TSTP Solution File: SWV799-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV799-1 : 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 : n032.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 9.32s 3.25s
% Output : CNFRefutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 84
% Syntax : Number of formulae : 89 ( 8 unt; 81 typ; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 115 ( 60 >; 55 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 63 ( 63 usr; 21 con; 0-4 aty)
% Number of variables : 8 (; 8 !; 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_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 > 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_Osko__List__Xsplit__list__last__prop__iff__1__5 > c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 > 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_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_OpublicKey > c_Orderings_Otop__class_Otop > c_Orderings_Obot__class_Obot > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OHash > c_Message_Omsg_OAgent > c_Message_OkeysFor > c_Message_Oanalz > c_List_Olist_ONil > c_Event_Oused > c_Event_OinitState > v_X > v_NB > v_NA > v_K > v_B > v_A > tc_nat > tc_bool > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > 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(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5,type,
c_List_Osko__List__Xsplit__list__first__prop__iff__1__5: ( $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_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_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(class_Lattices_Obounded__lattice,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
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(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(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_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
tff(class_Orderings_Otop,type,
class_Orderings_Otop: $i > $o ).
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(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(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(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(c_Message_OinvKey,type,
c_Message_OinvKey: $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(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(c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: ( $i * $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(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_List_Osko__List__Xsplit__list__last__prop__iff__1__5,type,
c_List_Osko__List__Xsplit__list__last__prop__iff__1__5: ( $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_2045,axiom,
! [V_K,V_X,V_B] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_2118,axiom,
! [V_A] : ( c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ),
file(unknown,unknown) ).
tff(f_3009,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_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
file(unknown,unknown) ).
tff(c_832,plain,
! [V_K_1255,V_X_1256,V_B_1257] : ~ c_in(c_Message_Omsg_OCrypt(V_K_1255,V_X_1256),c_Message_Oparts(c_Event_OinitState(V_B_1257)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_2045]) ).
tff(c_848,plain,
! [V_A_1319] : ( c_Event_Oknows(V_A_1319,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A_1319) ),
inference(cnfTransformation,[status(thm)],[f_2118]) ).
tff(c_1206,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,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_3009]) ).
tff(c_1271,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_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_848,c_1206]) ).
tff(c_1274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_832,c_1271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV799-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % 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
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Thu Aug 3 22:44:21 EDT 2023
% 0.11/0.30 % CPUTime :
% 9.32/3.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.32/3.25
% 9.32/3.25 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.32/3.29
% 9.32/3.29 Inference rules
% 9.32/3.29 ----------------------
% 9.32/3.29 #Ref : 0
% 9.32/3.29 #Sup : 0
% 9.32/3.29 #Fact : 0
% 9.32/3.29 #Define : 0
% 9.32/3.29 #Split : 0
% 9.32/3.29 #Chain : 0
% 9.32/3.29 #Close : 0
% 9.32/3.29
% 9.32/3.29 Ordering : KBO
% 9.32/3.29
% 9.32/3.29 Simplification rules
% 9.32/3.29 ----------------------
% 9.32/3.29 #Subsume : 625
% 9.32/3.29 #Demod : 9
% 9.32/3.29 #Tautology : 6
% 9.32/3.29 #SimpNegUnit : 2
% 9.32/3.29 #BackRed : 0
% 9.32/3.29
% 9.32/3.29 #Partial instantiations: 0
% 9.32/3.29 #Strategies tried : 1
% 9.32/3.29
% 9.32/3.29 Timing (in seconds)
% 9.32/3.29 ----------------------
% 9.32/3.30 Preprocessing : 1.72
% 9.32/3.30 Parsing : 0.82
% 9.32/3.30 CNF conversion : 0.16
% 9.32/3.30 Main loop : 0.52
% 9.32/3.30 Inferencing : 0.00
% 9.32/3.30 Reduction : 0.28
% 9.32/3.30 Demodulation : 0.19
% 9.32/3.30 BG Simplification : 0.18
% 9.32/3.30 Subsumption : 0.17
% 9.32/3.30 Abstraction : 0.04
% 9.32/3.30 MUC search : 0.00
% 9.32/3.30 Cooper : 0.00
% 9.32/3.30 Total : 2.30
% 9.32/3.30 Index Insertion : 0.00
% 9.32/3.30 Index Deletion : 0.00
% 9.32/3.30 Index Matching : 0.00
% 9.32/3.30 BG Taut test : 0.00
%------------------------------------------------------------------------------