TSTP Solution File: SWV812-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV812-1 : 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 : n001.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 11:05:43 EDT 2023
% Result : Unsatisfiable 7.31s 2.57s
% Output : CNFRefutation 7.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 81
% Syntax : Number of formulae : 86 ( 8 unt; 78 typ; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 123 ( 60 >; 63 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-4 aty)
% Number of functors : 64 ( 64 usr; 18 con; 0-5 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_NS__Shared__Mirabelle_OIssues > c_lessequals > c_in > c_List_Odistinct > hBOOL > 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 > c_COMBC > c_COMBB > v_sko__NS__Shared__Mirabelle__XIssues__def__1 > v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__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_OtakeWhile > c_List_Osko__List__XtakeWhile__append2__1__1 > 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_OdropWhile > c_List_Oappend > c_Lattices_Oupper__semilattice__class_Osup > 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_Public_OpublicKey > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Otl > c_List_Oset > c_List_Orev > c_Event_Oknows > c_Event_Oevent_ONotes > c_Event_Oevent_OGets > #nlpp > tc_List_Olist > c_fequal > c_Public_OshrK > c_Orderings_Obot__class_Obot > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OKey > c_Message_Omsg_OHash > c_Message_Omsg_OAgent > c_Message_OkeysFor > c_Message_OinvKey > c_Message_Oanalz > c_List_Olist_ONil > c_Event_Oused > v_evsf > v_X > v_NB > v_K > v_Ba > v_B > v_A > tc_nat > tc_bool > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_Not > c_NS__Shared__Mirabelle_Ons__shared > c_Message_OsymKeys > 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_COMBC,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Odistinct,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $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(c_List_OdropWhile,type,
c_List_OdropWhile: ( $i * $i * $i ) > $i ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(c_List_Orev,type,
c_List_Orev: ( $i * $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_List_OtakeWhile,type,
c_List_OtakeWhile: ( $i * $i * $i ) > $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(c_COMBB,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $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(c_Not,type,
c_Not: $i ).
tff(c_List_Osko__List__XtakeWhile__append2__1__1,type,
c_List_Osko__List__XtakeWhile__append2__1__1: ( $i * $i * $i ) > $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_Otl,type,
c_List_Otl: ( $i * $i ) > $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(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(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(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_Public_OpublicKey,type,
c_Public_OpublicKey: ( $i * $i ) > $i ).
tff(c_NS__Shared__Mirabelle_Ons__shared,type,
c_NS__Shared__Mirabelle_Ons__shared: $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_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(v_evsf,type,
v_evsf: $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(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(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_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 > $i ).
tff(f_2721,axiom,
v_A = c_Message_Oagent_OSpy,
file(unknown,unknown) ).
tff(f_2714,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file(unknown,unknown) ).
tff(f_2332,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file(unknown,unknown) ).
tff(c_1104,plain,
v_A = c_Message_Oagent_OSpy,
inference(cnfTransformation,[status(thm)],[f_2721]) ).
tff(c_1094,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnfTransformation,[status(thm)],[f_2714]) ).
tff(c_1166,plain,
~ c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm),theory(equality)],[c_1104,c_1094]) ).
tff(c_904,plain,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
inference(cnfTransformation,[status(thm)],[f_2332]) ).
tff(c_1187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1166,c_904]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV812-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % 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
% 0.18/0.36 % Computer : n001.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Thu Aug 3 23:23:40 EDT 2023
% 0.18/0.36 % CPUTime :
% 7.31/2.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.31/2.58
% 7.31/2.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.31/2.60
% 7.31/2.60 Inference rules
% 7.31/2.60 ----------------------
% 7.31/2.60 #Ref : 0
% 7.31/2.60 #Sup : 0
% 7.31/2.60 #Fact : 0
% 7.31/2.60 #Define : 0
% 7.31/2.60 #Split : 0
% 7.31/2.60 #Chain : 0
% 7.31/2.60 #Close : 0
% 7.31/2.60
% 7.31/2.60 Ordering : KBO
% 7.31/2.60
% 7.31/2.60 Simplification rules
% 7.31/2.60 ----------------------
% 7.31/2.60 #Subsume : 563
% 7.31/2.60 #Demod : 28
% 7.31/2.60 #Tautology : 17
% 7.31/2.60 #SimpNegUnit : 1
% 7.31/2.60 #BackRed : 0
% 7.31/2.60
% 7.31/2.60 #Partial instantiations: 0
% 7.31/2.60 #Strategies tried : 1
% 7.31/2.60
% 7.31/2.60 Timing (in seconds)
% 7.31/2.60 ----------------------
% 7.31/2.60 Preprocessing : 1.37
% 7.31/2.60 Parsing : 0.75
% 7.31/2.60 CNF conversion : 0.12
% 7.31/2.60 Main loop : 0.22
% 7.31/2.60 Inferencing : 0.00
% 7.31/2.60 Reduction : 0.12
% 7.31/2.60 Demodulation : 0.08
% 7.31/2.60 BG Simplification : 0.12
% 7.31/2.60 Subsumption : 0.07
% 7.31/2.60 Abstraction : 0.02
% 7.31/2.60 MUC search : 0.00
% 7.31/2.61 Cooper : 0.00
% 7.31/2.61 Total : 1.64
% 7.31/2.61 Index Insertion : 0.00
% 7.31/2.61 Index Deletion : 0.00
% 7.31/2.61 Index Matching : 0.00
% 7.31/2.61 BG Taut test : 0.00
%------------------------------------------------------------------------------