TSTP Solution File: SWV802-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV802-1 : 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 : n003.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 11:05:41 EDT 2023
% Result : Unsatisfiable 151.40s 130.09s
% Output : CNFRefutation 151.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 89
% Syntax : Number of formulae : 105 ( 16 unt; 82 typ; 0 def)
% Number of atoms : 32 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 106 ( 57 >; 49 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 67 ( 67 usr; 25 con; 0-4 aty)
% Number of variables : 20 (; 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_NS__Shared__Mirabelle_OIssues > c_lessequals > c_in > c_fequal > hBOOL > class_Orderings_Otop > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > class_Lattices_Oupper__semilattice > class_Lattices_Olattice > class_Lattices_Obounded__lattice > class_HOL_Oord > c_NS__Shared__Mirabelle_Ons__sharedp > 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 > v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1 > v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1 > c_Set_Oinsert > 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_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_List_Orev > c_List_Olists > c_Event_Oknows > c_Event_Oevent_ONotes > c_Event_Oevent_OGets > #nlpp > tc_List_Olist > c_Public_OpublicKey > c_Orderings_Otop__class_Otop > c_Orderings_Obot__class_Obot > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_ONumber > c_Message_Omsg_ONonce > c_Message_Omsg_OHash > c_Message_Omsg_OAgent > c_Message_OkeysFor > c_Message_OinvKey > c_Message_Oanalz > c_List_Olist_ONil > c_Event_Oused > c_Event_OinitState > v_evs3 > v_Xa > v_X > v_S > v_NB > v_NAa > v_NA > v_Ka > v_K > v_Ba > v_B > v_Aa > 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(v_Ka,type,
v_Ka: $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(v_S,type,
v_S: $i ).
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_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_List_Orev,type,
c_List_Orev: ( $i * $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(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(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(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(v_evs3,type,
v_evs3: $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_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_Message_Omsg_OHash,type,
c_Message_Omsg_OHash: $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(v_Xa,type,
v_Xa: $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(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(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(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_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
tff(c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_ONumber,type,
c_Message_Omsg_ONumber: $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_2850,axiom,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_2857,axiom,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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_evs3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_2843,axiom,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_2431,axiom,
! [V_B,V_S,V_KA,V_A,V_X,V_N,V_K,V_evs] :
( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file(unknown,unknown) ).
tff(f_2426,axiom,
! [V_X,V_H] :
( ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H) )
| ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_2848,axiom,
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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_2847,axiom,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(c_1194,plain,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_2850]) ).
tff(c_1196,plain,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg)
| ~ 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_evs3)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnfTransformation,[status(thm)],[f_2857]) ).
tff(c_1249,plain,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg)
| ~ 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_evs3)),tc_Message_Omsg) ),
inference(negUnitSimplification,[status(thm)],[c_1194,c_1196]) ).
tff(c_68272,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_evs3)),tc_Message_Omsg),
inference(splitLeft,[status(thm)],[c_1249]) ).
tff(c_1184,plain,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_2843]) ).
tff(c_61769,plain,
! [V_B_3990,V_K_3987,V_A_3991,V_KA_3984,V_X_3988,V_evs_3989,V_S_3986,V_N_3985] :
( ~ c_in(c_Event_Oevent_OSays(V_S_3986,V_A_3991,c_Message_Omsg_OCrypt(V_KA_3984,c_Message_Omsg_OMPair(V_N_3985,c_Message_Omsg_OMPair(V_B_3990,c_Message_Omsg_OMPair(V_K_3987,V_X_3988))))),c_List_Oset(V_evs_3989,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X_3988,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_3989)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_2431]) ).
tff(c_61793,plain,
c_in(v_Xa,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_1184,c_61769]) ).
tff(c_1006,plain,
! [V_X_1534,V_H_1535] :
( ~ c_in(V_X_1534,c_Message_Oparts(V_H_1535),tc_Message_Omsg)
| ( c_Message_Oparts(c_Set_Oinsert(V_X_1534,V_H_1535,tc_Message_Omsg)) = c_Message_Oparts(V_H_1535) ) ),
inference(cnfTransformation,[status(thm)],[f_2426]) ).
tff(c_61819,plain,
c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(resolution,[status(thm)],[c_61793,c_1006]) ).
tff(c_1192,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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_2848]) ).
tff(c_138260,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_evs3)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_61819,c_1192]) ).
tff(c_138262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68272,c_138260]) ).
tff(c_138263,plain,
~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
inference(splitRight,[status(thm)],[c_1249]) ).
tff(c_1190,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_2847]) ).
tff(c_275848,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_61819,c_1190]) ).
tff(c_275852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138263,c_275848]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV802-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14 % 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
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 23:05:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 151.40/130.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 151.47/130.09
% 151.47/130.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 151.47/130.12
% 151.47/130.12 Inference rules
% 151.47/130.12 ----------------------
% 151.47/130.12 #Ref : 41
% 151.47/130.12 #Sup : 66817
% 151.47/130.12 #Fact : 2
% 151.47/130.12 #Define : 0
% 151.47/130.12 #Split : 10
% 151.47/130.12 #Chain : 0
% 151.47/130.12 #Close : 0
% 151.47/130.12
% 151.47/130.12 Ordering : KBO
% 151.47/130.12
% 151.47/130.12 Simplification rules
% 151.47/130.12 ----------------------
% 151.47/130.12 #Subsume : 7056
% 151.47/130.12 #Demod : 49562
% 151.47/130.12 #Tautology : 29489
% 151.47/130.12 #SimpNegUnit : 214
% 151.47/130.12 #BackRed : 196
% 151.47/130.12
% 151.47/130.12 #Partial instantiations: 0
% 151.47/130.12 #Strategies tried : 1
% 151.47/130.12
% 151.47/130.12 Timing (in seconds)
% 151.47/130.12 ----------------------
% 151.47/130.13 Preprocessing : 1.43
% 151.47/130.13 Parsing : 0.81
% 151.47/130.13 CNF conversion : 0.11
% 151.47/130.13 Main loop : 127.57
% 151.47/130.13 Inferencing : 14.68
% 151.47/130.13 Reduction : 78.00
% 151.47/130.13 Demodulation : 67.09
% 151.47/130.13 BG Simplification : 0.47
% 151.47/130.13 Subsumption : 25.51
% 151.47/130.13 Abstraction : 0.66
% 151.47/130.13 MUC search : 0.00
% 151.47/130.13 Cooper : 0.00
% 151.47/130.13 Total : 129.06
% 151.47/130.13 Index Insertion : 0.00
% 151.47/130.13 Index Deletion : 0.00
% 151.47/130.13 Index Matching : 0.00
% 151.47/130.13 BG Taut test : 0.00
%------------------------------------------------------------------------------