TSTP Solution File: SWV751-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV751-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:47:59 EDT 2023
% Result : Unsatisfiable 3.32s 3.39s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 112
% Syntax : Number of formulae : 176 ( 60 unt; 84 typ; 0 def)
% Number of atoms : 138 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 112 ( 66 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 100 ( 59 >; 41 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 68 ( 68 usr; 25 con; 0-4 aty)
% Number of variables : 177 ( 85 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Message_Oagent_OFriend: $i > $i ).
tff(decl_23,type,
c_Message_Oagent_OServer: $i ).
tff(decl_24,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_25,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_26,type,
tc_Message_Omsg: $i ).
tff(decl_27,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
c_Message_Oparts: $i > $i ).
tff(decl_29,type,
tc_bool: $i ).
tff(decl_30,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_31,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_32,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_Event_Oused: $i > $i ).
tff(decl_34,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
hBOOL: $i > $o ).
tff(decl_37,type,
c_Event_OinitState: $i > $i ).
tff(decl_38,type,
c_Message_Omsg_OKey: $i ).
tff(decl_39,type,
c_Message_OinvKey: $i ).
tff(decl_40,type,
c_Public_Okeymode_OEncryption: $i ).
tff(decl_41,type,
c_Public_OpublicKey: $i > $i ).
tff(decl_42,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_43,type,
c_Public_Okeymode_OSignature: $i ).
tff(decl_44,type,
c_Public_OshrK: $i ).
tff(decl_45,type,
tc_Message_Oagent: $i ).
tff(decl_46,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_47,type,
tc_nat: $i ).
tff(decl_48,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_50,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_51,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_52,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_53,type,
t_a: $i ).
tff(decl_54,type,
v_x: $i ).
tff(decl_55,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_56,type,
class_Orderings_Obot: $i > $o ).
tff(decl_57,type,
c_Message_Oanalz: $i > $i ).
tff(decl_58,type,
c_Message_Osynth: $i > $i ).
tff(decl_59,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
tc_Event_Oevent: $i ).
tff(decl_61,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_63,type,
c_Event_Obad: $i ).
tff(decl_64,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_65,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_66,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_67,type,
c_Message_Omsg_OHash: $i > $i ).
tff(decl_68,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_69,type,
c_Message_OkeysFor: $i > $i ).
tff(decl_70,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_71,type,
class_HOL_Oord: $i > $o ).
tff(decl_72,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_73,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_74,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_75,type,
c_List_Olists: ( $i * $i ) > $i ).
tff(decl_76,type,
tc_List_Olist: $i > $i ).
tff(decl_77,type,
c_List_Osko__List__Xin__lists__conv__set__1__1: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
v_sko__List__Xlists__Xinducts__2: ( $i * $i ) > $i ).
tff(decl_79,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_80,type,
t_b: $i ).
tff(decl_81,type,
class_HOL_Ouminus: $i > $o ).
tff(decl_82,type,
v_A: $i ).
tff(decl_83,type,
class_Orderings_Otop: $i > $o ).
tff(decl_84,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_85,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_86,type,
c_Message_OsymKeys: $i ).
tff(decl_87,type,
v_sko__List__Xlists__Xcases__1: ( $i * $i ) > $i ).
tff(decl_88,type,
v_sko__List__Xlists__Xcases__2: ( $i * $i ) > $i ).
tff(decl_89,type,
v_sko__List__Xlists__Xinduct__1: ( $i * $i ) > $i ).
tff(decl_90,type,
v_sko__List__Xlists__Xinduct__2: ( $i * $i ) > $i ).
tff(decl_91,type,
v_sko__List__Xlists__Xinducts__1: ( $i * $i ) > $i ).
tff(decl_92,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_93,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $i ).
tff(decl_94,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(decl_95,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1: ( $i * $i ) > $i ).
tff(decl_97,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2: ( $i * $i ) > $i ).
tff(decl_98,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
v_K_H: $i ).
tff(decl_100,type,
v_NA: $i ).
tff(decl_101,type,
v_B: $i ).
tff(decl_102,type,
v_K: $i ).
tff(decl_103,type,
v_X: $i ).
tff(decl_104,type,
v_evs: $i ).
tff(decl_105,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_keymode_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(v_K_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_4,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_Says__Server__message__form_2,axiom,
( X1 = hAPP(c_Public_OshrK,X2)
| ~ hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_2) ).
cnf(cls_predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_analz__subset__parts_0,axiom,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
cnf(cls_initState__Spy_0,axiom,
c_Event_OinitState(c_Message_Oagent_OSpy) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__Spy_0) ).
cnf(cls_knows__Nil_0,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
cnf(cls_Spy__see__shrK_0,axiom,
( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_image__Un_0,axiom,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Un_0) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I65_J_0) ).
cnf(cls_ns__shared_ONil_0,axiom,
hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONil_0) ).
cnf(cls_Says__Server__message__form_1,axiom,
( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
cnf(cls_analz__image__Key_0,axiom,
c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__Key_0) ).
cnf(cls_msg_Osimps_I18_J_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I18_J_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_msg_Osimps_I43_J_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).
cnf(cls_msg_Osimps_I12_J_0,axiom,
c_Message_Omsg_OAgent(X1) != hAPP(c_Message_Omsg_OKey,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I12_J_0) ).
cnf(cls_msg_Osimps_I46_J_0,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I46_J_0) ).
cnf(cls_msg_Osimps_I36_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I36_J_0) ).
cnf(cls_msg_Osimps_I33_J_0,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_ONonce(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I33_J_0) ).
cnf(c_0_28,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
cls_keymode_Oinduct_0 ).
cnf(c_0_29,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_30,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
cls_mem__def_0 ).
cnf(c_0_31,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(v_K_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
cls_conjecture_0 ).
cnf(c_0_32,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
cls_conjecture_4 ).
cnf(c_0_33,plain,
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),X3))
| ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),c_Public_Okeymode_OSignature)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2 ).
cnf(c_0_35,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_36,negated_conjecture,
hBOOL(hAPP(c_List_Oset(v_evs,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(v_K_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_38,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0 ).
cnf(c_0_39,plain,
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),X3))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,axiom,
( X1 = hAPP(c_Public_OshrK,X2)
| ~ hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
cls_Says__Server__message__form_2 ).
cnf(c_0_41,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(v_K_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),X1)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X1)),
inference(spm,[status(thm)],[c_0_35,c_0_37]) ).
cnf(c_0_43,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_predicate1D_0 ).
cnf(c_0_44,axiom,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__subset__parts_0 ).
cnf(c_0_45,axiom,
c_Event_OinitState(c_Message_Oagent_OSpy) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
cls_initState__Spy_0 ).
cnf(c_0_46,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
cls_knows__Nil_0 ).
cnf(c_0_47,plain,
( X1 = c_Public_Okeymode_OEncryption
| hBOOL(hAPP(X2,X1))
| ~ hBOOL(hAPP(X2,c_Public_Okeymode_OSignature)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,axiom,
( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
cls_Spy__see__shrK_0 ).
cnf(c_0_49,negated_conjecture,
hAPP(c_Public_OshrK,v_A) = v_K_H,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_50,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
cls_conjecture_2 ).
cnf(c_0_51,plain,
( hBOOL(hAPP(c_Message_Oparts(X1),X2))
| ~ hBOOL(hAPP(c_Message_Oanalz(X1),X2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,axiom,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
cls_image__Un_0 ).
cnf(c_0_54,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
cls_Un__commute_0 ).
cnf(c_0_55,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
cls_analz__image__freshK__simps_I65_J_0 ).
cnf(c_0_56,axiom,
hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
cls_ns__shared_ONil_0 ).
cnf(c_0_57,axiom,
( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)) ),
cls_Says__Server__message__form_1 ).
cnf(c_0_58,plain,
( X1 = c_Public_Okeymode_OEncryption
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_47,c_0_29]) ).
cnf(c_0_59,negated_conjecture,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K_H),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_60,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),X3))
| ~ hBOOL(hAPP(c_Message_Oanalz(X2),X1)) ),
inference(spm,[status(thm)],[c_0_35,c_0_51]) ).
cnf(c_0_61,axiom,
c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
cls_analz__image__Key_0 ).
cnf(c_0_62,plain,
c_Set_Oimage(c_Message_Omsg_OKey,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Set_Oimage(c_Message_OinvKey,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)),tc_nat,tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_53]),c_0_53]),c_0_54]),c_0_53]),c_0_55]),c_0_54]),c_0_53]),c_0_55]),c_0_55]),c_0_54]) ).
cnf(c_0_63,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,c_List_Olist_ONil(tc_Event_Oevent))),
inference(spm,[status(thm)],[c_0_30,c_0_56]) ).
cnf(c_0_64,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I18_J_0 ).
cnf(c_0_65,negated_conjecture,
c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))) = v_X,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_42])]) ).
cnf(c_0_66,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_67,plain,
( X1 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_38,c_0_58]) ).
cnf(c_0_68,negated_conjecture,
( ~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),hAPP(c_Message_Omsg_OKey,v_K_H)))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,plain,
c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,X1)),
inference(spm,[status(thm)],[c_0_35,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
c_Message_Omsg_OAgent(X1) != v_X,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,plain,
( X1 = c_Public_Okeymode_OSignature
| X1 = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,axiom,
c_Message_Omsg_OCrypt(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
cls_msg_Osimps_I43_J_0 ).
cnf(c_0_74,negated_conjecture,
~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),hAPP(c_Message_Omsg_OKey,v_K_H))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_75,axiom,
c_Message_Omsg_OAgent(X1) != hAPP(c_Message_Omsg_OKey,X2),
cls_msg_Osimps_I12_J_0 ).
cnf(c_0_76,negated_conjecture,
( c_Message_Omsg_OAgent(X1) = c_Public_Okeymode_OEncryption
| v_X != c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
hAPP(c_Message_Omsg_OKey,X1) != v_X,
inference(spm,[status(thm)],[c_0_73,c_0_65]) ).
cnf(c_0_78,negated_conjecture,
( hAPP(c_Message_Omsg_OKey,v_K_H) = c_Public_Okeymode_OSignature
| hAPP(c_Message_Omsg_OKey,v_K_H) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_74,c_0_67]) ).
cnf(c_0_79,negated_conjecture,
( hAPP(c_Message_Omsg_OKey,X1) != c_Public_Okeymode_OEncryption
| v_X != c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( hAPP(c_Message_Omsg_OKey,v_K_H) = c_Public_Okeymode_OEncryption
| v_X != c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I46_J_0 ).
cnf(c_0_82,negated_conjecture,
v_X != c_Public_Okeymode_OSignature,
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,negated_conjecture,
c_Message_Omsg_OHash(X1) != v_X,
inference(spm,[status(thm)],[c_0_81,c_0_65]) ).
cnf(c_0_84,negated_conjecture,
v_X = c_Public_Okeymode_OEncryption,
inference(spm,[status(thm)],[c_0_82,c_0_72]) ).
cnf(c_0_85,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I36_J_0 ).
cnf(c_0_86,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_ONonce(X2),
cls_msg_Osimps_I33_J_0 ).
cnf(c_0_87,negated_conjecture,
c_Message_Omsg_OHash(X1) != c_Public_Okeymode_OEncryption,
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
c_Message_Omsg_ONonce(X1) != v_X,
inference(spm,[status(thm)],[c_0_85,c_0_65]) ).
cnf(c_0_89,plain,
c_Message_Omsg_ONonce(X1) != c_Public_Okeymode_OSignature,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_72]),c_0_87]) ).
cnf(c_0_90,negated_conjecture,
c_Message_Omsg_ONonce(X1) != c_Public_Okeymode_OEncryption,
inference(rw,[status(thm)],[c_0_88,c_0_84]) ).
cnf(c_0_91,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_72]),c_0_90]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV751-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 02:58:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 3.32/3.39 % Version : CSE_E---1.5
% 3.32/3.39 % Problem : theBenchmark.p
% 3.32/3.39 % Proof found
% 3.32/3.39 % SZS status Theorem for theBenchmark.p
% 3.32/3.39 % SZS output start Proof
% See solution above
% 3.32/3.40 % Total time : 2.799000 s
% 3.32/3.40 % SZS output end Proof
% 3.32/3.40 % Total time : 2.818000 s
%------------------------------------------------------------------------------