%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV801-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.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 : Wed Apr 9 09:31:42 PM UTC 2025
% Result : Unsatisfiable 35.80s 18.71s
% Output : CNFRefutation 35.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 51 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 32 ~; 29 |; 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-4 aty)
% Number of functors : 67 ( 67 usr; 24 con; 0-4 aty)
% Number of variables : 49 ( 49 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_NS__Shared__Mirabelle_OIssues > c_Fun_Oinj__on > c_lessequals > c_in > c_fequal > 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_Oord > c_NS__Shared__Mirabelle_Ons__sharedp > v_sko__NS__Shared__Mirabelle__XIssues__def__1 > v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 > c_Set_Oimage > 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__XNS4__implies__NS3__1 > v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1 > 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 > v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2 > v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1 > 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_HOL_Ouminus__class_Ouminus > 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_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_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 > 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(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(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_Message_OkeysFor,type,
c_Message_OkeysFor: $i > $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
tff(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1: ( $i * $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(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(c_NS__Shared__Mirabelle_Ons__sharedp,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
tff(v_NB,type,
v_NB: $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(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1,type,
v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1: ( $i * $i * $i ) > $i ).
tff(c_NS__Shared__Mirabelle_OIssues,type,
c_NS__Shared__Mirabelle_OIssues: ( $i * $i * $i * $i ) > $o ).
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(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_in,type,
c_in: ( $i * $i * $i ) > $o ).
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(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(v_sko__NS__Shared__Mirabelle__XIssues__def__1,type,
v_sko__NS__Shared__Mirabelle__XIssues__def__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
tff(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2: ( $i * $i ) > $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(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(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(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(c_List_Olength__unique,type,
c_List_Olength__unique: ( $i * $i ) > $i ).
tff(f_2853,axiom,
v_K = v_KAB,
file(unknown,unknown) ).
tff(f_2845,axiom,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_2843,axiom,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file(unknown,unknown) ).
tff(f_2718,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ c_in(V_x,V_S,T_a) ),
file(unknown,unknown) ).
tff(f_2713,axiom,
! [V_x,V_S,T_a] :
( c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
file(unknown,unknown) ).
tff(f_2846,axiom,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
file(unknown,unknown) ).
tff(f_1137,axiom,
! [V_K] :
( ( c_Message_OinvKey(V_K) = V_K )
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ),
file(unknown,unknown) ).
tff(f_68,axiom,
! [V_K] : ( c_Message_OinvKey(c_Message_OinvKey(V_K)) = V_K ),
file(unknown,unknown) ).
tff(f_519,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_1127,axiom,
! [V_K] :
( c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) ),
file(unknown,unknown) ).
tff(f_2855,axiom,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_1903,axiom,
! [V_K,V_H,V_X] :
( c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_2291,axiom,
! [V_K,V_evs] :
( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_1098,plain,
v_KAB = v_K,
inference(cnfTransformation,[status(thm)],[f_2853]) ).
tff(c_1084,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_2845]) ).
tff(c_1167,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_1084]) ).
tff(c_1082,plain,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_2843]) ).
tff(c_1703,plain,
! [V_x_1950,V_S_1951,T_a_1952] :
( ~ c_in(V_x_1950,V_S_1951,T_a_1952)
| hBOOL(hAPP(V_S_1951,V_x_1950)) ),
inference(cnfTransformation,[status(thm)],[f_2718]) ).
tff(c_1727,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(resolution,[status(thm)],[c_1082,c_1703]) ).
tff(c_1749,plain,
! [V_S_1962,V_x_1963,T_a_1964] :
( ~ hBOOL(hAPP(V_S_1962,V_x_1963))
| c_in(V_x_1963,V_S_1962,T_a_1964) ),
inference(cnfTransformation,[status(thm)],[f_2713]) ).
tff(c_1771,plain,
! [T_a_1964] : c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,T_a_1964),
inference(resolution,[status(thm)],[c_1727,c_1749]) ).
tff(c_1086,plain,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
inference(cnfTransformation,[status(thm)],[f_2846]) ).
tff(c_1166,plain,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_1086]) ).
tff(c_1729,plain,
hBOOL(hAPP(c_Message_OsymKeys,v_K)),
inference(resolution,[status(thm)],[c_1166,c_1703]) ).
tff(c_1769,plain,
! [T_a_1964] : c_in(v_K,c_Message_OsymKeys,T_a_1964),
inference(resolution,[status(thm)],[c_1729,c_1749]) ).
tff(c_1488,plain,
! [V_K_1901] :
( ~ c_in(V_K_1901,c_Message_OsymKeys,tc_nat)
| ( c_Message_OinvKey(V_K_1901) = V_K_1901 ) ),
inference(cnfTransformation,[status(thm)],[f_1137]) ).
tff(c_1496,plain,
c_Message_OinvKey(v_K) = v_K,
inference(resolution,[status(thm)],[c_1166,c_1488]) ).
tff(c_26,plain,
! [V_K_39] : ( c_Message_OinvKey(c_Message_OinvKey(V_K_39)) = V_K_39 ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_1410,plain,
! [V_K_H_1864,V_K_1865] :
( ( V_K_H_1864 = V_K_1865 )
| ( c_Message_OinvKey(V_K_H_1864) != c_Message_OinvKey(V_K_1865) ) ),
inference(cnfTransformation,[status(thm)],[f_519]) ).
tff(c_1416,plain,
! [V_K_39,V_K_H_1864] :
( ( c_Message_OinvKey(V_K_39) = V_K_H_1864 )
| ( c_Message_OinvKey(V_K_H_1864) != V_K_39 ) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_1410]) ).
tff(c_1499,plain,
! [V_K_39] :
( ( c_Message_OinvKey(V_K_39) = v_K )
| ( v_K != V_K_39 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1496,c_1416]) ).
tff(c_2002,plain,
! [V_K_2038] :
( ~ c_in(c_Message_OinvKey(V_K_2038),c_Message_OsymKeys,tc_nat)
| c_in(V_K_2038,c_Message_OsymKeys,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_1127]) ).
tff(c_2008,plain,
! [V_K_39] :
( ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| c_in(V_K_39,c_Message_OsymKeys,tc_nat)
| ( v_K != V_K_39 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1499,c_2002]) ).
tff(c_2014,plain,
! [V_K_2039] :
( c_in(V_K_2039,c_Message_OsymKeys,tc_nat)
| ( v_K != V_K_2039 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1769,c_2008]) ).
tff(c_1028,plain,
! [V_x_1686,V_S_1685,T_a_1687] :
( ~ c_in(V_x_1686,V_S_1685,T_a_1687)
| hBOOL(hAPP(V_S_1685,V_x_1686)) ),
inference(cnfTransformation,[status(thm)],[f_2718]) ).
tff(c_2087,plain,
! [V_K_2044] :
( hBOOL(hAPP(c_Message_OsymKeys,V_K_2044))
| ( v_K != V_K_2044 ) ),
inference(resolution,[status(thm)],[c_2014,c_1028]) ).
tff(c_1026,plain,
! [V_S_1683,V_x_1682,T_a_1684] :
( ~ hBOOL(hAPP(V_S_1683,V_x_1682))
| c_in(V_x_1682,V_S_1683,T_a_1684) ),
inference(cnfTransformation,[status(thm)],[f_2713]) ).
tff(c_2116,plain,
! [T_a_1684] : c_in(v_K,c_Message_OsymKeys,T_a_1684),
inference(resolution,[status(thm)],[c_2087,c_1026]) ).
tff(c_474,plain,
! [V_K_721] :
( ~ c_in(V_K_721,c_Message_OsymKeys,tc_nat)
| ( c_Message_OinvKey(V_K_721) = V_K_721 ) ),
inference(cnfTransformation,[status(thm)],[f_1137]) ).
tff(c_2040,plain,
c_Message_OinvKey(v_K) = v_K,
inference(resolution,[status(thm)],[c_2014,c_474]) ).
tff(c_1102,plain,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_2855]) ).
tff(c_1156,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_1098,c_1102]) ).
tff(c_776,plain,
! [V_K_1187,V_X_1189,V_H_1188] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K_1187,V_X_1189),V_H_1188,tc_Message_Omsg)
| c_in(c_Message_OinvKey(V_K_1187),c_Message_OkeysFor(V_H_1188),tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_1903]) ).
tff(c_11466,plain,
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_1156,c_776]) ).
tff(c_11480,plain,
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_2040,c_11466]) ).
tff(c_11491,plain,
hBOOL(hAPP(c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),v_K)),
inference(resolution,[status(thm)],[c_11480,c_1028]) ).
tff(c_11494,plain,
! [T_a_1684] : c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),T_a_1684),
inference(resolution,[status(thm)],[c_11491,c_1026]) ).
tff(c_61232,plain,
! [V_K_3945,V_evs_3946] :
( c_in(hAPP(c_Message_Omsg_OKey,V_K_3945),c_Event_Oused(V_evs_3946),tc_Message_Omsg)
| ~ c_in(V_K_3945,c_Message_OsymKeys,tc_nat)
| ~ c_in(V_evs_3946,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_K_3945,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_3946))),tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_2291]) ).
tff(c_61272,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_11494,c_61232]) ).
tff(c_61284,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_1771,c_2116,c_61272]) ).
tff(c_61286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1167,c_61284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV801-1 : TPTP v9.0.0. Released v4.1.0.
% 0.12/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Apr 9 04:44:18 EDT 2025
% 0.14/0.35 % CPUTime :
% 35.80/18.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.80/18.72
% 35.80/18.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------