TSTP Solution File: SWV756-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV756-1 : 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 : n020.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 21:48:00 EDT 2023
% Result : Unsatisfiable 0.47s 0.66s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 93
% Syntax : Number of formulae : 111 ( 18 unt; 84 typ; 0 def)
% Number of atoms : 42 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 54 >; 38 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 67 ( 67 usr; 30 con; 0-4 aty)
% Number of variables : 34 ( 12 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Message_OinvKey: $i ).
tff(decl_23,type,
c_Public_OpublicKey: $i > $i ).
tff(decl_24,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_25,type,
tc_Message_Oagent: $i ).
tff(decl_26,type,
tc_nat: $i ).
tff(decl_27,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
hBOOL: $i > $o ).
tff(decl_30,type,
c_Public_OshrK: $i ).
tff(decl_31,type,
c_Message_Oagent_OFriend: $i > $i ).
tff(decl_32,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_33,type,
c_Message_Oagent_OServer: $i ).
tff(decl_34,type,
tc_bool: $i ).
tff(decl_35,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_36,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_37,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_38,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_40,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_41,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_43,type,
c_Public_Okeymode_OSignature: $i ).
tff(decl_44,type,
c_Public_Okeymode_OEncryption: $i ).
tff(decl_45,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_46,type,
t_b: $i ).
tff(decl_47,type,
class_HOL_Ouminus: $i > $o ).
tff(decl_48,type,
v_A: $i ).
tff(decl_49,type,
t_a: $i ).
tff(decl_50,type,
v_x: $i ).
tff(decl_51,type,
c_Message_OkeysFor: $i > $i ).
tff(decl_52,type,
tc_Message_Omsg: $i ).
tff(decl_53,type,
c_Event_OinitState: $i > $i ).
tff(decl_54,type,
c_Message_Omsg_OKey: $i ).
tff(decl_55,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
c_Event_Obad: $i ).
tff(decl_57,type,
c_Message_OsymKeys: $i ).
tff(decl_58,type,
class_Orderings_Obot: $i > $o ).
tff(decl_59,type,
c_Message_Osynth: $i > $i ).
tff(decl_60,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_61,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_62,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_63,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_64,type,
c_Message_Oparts: $i > $i ).
tff(decl_65,type,
c_Message_Oanalz: $i > $i ).
tff(decl_66,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_67,type,
c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).
tff(decl_68,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_70,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_71,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
tc_Event_Oevent: $i ).
tff(decl_73,type,
c_Event_Oused: $i > $i ).
tff(decl_74,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_75,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_76,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_77,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(decl_78,type,
tc_List_Olist: $i > $i ).
tff(decl_79,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $i ).
tff(decl_80,type,
class_Orderings_Otop: $i > $o ).
tff(decl_81,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_82,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_83,type,
c_Message_Osko__Message__Xparts__insert__eq__I__1__1: ( $i * $i ) > $i ).
tff(decl_84,type,
c_Message_Osko__Message__Xanalz__insert__eq__I__1__1: ( $i * $i ) > $i ).
tff(decl_85,type,
c_Public_Osko__Public__XNonce__supply1__1__1: $i > $i ).
tff(decl_86,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_87,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
class_HOL_Oord: $i > $o ).
tff(decl_91,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_92,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_93,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
v_evs2: $i ).
tff(decl_95,type,
v_KAB: $i ).
tff(decl_96,type,
v_A_H: $i ).
tff(decl_97,type,
v_Aa: $i ).
tff(decl_98,type,
v_Ba: $i ).
tff(decl_99,type,
v_NAa: $i ).
tff(decl_100,type,
v_K: $i ).
tff(decl_101,type,
v_NA: $i ).
tff(decl_102,type,
v_B: $i ).
tff(decl_103,type,
v_X: $i ).
tff(decl_104,type,
v_NB: $i ).
tff(decl_105,type,
c_fequal: ( $i * $i * $i ) > $o ).
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_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_conjecture_10,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(cls_conjecture_2,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_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_conjecture_0,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Crypt__imp__keysFor_0,axiom,
( hBOOL(c_in(X1,c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
cnf(cls_new__keys__not__used_0,axiom,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_9,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_10,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_insert__absorb_0 ).
cnf(c_0_11,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
cls_conjecture_10 ).
cnf(c_0_13,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
cls_conjecture_2 ).
cnf(c_0_14,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_15,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
hBOOL(hAPP(c_Message_OsymKeys,v_KAB)),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
cls_conjecture_0 ).
cnf(c_0_18,axiom,
( hBOOL(c_in(X1,c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
cls_Crypt__imp__keysFor_0 ).
cnf(c_0_19,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),X1)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_22,axiom,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)) ),
cls_new__keys__not__used_0 ).
cnf(c_0_23,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_24,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
cls_conjecture_1 ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_20])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SWV756-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29 % Computer : n020.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Aug 29 08:09:13 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.13/0.50 start to proof: theBenchmark
% 0.47/0.66 % Version : CSE_E---1.5
% 0.47/0.66 % Problem : theBenchmark.p
% 0.47/0.66 % Proof found
% 0.47/0.66 % SZS status Theorem for theBenchmark.p
% 0.47/0.66 % SZS output start Proof
% See solution above
% 0.47/0.66 % Total time : 0.133000 s
% 0.47/0.66 % SZS output end Proof
% 0.47/0.66 % Total time : 0.150000 s
%------------------------------------------------------------------------------