).
thf(1107,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( C @ ( B @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(1257,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
inference(polarity_switch,[status(thm)],[1256]) ).
thf(1258,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_ONonce ) ),
inference(lifteq,[status(thm)],[1257]) ).
thf(75,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
= ( A @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oimage ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
thf(703,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
= ( A @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oimage ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(704,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(lifteq,[status(thm)],[703]) ).
thf(35,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI_0) ).
thf(603,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(604,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[603]) ).
thf(286,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__sing_0) ).
thf(1194,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(36116,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oparts )
!= ( A @ c_Message_Oparts ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[12731,35568]) ).
thf(36117,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oparts @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_lessequals ) ),
inference(pattern_uni,[status(thm)],[36116:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth ))]]) ).
thf(43545,plain,
tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Osynth @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_lessequals ) ),
inference(rewrite,[status(thm)],[36117,12731]) ).
thf(783,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= C )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[782]) ).
thf(784,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= C ) ),
inference(lifteq,[status(thm)],[783]) ).
thf(208,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__mp_0) ).
thf(1011,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( D @ ( A @ c_in ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(735,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= B ) ),
inference(cnf,[status(esa)],[734]) ).
thf(736,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= B ) ),
inference(lifteq,[status(thm)],[735]) ).
thf(357,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( D @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).
thf(1349,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( D @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(198,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Event_Oknows ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__knows__A_0) ).
thf(990,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Event_Oknows ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(87,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I65_J_0) ).
thf(737,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(639,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
inference(cnf,[status(esa)],[638]) ).
thf(640,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ) ),
inference(lifteq,[status(thm)],[639]) ).
thf(641,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Event_Oevent_ONotes ) @ ( B @ A ) )
= C ),
inference(detectInverse,[status(thm)],[640]) ).
thf(642,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) @ ( A @ sk3 ) )
= B ),
inference(cnf,[status(esa)],[641]) ).
thf(6289,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) @ ( A @ sk3 ) )
= B ),
inference(lifteq,[status(thm)],[642]) ).
thf(337,axiom,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I12_J_0) ).
thf(1307,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(140,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
thf(863,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(385,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OHash @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__synth_0) ).
thf(1408,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OHash @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(425,axiom,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__iff_0) ).
thf(1492,plain,
! [B: $i,A: $i] :
~ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[425]) ).
thf(475,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Says_0) ).
thf(1603,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[475]) ).
thf(42867,plain,
! [A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Event_Obad @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4520,41885]) ).
thf(42868,plain,
! [A: $i] :
( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Event_Obad @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[42867]) ).
thf(42897,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) )
!= tc_nat )
| ( A
!= ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= c_Event_Obad ) ),
inference(simp,[status(thm)],[42868]) ).
thf(42925,plain,
( ( ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= c_Event_Obad ) ),
inference(simp,[status(thm)],[42897]) ).
thf(447,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( D @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( D @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut_0) ).
thf(1542,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( D @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oparts @ ( D @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[447]) ).
thf(531,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz ) )
| ( ( A @ c_Message_Oanalz )
!= ( B @ c_Message_Oanalz ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__cong_0) ).
thf(1722,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz ) )
| ( ( A @ c_Message_Oanalz )
!= ( B @ c_Message_Oanalz ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[531]) ).
thf(5013,plain,
! [B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[827,551]) ).
thf(5014,plain,
! [B: $i,A: $i] :
( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[5013]) ).
thf(5041,plain,
! [B: $i,A: $i] :
( ( B != tc_Event_Oevent )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) ) )
| ( A
!= ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) ) ) ),
inference(simp,[status(thm)],[5014]) ).
thf(5054,plain,
( ( tc_bool @ ( tc_Event_Oevent @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) ) ),
inference(simp,[status(thm)],[5041]) ).
thf(51,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__least_0) ).
thf(648,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(649,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[648]) ).
thf(220,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__sing__imp__Un_0) ).
thf(1043,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(615,plain,
! [C: $i,B: $i,A: $i] :
( ( B
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(cnf,[status(esa)],[614]) ).
thf(616,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ class_Lattices_Obounded__lattice )
| ( B
= ( A @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( A @ c_Orderings_Obot__class_Obot ) ) ),
inference(lifteq,[status(thm)],[615]) ).
thf(32867,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Otop__class_Otop @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_nat @ ( c_Message_Oagent_OSpy @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( ( tc_bool @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(paramod_ordered,[status(thm)],[5426,32400]) ).
thf(32886,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_nat != tc_bool )
| ( A != c_Message_Oagent_OSpy )
| ( ( tc_bool @ c_Orderings_Otop__class_Otop )
!= B )
| ( ( tc_bool @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32867]) ).
thf(32983,plain,
! [A: $i] :
( ( tc_nat != tc_bool )
| ( ( tc_bool @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32886]) ).
thf(239,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert2_0) ).
thf(1080,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Message_Oparts @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(758,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oimage ) ) ) )
= ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( E @ ( A @ c_Set_Oimage ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(lifteq,[status(thm)],[757]) ).
thf(1629,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) ) ),
inference(polarity_switch,[status(thm)],[1628]) ).
thf(1630,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) )
!= ( C @ ( B @ c_Public_OpublicKey @ hAPP ) ) ),
inference(lifteq,[status(thm)],[1629]) ).
thf(154,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( G @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_0) ).
thf(895,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( G @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OCrypt ) @ ( C @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(176,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__used_1) ).
thf(943,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( C @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(1687,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(polarity_switch,[status(thm)],[1686]) ).
thf(1688,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(lifteq,[status(thm)],[1687]) ).
thf(624,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Event_Oevent_OGets ) @ ( B @ A ) )
= C ),
inference(detectInverse,[status(thm)],[623]) ).
thf(625,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) @ ( A @ sk1 ) )
= B ),
inference(cnf,[status(esa)],[624]) ).
thf(5202,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) @ ( A @ sk1 ) )
= B ),
inference(lifteq,[status(thm)],[625]) ).
thf(112,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I8_J_0) ).
thf(799,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(1384,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
inference(cnf,[status(esa)],[1383]) ).
thf(1385,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OCrypt ) ) ) ),
inference(lifteq,[status(thm)],[1384]) ).
thf(1386,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_Omsg_OCrypt ) @ ( B @ A ) )
= C ),
inference(detectInverse,[status(thm)],[1385]) ).
thf(1387,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) @ ( A @ sk16 ) )
= B ),
inference(cnf,[status(esa)],[1386]) ).
thf(7892,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) @ ( A @ sk16 ) )
= B ),
inference(lifteq,[status(thm)],[1387]) ).
thf(82,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
thf(726,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(28660,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_lessequals ) ) ) )
| ~ $true
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(paramod_ordered,[status(thm)],[1370,729]) ).
thf(28661,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= C ) ),
inference(simp,[status(thm)],[28660]) ).
thf(28662,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[28661:[bind(A,$thf( E )),bind(B,$thf( E )),bind(C,$thf( E @ c_Message_Oanalz )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(29034,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[28662]) ).
thf(847,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ),
inference(polarity_switch,[status(thm)],[846]) ).
thf(848,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_OHPair ) ) ),
inference(lifteq,[status(thm)],[847]) ).
thf(346,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).
thf(1325,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(269,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( D @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( A
= ( D @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
thf(1149,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( E @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( D @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( A
= ( D @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(187,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
thf(964,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( D @ ( C @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(454,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_5) ).
thf(1556,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[454]) ).
thf(11528,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( A @ c_Message_Osynth ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(paramod_ordered,[status(thm)],[11511,2090]) ).
thf(11598,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= A )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(simp,[status(thm)],[11528]) ).
thf(11630,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(simp,[status(thm)],[11598]) ).
thf(2303,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,1394]) ).
thf(2304,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[2303]) ).
thf(2317,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( ( B @ c_Event_OinitState @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Omsg_ONonce )
!= v_Xa ) ),
inference(simp,[status(thm)],[2304]) ).
thf(2329,plain,
! [B: $i,A: $i] :
( ( ( B @ c_Event_OinitState @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( A @ c_Message_Omsg_ONonce )
!= v_Xa ) ),
inference(simp,[status(thm)],[2317]) ).
thf(171,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ ( B @ c_Message_Osko__Message__Xparts__insert__eq__I__1__1 ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__eq__I_0) ).
thf(932,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ ( B @ c_Message_Osko__Message__Xparts__insert__eq__I__1__1 ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(228,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_OHPair ) )
= ( B @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_Message_Omsg_OMPair ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__def_0) ).
thf(1061,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_OHPair ) )
= ( B @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_Message_Omsg_OMPair ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(1197,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(polarity_switch,[status(thm)],[1196]) ).
thf(1198,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( c_Message_Omsg_OKey @ hAPP ) )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(lifteq,[status(thm)],[1197]) ).
thf(470,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__analzD_0) ).
thf(1594,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[470]) ).
thf(149,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__inject_0) ).
thf(883,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) )
!= ( D @ ( C @ c_Public_OpublicKey @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(43223,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5615,41515]) ).
thf(43224,plain,
! [A: $i] :
( ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[43223]) ).
thf(43365,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ c_Orderings_Otop__class_Otop ) )
| ( A
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[43224]) ).
thf(43434,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[43365]) ).
thf(1495,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(polarity_switch,[status(thm)],[1494]) ).
thf(1496,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_Omsg_OCrypt ) ) ),
inference(lifteq,[status(thm)],[1495]) ).
thf(982,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_ONotes ) ) ),
inference(polarity_switch,[status(thm)],[981]) ).
thf(983,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_ONotes ) ) ),
inference(lifteq,[status(thm)],[982]) ).
thf(2065,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oanalz @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(paramod_ordered,[status(thm)],[1566,1798]) ).
thf(2075,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oanalz @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(simp,[status(thm)],[2065]) ).
thf(2960,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Olattice )
!= ( B @ class_Lattices_Olattice ) )
| ~ $true
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(paramod_ordered,[status(thm)],[562,580]) ).
thf(2961,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Olattice )
!= ( B @ class_Lattices_Olattice ) )
| ( B @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(simp,[status(thm)],[2960]) ).
thf(2962,plain,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ),
inference(pattern_uni,[status(thm)],[2961:[bind(A,$thf( A )),bind(B,$thf( tc_bool ))]]) ).
thf(294,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__synth__eq_0) ).
thf(1213,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(142,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( D @ ( B @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
thf(868,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( D @ ( B @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(494,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) @ c_List_Oset ) )
= ( C @ ( C @ ( B @ c_List_Oset ) @ ( A @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
thf(1643,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) @ c_List_Oset ) )
= ( C @ ( C @ ( B @ c_List_Oset ) @ ( A @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[494]) ).
thf(104,axiom,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
thf(780,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(47971,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1652,42012]) ).
thf(47972,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[47971]) ).
thf(48069,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[47972]) ).
thf(48133,plain,
! [A: $i] :
( ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[48069]) ).
thf(280,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I61_J_0) ).
thf(1176,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(27090,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,1549]) ).
thf(27091,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) ),
inference(simp,[status(thm)],[27090]) ).
thf(27146,plain,
! [C: $i,B: $i,A: $i] :
( ( C != tc_Message_Oagent )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= c_Event_Obad )
| ( A != c_Message_Oagent_OServer ) ),
inference(simp,[status(thm)],[27091]) ).
thf(27159,plain,
! [A: $i] :
( ( tc_Message_Oagent @ ( A @ ( c_Message_Oagent_OServer @ c_Set_Oinsert ) ) )
!= c_Event_Obad ),
inference(simp,[status(thm)],[27146]) ).
thf(196,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( C @ c_Event_Oused ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Gets_0) ).
thf(986,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( C @ c_Event_Oused ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(1112,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
inference(polarity_switch,[status(thm)],[1111]) ).
thf(1113,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
inference(lifteq,[status(thm)],[1112]) ).
thf(365,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__iff_1) ).
thf(1364,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(312,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( F @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_0) ).
thf(1250,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( F @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(7340,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( D @ ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1071,960]) ).
thf(7341,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( D @ ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( C @ c_in ) ) ) ),
inference(simp,[status(thm)],[7340]) ).
thf(7342,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg != D )
| ( ( B @ ( A @ c_Event_Oknows ) )
!= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= C ) ),
inference(simp,[status(thm)],[7341]) ).
thf(7356,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oknows ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[7342]) ).
thf(719,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Event_Oevent_OGets ) @ ( C @ A ) )
= B ),
inference(detectInverse,[status(thm)],[718]) ).
thf(720,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) @ ( B @ sk6 ) )
= A ),
inference(cnf,[status(esa)],[719]) ).
thf(7458,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) @ ( B @ sk6 ) )
= A ),
inference(lifteq,[status(thm)],[720]) ).
thf(4196,plain,
! [A: $i] :
( ( ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1464,549]) ).
thf(4197,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[4196]) ).
thf(4209,plain,
! [A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Event_OinitState )
!= c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_B ) ),
inference(simp,[status(thm)],[4197]) ).
thf(2062,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ~ ( tc_Message_Omsg @ ( A @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[1566,552]) ).
thf(2069,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ~ ( tc_Message_Omsg @ ( A @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[2062]) ).
thf(658,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( tc_bool @ ( C @ tc_fun ) @ ( A @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[657]) ).
thf(486,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lemma1_0) ).
thf(1626,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[486]) ).
thf(711,plain,
? [A: $i > $i > $i > $i] :
! [B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ c_List_Olist_OCons ) ) @ ( D @ ( C @ A ) ) )
= B ),
inference(detectInverse,[status(thm)],[710]) ).
thf(712,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) @ ( C @ ( B @ sk5 ) ) )
= A ),
inference(cnf,[status(esa)],[711]) ).
thf(27065,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) @ ( C @ ( B @ sk5 ) ) )
= A ),
inference(lifteq,[status(thm)],[712]) ).
thf(675,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[674]) ).
thf(503,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
thf(1662,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( B @ c_List_Oset ) @ ( A @ ( C @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[503]) ).
thf(1751,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,546]) ).
thf(1752,plain,
( ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[1751]) ).
thf(1758,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Oagent )
| ( c_NS__Shared__Mirabelle_Ons__shared != c_Event_Obad )
| ( v_evsf != v_A ) ),
inference(simp,[status(thm)],[1752]) ).
thf(413,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS4_0) ).
thf(1467,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[413]) ).
thf(663,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(lifteq,[status(thm)],[662]) ).
thf(168,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__Un__subset2_0) ).
thf(927,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(93,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
thf(748,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(749,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[748]) ).
thf(416,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).
thf(1472,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[416]) ).
thf(388,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_2) ).
thf(1413,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).
thf(237,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( D @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_0) ).
thf(1076,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( D @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(42984,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5615,42431]) ).
thf(42985,plain,
! [A: $i] :
( ( tc_bool @ ( tc_bool @ c_Orderings_Otop__class_Otop @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_NS__Shared__Mirabelle_Ons__shared @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[42984]) ).
thf(43137,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ c_Orderings_Otop__class_Otop ) )
| ( A != c_NS__Shared__Mirabelle_Ons__shared ) ),
inference(simp,[status(thm)],[42985]) ).
thf(43150,plain,
( ( ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ ( tc_Event_Oevent @ tc_List_Olist @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[43137]) ).
thf(680,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( E @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( E @ ( A @ c_Set_Oimage ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[679]) ).
thf(513,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
thf(1684,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[513]) ).
thf(27118,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_nat @ ( c_Message_OsymKeys @ ( E @ ( D @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,887]) ).
thf(27119,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_nat @ ( c_Message_OsymKeys @ ( E @ ( D @ c_Public_OpublicKey @ hAPP ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[27118]) ).
thf(27132,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C != tc_nat )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= c_Message_OsymKeys )
| ( A
!= ( E @ ( D @ c_Public_OpublicKey @ hAPP ) ) ) ),
inference(simp,[status(thm)],[27119]) ).
thf(27164,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_nat @ ( A @ ( C @ ( B @ c_Public_OpublicKey @ hAPP ) @ c_Set_Oinsert ) ) )
!= c_Message_OsymKeys ),
inference(simp,[status(thm)],[27132]) ).
thf(118,axiom,
! [C: $i,B: $i,A: $i] :
( ( A
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).
thf(812,plain,
! [C: $i,B: $i,A: $i] :
( ( A
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(174,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) )
| ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).
thf(939,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) )
| ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(353,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( A @ ( D @ c_Set_Oinsert ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).
thf(1340,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( C @ ( A @ ( D @ c_Set_Oinsert ) ) @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(2100,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Orderings_Obot )
!= ( B @ class_Orderings_Obot ) )
| ~ $true
| ( B @ ( A @ tc_fun ) @ class_Orderings_Obot ) ),
inference(paramod_ordered,[status(thm)],[561,560]) ).
thf(2101,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Orderings_Obot )
!= ( B @ class_Orderings_Obot ) )
| ( B @ ( A @ tc_fun ) @ class_Orderings_Obot ) ),
inference(simp,[status(thm)],[2100]) ).
thf(2102,plain,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ class_Orderings_Obot ),
inference(pattern_uni,[status(thm)],[2101:[bind(A,$thf( A )),bind(B,$thf( tc_bool ))]]) ).
thf(2110,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_Orderings_Obot )
!= ( C @ class_Orderings_Obot ) )
| ~ $true
| ( C @ ( B @ tc_fun ) @ class_Orderings_Obot ) ),
inference(paramod_ordered,[status(thm)],[2102,560]) ).
thf(2111,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_Orderings_Obot )
!= ( C @ class_Orderings_Obot ) )
| ( C @ ( B @ tc_fun ) @ class_Orderings_Obot ) ),
inference(simp,[status(thm)],[2110]) ).
thf(2112,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot ),
inference(pattern_uni,[status(thm)],[2111:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( tc_bool @ ( D @ tc_fun ) ))]]) ).
thf(2113,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot ),
inference(simp,[status(thm)],[2112]) ).
thf(2330,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot )
!= ( D @ class_Orderings_Obot ) )
| ~ $true
| ( D @ ( C @ tc_fun ) @ class_Orderings_Obot ) ),
inference(paramod_ordered,[status(thm)],[2113,560]) ).
thf(2331,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot )
!= ( D @ class_Orderings_Obot ) )
| ( D @ ( C @ tc_fun ) @ class_Orderings_Obot ) ),
inference(simp,[status(thm)],[2330]) ).
thf(2332,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot ),
inference(pattern_uni,[status(thm)],[2331:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tc_bool @ ( G @ tc_fun ) @ ( E @ tc_fun ) ))]]) ).
thf(2333,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Orderings_Obot ),
inference(simp,[status(thm)],[2332]) ).
thf(211,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( B = D )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
thf(1018,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( B = D )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(189,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
thf(968,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(822,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(polarity_switch,[status(thm)],[821]) ).
thf(823,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(lifteq,[status(thm)],[822]) ).
thf(76,axiom,
! [C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).
thf(705,plain,
! [C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(706,plain,
! [C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(cnf,[status(esa)],[705]) ).
thf(707,plain,
! [C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(lifteq,[status(thm)],[706]) ).
thf(496,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I11_J_0) ).
thf(1647,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[496]) ).
thf(88,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
thf(739,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(367,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).
thf(1368,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(319,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).
thf(1267,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(1229,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_OGets ) ) ),
inference(polarity_switch,[status(thm)],[1228]) ).
thf(1230,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) )
!= ( E @ ( D @ c_Event_Oevent_OGets ) ) ),
inference(lifteq,[status(thm)],[1229]) ).
thf(27126,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,549]) ).
thf(27127,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[27126]) ).
thf(27140,plain,
! [C: $i,B: $i,A: $i] :
( ( C != tc_Message_Oagent )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= c_Event_Obad )
| ( A != v_B ) ),
inference(simp,[status(thm)],[27127]) ).
thf(27152,plain,
! [A: $i] :
( ( tc_Message_Oagent @ ( A @ ( v_B @ c_Set_Oinsert ) ) )
!= c_Event_Obad ),
inference(simp,[status(thm)],[27140]) ).
thf(3728,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( D @ class_Lattices_Olattice ) )
| ~ $true
| ( D @ ( C @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(paramod_ordered,[status(thm)],[3677,580]) ).
thf(3729,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( D @ class_Lattices_Olattice ) )
| ( D @ ( C @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(simp,[status(thm)],[3728]) ).
thf(3730,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ),
inference(pattern_uni,[status(thm)],[3729:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tc_bool @ ( G @ tc_fun ) @ ( E @ tc_fun ) ))]]) ).
thf(3737,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ),
inference(simp,[status(thm)],[3730]) ).
thf(1763,plain,
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[542,546]) ).
thf(1764,plain,
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[1763]) ).
thf(1770,plain,
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts )
!= c_Event_Obad )
| ( ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) )
!= v_A ) ),
inference(simp,[status(thm)],[1764]) ).
thf(437,axiom,
! [C: $i,B: $i,A: $i] :
( ( B = c_Message_Oagent_OSpy )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_OGets ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Gets__imp__knows__agents_0) ).
thf(1516,plain,
! [C: $i,B: $i,A: $i] :
( ( B = c_Message_Oagent_OSpy )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_OGets ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[437]) ).
thf(472,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( A @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
thf(1598,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( A @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[472]) ).
thf(232,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Key_0) ).
thf(1069,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(1070,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(lifteq,[status(thm)],[1069]) ).
thf(144,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ ( C @ c_Message_OHPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__synth__analz_1) ).
thf(872,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ ( C @ c_Message_OHPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(479,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_3) ).
thf(1611,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( B @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[479]) ).
thf(2140,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oparts @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(paramod_ordered,[status(thm)],[1704,1797]) ).
thf(2143,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oparts @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(simp,[status(thm)],[2140]) ).
thf(953,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OHash ) ),
inference(polarity_switch,[status(thm)],[952]) ).
thf(954,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( C @ c_Message_Omsg_OHash ) ),
inference(lifteq,[status(thm)],[953]) ).
thf(313,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Notes_0) ).
thf(1252,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Event_Oused @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(4172,plain,
! [A: $i] :
( ( ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1464,1549]) ).
thf(4173,plain,
! [A: $i] :
( ( tc_Message_Omsg @ ( A @ c_Event_OinitState @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) ),
inference(simp,[status(thm)],[4172]) ).
thf(4200,plain,
! [A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Event_OinitState )
!= c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= c_Message_Oagent_OServer ) ),
inference(simp,[status(thm)],[4173]) ).
thf(4493,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_Orderings_Obot )
!= ( B @ class_Orderings_Obot ) )
| ( B @ ( C @ ( B @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2105,611]) ).
thf(4494,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_Orderings_Obot )
!= ( B @ class_Orderings_Obot ) )
| ( B @ ( C @ ( B @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[4493]) ).
thf(4495,plain,
! [B: $i,A: $i] : ( tc_nat @ ( B @ tc_fun ) @ ( A @ ( tc_nat @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[4494:[bind(A,$thf( D )),bind(B,$thf( tc_nat @ ( D @ tc_fun ) )),bind(C,$thf( C ))]]) ).
thf(4522,plain,
! [B: $i,A: $i] : ( tc_nat @ ( B @ tc_fun ) @ ( A @ ( tc_nat @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(simp,[status(thm)],[4495]) ).
thf(673,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[672]) ).
thf(283,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
thf(1186,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(107,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
thf(786,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(47381,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( A @ c_Message_Osynth @ c_Message_Oanalz @ ( B @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[1145,786]) ).
thf(47382,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[47381:[bind(A,$thf( F )),bind(B,$thf( F @ c_Message_Oanalz )),bind(C,$thf( F @ c_Message_Osynth )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(47473,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(simp,[status(thm)],[47382]) ).
thf(27440,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_Message_Omsg @ ( tc_nat @ ( F @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_Message_Omsg @ ( D @ ( E @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[618,27153]) ).
thf(27441,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(pattern_uni,[status(thm)],[27440:[bind(A,$thf( c_Message_Omsg_OKey )),bind(B,$thf( tc_nat )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ))]]) ).
thf(27481,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[27441]) ).
thf(342,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
thf(1317,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(2643,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Oparts @ c_Message_Oparts )
!= ( B @ c_Message_Oparts ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[1057,1439]) ).
thf(2644,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[2643:[bind(A,$thf( C )),bind(B,$thf( C @ c_Message_Oparts ))]]) ).
thf(2650,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(simp,[status(thm)],[2644]) ).
thf(4351,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ),
inference(rewrite,[status(thm)],[2650,1704]) ).
thf(327,axiom,
! [B: $i,A: $i] : ( B @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__iff_1) ).
thf(1285,plain,
! [B: $i,A: $i] : ( B @ ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(525,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__into__used_0) ).
thf(1711,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Event_OinitState @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[525]) ).
thf(1808,plain,
! [A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1074,549]) ).
thf(1809,plain,
! [A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[1808]) ).
thf(1813,plain,
! [A: $i] :
( ( tc_nat != tc_Message_Oagent )
| ( c_Message_OsymKeys != c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) )
!= v_B ) ),
inference(simp,[status(thm)],[1809]) ).
thf(405,axiom,
! [C: $i,B: $i,A: $i] : ( A @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
thf(1452,plain,
! [C: $i,B: $i,A: $i] : ( A @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[405]) ).
thf(491,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
thf(1637,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( C @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[491]) ).
thf(584,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(cnf,[status(esa)],[583]) ).
thf(585,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ class_Lattices_Olattice )
| ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(lifteq,[status(thm)],[584]) ).
thf(241,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Agent_0) ).
thf(1084,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(1085,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( B @ c_Message_OkeysFor ) ),
inference(lifteq,[status(thm)],[1084]) ).
thf(7318,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1071,546]) ).
thf(7319,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Event_Oknows ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[7318]) ).
thf(7351,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( B @ ( A @ c_Event_Oknows ) )
!= c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_A ) ),
inference(simp,[status(thm)],[7319]) ).
thf(1657,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
inference(polarity_switch,[status(thm)],[1656]) ).
thf(1658,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( E @ ( D @ ( C @ c_Event_Oevent_OSays ) ) ) ),
inference(lifteq,[status(thm)],[1657]) ).
thf(445,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( B @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OMPair ) @ ( F @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( F @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( E @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( B @ ( A @ ( C @ ( B @ ( A @ v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1 ) ) @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NS4__implies__NS3_0) ).
thf(1538,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( B @ ( D @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OMPair ) @ ( F @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( F @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( E @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( B @ ( A @ ( C @ ( B @ ( A @ v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1 ) ) @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[445]) ).
thf(116,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_1) ).
thf(808,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( A @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ( A @ ( C @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(351,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_1) ).
thf(1336,plain,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(160,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( H @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( B @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
thf(907,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( H @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( D @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( B @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(383,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).
thf(1404,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( B @ c_Event_Oevent_ONotes ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( B @ c_Event_Oknows ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(743,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) )
| ~ ( A @ class_Lattices_Obounded__lattice ) ),
inference(cnf,[status(esa)],[742]) ).
thf(744,plain,
! [B: $i,A: $i] :
( ~ ( A @ class_Lattices_Obounded__lattice )
| ( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Orderings_Otop__class_Otop ) ) ),
inference(lifteq,[status(thm)],[743]) ).
thf(27100,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,551]) ).
thf(27101,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ) ),
inference(simp,[status(thm)],[27100]) ).
thf(27135,plain,
! [C: $i,B: $i,A: $i] :
( ( C != tc_Event_Oevent )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) ) )
| ( A
!= ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) ) ) ),
inference(simp,[status(thm)],[27101]) ).
thf(27167,plain,
! [A: $i] :
( ( tc_Event_Oevent @ ( A @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_Set_Oinsert ) ) )
!= ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) ) ),
inference(simp,[status(thm)],[27135]) ).
thf(55,axiom,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_1) ).
thf(656,plain,
! [A: $i] : ( tc_bool @ ( A @ tc_fun ) @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(39,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
thf(612,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(613,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( C @ tc_fun ) @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(lifteq,[status(thm)],[612]) ).
thf(2900,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ~ $true
| ( ( A @ ( B @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[575,578]) ).
thf(2901,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ class_Lattices_Oupper__semilattice )
!= ( A @ class_Lattices_Oupper__semilattice ) )
| ( ( A @ ( B @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(simp,[status(thm)],[2900]) ).
thf(2902,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(pattern_uni,[status(thm)],[2901:[bind(A,$thf( tc_bool ))]]) ).
thf(2919,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(simp,[status(thm)],[2902]) ).
thf(5612,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_bool @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( tc_bool @ ( A @ ( B @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[2919,4455]) ).
thf(5613,plain,
! [A: $i] : ( tc_bool @ ( A @ ( A @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[5612:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(298,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
thf(1221,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(599,plain,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(polarity_switch,[status(thm)],[598]) ).
thf(600,plain,
! [A: $i] :
( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(lifteq,[status(thm)],[599]) ).
thf(394,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( B @ c_in ) ) )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
thf(1427,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( B @ c_in ) ) )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).
thf(193,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Set_Oinsert ) ) @ ( A @ ( B @ c_Message_Osko__Message__Xparts__insert__eq__I__1__1 ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__eq__I_1) ).
thf(978,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Set_Oinsert ) ) @ ( A @ ( B @ c_Message_Osko__Message__Xparts__insert__eq__I__1__1 ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(3109,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,1555]) ).
thf(3110,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) @ ( A @ c_Message_Omsg_ONonce @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) ),
inference(simp,[status(thm)],[3109]) ).
thf(3117,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_Message_Omsg @ ( tc_nat @ ( B @ ( c_Message_Omsg_OKey @ c_Set_Oimage ) ) ) )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_ONonce )
!= c_Message_Oagent_OSpy ) ),
inference(simp,[status(thm)],[3110]) ).
thf(2931,plain,
! [A: $i] :
( ( tc_nat != tc_Message_Omsg )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz )
!= c_Message_OsymKeys )
| ( A != v_K )
| ( c_Public_OshrK != c_Message_Omsg_OKey ) ),
inference(simp,[status(thm)],[1812]) ).
thf(2944,plain,
( ( tc_nat != tc_Message_Omsg )
| ( ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz )
!= c_Message_OsymKeys )
| ( c_Public_OshrK != c_Message_Omsg_OKey ) ),
inference(simp,[status(thm)],[2931]) ).
thf(11572,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_nat != tc_Message_Omsg )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Message_OsymKeys )
| ( c_Public_OshrK != c_Message_Omsg_OKey ) ),
inference(paramod_ordered,[status(thm)],[11511,2944]) ).
thf(11617,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_nat != tc_Message_Omsg )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Message_OsymKeys )
| ( c_Public_OshrK != c_Message_Omsg_OKey ) ),
inference(simp,[status(thm)],[11572]) ).
thf(570,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Olattice ) ),
inference(cnf,[status(esa)],[569]) ).
thf(571,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ class_Lattices_Olattice )
| ( ( A @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(lifteq,[status(thm)],[570]) ).
thf(138,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__spies__bad__privateKey_0) ).
thf(859,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Oagent @ ( c_Event_Obad @ ( B @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(2933,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Oparts @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_nat != tc_Message_Omsg )
| ( ( A @ c_Message_Oparts )
!= c_Message_OsymKeys )
| ( ( B @ ( c_Public_OshrK @ hAPP ) )
!= ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) ) ) ),
inference(paramod_ordered,[status(thm)],[1704,1812]) ).
thf(2940,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_nat != tc_Message_Omsg )
| ( ( A @ c_Message_Oparts )
!= c_Message_OsymKeys )
| ( B != v_K )
| ( c_Public_OshrK != c_Message_Omsg_OKey ) ),
inference(simp,[status(thm)],[2933]) ).
thf(2948,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_nat != tc_Message_Omsg )
| ( ( A @ c_Message_Oparts )
!= c_Message_OsymKeys )
| ( c_Public_OshrK != c_Message_Omsg_OKey ) ),
inference(simp,[status(thm)],[2940]) ).
thf(44699,plain,
! [A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4520,42056]) ).
thf(44700,plain,
! [A: $i] :
( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[44699]) ).
thf(44714,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_nat @ tc_fun ) )
!= tc_nat )
| ( A
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[44700]) ).
thf(44755,plain,
( ( ( tc_bool @ ( tc_nat @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[44714]) ).
thf(422,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D = B )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__eq__MPair_1) ).
thf(1485,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D = B )
| ( ( B @ ( A @ c_Message_OHPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[422]) ).
thf(431,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__insert_0) ).
thf(1506,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[431]) ).
thf(430,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth_0) ).
thf(1504,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[430]) ).
thf(1669,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(polarity_switch,[status(thm)],[1668]) ).
thf(1670,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(lifteq,[status(thm)],[1669]) ).
thf(307,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I3_J_0) ).
thf(1240,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(1617,plain,
! [A: $i] :
( ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_OinvKey )
= ( A @ ( c_Public_OshrK @ hAPP ) ) ),
inference(lifteq,[status(thm)],[1616]) ).
thf(29390,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth )
!= ( B @ c_Message_Osynth ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_OAgent )
!= c_Message_Oagent_OServer ) ),
inference(paramod_ordered,[status(thm)],[29106,2280]) ).
thf(29391,plain,
! [A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_OAgent )
!= c_Message_Oagent_OServer ) ),
inference(pattern_uni,[status(thm)],[29390:[bind(A,$thf( A )),bind(B,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ))]]) ).
thf(32249,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( tc_nat @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6401,23275]) ).
thf(32250,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( tc_nat @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( C @ tc_fun ) @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32249]) ).
thf(32368,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= v_B )
| ( A != c_Message_Oagent_OSpy )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32250]) ).
thf(32416,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( A @ ( c_Message_Oagent_OSpy @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= v_B )
| ( ( tc_bool @ ( B @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32368]) ).
thf(1940,plain,
( ( ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1512,551]) ).
thf(1941,plain,
( ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OSpy @ c_in ) ) ) ),
inference(simp,[status(thm)],[1940]) ).
thf(1949,plain,
( ( tc_Event_Oevent != tc_Message_Oagent )
| ( ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) )
!= c_Event_Obad )
| ( ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) )
!= c_Message_Oagent_OSpy ) ),
inference(simp,[status(thm)],[1941]) ).
thf(500,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) )
| ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__eqI_0) ).
thf(1654,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ c_in ) ) )
| ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[500]) ).
thf(251,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz ) )
| ( ( C @ c_Message_Oanalz )
!= ( D @ c_Message_Oanalz ) )
| ( ( A @ c_Message_Oanalz )
!= ( B @ c_Message_Oanalz ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__cong_0) ).
thf(1108,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( D @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz ) )
| ( ( C @ c_Message_Oanalz )
!= ( D @ c_Message_Oanalz ) )
| ( ( A @ c_Message_Oanalz )
!= ( B @ c_Message_Oanalz ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(391,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Hash_0) ).
thf(1421,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).
thf(341,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__Un_0) ).
thf(1316,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Osynth @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(42508,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Message_OsymKeys @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4515,41646]) ).
thf(42509,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( c_Message_OsymKeys @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[42508]) ).
thf(42660,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_nat @ tc_fun ) )
!= tc_bool )
| ( A
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= c_Message_OsymKeys ) ),
inference(simp,[status(thm)],[42509]) ).
thf(42693,plain,
( ( ( tc_bool @ ( tc_nat @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= c_Message_OsymKeys ) ),
inference(simp,[status(thm)],[42660]) ).
thf(1179,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(polarity_switch,[status(thm)],[1178]) ).
thf(1180,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( C @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(lifteq,[status(thm)],[1179]) ).
thf(192,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
thf(976,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( D @ c_lessequals ) ) )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(687,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= B ),
inference(polarity_switch,[status(thm)],[686]) ).
thf(688,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= B ),
inference(lifteq,[status(thm)],[687]) ).
thf(158,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_Message_Omsg @ ( C @ ( D @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( D @ c_in ) ) )
| ( tc_nat @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
thf(903,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_Message_Omsg @ ( C @ ( D @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( D @ c_in ) ) )
| ( tc_nat @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_OinvKey @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(1216,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) @ c_Message_OkeysFor )
= ( C @ c_Message_OkeysFor ) ),
inference(lifteq,[status(thm)],[1215]) ).
thf(152,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__iff_0) ).
thf(891,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oanalz @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(259,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( A @ ( I @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( H @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS5_0) ).
thf(1126,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( A @ ( I @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( H @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(127,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_0) ).
thf(832,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(833,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
inference(cnf,[status(esa)],[832]) ).
thf(834,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Message_Omsg_OMPair ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ) ),
inference(lifteq,[status(thm)],[833]) ).
thf(835,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_Omsg_OMPair ) @ ( C @ A ) )
= B ),
inference(detectInverse,[status(thm)],[834]) ).
thf(836,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) @ ( B @ sk11 ) )
= A ),
inference(cnf,[status(esa)],[835]) ).
thf(7889,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OMPair ) @ ( B @ sk11 ) )
= A ),
inference(lifteq,[status(thm)],[836]) ).
thf(284,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
thf(1189,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(4004,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1259,549]) ).
thf(4005,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[4004]) ).
thf(4006,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( B @ c_Event_Oused )
!= c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_B ) ),
inference(simp,[status(thm)],[4005]) ).
thf(461,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_Message_Osynth )
= ( B @ c_Message_Oanalz @ c_Message_Osynth ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).
thf(1575,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_Message_Osynth )
= ( B @ c_Message_Oanalz @ c_Message_Osynth ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[461]) ).
thf(329,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
thf(1289,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) )
= ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(131,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( A @ ( D @ hAPP ) @ c_in ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__iff_2) ).
thf(844,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( A @ ( D @ hAPP ) @ c_in ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(406,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( A = E )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
thf(1453,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( A = E )
| ( ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( C @ ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( E @ c_Set_Oinsert ) ) @ ( D @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[406]) ).
thf(2061,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg @ ( A @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[1566,545]) ).
thf(2071,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg @ ( A @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[2061]) ).
thf(43197,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4515,41515]) ).
thf(43198,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[43197]) ).
thf(43388,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= tc_bool )
| ( A
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[43198]) ).
thf(43457,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[43388]) ).
thf(186,axiom,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( B @ ( B @ ( A @ ( C @ c_List_Olist_OCons ) ) @ c_List_Oset ) @ ( B @ ( A @ c_List_Oset ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__subset__Cons_0) ).
thf(963,plain,
! [C: $i,B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( B @ ( B @ ( A @ ( C @ c_List_Olist_OCons ) ) @ c_List_Oset ) @ ( B @ ( A @ c_List_Oset ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(492,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__eq_0) ).
thf(1639,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[492]) ).
thf(420,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).
thf(1481,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ ( A @ ( C @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[420]) ).
thf(44825,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_Oused @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1370,41712]) ).
thf(44826,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_Oused @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[44825]) ).
thf(44983,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ c_Event_Oused ) ) ),
inference(simp,[status(thm)],[44826]) ).
thf(45032,plain,
! [A: $i] :
( ( A @ c_Event_Oused @ c_Message_Oanalz )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[44983]) ).
thf(3984,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1259,546]) ).
thf(3985,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_A @ c_in ) ) ) ),
inference(simp,[status(thm)],[3984]) ).
thf(4010,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( B @ c_Event_Oused )
!= c_Event_Obad )
| ( ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_A ) ),
inference(simp,[status(thm)],[3985]) ).
thf(781,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( B @ tc_fun ) @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= A ),
inference(lifteq,[status(thm)],[780]) ).
thf(185,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( D @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( D @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_1) ).
thf(961,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( D @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ ( D @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(530,axiom,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Agent__synth_0) ).
thf(1721,plain,
! [B: $i,A: $i] : ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_Message_Omsg_OAgent @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[530]) ).
thf(418,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
| ( A = D )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
thf(1476,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
| ( A = D )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[418]) ).
thf(30764,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts )
!= ( A @ c_Message_Oparts ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) )
| ( ( A @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(paramod_ordered,[status(thm)],[30391,5050]) ).
thf(30765,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts )
!= ( A @ c_Message_Oparts ) )
| ( ( A @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[30764]) ).
thf(30766,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ),
inference(pattern_uni,[status(thm)],[30765:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ))]]) ).
thf(30862,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ),
inference(rewrite,[status(thm)],[30766,30391]) ).
thf(309,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__freshK_1) ).
thf(1244,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(1818,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(paramod_ordered,[status(thm)],[841,1797]) ).
thf(1822,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Osynth )
!= c_Event_Obad )
| ( c_Message_Oagent_OServer != v_Xa ) ),
inference(simp,[status(thm)],[1818]) ).
thf(29418,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Osynth )
!= ( B @ c_Message_Osynth ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_OAgent )
!= v_A ) ),
inference(paramod_ordered,[status(thm)],[29106,2281]) ).
thf(29419,plain,
! [A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= c_Event_Obad )
| ( ( A @ c_Message_Omsg_OAgent )
!= v_A ) ),
inference(pattern_uni,[status(thm)],[29418:[bind(A,$thf( A )),bind(B,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ))]]) ).
thf(201,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ ( A @ c_in ) ) )
| ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_1) ).
thf(995,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ ( A @ c_in ) ) )
| ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(2135,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oparts @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(paramod_ordered,[status(thm)],[1704,1798]) ).
thf(2152,plain,
! [A: $i] :
( ( ( A @ c_Message_Oparts )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oparts @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_A ) ),
inference(simp,[status(thm)],[2135]) ).
thf(1029,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(polarity_switch,[status(thm)],[1028]) ).
thf(1030,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( C @ ( B @ c_Message_Omsg_OMPair ) ) ),
inference(lifteq,[status(thm)],[1029]) ).
thf(515,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
thf(1689,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[515]) ).
thf(1192,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(polarity_switch,[status(thm)],[1191]) ).
thf(1193,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(lifteq,[status(thm)],[1192]) ).
thf(1430,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OAgent ) ) ),
inference(cnf,[status(esa)],[1429]) ).
thf(1431,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_Omsg_OAgent )
!= ( B @ c_Message_Omsg_OAgent ) ) ),
inference(lifteq,[status(thm)],[1430]) ).
thf(1432,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ c_Message_Omsg_OAgent @ A )
= B ),
inference(detectInverse,[status(thm)],[1431]) ).
thf(1433,plain,
! [A: $i] :
( ( A @ c_Message_Omsg_OAgent @ sk17 )
= A ),
inference(cnf,[status(esa)],[1432]) ).
thf(2009,plain,
! [A: $i] :
( ( A @ c_Message_Omsg_OAgent @ sk17 )
= A ),
inference(lifteq,[status(thm)],[1433]) ).
thf(36484,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_lessequals ) ) )
!= ( tc_nat @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ $true
| ~ ( A @ class_Orderings_Otop ) ),
inference(paramod_ordered,[status(thm)],[651,36475]) ).
thf(36485,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ c_Orderings_Otop__class_Otop @ ( B @ c_lessequals ) ) )
!= ( tc_nat @ ( v_B @ ( c_Message_Oagent_OSpy @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( A @ class_Orderings_Otop ) ),
inference(simp,[status(thm)],[36484]) ).
thf(36595,plain,
! [C: $i,B: $i,A: $i] :
( ( A != tc_nat )
| ( ( A @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( B != c_Message_Oagent_OSpy )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( A @ class_Orderings_Otop ) ),
inference(simp,[status(thm)],[36485]) ).
thf(36666,plain,
! [A: $i] :
( ( ( tc_nat @ c_Orderings_Otop__class_Otop )
!= v_B )
| ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B )
| ~ ( tc_nat @ class_Orderings_Otop ) ),
inference(simp,[status(thm)],[36595]) ).
thf(751,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
inference(cnf,[status(esa)],[750]) ).
thf(752,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) )
!= ( C @ ( E @ ( D @ c_List_Olist_OCons ) ) ) ) ),
inference(lifteq,[status(thm)],[751]) ).
thf(753,plain,
? [A: $i > $i > $i > $i] :
! [B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ c_List_Olist_OCons ) ) @ ( D @ ( B @ A ) ) )
= C ),
inference(detectInverse,[status(thm)],[752]) ).
thf(754,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) @ ( C @ ( A @ sk7 ) ) )
= B ),
inference(cnf,[status(esa)],[753]) ).
thf(34976,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_List_Olist_OCons ) ) @ ( C @ ( A @ sk7 ) ) )
= B ),
inference(lifteq,[status(thm)],[754]) ).
thf(567,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[566]) ).
thf(568,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ class_Lattices_Oupper__semilattice )
| ( ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ ( A @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ) ),
inference(lifteq,[status(thm)],[567]) ).
thf(43348,plain,
! [A: $i] :
( ( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4520,41515]) ).
thf(43349,plain,
! [A: $i] :
( ( tc_nat @ ( A @ ( tc_nat @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[43348]) ).
thf(43368,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= tc_nat )
| ( A
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[43349]) ).
thf(43439,plain,
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[43368]) ).
thf(331,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( B @ c_Message_Oparts ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
thf(1294,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( B @ c_Message_Oparts ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(5836,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_nat @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( tc_nat @ ( A @ ( B @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[2922,4458]) ).
thf(5837,plain,
! [A: $i] : ( tc_nat @ ( A @ ( A @ c_lessequals ) ) ),
inference(pattern_uni,[status(thm)],[5836:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(399,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_OHPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__synth__analz_0) ).
thf(1440,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ ( A @ c_Message_OHPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).
thf(156,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ c_Message_Oanalz @ ( B @ c_Message_Oanalz @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__cong_0) ).
thf(899,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( C @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ c_Message_Oanalz @ ( B @ c_Message_Oanalz @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(1660,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(polarity_switch,[status(thm)],[1659]) ).
thf(1661,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_OAgent ) ),
inference(lifteq,[status(thm)],[1660]) ).
thf(32800,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_bool @ c_Orderings_Obot__class_Obot @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
!= ( tc_nat @ ( c_Message_Oagent_OSpy @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) )
| ( A != v_B )
| ( ( tc_bool @ ( C @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(paramod_ordered,[status(thm)],[9401,32400]) ).
thf(32876,plain,
! [B: $i,A: $i] :
( ( tc_nat != tc_bool )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= c_Message_Oagent_OSpy )
| ( v_B != A )
| ( ( tc_bool @ ( B @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32800]) ).
thf(32973,plain,
! [A: $i] :
( ( tc_nat != tc_bool )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= c_Message_Oagent_OSpy )
| ( ( tc_bool @ ( A @ tc_fun ) )
!= tc_nat )
| ( ( tc_nat @ c_Orderings_Obot__class_Obot )
!= v_B ) ),
inference(simp,[status(thm)],[32876]) ).
thf(1308,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(polarity_switch,[status(thm)],[1307]) ).
thf(1309,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OAgent )
!= ( B @ ( c_Message_Omsg_OKey @ hAPP ) ) ),
inference(lifteq,[status(thm)],[1308]) ).
thf(401,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_0) ).
thf(1444,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).
thf(400,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__mono_0) ).
thf(1442,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( A @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).
thf(44544,plain,
! [A: $i] :
( ( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4515,42056]) ).
thf(44545,plain,
! [A: $i] :
( ( tc_bool @ ( A @ ( tc_bool @ c_Orderings_Obot__class_Obot @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[44544]) ).
thf(44706,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_nat @ tc_fun ) )
!= tc_bool )
| ( A
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[44545]) ).
thf(44748,plain,
( ( ( tc_bool @ ( tc_nat @ tc_fun ) )
!= tc_bool )
| ( ( tc_bool @ c_Orderings_Obot__class_Obot )
!= ( tc_bool @ ( tc_nat @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ) ),
inference(simp,[status(thm)],[44706]) ).
thf(221,axiom,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__mono_0) ).
thf(1045,plain,
! [B: $i,A: $i] :
( ~ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Osynth @ ( A @ c_Message_Osynth @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(273,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__analz__shrK_0) ).
thf(1161,plain,
! [B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ ( c_Public_OshrK @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( c_Event_Obad @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(254,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).
thf(1116,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(462,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
thf(1578,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[462]) ).
thf(510,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__HPair_0) ).
thf(1678,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[510]) ).
thf(46532,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_OinitState @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1618,41816]) ).
thf(46533,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oparts @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_OinitState @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[46532]) ).
thf(46700,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ c_Event_OinitState ) ) ),
inference(simp,[status(thm)],[46533]) ).
thf(46768,plain,
! [A: $i] :
( ( A @ c_Event_OinitState @ c_Message_Oparts )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[46700]) ).
thf(449,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I4_J_0) ).
thf(1546,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Set_Oinsert ) ) @ ( B @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[449]) ).
thf(794,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Message_OHPair ) @ ( B @ A ) )
= C ),
inference(detectInverse,[status(thm)],[793]) ).
thf(795,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_OHPair ) @ ( A @ sk10 ) )
= B ),
inference(cnf,[status(esa)],[794]) ).
thf(7787,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Message_OHPair ) @ ( A @ sk10 ) )
= B ),
inference(lifteq,[status(thm)],[795]) ).
thf(1749,plain,
( ( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[543,1549]) ).
thf(1750,plain,
( ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) )
!= ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( v_evsf @ c_in ) ) ) ),
inference(simp,[status(thm)],[1749]) ).
thf(1757,plain,
( ( ( tc_Event_Oevent @ tc_List_Olist )
!= tc_Message_Oagent )
| ( c_NS__Shared__Mirabelle_Ons__shared != c_Event_Obad )
| ( c_Message_Oagent_OServer != v_evsf ) ),
inference(simp,[status(thm)],[1750]) ).
thf(262,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__analz__insert_0) ).
thf(1133,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_Message_Oanalz @ ( C @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(5021,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) )
| ( ( C @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[827,2069]) ).
thf(5022,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( A @ c_in ) ) )
!= ( tc_Message_Omsg @ ( C @ c_Message_Oanalz @ ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ) )
| ( ( C @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[5021]) ).
thf(5038,plain,
! [C: $i,B: $i,A: $i] :
( ( B != tc_Message_Omsg )
| ( ( tc_bool @ ( B @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( C @ c_Message_Oanalz ) )
| ( A
!= ( v_K @ ( c_Message_Omsg_OKey @ hAPP ) ) )
| ( ( C @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[5022]) ).
thf(5051,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop )
!= ( A @ c_Message_Oanalz ) )
| ( ( A @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) ) ),
inference(simp,[status(thm)],[5038]) ).
thf(203,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS4_0) ).
thf(999,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ( tc_Message_Omsg @ ( E @ c_Event_Oused @ ( D @ c_Message_Omsg_ONonce @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( B @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(620,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( E @ tc_fun ) @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( E @ ( C @ ( A @ ( D @ c_Set_Oimage ) ) ) @ c_lessequals ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[619]) ).
thf(27108,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_nat @ ( c_Message_OsymKeys @ ( E @ ( D @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1171,880]) ).
thf(27109,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ ( A @ c_in ) ) )
!= ( tc_nat @ ( c_Message_OsymKeys @ ( E @ ( D @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_in ) ) ) ),
inference(simp,[status(thm)],[27108]) ).
thf(27136,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C != tc_nat )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= c_Message_OsymKeys )
| ( A
!= ( E @ ( D @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey ) ) ),
inference(simp,[status(thm)],[27109]) ).
thf(27148,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_nat @ ( A @ ( C @ ( B @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey @ c_Set_Oinsert ) ) )
!= c_Message_OsymKeys ),
inference(simp,[status(thm)],[27136]) ).
thf(532,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__not__used_0) ).
thf(1725,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( tc_bool @ ( tc_Message_Oagent @ tc_fun ) @ c_Orderings_Otop__class_Otop @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[532]) ).
thf(1279,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(polarity_switch,[status(thm)],[1278]) ).
thf(1280,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_ONonce )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(lifteq,[status(thm)],[1279]) ).
thf(246,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( J @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( B @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_3) ).
thf(1097,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( A @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( J @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( B @ ( G @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(379,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
thf(1395,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( A @ c_in ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(485,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Notes_0) ).
thf(1625,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( B @ ( D @ ( C @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) @ ( B @ ( A @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[485]) ).
thf(469,axiom,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert_0) ).
thf(1593,plain,
! [B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Set_Oinsert ) ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[469]) ).
thf(373,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Nonce_0) ).
thf(1380,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_ONonce @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).
thf(335,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
thf(1303,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( C @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( C @ ( tc_bool @ ( C @ tc_fun ) @ ( D @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(508,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
thf(1673,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( J @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( I @ c_Message_Omsg_OMPair ) @ ( H @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( H @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( C @ c_List_Oset ) @ ( G @ ( F @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( E @ c_Message_Omsg_OMPair ) @ ( D @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[508]) ).
thf(311,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__eq_1) ).
thf(1248,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(790,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[789]) ).
thf(397,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( A
= ( D @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
thf(1436,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( A @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OCrypt ) @ ( D @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( E @ c_in ) ) )
| ( A
= ( D @ c_Message_Omsg_OAgent @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).
thf(806,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ),
inference(polarity_switch,[status(thm)],[805]) ).
thf(807,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) )
!= ( D @ ( C @ c_Event_Oevent_OGets ) ) ),
inference(lifteq,[status(thm)],[806]) ).
thf(517,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I8_J_0) ).
thf(1693,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( B @ ( A @ c_Message_Omsg_OCrypt ) @ c_Set_Oinsert ) ) @ ( C @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[517]) ).
thf(456,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_nat @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
thf(1561,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Event_Oused @ ( A @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) )
| ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( B @ c_in ) ) )
| ~ ( tc_nat @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ c_Message_OkeysFor @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[456]) ).
thf(217,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( A @ ( I @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( H @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS5_0) ).
thf(1033,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ c_NS__Shared__Mirabelle_Ons__sharedp )
| ~ ( tc_nat @ ( c_Message_OsymKeys @ ( C @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( D @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( A @ ( I @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( E @ c_List_Oset ) @ ( H @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( B @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( G @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( A @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ ( E @ ( D @ c_Message_Omsg_ONonce @ ( D @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( C @ c_Message_Omsg_OCrypt ) @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_NS__Shared__Mirabelle_Ons__sharedp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(125,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_OOops_0) ).
thf(828,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( D @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( B @ c_Message_Omsg_ONonce @ ( C @ c_Message_Omsg_OCrypt ) @ ( E @ ( F @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( D @ c_List_Oset ) @ ( G @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ c_Message_Omsg_OMPair ) @ ( F @ c_Message_Omsg_OAgent @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( E @ ( c_Public_OshrK @ hAPP ) @ c_Message_Omsg_OCrypt ) @ ( E @ ( c_Message_Oagent_OServer @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( D @ ( C @ ( c_Message_Omsg_OKey @ hAPP ) @ ( B @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( A @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_ONotes ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(230,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__spies_0) ).
thf(1065,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(275,axiom,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) )
| ( ( A @ c_Message_OinvKey )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).
thf(1165,plain,
! [A: $i] :
( ~ ( tc_nat @ ( c_Message_OsymKeys @ ( A @ c_in ) ) )
| ( ( A @ c_Message_OinvKey )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(181,axiom,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Event_Oused @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
thf(955,plain,
! [A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Event_Oused @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oparts @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(24494,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) ) )
| ~ $true
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[1370,696]) ).
thf(24495,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Oanalz @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ ( B @ ( C @ c_lessequals ) ) ) )
| ( ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= B ) ),
inference(simp,[status(thm)],[24494]) ).
thf(24496,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[24495:[bind(A,$thf( E )),bind(B,$thf( E @ c_Message_Oanalz )),bind(C,$thf( E )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(24825,plain,
! [A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ ( A @ c_Message_Oanalz @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( A @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[24496]) ).
thf(111,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C
= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( D @ ( C @ ( B @ c_Set_Oimage ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
thf(796,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C
= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( tc_bool @ ( A @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= ( A @ ( D @ ( C @ ( B @ c_Set_Oimage ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(164,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OFst_0) ).
thf(918,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( C @ ( A @ c_Message_Omsg_OMPair ) @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(800,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ),
inference(polarity_switch,[status(thm)],[799]) ).
thf(801,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_OGets ) )
!= ( D @ ( C @ c_Event_Oevent_ONotes ) ) ),
inference(lifteq,[status(thm)],[800]) ).
thf(278,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
thf(1172,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( D @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(386,axiom,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__spies__pubK_0) ).
thf(1410,plain,
! [C: $i,B: $i,A: $i] : ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).
thf(767,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ c_lessequals ) ) )
| ( A @ ( A @ ( D @ ( C @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(cnf,[status(esa)],[766]) ).
thf(634,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_OinvKey )
!= ( B @ c_Message_OinvKey ) ) ),
inference(cnf,[status(esa)],[633]) ).
thf(635,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Message_OinvKey )
!= ( B @ c_Message_OinvKey ) ) ),
inference(lifteq,[status(thm)],[634]) ).
thf(417,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( C @ ( B @ ( A @ c_in ) ) )
| ( C @ ( D @ ( A @ c_in ) ) )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( D @ ( A @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__ident_0) ).
thf(1473,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( C @ ( B @ ( A @ c_in ) ) )
| ( C @ ( D @ ( A @ c_in ) ) )
| ( ( C @ ( B @ ( A @ c_Set_Oinsert ) ) )
!= ( C @ ( D @ ( A @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[417]) ).
thf(3664,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( C @ class_Lattices_Olattice ) )
| ~ $true
| ( C @ ( B @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(paramod_ordered,[status(thm)],[3636,580]) ).
thf(3665,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_bool @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( C @ class_Lattices_Olattice ) )
| ( C @ ( B @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(simp,[status(thm)],[3664]) ).
thf(3666,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ),
inference(pattern_uni,[status(thm)],[3665:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( tc_bool @ ( D @ tc_fun ) ))]]) ).
thf(3673,plain,
! [B: $i,A: $i] : ( tc_bool @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ),
inference(simp,[status(thm)],[3666]) ).
thf(356,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( A @ ( C @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL )
| ( C = B )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
thf(1346,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( A @ ( C @ c_Set_Oinsert ) ) @ hAPP ) @ hBOOL )
| ( C = B )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(169,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( A @ ( D @ hAPP ) @ c_in ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
thf(928,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( C @ ( B @ ( D @ c_Set_Oimage ) ) ) @ ( A @ ( D @ hAPP ) @ c_in ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(244,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OInj_0) ).
thf(1093,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(987,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( C @ ( B @ ( A @ c_Event_Oevent_OGets ) @ c_List_Olist_OCons ) ) @ c_Event_Oused )
= ( C @ c_Event_Oused ) ),
inference(lifteq,[status(thm)],[986]) ).
thf(359,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ~ ( B @ ( C @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
thf(1352,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ~ ( B @ ( C @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(636,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ c_Message_OinvKey @ A )
= B ),
inference(detectInverse,[status(thm)],[635]) ).
thf(637,plain,
! [A: $i] :
( ( A @ c_Message_OinvKey @ sk2 )
= A ),
inference(cnf,[status(esa)],[636]) ).
thf(1974,plain,
! [A: $i] :
( ( A @ c_Message_OinvKey @ sk2 )
= A ),
inference(lifteq,[status(thm)],[637]) ).
thf(1975,plain,
! [B: $i,A: $i] :
( ( ( A @ c_Message_OinvKey @ c_Message_OinvKey )
!= ( B @ c_Message_OinvKey ) )
| ( ( A @ sk2 )
= B ) ),
inference(paramod_ordered,[status(thm)],[678,1974]) ).
thf(1976,plain,
! [A: $i] :
( ( A @ sk2 )
= ( A @ c_Message_OinvKey ) ),
inference(pattern_uni,[status(thm)],[1975:[bind(A,$thf( C )),bind(B,$thf( C @ c_Message_OinvKey ))]]) ).
thf(1977,plain,
! [A: $i] :
( ( A @ sk2 )
= ( A @ c_Message_OinvKey ) ),
inference(simp,[status(thm)],[1976]) ).
thf(1536,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
inference(polarity_switch,[status(thm)],[1535]) ).
thf(1537,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ c_Message_OinvKey )
!= ( C @ ( c_Public_OshrK @ hAPP ) ) ),
inference(lifteq,[status(thm)],[1536]) ).
thf(464,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__synthD_0) ).
thf(1582,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[464]) ).
thf(361,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Agent_0) ).
thf(1357,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( B @ c_Message_Oparts @ ( A @ c_Message_Omsg_OAgent @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(199,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__cut_0) ).
thf(992,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( C @ c_Set_Oinsert ) ) @ c_Message_Osynth @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( C @ c_in ) ) )
| ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(333,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( B @ c_in ) ) )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_1) ).
thf(1299,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( B @ c_in ) ) )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( D @ tc_fun ) @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(690,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(polarity_switch,[status(thm)],[689]) ).
thf(691,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( C @ ( B @ c_Message_OHPair ) ) ),
inference(lifteq,[status(thm)],[690]) ).
thf(606,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(cnf,[status(esa)],[605]) ).
thf(607,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B
= ( tc_bool @ ( C @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( ( D @ ( C @ ( B @ ( A @ c_Set_Oimage ) ) ) )
!= ( tc_bool @ ( D @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ) ),
inference(lifteq,[status(thm)],[606]) ).
thf(3688,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( C @ class_Lattices_Olattice ) )
| ~ $true
| ( C @ ( B @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(paramod_ordered,[status(thm)],[3639,580]) ).
thf(3689,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_nat @ ( A @ tc_fun ) @ class_Lattices_Olattice )
!= ( C @ class_Lattices_Olattice ) )
| ( C @ ( B @ tc_fun ) @ class_Lattices_Oupper__semilattice ) ),
inference(simp,[status(thm)],[3688]) ).
thf(3690,plain,
! [B: $i,A: $i] : ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ),
inference(pattern_uni,[status(thm)],[3689:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( tc_nat @ ( D @ tc_fun ) ))]]) ).
thf(3701,plain,
! [B: $i,A: $i] : ( tc_nat @ ( B @ tc_fun ) @ ( A @ tc_fun ) @ class_Lattices_Oupper__semilattice ),
inference(simp,[status(thm)],[3690]) ).
thf(451,axiom,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__image__eq_0) ).
thf(1550,plain,
! [B: $i,A: $i] :
( ~ ( tc_nat @ ( tc_nat @ ( tc_Message_Oagent @ ( B @ ( c_Public_OshrK @ c_Set_Oimage ) ) ) @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
| ( tc_Message_Oagent @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[451]) ).
thf(670,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ c_Event_Oevent_ONotes ) @ ( C @ A ) )
= B ),
inference(detectInverse,[status(thm)],[669]) ).
thf(671,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) @ ( B @ sk4 ) )
= A ),
inference(cnf,[status(esa)],[670]) ).
thf(7457,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Event_Oevent_ONotes ) @ ( B @ sk4 ) )
= A ),
inference(lifteq,[status(thm)],[671]) ).
thf(134,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ hAPP ) @ hBOOL )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
thf(850,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ hAPP ) @ hBOOL )
| ~ ( tc_bool @ ( D @ tc_fun ) @ ( A @ ( C @ c_lessequals ) ) )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(526,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( D @ c_in ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_0) ).
thf(1713,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( D @ c_in ) ) )
| ~ ( tc_bool @ ( C @ tc_fun ) @ ( C @ ( B @ ( D @ c_Set_Oinsert ) ) @ ( A @ c_lessequals ) ) )
| ( tc_bool @ ( C @ tc_fun ) @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[526]) ).
thf(1620,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(polarity_switch,[status(thm)],[1619]) ).
thf(1621,plain,
! [B: $i,A: $i] :
( ( A @ c_Message_Omsg_OHash )
!= ( B @ c_Message_Omsg_ONonce ) ),
inference(lifteq,[status(thm)],[1620]) ).
thf(30743,plain,
! [A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts )
!= ( A @ c_Message_Oparts ) )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oanalz )
= ( A @ c_Message_Oparts ) ) ),
inference(paramod_ordered,[status(thm)],[30391,1704]) ).
thf(30744,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oparts )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[30743:[bind(A,$thf( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ))]]) ).
thf(31226,plain,
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop @ c_Message_Oanalz )
= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Otop__class_Otop ) ),
inference(rewrite,[status(thm)],[30744,30391]) ).
thf(256,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert_0) ).
thf(1120,plain,
! [B: $i,A: $i] :
( ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( A @ c_in ) ) )
| ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( B @ c_Message_Oparts @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(114,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
thf(803,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) )
= ( tc_bool @ ( D @ tc_fun ) @ ( tc_bool @ ( D @ tc_fun ) @ ( C @ ( A @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(166,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( D @ ( D @ ( C @ ( A @ c_Set_Oinsert ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
thf(923,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oinsert ) ) )
= ( D @ ( D @ ( C @ ( A @ c_Set_Oinsert ) ) @ ( B @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(2057,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oanalz @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(paramod_ordered,[status(thm)],[1566,1800]) ).
thf(2074,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) ) )
| ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( A @ c_Message_Oanalz @ c_Message_Osynth )
!= c_Event_Obad )
| ( v_Xa != v_B ) ),
inference(simp,[status(thm)],[2057]) ).
thf(44859,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_Oused @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1652,41712]) ).
thf(44860,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_Oused @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[44859]) ).
thf(44971,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ c_Event_Oused ) ) ),
inference(simp,[status(thm)],[44860]) ).
thf(45018,plain,
! [A: $i] :
( ( A @ c_Event_Oused @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[44971]) ).
thf(389,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oimage ) ) ) )
= ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
thf(1416,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( D @ ( C @ ( B @ c_Set_Oinsert ) ) @ ( A @ c_Set_Oimage ) ) ) )
= ( E @ ( E @ ( D @ ( C @ ( A @ c_Set_Oimage ) ) ) @ ( B @ ( A @ hAPP ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).
thf(7814,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1509,549]) ).
thf(7815,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ c_Event_Oused @ ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( v_B @ c_in ) ) ) ),
inference(simp,[status(thm)],[7814]) ).
thf(7823,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( C @ c_Event_Oused )
!= c_Event_Obad )
| ( ( B @ ( A @ c_Public_OpublicKey @ hAPP ) @ ( c_Message_Omsg_OKey @ hAPP ) )
!= v_B ) ),
inference(simp,[status(thm)],[7815]) ).
thf(344,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( B @ c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Set_Oinsert ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq__I_0) ).
thf(1320,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz @ ( A @ ( B @ c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 ) @ c_in ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Set_Oinsert ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_Set_Oinsert ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(48950,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_Oused @ c_Message_Oparts @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1652,45436]) ).
thf(48951,plain,
! [B: $i,A: $i] :
( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( A @ c_Message_Osynth @ ( A @ c_lessequals ) ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ ( B @ c_Event_Oused @ c_Message_Oparts @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[48950]) ).
thf(49090,plain,
! [B: $i,A: $i] :
( ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) ) )
| ( ( A @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) )
| ( A
!= ( B @ c_Event_Oused @ c_Message_Oparts ) ) ),
inference(simp,[status(thm)],[48951]) ).
thf(49148,plain,
! [A: $i] :
( ( A @ c_Event_Oused @ c_Message_Oparts @ c_Message_Osynth )
!= ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot ) ),
inference(simp,[status(thm)],[49090]) ).
thf(499,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( D @ ( C @ ( B @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Says_0) ).
thf(1653,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ ( tc_Event_Oevent @ ( A @ ( D @ ( C @ ( B @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[499]) ).
thf(1938,plain,
( ( ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[545,551]) ).
thf(1939,plain,
( ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[1938]) ).
thf(1944,plain,
( ( tc_Message_Omsg != tc_Event_Oevent )
| ( ( tc_Event_Oevent @ ( v_evsf @ c_List_Oset ) )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) )
!= v_Xa ) ),
inference(simp,[status(thm)],[1939]) ).
thf(172,axiom,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__HPair_0) ).
thf(935,plain,
! [C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) @ c_Message_Oparts )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( C @ ( B @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( B @ ( A @ c_Message_Omsg_OMPair ) @ c_Message_Omsg_OHash @ c_Set_Oinsert ) ) @ ( B @ ( A @ c_Message_OHPair ) @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(57,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
thf(659,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( A @ ( D @ ( C @ c_lessequals ) ) )
| ( A @ ( D @ ( A @ ( C @ ( B @ c_Lattices_Oupper__semilattice__class_Osup ) ) @ c_lessequals ) ) )
| ~ ( A @ class_Lattices_Oupper__semilattice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(424,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( D @ ( A @ c_Event_Oknows ) @ ( C @ c_Set_Oinsert ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Says_0) ).
thf(1490,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Event_Oevent @ ( D @ ( C @ ( B @ ( A @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ ( A @ c_Event_Oknows ) )
= ( tc_Message_Omsg @ ( D @ ( A @ c_Event_Oknows ) @ ( C @ c_Set_Oinsert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[424]) ).
thf(1036,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ),
inference(polarity_switch,[status(thm)],[1035]) ).
thf(1037,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Message_Omsg_OCrypt ) )
!= ( D @ ( C @ c_Message_Omsg_OMPair ) ) ),
inference(lifteq,[status(thm)],[1036]) ).
thf(1761,plain,
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[542,1549]) ).
thf(1762,plain,
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) @ c_in ) ) )
!= ( tc_Message_Oagent @ ( c_Event_Obad @ ( c_Message_Oagent_OServer @ c_in ) ) ) ),
inference(simp,[status(thm)],[1761]) ).
thf(1769,plain,
( ( tc_Message_Omsg != tc_Message_Oagent )
| ( ( tc_Message_Omsg @ ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ ( v_Xa @ c_Set_Oinsert ) ) @ c_Message_Oparts )
!= c_Event_Obad )
| ( ( v_NB @ c_Message_Omsg_ONonce @ ( v_NB @ c_Message_Omsg_ONonce @ c_Message_Omsg_OMPair ) @ ( v_K @ c_Message_Omsg_OCrypt ) )
!= c_Message_Oagent_OServer ) ),
inference(simp,[status(thm)],[1762]) ).
thf(1892,plain,
! [B: $i,A: $i] :
( ( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( B @ c_in ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1074,1010]) ).
thf(1893,plain,
! [B: $i,A: $i] :
( ( tc_nat @ ( c_Message_OsymKeys @ ( A @ ( c_Public_OshrK @ hAPP ) @ c_in ) ) )
!= ( tc_Message_Omsg @ ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts @ ( B @ c_in ) ) ) ),
inference(simp,[status(thm)],[1892]) ).
thf(1907,plain,
! [B: $i,A: $i] :
( ( tc_nat != tc_Message_Omsg )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts )
!= c_Message_OsymKeys )
| ( ( A @ ( c_Public_OshrK @ hAPP ) )
!= B ) ),
inference(simp,[status(thm)],[1893]) ).
thf(1912,plain,
( ( tc_nat != tc_Message_Omsg )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot @ c_Message_Oparts )
!= c_Message_OsymKeys ) ),
inference(simp,[status(thm)],[1907]) ).
thf(1917,plain,
( ( tc_nat != tc_Message_Omsg )
| ( ( tc_bool @ ( tc_Message_Omsg @ tc_fun ) @ c_Orderings_Obot__class_Obot )
!= c_Message_OsymKeys ) ),
inference(rewrite,[status(thm)],[1912,1298]) ).
thf(290,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( C @ ( B @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_OFake_0) ).
thf(1204,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( C @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( C @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth @ ( B @ c_in ) ) )
| ( tc_Event_Oevent @ tc_List_Olist @ ( c_NS__Shared__Mirabelle_Ons__shared @ ( tc_Event_Oevent @ ( C @ ( B @ ( A @ ( c_Message_Oagent_OSpy @ c_Event_Oevent_OSays ) ) @ c_List_Olist_OCons ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(2084,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz @ c_Message_Osynth ) )
| ( tc_Message_Omsg @ ( A @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[1692,545]) ).
thf(2087,plain,
! [A: $i] :
( ( ( A @ c_Message_Osynth )
!= ( v_evsf @ ( c_Message_Oagent_OSpy @ c_Event_Oknows ) @ c_Message_Oanalz ) )
| ( tc_Message_Omsg @ ( A @ c_Message_Osynth @ ( v_Xa @ c_in ) ) ) ),
inference(simp,[status(thm)],[2084]) ).
thf(63874,plain,
$false,
inference(e,[status(thm)],[645,1718,1411,629,2031,41646,1995,4022,893,941,1549,1686,1586,1501,1024,1469,1168,7890,48163,2072,46773,45319,1559,1105,1237,846,628,1031,1315,8784,12731,777,555,666,4877,2280,1554,46785,1211,45031,683,730,4515,2495,1618,994,1401,1569,741,1544,1533,42056,861,24772,1158,582,762,2117,1596,1406,2099,1591,6426,1142,1269,878,4215,614,1692,45436,677,1305,597,9364,1671,1608,6401,1137,1310,4011,7556,7824,2316,1275,1327,1260,2459,945,1063,1497,1705,1078,1788,41515,27166,1342,747,913,538,1354,2146,1507,1222,930,1196,898,4792,1001,782,841,973,1613,3947,1645,1359,651,27155,1095,1601,45379,565,1366,2825,1529,1265,1703,1228,1254,1628,1709,27162,802,3125,1313,1191,41843,11628,1132,542,1760,1298,21043,785,587,1323,619,7541,45351,702,817,559,638,2857,881,7560,1494,1362,1100,2829,11641,1800,1319,45769,1704,870,45715,1479,23275,1609,1013,770,6098,1641,1232,7500,2178,789,1632,1334,1682,43184,937,4798,966,27400,1283,2007,9401,2950,4205,1946,1465,756,1664,7564,2105,1811,1450,2090,591,10623,1373,1418,623,1383,27515,574,1051,821,905,11632,1377,1215,692,956,866,1072,1622,1394,1526,2965,3606,30157,5045,602,43154,981,766,7613,2281,734,42431,1345,988,1201,11505,1104,1697,1242,849,1651,24834,1206,920,45376,678,1691,661,1306,1199,810,1338,48158,1067,42955,28923,1074,1604,2922,546,793,44508,925,761,27156,1047,1730,1057,1163,910,957,1021,952,1580,1502,35603,729,10278,1238,746,1091,1519,35339,1123,862,1570,42708,5044,1174,1676,1217,598,11587,561,1666,693,630,1824,1619,1370,2032,815,1423,916,566,3618,45946,1178,1457,1624,2179,757,682,1281,1392,842,1968,3090,879,852,1555,2820,583,830,1787,2181,7501,1210,1656,7891,551,1128,41712,1291,710,1402,30391,874,27150,1534,5615,725,1425,1719,593,610,1118,3001,27161,1350,3699,742,578,697,1234,1772,1259,37545,650,948,1375,6955,1111,1970,1540,1006,42705,857,1397,1329,1361,1659,2323,6116,669,10620,1584,1700,1810,1446,37352,1155,1567,34258,1028,1082,3094,1461,537,901,686,35568,1075,1016,590,679,970,1297,1451,654,1668,1552,4482,1050,984,721,1715,1979,837,7350,1825,1114,647,997,1588,7544,11606,1456,1382,2153,1231,569,1429,1599,1246,605,1759,1393,27153,1333,1434,1086,805,42956,1695,541,1515,1026,1616,1732,35765,45372,633,5090,1563,657,765,1054,1286,1035,558,1071,3639,674,773,586,662,718,888,1278,1135,618,32939,1146,1680,29488,1483,1273,856,745,1301,689,750,1727,1510,11638,1698,1219,824,1548,1927,1631,733,601,11805,819,3741,732,1784,1125,30826,1388,1124,32400,1154,562,975,1007,694,3636,35576,1652,3945,11851,579,5050,1535,45826,1256,1226,545,1488,2161,1139,3118,572,1707,1312,713,21859,1092,32413,1464,1224,2148,540,672,1271,1371,611,787,1635,1733,1058,1107,1258,704,604,1194,4790,43545,41785,784,1011,1524,736,1349,990,737,6289,1439,1307,863,681,1408,1492,1603,42925,1542,1722,5054,1144,880,649,1043,1801,616,1122,32983,1080,631,758,552,609,1630,594,895,626,1344,943,1688,1471,5202,799,7892,726,621,29034,848,700,1325,3614,1149,964,1556,11630,1460,2329,932,1061,1198,1594,959,883,43434,1496,1102,685,1171,983,2075,1926,2962,1213,768,827,1528,868,1643,780,48133,1176,27159,608,986,2288,1113,563,1364,1250,7356,653,7458,4209,2069,658,1626,27065,675,1662,1758,4458,1467,663,927,648,749,617,1472,553,1049,1413,1076,1208,589,43150,680,28919,1684,27164,812,1509,939,1340,2333,1145,1018,968,1181,823,1798,580,640,707,887,1647,739,1368,1267,1531,1230,27152,5047,3737,1770,1516,1598,1070,12088,872,705,1611,29106,1566,2143,954,1252,4200,4522,673,1716,791,1186,24837,47473,840,1235,27481,1317,4351,1130,1285,1711,1499,1813,1452,1637,1038,585,1085,576,7351,1658,1538,951,808,1336,643,544,907,1404,744,27167,656,613,5613,1221,600,1427,978,3117,11617,571,595,612,876,859,2948,44755,2113,703,1485,1506,1504,727,1670,1797,1240,1617,29391,32416,2088,1459,556,539,1949,41816,581,1654,759,1108,1421,7552,1316,1649,1084,42693,1180,976,688,903,1216,891,1126,7889,2490,1189,4006,1390,2919,1575,1289,844,1453,2071,43457,5055,963,748,1639,1481,1101,652,4542,632,45032,4010,781,3085,588,699,961,1721,2283,1476,30862,5426,1244,1822,731,29419,786,995,2152,2944,1030,1689,1193,3677,1212,763,1513,832,536,2009,36666,34976,568,43439,667,1294,5837,1440,899,1661,32973,1309,1444,1442,549,44748,42012,1045,716,1161,41885,1116,1512,1578,1678,46768,1546,7787,1757,1133,5051,999,620,2102,28970,752,27148,1725,1280,950,1097,1395,1625,1593,36475,1380,4787,854,1303,1527,1673,1248,790,4455,603,1436,807,1693,1561,1033,2091,36948,828,1065,696,1165,955,24825,796,918,801,1172,897,1410,767,1056,664,960,635,1473,3673,1346,886,928,1093,740,987,1352,1977,1827,1152,1537,1582,1357,992,723,5046,1004,1299,691,607,575,3701,644,1550,7457,850,1713,1399,1621,31226,1120,803,4520,923,2074,543,45018,1416,592,1069,7823,708,1331,1606,1320,49148,1653,1944,935,1009,659,1565,1490,1037,775,560,1769,1917,755,676,1204,1449,1812,2087,11511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV800-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 14:59:48 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.76/1.20 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.95/1.74 % [INFO] Parsing done (539ms).
% 1.95/1.77 % [INFO] Running in sequential loop mode.
% 2.99/2.34 % [INFO] eprover registered as external prover.
% 2.99/2.34 % [INFO] Scanning for conjecture ...
% 3.92/2.73 % [INFO] Found a conjecture (or negated_conjecture) and 540 axioms. Running axiom selection ...
% 5.03/3.18 % [INFO] Axiom selection finished. Selected 525 axioms (removed 15 axioms).
% 5.77/3.60 % [INFO] Problem is propositional (TPTP CNF).
% 6.01/3.64 % [INFO] Type checking passed.
% 6.01/3.65 % [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 ...
% 195.18/71.57 % External prover 'e' found a proof!
% 195.18/71.57 % [INFO] Killing All external provers ...
% 195.18/71.58 % Time passed: 70985ms (effective reasoning time: 69798ms)
% 195.18/71.58 % Axioms used in derivation (525): cls_set__subset__Cons_0, 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_analz__image__freshK__lemma_5, cls_not__parts__not__analz_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_Un__subset__iff_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_Says__S__message__form_0, cls_B__trusts__NS5_0, cls_A__trusts__NS2_0, cls_B__trusts__NS5__lemma_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_HPair__eq_0, cls_empty__is__image_1, cls_image__mono_0, cls_Un__empty__left_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_UnCI_1, cls_insert__absorb_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_analz__subset__parts_0, cls_HPair__def_0, cls_empty__iff_0, cls_not__Cons__self2_0, cls_Fake__parts__insert_0, cls_ns__shared_OOops_0, cls_MPair__eq__HPair_1, 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_knows__subset__knows__Cons_0, cls_analz__idem_0, cls_insert__subset_0, cls_HPair__eq__MPair_0, cls_set__rev__mp_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_synth__insert_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_Un__left__commute_0, cls_Key__image__eq_1, clsarity_bool__HOL_Oord, cls_set__mp_0, 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_parts__insert__HPair_0, cls_analz__Crypt__if_1, cls_pushes_I11_J_0, cls_HPair__eq__MPair_2, 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_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_le__iff__sup_0, cls_publicKey__inject_0, cls_HPair__eq_1, 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_Spy__spies__bad__shrK_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_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, cls_in__lists__conv__set_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_A__authenticates__and__keydist__to__B_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_privateKey__neq__publicKey_0, cls_analz_OInj_0, cls_Nonce__synth__eq_1, cls_parts__insertI_0, cls_Key__neq__HPair_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, cls_msg_Osimps_I1_J_0, cls_Nonce__neq__HPair_0, cls_linorder__linear_0, cls_Un__empty_0, clsarity_fun__Lattices_Olattice, cls_HPair__synth__analz_0, cls_msg_Osimps_I4_J_0, cls_analz__parts_0, cls_pushes_I12_J_0, cls_image__empty_0, cls_subset__trans_0, cls_analz__image__freshK__lemma_3, cls_insert__is__Un_0, cls_keysFor__insert__HPair_0, cls_MPair__eq__HPair_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_sup__top__right_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_not__symKeys__priK_0, cls_image__Un_0, cls_publicKey__notin__image__shrK_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_parts__insert__knows__A_0, cls_Crypt__synth__analz_1, clsarity_nat__Lattices_Olattice, cls_UNIV__I_0, cls_HPair__synth__analz_1, 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_analz__insert__HPair_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_analz__insert__MPair_0, cls_msg_Osimps_I30_J_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_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_pushes_I1_J_0, cls_Crypt__synth_0, cls_Nonce__synth__eq_0, cls_event_Osimps_I8_J_0, cls_insert__absorb2_0, cls_analz__mono_0, cls_analz_OSnd_0, cls_Crypt__imp__keysFor_0, cls_parts__insert__eq__I_0, cls_subset__singletonD_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_analz__analz__Un_0, cls_synth__subset__iff_0, cls_Un__left__absorb_0, cls_msg_Osimps_I5_J_0, cls_event_Osimps_I1_J_0, cls_Crypt__notin__image__Key_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_HPair__synth__analz_2, 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_analz__insert__eq__I_1, 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_analz__insert__eq__I_0, 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_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_B__Issues__A_0, cls_keysFor__insert__Key_0, cls_Crypt__neq__HPair_0, cls_gen__analz__insert__eq_0, cls_HPair__eq__MPair_1, cls_Hash__synth__analz_1, cls_MPair__synth__analz_1, cls_knows__imp__Says__Gets__Notes__initState_0, 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_Agent__neq__HPair_0, cls_event_Osimps_I5_J_0, cls_sup__absorb1_0, cls_privateKey__into__used_0, cls_Nonce__Key__image__eq_0, cls_knows__Spy__Notes_0, cls_priK__neq__shrK_0, cls_parts__synth_0, cls_image__is__empty_0, cls_analz__image__freshK__lemma_1, cls_equalityE_0, cls_msg_Osimps_I37_J_0, cls_MPair__eq__HPair_2, cls_imageI_0, cls_parts__insert__Crypt_0, cls_Hash__neq__HPair_0, cls_ns__sharedp_ONS1_0, cls_knows__Spy__subset__knows__Spy__Gets_0, cls_ball__empty_0, cls_synth__mono_0, cls_synth__cut_0, cls_analz__insert__Nonce_0, cls_synth_OAgent_0, cls_Notes__imp__knows_0, cls_msg_Osimps_I11_J_0, cls_subset__insert__iff_1, cls_Crypt__imp__invKey__keysFor_0, cls_pushes_I6_J_0, cls_msg_Osimps_I33_J_0, cls_parts__insert__eq__I_1, clsarity_bool__Orderings_Otop, cls_publicKey__in__initState_0, cls_publicKey__image__eq_1, cls_analz__into__parts_0, cls_predicate1D_0, cls_analz__insert_0, cls_parts__insert__spies_0
% 195.18/71.58 % No. of inferences in proof: 2296
% 195.18/71.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 70985 ms resp. 69798 ms w/o parsing
% 185.74/72.16 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 185.74/72.18 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------