TSTP Solution File: SWV756-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV756-1 : 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/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 : 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 11:05:35 EDT 2023
% Result : Unsatisfiable 42.47s 26.12s
% Output : CNFRefutation 42.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 99
% Syntax : Number of formulae : 141 ( 30 unt; 84 typ; 0 def)
% Number of atoms : 90 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 33 |; 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 : 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 : 67 (; 67 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_fequal > c_List_Olinorder__class_Osorted > hBOOL > class_Orderings_Otop > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > 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 > v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 > c_Set_Oimage > v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 > v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 > c_in > c_Set_Oinsert > c_List_Olist_OCons > 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_Osko__Message__Xparts__insert__eq__I__1__1 > c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > 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_Orderings_Obot__class_Obot > 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_Oanalz > c_Message_Oagent_OFriend > 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_Public_Okeymode_OSignature > c_Public_Okeymode_OEncryption > c_NS__Shared__Mirabelle_Ons__shared > c_Message_OsymKeys > c_Message_Omsg_OKey > c_Message_OinvKey > c_Message_Oagent_OSpy > c_Message_Oagent_OServer > c_Event_Obad
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $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(c_Message_Oagent_OFriend,type,
c_Message_Oagent_OFriend: $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_Public_Okeymode_OEncryption,type,
c_Public_Okeymode_OEncryption: $i ).
tff(c_Orderings_Otop__class_Otop,type,
c_Orderings_Otop__class_Otop: $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(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(tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
tff(c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $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(tc_Message_Oagent,type,
tc_Message_Oagent: $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_Public_Okeymode_OSignature,type,
c_Public_Okeymode_OSignature: $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(tc_nat,type,
tc_nat: $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(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1,type,
c_Message_Osko__Message__Xanalz__insert__eq__I__1__1: ( $i * $i ) > $i ).
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_Message_OinvKey,type,
c_Message_OinvKey: $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(c_Message_Osko__Message__Xparts__insert__eq__I__1__1,type,
c_Message_Osko__Message__Xparts__insert__eq__I__1__1: ( $i * $i ) > $i ).
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_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_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
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(f_2761,axiom,
v_K = v_KAB,
file(unknown,unknown) ).
tff(f_2753,axiom,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file(unknown,unknown) ).
tff(f_2751,axiom,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file(unknown,unknown) ).
tff(f_2665,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_2660,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_1625,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_1611,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_2754,axiom,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file(unknown,unknown) ).
tff(f_1201,axiom,
! [V_K] :
( ( hAPP(c_Message_OinvKey,V_K) = V_K )
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ),
file(unknown,unknown) ).
tff(f_885,axiom,
! [V_K] : ( hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K ),
file(unknown,unknown) ).
tff(f_301,axiom,
! [V_K,V_K_H] :
( ( hAPP(c_Message_OinvKey,V_K) != hAPP(c_Message_OinvKey,V_K_H) )
| ( V_K = V_K_H ) ),
file(unknown,unknown) ).
tff(f_1191,axiom,
! [V_K] :
( hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat)) ),
file(unknown,unknown) ).
tff(f_2763,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_1317,axiom,
! [V_K,V_H,V_X] :
( hBOOL(c_in(hAPP(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_2353,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_1114,plain,
v_KAB = v_K,
inference(cnfTransformation,[status(thm)],[f_2761]) ).
tff(c_1100,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_2753]) ).
tff(c_1193,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_1114,c_1100]) ).
tff(c_1098,plain,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnfTransformation,[status(thm)],[f_2751]) ).
tff(c_1864,plain,
! [V_x_1885,V_S_1886,T_a_1887] :
( ~ hBOOL(c_in(V_x_1885,V_S_1886,T_a_1887))
| hBOOL(hAPP(V_S_1886,V_x_1885)) ),
inference(cnfTransformation,[status(thm)],[f_2665]) ).
tff(c_1899,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(resolution,[status(thm)],[c_1098,c_1864]) ).
tff(c_1054,plain,
! [V_S_1588,V_x_1587,T_a_1589] :
( ~ hBOOL(hAPP(V_S_1588,V_x_1587))
| hBOOL(c_in(V_x_1587,V_S_1588,T_a_1589)) ),
inference(cnfTransformation,[status(thm)],[f_2660]) ).
tff(c_3477,plain,
! [V_a_2061,V_A_2062,T_a_2063] :
( ~ hBOOL(c_in(V_a_2061,V_A_2062,T_a_2063))
| ( c_Set_Oinsert(V_a_2061,V_A_2062,T_a_2063) = V_A_2062 ) ),
inference(cnfTransformation,[status(thm)],[f_1625]) ).
tff(c_5467,plain,
! [V_x_2136,V_S_2137,T_a_2138] :
( ( c_Set_Oinsert(V_x_2136,V_S_2137,T_a_2138) = V_S_2137 )
| ~ hBOOL(hAPP(V_S_2137,V_x_2136)) ),
inference(resolution,[status(thm)],[c_1054,c_3477]) ).
tff(c_5562,plain,
! [T_a_2141] : ( c_Set_Oinsert(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,T_a_2141) = c_NS__Shared__Mirabelle_Ons__shared ),
inference(resolution,[status(thm)],[c_1899,c_5467]) ).
tff(c_690,plain,
! [V_x_926,V_B_927,T_a_928] : hBOOL(c_in(V_x_926,c_Set_Oinsert(V_x_926,V_B_927,T_a_928),T_a_928)),
inference(cnfTransformation,[status(thm)],[f_1611]) ).
tff(c_5576,plain,
! [T_a_2141] : hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,T_a_2141)),
inference(superposition,[status(thm),theory(equality)],[c_5562,c_690]) ).
tff(c_1102,plain,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
inference(cnfTransformation,[status(thm)],[f_2754]) ).
tff(c_1192,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(demodulation,[status(thm),theory(equality)],[c_1114,c_1102]) ).
tff(c_1900,plain,
hBOOL(hAPP(c_Message_OsymKeys,v_K)),
inference(resolution,[status(thm)],[c_1192,c_1864]) ).
tff(c_5536,plain,
! [T_a_2140] : ( c_Set_Oinsert(v_K,c_Message_OsymKeys,T_a_2140) = c_Message_OsymKeys ),
inference(resolution,[status(thm)],[c_1900,c_5467]) ).
tff(c_5550,plain,
! [T_a_2140] : hBOOL(c_in(v_K,c_Message_OsymKeys,T_a_2140)),
inference(superposition,[status(thm),theory(equality)],[c_5536,c_690]) ).
tff(c_2045,plain,
! [V_K_1926] :
( ~ hBOOL(c_in(V_K_1926,c_Message_OsymKeys,tc_nat))
| ( hAPP(c_Message_OinvKey,V_K_1926) = V_K_1926 ) ),
inference(cnfTransformation,[status(thm)],[f_1201]) ).
tff(c_2059,plain,
hAPP(c_Message_OinvKey,v_K) = v_K,
inference(resolution,[status(thm)],[c_1192,c_2045]) ).
tff(c_374,plain,
! [V_K_482] : ( hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K_482)) = V_K_482 ),
inference(cnfTransformation,[status(thm)],[f_885]) ).
tff(c_1685,plain,
! [V_K_H_1864,V_K_1865] :
( ( V_K_H_1864 = V_K_1865 )
| ( hAPP(c_Message_OinvKey,V_K_H_1864) != hAPP(c_Message_OinvKey,V_K_1865) ) ),
inference(cnfTransformation,[status(thm)],[f_301]) ).
tff(c_1688,plain,
! [V_K_482,V_K_1865] :
( ( hAPP(c_Message_OinvKey,V_K_482) = V_K_1865 )
| ( hAPP(c_Message_OinvKey,V_K_1865) != V_K_482 ) ),
inference(superposition,[status(thm),theory(equality)],[c_374,c_1685]) ).
tff(c_2062,plain,
! [V_K_482] :
( ( hAPP(c_Message_OinvKey,V_K_482) = v_K )
| ( v_K != V_K_482 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2059,c_1688]) ).
tff(c_6710,plain,
! [V_K_2236] :
( ~ hBOOL(c_in(hAPP(c_Message_OinvKey,V_K_2236),c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(V_K_2236,c_Message_OsymKeys,tc_nat)) ),
inference(cnfTransformation,[status(thm)],[f_1191]) ).
tff(c_6713,plain,
! [V_K_482] :
( ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(V_K_482,c_Message_OsymKeys,tc_nat))
| ( v_K != V_K_482 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2062,c_6710]) ).
tff(c_6726,plain,
! [V_K_2237] :
( hBOOL(c_in(V_K_2237,c_Message_OsymKeys,tc_nat))
| ( v_K != V_K_2237 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5550,c_6713]) ).
tff(c_1056,plain,
! [V_x_1591,V_S_1590,T_a_1592] :
( ~ hBOOL(c_in(V_x_1591,V_S_1590,T_a_1592))
| hBOOL(hAPP(V_S_1590,V_x_1591)) ),
inference(cnfTransformation,[status(thm)],[f_2665]) ).
tff(c_6812,plain,
! [V_K_2239] :
( hBOOL(hAPP(c_Message_OsymKeys,V_K_2239))
| ( v_K != V_K_2239 ) ),
inference(resolution,[status(thm)],[c_6726,c_1056]) ).
tff(c_3516,plain,
! [V_x_1587,V_S_1588,T_a_1589] :
( ( c_Set_Oinsert(V_x_1587,V_S_1588,T_a_1589) = V_S_1588 )
| ~ hBOOL(hAPP(V_S_1588,V_x_1587)) ),
inference(resolution,[status(thm)],[c_1054,c_3477]) ).
tff(c_7053,plain,
! [V_K_2246,T_a_2247] :
( ( c_Set_Oinsert(V_K_2246,c_Message_OsymKeys,T_a_2247) = c_Message_OsymKeys )
| ( v_K != V_K_2246 ) ),
inference(resolution,[status(thm)],[c_6812,c_3516]) ).
tff(c_7138,plain,
! [T_a_2247] : hBOOL(c_in(v_K,c_Message_OsymKeys,T_a_2247)),
inference(superposition,[status(thm),theory(equality)],[c_7053,c_690]) ).
tff(c_496,plain,
! [V_K_637] :
( ~ hBOOL(c_in(V_K_637,c_Message_OsymKeys,tc_nat))
| ( hAPP(c_Message_OinvKey,V_K_637) = V_K_637 ) ),
inference(cnfTransformation,[status(thm)],[f_1201]) ).
tff(c_6751,plain,
hAPP(c_Message_OinvKey,v_K) = v_K,
inference(resolution,[status(thm)],[c_6726,c_496]) ).
tff(c_1118,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_2763]) ).
tff(c_1182,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_1114,c_1118]) ).
tff(c_28204,plain,
! [V_K_2759,V_X_2760,V_H_2761] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K_2759,V_X_2760),V_H_2761,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_OinvKey,V_K_2759),c_Message_OkeysFor(V_H_2761),tc_nat)) ),
inference(cnfTransformation,[status(thm)],[f_1317]) ).
tff(c_28270,plain,
hBOOL(c_in(hAPP(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_1182,c_28204]) ).
tff(c_28304,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_6751,c_28270]) ).
tff(c_77039,plain,
! [V_K_3627,V_evs_3628] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K_3627),c_Event_Oused(V_evs_3628),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K_3627,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_evs_3628,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K_3627,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_3628))),tc_nat)) ),
inference(cnfTransformation,[status(thm)],[f_2353]) ).
tff(c_77061,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_28304,c_77039]) ).
tff(c_77088,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_5576,c_7138,c_77061]) ).
tff(c_77090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1193,c_77088]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV756-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15 % 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
% 0.15/0.37 % Computer : n024.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 23:01:30 EDT 2023
% 0.15/0.37 % CPUTime :
% 42.47/26.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.47/26.13
% 42.47/26.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 42.71/26.17
% 42.71/26.17 Inference rules
% 42.71/26.17 ----------------------
% 42.71/26.17 #Ref : 39
% 42.71/26.17 #Sup : 18703
% 42.71/26.17 #Fact : 2
% 42.71/26.17 #Define : 0
% 42.71/26.17 #Split : 16
% 42.71/26.17 #Chain : 0
% 42.71/26.17 #Close : 0
% 42.71/26.17
% 42.71/26.17 Ordering : KBO
% 42.71/26.17
% 42.71/26.17 Simplification rules
% 42.71/26.17 ----------------------
% 42.71/26.17 #Subsume : 2158
% 42.71/26.17 #Demod : 10896
% 42.71/26.17 #Tautology : 6715
% 42.71/26.17 #SimpNegUnit : 122
% 42.71/26.17 #BackRed : 1
% 42.71/26.17
% 42.71/26.17 #Partial instantiations: 0
% 42.71/26.17 #Strategies tried : 1
% 42.71/26.17
% 42.71/26.17 Timing (in seconds)
% 42.71/26.17 ----------------------
% 42.71/26.17 Preprocessing : 1.40
% 42.71/26.17 Parsing : 0.78
% 42.71/26.17 CNF conversion : 0.11
% 42.71/26.17 Main loop : 23.69
% 42.71/26.17 Inferencing : 3.61
% 42.71/26.17 Reduction : 13.92
% 42.71/26.17 Demodulation : 11.54
% 42.71/26.17 BG Simplification : 0.25
% 42.71/26.17 Subsumption : 4.86
% 42.71/26.17 Abstraction : 0.23
% 42.71/26.17 MUC search : 0.00
% 42.71/26.17 Cooper : 0.00
% 42.71/26.17 Total : 25.15
% 42.71/26.17 Index Insertion : 0.00
% 42.71/26.17 Index Deletion : 0.00
% 42.71/26.17 Index Matching : 0.00
% 42.71/26.17 BG Taut test : 0.00
%------------------------------------------------------------------------------