TSTP Solution File: SWV763-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV763-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n024.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 : Tue Aug 22 11:05:36 EDT 2023
% Result : Unsatisfiable 53.70s 36.66s
% Output : CNFRefutation 53.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 108
% Syntax : Number of formulae : 146 ( 27 unt; 93 typ; 0 def)
% Number of atoms : 85 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 35 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 132 ( 66 >; 66 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-4 aty)
% Number of functors : 74 ( 74 usr; 27 con; 0-5 aty)
% Number of variables : 62 (; 62 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Fun_Oinj__on > c_lessequals > c_fequal > c_List_Olinorder__class_Osorted > c_List_Odistinct > hBOOL > class_Orderings_Otop > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Ogroup__add > class_Lattices_Oupper__semilattice > class_Lattices_Olattice > class_Lattices_Obounded__lattice > class_Lattices_Oboolean__algebra > class_HOL_Ouminus > class_HOL_Oord > class_Complete__Lattice_Ocomplete__lattice > c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 > c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 > v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 > c_Set_Oimage > c_List_Olist__update > c_ATP__Linkup_Osko__Set__XrangeE__1__1 > v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 > v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 > v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1 > c_in > c_Set_Oinsert > c_List_Olist__inter > c_List_Olist_OCons > c_List_Oappend > c_Lattices_Oupper__semilattice__class_Osup > c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 > c_Event_Oevent_OSays > tc_fun > hAPP > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_List_Oremdups > c_List_Olists > c_List_Olength__unique > c_Inductive_Ocomplete__lattice__class_Ogfp > c_HOL_Ouminus__class_Ouminus > c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2 > c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 > c_Event_Oknows > c_Event_Oevent_ONotes > c_Event_Oevent_OGets > #nlpp > tc_List_Olist > c_Public_Osko__Public__XNonce__supply1__1__1 > c_Public_OpublicKey > c_Orderings_Otop__class_Otop > c_NS__Shared__Mirabelle_Ons__sharedp > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OAgent > c_Message_OkeysFor > c_Message_OinvKey > c_Message_Oanalz > c_List_Olist_ONil > c_Event_Oused > c_Event_OinitState > v_x > v_evs2 > v_X > v_NB > v_NAa > v_NA > v_KAB > v_K > v_Ba > v_B > v_Aa > v_A_H > v_A > tc_nat > tc_bool > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > t_b > t_a > c_Public_OshrK > c_NS__Shared__Mirabelle_Ons__shared > c_Message_OsymKeys > c_Message_Omsg_OKey > c_Message_Oagent_OSpy > c_Message_Oagent_OServer > c_Event_Obad
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_List_Olist__inter,type,
c_List_Olist__inter: ( $i * $i * $i ) > $i ).
tff(v_x,type,
v_x: $i ).
tff(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1,type,
c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OMPair,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(c_Event_Oknows,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1,type,
c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_K,type,
v_K: $i ).
tff(c_List_Olist_ONil,type,
c_List_Olist_ONil: $i > $i ).
tff(v_X,type,
v_X: $i ).
tff(c_List_Odistinct,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(c_Orderings_Otop__class_Otop,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(c_List_Oappend,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(c_NS__Shared__Mirabelle_Ons__sharedp,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $i ).
tff(c_Message_OkeysFor,type,
c_Message_OkeysFor: $i > $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
tff(v_A_H,type,
v_A_H: $i ).
tff(v_NAa,type,
v_NAa: $i ).
tff(class_Lattices_Obounded__lattice,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(c_Public_Osko__Public__XNonce__supply1__1__1,type,
c_Public_Osko__Public__XNonce__supply1__1__1: $i > $i ).
tff(c_Event_OinitState,type,
c_Event_OinitState: $i > $i ).
tff(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1,type,
v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1: ( $i * $i * $i ) > $i ).
tff(c_Event_Obad,type,
c_Event_Obad: $i ).
tff(t_a,type,
t_a: $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(v_KAB,type,
v_KAB: $i ).
tff(c_Fun_Oinj__on,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(c_List_Olists,type,
c_List_Olists: ( $i * $i ) > $i ).
tff(v_NA,type,
v_NA: $i ).
tff(v_NB,type,
v_NB: $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $i ).
tff(v_evs2,type,
v_evs2: $i ).
tff(class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(c_Inductive_Ocomplete__lattice__class_Ogfp,type,
c_Inductive_Ocomplete__lattice__class_Ogfp: ( $i * $i ) > $i ).
tff(tc_Message_Oagent,type,
tc_Message_Oagent: $i ).
tff(c_List_Oremdups,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
tff(class_Orderings_Otop,type,
class_Orderings_Otop: $i > $o ).
tff(c_List_Olinorder__class_Osorted,type,
c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).
tff(v_Aa,type,
v_Aa: $i ).
tff(c_Message_Omsg_OAgent,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(tc_List_Olist,type,
tc_List_Olist: $i > $i ).
tff(c_Message_OsymKeys,type,
c_Message_OsymKeys: $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_List_Olist__update,type,
c_List_Olist__update: ( $i * $i * $i * $i ) > $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_ATP__Linkup_Osko__Set__XrangeE__1__1,type,
c_ATP__Linkup_Osko__Set__XrangeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: ( $i * $i * $i ) > $i ).
tff(c_Event_Oused,type,
c_Event_Oused: $i > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(tc_bool,type,
tc_bool: $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1,type,
v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: ( $i * $i * $i ) > $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2: ( $i * $i ) > $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_NS__Shared__Mirabelle_Ons__shared,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(c_Public_OpublicKey,type,
c_Public_OpublicKey: $i > $i ).
tff(c_fequal,type,
c_fequal: ( $i * $i * $i ) > $o ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $i ).
tff(c_Event_Oevent_ONotes,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(v_B,type,
v_B: $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
tff(c_List_Olist_OCons,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(c_HOL_Ouminus__class_Ouminus,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1: ( $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(v_Ba,type,
v_Ba: $i ).
tff(c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(class_HOL_Ouminus,type,
class_HOL_Ouminus: $i > $o ).
tff(c_Message_OinvKey,type,
c_Message_OinvKey: $i > $i ).
tff(c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(v_A,type,
v_A: $i ).
tff(c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(t_b,type,
t_b: $i ).
tff(c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i ).
tff(c_Set_Oimage,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(class_Complete__Lattice_Ocomplete__lattice,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(c_List_Olength__unique,type,
c_List_Olength__unique: ( $i * $i ) > $i ).
tff(f_2967,axiom,
v_K = v_KAB,
file(unknown,unknown) ).
tff(f_2959,axiom,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file(unknown,unknown) ).
tff(f_2957,axiom,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file(unknown,unknown) ).
tff(f_2871,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ hBOOL(c_in(V_x,V_S,T_a)) ),
file(unknown,unknown) ).
tff(f_2866,axiom,
! [V_x,V_S,T_a] :
( hBOOL(c_in(V_x,V_S,T_a))
| ~ hBOOL(hAPP(V_S,V_x)) ),
file(unknown,unknown) ).
tff(f_912,axiom,
! [V_a,V_A,T_a] :
( ( c_Set_Oinsert(V_a,V_A,T_a) = V_A )
| ~ hBOOL(c_in(V_a,V_A,T_a)) ),
file(unknown,unknown) ).
tff(f_842,axiom,
! [V_x,V_B,T_a] : hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)),
file(unknown,unknown) ).
tff(f_2960,axiom,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file(unknown,unknown) ).
tff(f_1436,axiom,
! [V_K] :
( ( c_Message_OinvKey(V_K) = V_K )
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ),
file(unknown,unknown) ).
tff(f_327,axiom,
! [V_K] : ( c_Message_OinvKey(c_Message_OinvKey(V_K)) = V_K ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [V_K,V_K_H] :
( ( c_Message_OinvKey(V_K) != c_Message_OinvKey(V_K_H) )
| ( V_K = V_K_H ) ),
file(unknown,unknown) ).
tff(f_1426,axiom,
! [V_K] :
( hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)) ),
file(unknown,unknown) ).
tff(f_2969,axiom,
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(unknown,unknown) ).
tff(f_1539,axiom,
! [V_K,V_H,V_X] :
( hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ),
file(unknown,unknown) ).
tff(f_2546,axiom,
! [V_K,V_evs] :
( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ),
file(unknown,unknown) ).
tff(c_1140,plain,
v_KAB = v_K,
inference(cnfTransformation,[status(thm)],[f_2967]) ).
tff(c_1126,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_2959]) ).
tff(c_1216,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(demodulation,[status(thm),theory(equality)],[c_1140,c_1126]) ).
tff(c_1124,plain,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnfTransformation,[status(thm)],[f_2957]) ).
tff(c_2034,plain,
! [V_x_2097,V_S_2098,T_a_2099] :
( ~ hBOOL(c_in(V_x_2097,V_S_2098,T_a_2099))
| hBOOL(hAPP(V_S_2098,V_x_2097)) ),
inference(cnfTransformation,[status(thm)],[f_2871]) ).
tff(c_2073,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(resolution,[status(thm)],[c_1124,c_2034]) ).
tff(c_1080,plain,
! [V_S_1763,V_x_1762,T_a_1764] :
( ~ hBOOL(hAPP(V_S_1763,V_x_1762))
| hBOOL(c_in(V_x_1762,V_S_1763,T_a_1764)) ),
inference(cnfTransformation,[status(thm)],[f_2866]) ).
tff(c_2762,plain,
! [V_a_2262,V_A_2263,T_a_2264] :
( ~ hBOOL(c_in(V_a_2262,V_A_2263,T_a_2264))
| ( c_Set_Oinsert(V_a_2262,V_A_2263,T_a_2264) = V_A_2263 ) ),
inference(cnfTransformation,[status(thm)],[f_912]) ).
tff(c_4559,plain,
! [V_x_2351,V_S_2352,T_a_2353] :
( ( c_Set_Oinsert(V_x_2351,V_S_2352,T_a_2353) = V_S_2352 )
| ~ hBOOL(hAPP(V_S_2352,V_x_2351)) ),
inference(resolution,[status(thm)],[c_1080,c_2762]) ).
tff(c_4622,plain,
! [T_a_2355] : ( c_Set_Oinsert(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,T_a_2355) = c_NS__Shared__Mirabelle_Ons__shared ),
inference(resolution,[status(thm)],[c_2073,c_4559]) ).
tff(c_346,plain,
! [V_x_523,V_B_524,T_a_525] : hBOOL(c_in(V_x_523,c_Set_Oinsert(V_x_523,V_B_524,T_a_525),T_a_525)),
inference(cnfTransformation,[status(thm)],[f_842]) ).
tff(c_4633,plain,
! [T_a_2355] : hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,T_a_2355)),
inference(superposition,[status(thm),theory(equality)],[c_4622,c_346]) ).
tff(c_1128,plain,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
inference(cnfTransformation,[status(thm)],[f_2960]) ).
tff(c_1215,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(demodulation,[status(thm),theory(equality)],[c_1140,c_1128]) ).
tff(c_1641,plain,
! [V_K_1998] :
( ~ hBOOL(c_in(V_K_1998,c_Message_OsymKeys,tc_nat))
| ( c_Message_OinvKey(V_K_1998) = V_K_1998 ) ),
inference(cnfTransformation,[status(thm)],[f_1436]) ).
tff(c_1650,plain,
c_Message_OinvKey(v_K) = v_K,
inference(resolution,[status(thm)],[c_1215,c_1641]) ).
tff(c_140,plain,
! [V_K_205] : ( c_Message_OinvKey(c_Message_OinvKey(V_K_205)) = V_K_205 ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_1448,plain,
! [V_K_H_1916,V_K_1917] :
( ( V_K_H_1916 = V_K_1917 )
| ( c_Message_OinvKey(V_K_H_1916) != c_Message_OinvKey(V_K_1917) ) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_1454,plain,
! [V_K_205,V_K_H_1916] :
( ( c_Message_OinvKey(V_K_205) = V_K_H_1916 )
| ( c_Message_OinvKey(V_K_H_1916) != V_K_205 ) ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_1448]) ).
tff(c_1653,plain,
! [V_K_205] :
( ( c_Message_OinvKey(V_K_205) = v_K )
| ( v_K != V_K_205 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1650,c_1454]) ).
tff(c_3492,plain,
! [V_K_2290] :
( ~ hBOOL(c_in(c_Message_OinvKey(V_K_2290),c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(V_K_2290,c_Message_OsymKeys,tc_nat)) ),
inference(cnfTransformation,[status(thm)],[f_1426]) ).
tff(c_3501,plain,
! [V_K_205] :
( ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(V_K_205,c_Message_OsymKeys,tc_nat))
| ( v_K != V_K_205 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1653,c_3492]) ).
tff(c_3590,plain,
! [V_K_2294] :
( hBOOL(c_in(V_K_2294,c_Message_OsymKeys,tc_nat))
| ( v_K != V_K_2294 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1215,c_3501]) ).
tff(c_1082,plain,
! [V_x_1766,V_S_1765,T_a_1767] :
( ~ hBOOL(c_in(V_x_1766,V_S_1765,T_a_1767))
| hBOOL(hAPP(V_S_1765,V_x_1766)) ),
inference(cnfTransformation,[status(thm)],[f_2871]) ).
tff(c_3611,plain,
! [V_K_2294] :
( hBOOL(hAPP(c_Message_OsymKeys,V_K_2294))
| ( v_K != V_K_2294 ) ),
inference(resolution,[status(thm)],[c_3590,c_1082]) ).
tff(c_4798,plain,
! [V_K_2369,T_a_2370] :
( ( c_Set_Oinsert(V_K_2369,c_Message_OsymKeys,T_a_2370) = c_Message_OsymKeys )
| ( v_K != V_K_2369 ) ),
inference(resolution,[status(thm)],[c_3611,c_4559]) ).
tff(c_4864,plain,
! [T_a_2370] : hBOOL(c_in(v_K,c_Message_OsymKeys,T_a_2370)),
inference(superposition,[status(thm),theory(equality)],[c_4798,c_346]) ).
tff(c_582,plain,
! [V_K_882] :
( ~ hBOOL(c_in(V_K_882,c_Message_OsymKeys,tc_nat))
| ( c_Message_OinvKey(V_K_882) = V_K_882 ) ),
inference(cnfTransformation,[status(thm)],[f_1436]) ).
tff(c_3615,plain,
c_Message_OinvKey(v_K) = v_K,
inference(resolution,[status(thm)],[c_3590,c_582]) ).
tff(c_1144,plain,
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)),
inference(cnfTransformation,[status(thm)],[f_2969]) ).
tff(c_1206,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(demodulation,[status(thm),theory(equality)],[c_1140,c_1144]) ).
tff(c_16262,plain,
! [V_K_2789,V_X_2790,V_H_2791] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K_2789,V_X_2790),V_H_2791,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(V_K_2789),c_Message_OkeysFor(V_H_2791),tc_nat)) ),
inference(cnfTransformation,[status(thm)],[f_1539]) ).
tff(c_16296,plain,
hBOOL(c_in(c_Message_OinvKey(v_K),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(resolution,[status(thm)],[c_1206,c_16262]) ).
tff(c_16322,plain,
hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(demodulation,[status(thm),theory(equality)],[c_3615,c_16296]) ).
tff(c_78945,plain,
! [V_K_4072,V_evs_4073] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K_4072),c_Event_Oused(V_evs_4073),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K_4072,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_evs_4073,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K_4072,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_4073))),tc_nat)) ),
inference(cnfTransformation,[status(thm)],[f_2546]) ).
tff(c_78982,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(resolution,[status(thm)],[c_16322,c_78945]) ).
tff(c_79004,plain,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(demodulation,[status(thm),theory(equality)],[c_4633,c_4864,c_78982]) ).
tff(c_79006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1216,c_79004]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : SWV763-1 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.16 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.39 % Computer : n024.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Thu Aug 3 23:06:30 EDT 2023
% 0.16/0.39 % CPUTime :
% 53.70/36.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.70/36.67
% 53.70/36.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 53.70/36.70
% 53.70/36.70 Inference rules
% 53.70/36.70 ----------------------
% 53.70/36.70 #Ref : 34
% 53.70/36.70 #Sup : 19349
% 53.70/36.70 #Fact : 2
% 53.70/36.70 #Define : 0
% 53.70/36.70 #Split : 11
% 53.70/36.70 #Chain : 0
% 53.70/36.70 #Close : 0
% 53.70/36.70
% 53.70/36.70 Ordering : KBO
% 53.70/36.70
% 53.70/36.70 Simplification rules
% 53.70/36.70 ----------------------
% 53.70/36.70 #Subsume : 1730
% 53.70/36.70 #Demod : 10580
% 53.70/36.70 #Tautology : 7050
% 53.70/36.70 #SimpNegUnit : 7
% 53.70/36.70 #BackRed : 1
% 53.70/36.70
% 53.70/36.70 #Partial instantiations: 0
% 53.70/36.70 #Strategies tried : 1
% 53.70/36.70
% 53.70/36.70 Timing (in seconds)
% 53.70/36.70 ----------------------
% 53.70/36.71 Preprocessing : 1.68
% 53.70/36.71 Parsing : 1.03
% 53.70/36.71 CNF conversion : 0.12
% 53.70/36.71 Main loop : 33.89
% 53.70/36.71 Inferencing : 5.03
% 53.70/36.71 Reduction : 20.25
% 53.70/36.71 Demodulation : 17.37
% 53.70/36.71 BG Simplification : 0.33
% 53.70/36.71 Subsumption : 6.85
% 53.70/36.71 Abstraction : 0.30
% 53.70/36.71 MUC search : 0.00
% 53.70/36.71 Cooper : 0.00
% 53.70/36.71 Total : 35.63
% 53.70/36.71 Index Insertion : 0.00
% 53.70/36.71 Index Deletion : 0.00
% 53.70/36.71 Index Matching : 0.00
% 53.70/36.71 BG Taut test : 0.00
%------------------------------------------------------------------------------