TSTP Solution File: SWV731-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV731-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 21:47:54 EDT 2023
% Result : Unsatisfiable 9.21s 9.49s
% Output : CNFRefutation 9.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 90
% Syntax : Number of formulae : 102 ( 9 unt; 83 typ; 0 def)
% Number of atoms : 41 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 125 ( 60 >; 65 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-5 aty)
% Number of functors : 64 ( 64 usr; 23 con; 0-5 aty)
% Number of variables : 52 ( 18 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 ).
tff(decl_33,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_34,type,
hBOOL: $i > $o ).
tff(decl_35,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_36,type,
tc_Event_Oevent: $i ).
tff(decl_37,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
c_Event_Oused: $i > $i ).
tff(decl_39,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Message_OkeysFor: $i > $i ).
tff(decl_41,type,
tc_nat: $i ).
tff(decl_42,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_43,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_44,type,
c_Public_Okeymode_OEncryption: $i ).
tff(decl_45,type,
c_Public_Okeymode_OSignature: $i ).
tff(decl_46,type,
c_Message_Oagent_OServer: $i ).
tff(decl_47,type,
c_Event_OinitState: $i > $i ).
tff(decl_48,type,
c_Message_Omsg_OKey: $i ).
tff(decl_49,type,
c_Message_OinvKey: $i ).
tff(decl_50,type,
c_Public_OpublicKey: $i > $i ).
tff(decl_51,type,
tc_Message_Oagent: $i ).
tff(decl_52,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_53,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
c_Public_OshrK: $i ).
tff(decl_55,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_56,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_57,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_59,type,
c_Hilbert__Choice_Oinv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_61,type,
t_a: $i ).
tff(decl_62,type,
v_x: $i ).
tff(decl_63,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_64,type,
class_Orderings_Obot: $i > $o ).
tff(decl_65,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_66,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_67,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_68,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_69,type,
c_Message_Omsg_OHash: $i > $i ).
tff(decl_70,type,
c_Message_Osynthp: ( $i * $i ) > $i ).
tff(decl_71,type,
c_Fun_Osurj: ( $i * $i * $i ) > $o ).
tff(decl_72,type,
c_Fun_Obij: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_74,type,
c_Event_Obad: $i ).
tff(decl_75,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_76,type,
class_HOL_Oord: $i > $o ).
tff(decl_77,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_78,type,
class_Orderings_Otop: $i > $o ).
tff(decl_79,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_80,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_81,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_82,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_84,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_85,type,
c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_87,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $i ).
tff(decl_88,type,
tc_List_Olist: $i > $i ).
tff(decl_89,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(decl_90,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1: ( $i * $i ) > $i ).
tff(decl_94,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2: ( $i * $i ) > $i ).
tff(decl_95,type,
c_Message_OsymKeys: $i ).
tff(decl_96,type,
c_Typedef_Otype__definition: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_97,type,
c_ATP__Linkup_Osko__Set__XrangeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
v_A: $i ).
tff(decl_99,type,
v_NA: $i ).
tff(decl_100,type,
v_B: $i ).
tff(decl_101,type,
v_K: $i ).
tff(decl_102,type,
v_X: $i ).
tff(decl_103,type,
v_evs: $i ).
tff(decl_104,type,
c_fequal: ( $i * $i * $i ) > $o ).
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(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X5),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
cnf(cls_A__trusts__NS2_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))))),c_List_Oset(X6,tc_Event_Oevent)))
| hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),X1),c_Event_Obad))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
cnf(cls_Says__Server__message__form_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),X1),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X2),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))))),c_List_Oset(X2,tc_Event_Oevent))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_0) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_nat),v_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| v_X != 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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_7,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(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X5),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))) ),
cls_Says__Server__message__form_1 ).
cnf(c_0_8,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))))),c_List_Oset(X6,tc_Event_Oevent)))
| hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),X1),c_Event_Obad))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)))) ),
cls_A__trusts__NS2_0 ).
cnf(c_0_9,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),X1),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X2),c_NS__Shared__Mirabelle_Ons__shared))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))))),c_List_Oset(X2,tc_Event_Oevent))) ),
cls_Says__Server__message__form_0 ).
cnf(c_0_10,plain,
( 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(hAPP(hAPP(c_in(tc_Message_Oagent),X4),c_Event_Obad))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),
cls_conjecture_0 ).
cnf(c_0_12,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
cls_conjecture_2 ).
cnf(c_0_13,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)),
cls_conjecture_1 ).
cnf(c_0_14,plain,
( hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),X1),c_Event_Obad))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_nat),X4),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),X6),c_NS__Shared__Mirabelle_Ons__shared)) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_nat),v_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
| v_X != 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))) ),
cls_conjecture_3 ).
cnf(c_0_16,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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_nat),v_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : SWV731-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.17 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.18/0.38 % Computer : n015.cluster.edu
% 0.18/0.38 % Model : x86_64 x86_64
% 0.18/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.38 % Memory : 8042.1875MB
% 0.18/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38 % CPULimit : 300
% 0.18/0.38 % WCLimit : 300
% 0.18/0.38 % DateTime : Tue Aug 29 09:31:56 EDT 2023
% 0.18/0.38 % CPUTime :
% 0.24/0.63 start to proof: theBenchmark
% 9.21/9.49 % Version : CSE_E---1.5
% 9.21/9.49 % Problem : theBenchmark.p
% 9.21/9.49 % Proof found
% 9.21/9.49 % SZS status Theorem for theBenchmark.p
% 9.21/9.49 % SZS output start Proof
% See solution above
% 9.21/9.49 % Total time : 8.834000 s
% 9.21/9.49 % SZS output end Proof
% 9.21/9.49 % Total time : 8.854000 s
%------------------------------------------------------------------------------