TSTP Solution File: SWV750-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV750-1 : 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 : n021.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 21:47:58 EDT 2023
% Result : Unsatisfiable 1.28s 1.40s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 99
% Syntax : Number of formulae : 123 ( 17 unt; 89 typ; 0 def)
% Number of atoms : 57 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 32 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 106 ( 60 >; 46 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-4 aty)
% Number of functors : 70 ( 70 usr; 29 con; 0-4 aty)
% Number of variables : 73 ( 23 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,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_54,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_55,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(decl_56,type,
c_List_Oappend: ( $i * $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_OHPair: ( $i * $i ) > $i ).
tff(decl_68,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_69,type,
c_Message_Omsg_OHash: $i > $i ).
tff(decl_70,type,
c_List_Olists: ( $i * $i ) > $i ).
tff(decl_71,type,
tc_List_Olist: $i > $i ).
tff(decl_72,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_73,type,
c_Message_OkeysFor: $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,
class_Orderings_Otop: $i > $o ).
tff(decl_82,type,
class_HOL_Ouminus: $i > $o ).
tff(decl_83,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_84,type,
class_HOL_Oord: $i > $o ).
tff(decl_85,type,
c_Message_Oanalzp: ( $i * $i ) > $o ).
tff(decl_86,type,
t_b: $i ).
tff(decl_87,type,
v_A: $i ).
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_Message_OsymKeys: $i ).
tff(decl_92,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_93,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
c_Event_Obad: $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_B: $i ).
tff(decl_101,type,
v_evso: $i ).
tff(decl_102,type,
v_Ba: $i ).
tff(decl_103,type,
v_Aa: $i ).
tff(decl_104,type,
v_Ka: $i ).
tff(decl_105,type,
v_NB: $i ).
tff(decl_106,type,
v_NAa: $i ).
tff(decl_107,type,
v_X: $i ).
tff(decl_108,type,
v_NA: $i ).
tff(decl_109,type,
v_K: $i ).
tff(decl_110,type,
c_fequal: ( $i * $i * $i ) > $o ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
cnf(cls_analz__increasing_0,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__increasing_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_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/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
cnf(cls_knows__subset__knows__Cons_0,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(X3,X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
cnf(cls_knows__Says_0,axiom,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Says_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(c_0_10,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_predicate1D_0 ).
cnf(c_0_11,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_12,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__increasing_0 ).
cnf(c_0_13,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_14,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_15,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_16,plain,
( hBOOL(hAPP(c_Message_Oparts(X1),X2))
| ~ hBOOL(hAPP(c_Message_Oanalz(X1),X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,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_18,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_19,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_13,c_0_14]) ).
cnf(c_0_20,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),X3))
| ~ hBOOL(hAPP(c_Message_Oanalz(X2),X1)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ hBOOL(hAPP(c_Message_Oanalz(X1),c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X1)))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_24,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(X3,X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
cls_knows__subset__knows__Cons_0 ).
cnf(c_0_25,plain,
( ~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Public_Okeymode_OSignature)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( hBOOL(hAPP(c_Event_Oknows(X1,c_List_Olist_OCons(X2,X3,tc_Event_Oevent)),X4))
| ~ hBOOL(hAPP(c_Event_Oknows(X1,X3),X4)) ),
inference(spm,[status(thm)],[c_0_10,c_0_24]) ).
cnf(c_0_27,plain,
( ~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,X2,tc_Event_Oevent)),c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X2),c_Public_Okeymode_OSignature)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,axiom,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg),
cls_knows__Says_0 ).
cnf(c_0_29,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg),c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X2),c_Public_Okeymode_OSignature)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_31,plain,
~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Public_Okeymode_OSignature)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,plain,
~ hBOOL(hAPP(c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg),c_Public_Okeymode_OSignature)),
inference(spm,[status(thm)],[c_0_31,c_0_28]) ).
cnf(c_0_33,plain,
$false,
inference(spm,[status(thm)],[c_0_32,c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV750-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 07:31:14 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 1.28/1.40 % Version : CSE_E---1.5
% 1.28/1.40 % Problem : theBenchmark.p
% 1.28/1.40 % Proof found
% 1.28/1.40 % SZS status Theorem for theBenchmark.p
% 1.28/1.40 % SZS output start Proof
% See solution above
% 1.28/1.41 % Total time : 0.799000 s
% 1.28/1.41 % SZS output end Proof
% 1.28/1.41 % Total time : 0.820000 s
%------------------------------------------------------------------------------