TSTP Solution File: SWV770-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV770-1 : 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 : n029.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 21:48:05 EDT 2023
% Result : Unsatisfiable 5.22s 5.31s
% Output : CNFRefutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 105
% Syntax : Number of formulae : 144 ( 29 unt; 88 typ; 0 def)
% Number of atoms : 87 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 35 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 122 ( 65 >; 57 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-4 aty)
% Number of functors : 69 ( 69 usr; 23 con; 0-4 aty)
% Number of variables : 157 ( 57 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
tc_Message_Omsg: $i ).
tff(decl_23,type,
tc_bool: $i ).
tff(decl_24,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_25,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_26,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
c_Message_Oparts: $i > $i ).
tff(decl_28,type,
c_Message_Oanalz: $i > $i ).
tff(decl_29,type,
c_Message_Osynth: $i > $i ).
tff(decl_30,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
hBOOL: $i > $o ).
tff(decl_34,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_35,type,
tc_Event_Oevent: $i ).
tff(decl_36,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
c_Event_Oused: $i > $i ).
tff(decl_38,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_40,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_42,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_43,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_44,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_45,type,
class_Orderings_Obot: $i > $o ).
tff(decl_46,type,
t_a: $i ).
tff(decl_47,type,
v_x: $i ).
tff(decl_48,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_49,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_50,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_51,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_52,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_53,type,
c_Message_OHPair: ( $i * $i ) > $i ).
tff(decl_54,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_55,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_56,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(decl_57,type,
c_Message_Oagent_OServer: $i ).
tff(decl_58,type,
c_Event_OinitState: $i > $i ).
tff(decl_59,type,
c_Message_Omsg_OKey: $i ).
tff(decl_60,type,
c_Message_OinvKey: $i ).
tff(decl_61,type,
c_Public_Okeymode_OEncryption: $i ).
tff(decl_62,type,
c_Public_OpublicKey: $i > $i ).
tff(decl_63,type,
c_Public_Okeymode_OSignature: $i ).
tff(decl_64,type,
tc_Message_Oagent: $i ).
tff(decl_65,type,
tc_nat: $i ).
tff(decl_66,type,
c_Public_OshrK: $i ).
tff(decl_67,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_68,type,
c_Message_Omsg_OHash: $i > $i ).
tff(decl_69,type,
c_List_Olists: ( $i * $i ) > $i ).
tff(decl_70,type,
tc_List_Olist: $i > $i ).
tff(decl_71,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_72,type,
c_Message_OkeysFor: $i > $i ).
tff(decl_73,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_75,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_76,type,
c_List_Olist__inter: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_78,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $i ).
tff(decl_79,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_80,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_81,type,
t_b: $i ).
tff(decl_82,type,
class_HOL_Ouminus: $i > $o ).
tff(decl_83,type,
v_A: $i ).
tff(decl_84,type,
class_Orderings_Otop: $i > $o ).
tff(decl_85,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_86,type,
class_HOL_Oord: $i > $o ).
tff(decl_87,type,
c_Message_Oanalzp: ( $i * $i ) > $o ).
tff(decl_88,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_89,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_90,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(decl_91,type,
c_Event_Obad: $i ).
tff(decl_92,type,
c_Message_OsymKeys: $i ).
tff(decl_93,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_94,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1: ( $i * $i ) > $i ).
tff(decl_96,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2: ( $i * $i ) > $i ).
tff(decl_97,type,
c_Public_Osko__Public__XNonce__supply1__1__1: $i > $i ).
tff(decl_98,type,
c_ATP__Linkup_Osko__Set__XrangeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
c_List_Olength__unique: ( $i * $i ) > $i ).
tff(decl_100,type,
v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
v_K: $i ).
tff(decl_106,type,
v_NB: $i ).
tff(decl_107,type,
v_evs: $i ).
tff(decl_108,type,
v_B: $i ).
tff(decl_109,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_parts_OBody_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_parts_OInj_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
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_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
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__commute_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
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_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__increasing_0,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
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_parts__insert__MPair_0,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).
cnf(cls_Nonce__supply1_0,axiom,
~ hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X1)),c_Event_Oused(X1),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__supply1_0) ).
cnf(cls_usedI_0,axiom,
( hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).
cnf(cls_parts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__analz_0) ).
cnf(cls_knows__Notes_0,axiom,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Notes_0) ).
cnf(cls_parts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
cnf(c_0_17,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
cls_parts_OBody_0 ).
cnf(c_0_18,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
cls_parts_OInj_0 ).
cnf(c_0_19,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_20,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_21,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,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_24,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
cls_insert__commute_0 ).
cnf(c_0_25,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_insert__absorb_0 ).
cnf(c_0_26,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
cls_mem__def_0 ).
cnf(c_0_27,plain,
hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X1),X3,X4)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),X3))
| ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_29,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),X2)),
inference(spm,[status(thm)],[c_0_20,c_0_24]) ).
cnf(c_0_30,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X2,X4)) ),
inference(spm,[status(thm)],[c_0_22,c_0_25]) ).
cnf(c_0_31,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_predicate1D_0 ).
cnf(c_0_32,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__increasing_0 ).
cnf(c_0_33,plain,
hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,X4)),X2)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24]) ).
cnf(c_0_35,plain,
hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X1),X3,X4)),X5)),
inference(spm,[status(thm)],[c_0_30,c_0_27]) ).
cnf(c_0_36,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2 ).
cnf(c_0_38,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
cls_parts__insert__MPair_0 ).
cnf(c_0_39,plain,
( hBOOL(hAPP(c_Message_Oparts(X1),X2))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X2),X1,X4)) ),
inference(spm,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_40,plain,
hBOOL(c_in(X1,c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X2,X3),X3),X4)),
inference(spm,[status(thm)],[c_0_19,c_0_34]) ).
cnf(c_0_41,axiom,
~ hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X1)),c_Event_Oused(X1),tc_Message_Omsg)),
cls_Nonce__supply1_0 ).
cnf(c_0_42,axiom,
( hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
cls_usedI_0 ).
cnf(c_0_43,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),X3))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X4,X1),X2,X5)) ),
inference(spm,[status(thm)],[c_0_35,c_0_25]) ).
cnf(c_0_44,plain,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),X3))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_36]) ).
cnf(c_0_45,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0 ).
cnf(c_0_46,plain,
( hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)),X4))
| ~ hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),X4)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),X2)),X3)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
~ hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,axiom,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg),
cls_knows__Notes_0 ).
cnf(c_0_50,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),X3))
| ~ hBOOL(hAPP(X2,c_Message_Omsg_OCrypt(X4,X1))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_51,plain,
hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Public_Okeymode_OEncryption,c_Public_Okeymode_OSignature),X1,tc_Message_Omsg)),X2)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0 ).
cnf(c_0_53,plain,
~ hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X1),X2,tc_Event_Oevent))),c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,plain,
hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Public_Okeymode_OEncryption,c_Public_Okeymode_OSignature),X2,tc_Message_Omsg)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_55,plain,
$false,
inference(spm,[status(thm)],[c_0_53,c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV770-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 07:24:41 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof: theBenchmark
% 5.22/5.31 % Version : CSE_E---1.5
% 5.22/5.31 % Problem : theBenchmark.p
% 5.22/5.31 % Proof found
% 5.22/5.31 % SZS status Theorem for theBenchmark.p
% 5.22/5.31 % SZS output start Proof
% See solution above
% 5.22/5.32 % Total time : 4.730000 s
% 5.22/5.32 % SZS output end Proof
% 5.22/5.32 % Total time : 4.751000 s
%------------------------------------------------------------------------------