TSTP Solution File: SWV734-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV734-1 : 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 : n006.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 11:05:32 EDT 2023
% Result : Unsatisfiable 54.50s 38.76s
% Output : CNFRefutation 54.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 71
% Syntax : Number of formulae : 86 ( 13 unt; 63 typ; 0 def)
% Number of atoms : 35 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 45 >; 29 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 18 con; 0-4 aty)
% Number of variables : 33 (; 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_fequal > c_Message_Oanalzp > hBOOL > class_Orderings_Otop > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Oab__group__add > class_Lattices_Oupper__semilattice > class_Lattices_Olattice > class_Lattices_Obounded__lattice > class_HOL_Oord > c_NS__Shared__Mirabelle_Ons__sharedp > c_Set_Oimage > c_Set_Oinsert > c_List_Olist_OCons > c_Lattices_Oupper__semilattice__class_Osup > c_HOL_Ominus__class_Ominus > c_Event_Oevent_OSays > tc_fun > hAPP > c_Message_Osko__Message__Xparts__singleton__1__1 > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_Message_OHPair > 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_OAgent > c_Message_OkeysFor > c_Message_OinvKey > c_Message_Oanalz > c_List_Olist_ONil > c_Event_Oused > c_Event_OinitState > v_evsf > v_Xa > v_X > v_Kab > v_KAB > v_K > tc_nat > tc_bool > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_Public_OshrK > c_Public_Okeymode_OEncryption > c_NS__Shared__Mirabelle_Ons__shared > c_Message_OsymKeys > c_Message_Omsg_OKey > c_Message_Oagent_OSpy > c_Event_Obad
%Foreground sorts:
%Background operators:
%Foreground operators:
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_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_Message_OkeysFor,type,
c_Message_OkeysFor: $i > $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $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(c_Event_Obad,type,
c_Event_Obad: $i ).
tff(v_Kab,type,
v_Kab: $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(c_NS__Shared__Mirabelle_Ons__sharedp,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $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_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_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(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(c_Message_OHPair,type,
c_Message_OHPair: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(hAPP,type,
hAPP: ( $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(c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(c_Message_OinvKey,type,
c_Message_OinvKey: $i > $i ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $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_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i ).
tff(c_Message_Oanalzp,type,
c_Message_Oanalzp: ( $i * $i ) > $o ).
tff(c_Set_Oimage,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(c_Message_Osko__Message__Xparts__singleton__1__1,type,
c_Message_Osko__Message__Xparts__singleton__1__1: ( $i * $i ) > $i ).
tff(f_2156,axiom,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_1935,axiom,
! [V_X,V_H,V_K] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_2014,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_2009,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_822,axiom,
! [T_a,V_B] : ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ),
file(unknown,unknown) ).
tff(f_2157,axiom,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_1097,axiom,
! [V_Y,V_G,V_H,V_X] :
( c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_2159,axiom,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(c_920,plain,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_2156]) ).
tff(c_9953,plain,
! [V_K_2243,V_X_2244,V_H_2245] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K_2243,V_X_2244),c_Message_Oparts(V_H_2245),tc_Message_Omsg)
| c_in(V_X_2244,c_Message_Oparts(V_H_2245),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_1935]) ).
tff(c_9977,plain,
c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_920,c_9953]) ).
tff(c_858,plain,
! [V_x_1310,V_S_1309,T_a_1311] :
( ~ c_in(V_x_1310,V_S_1309,T_a_1311)
| hBOOL(hAPP(V_S_1309,V_x_1310)) ),
inference(cnfTransformation,[status(thm)],[f_2014]) ).
tff(c_10005,plain,
hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),v_X)),
inference(resolution,[status(thm)],[c_9977,c_858]) ).
tff(c_856,plain,
! [V_S_1307,V_x_1306,T_a_1308] :
( ~ hBOOL(hAPP(V_S_1307,V_x_1306))
| c_in(V_x_1306,V_S_1307,T_a_1308) ),
inference(cnfTransformation,[status(thm)],[f_2009]) ).
tff(c_10011,plain,
! [T_a_1308] : c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),T_a_1308),
inference(resolution,[status(thm)],[c_10005,c_856]) ).
tff(c_378,plain,
! [T_a_595,V_B_596] : ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a_595,tc_bool)),V_B_596,tc_fun(T_a_595,tc_bool)) = V_B_596 ),
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_922,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_2157]) ).
tff(c_59513,plain,
! [V_Y_3263,V_X_3264,V_G_3265,V_H_3266] :
( ~ c_in(V_Y_3263,c_Message_Oparts(c_Set_Oinsert(V_X_3264,V_G_3265,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X_3264,c_Message_Oparts(V_H_3266),tc_Message_Omsg)
| c_in(V_Y_3263,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G_3265,V_H_3266,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_1097]) ).
tff(c_59613,plain,
! [V_H_3266] :
( ~ c_in(v_X,c_Message_Oparts(V_H_3266),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),V_H_3266,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_922,c_59513]) ).
tff(c_111825,plain,
! [V_H_4184] :
( ~ c_in(v_X,c_Message_Oparts(V_H_4184),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(V_H_4184),tc_Message_Omsg) ),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_59613]) ).
tff(c_924,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_2159]) ).
tff(c_111867,plain,
~ c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_111825,c_924]) ).
tff(c_111924,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10011,c_111867]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV734-1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.14 % 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
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 22:43:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 54.50/38.76 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.57/38.77
% 54.57/38.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 54.57/38.80
% 54.57/38.80 Inference rules
% 54.57/38.80 ----------------------
% 54.57/38.80 #Ref : 33
% 54.57/38.80 #Sup : 26392
% 54.57/38.80 #Fact : 2
% 54.57/38.80 #Define : 0
% 54.57/38.80 #Split : 6
% 54.57/38.80 #Chain : 0
% 54.57/38.80 #Close : 0
% 54.57/38.80
% 54.57/38.80 Ordering : KBO
% 54.57/38.80
% 54.57/38.80 Simplification rules
% 54.57/38.80 ----------------------
% 54.57/38.80 #Subsume : 2523
% 54.57/38.80 #Demod : 17399
% 54.57/38.80 #Tautology : 10742
% 54.57/38.80 #SimpNegUnit : 131
% 54.57/38.80 #BackRed : 5
% 54.57/38.80
% 54.57/38.80 #Partial instantiations: 0
% 54.57/38.80 #Strategies tried : 1
% 54.57/38.80
% 54.57/38.80 Timing (in seconds)
% 54.57/38.80 ----------------------
% 54.57/38.80 Preprocessing : 1.23
% 54.57/38.80 Parsing : 0.67
% 54.57/38.80 CNF conversion : 0.10
% 54.57/38.80 Main loop : 36.43
% 54.57/38.80 Inferencing : 5.18
% 54.57/38.80 Reduction : 21.26
% 54.57/38.80 Demodulation : 18.23
% 54.57/38.80 BG Simplification : 0.26
% 54.57/38.80 Subsumption : 7.85
% 54.57/38.80 Abstraction : 0.28
% 54.57/38.80 MUC search : 0.00
% 54.57/38.80 Cooper : 0.00
% 54.57/38.80 Total : 37.71
% 54.57/38.80 Index Insertion : 0.00
% 54.57/38.80 Index Deletion : 0.00
% 54.57/38.80 Index Matching : 0.00
% 54.57/38.80 BG Taut test : 0.00
%------------------------------------------------------------------------------