TSTP Solution File: SWV361-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV361-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n016.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 11:03:53 EDT 2023
% Result : Unsatisfiable 3.50s 2.03s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 36
% Syntax : Number of formulae : 57 ( 17 unt; 26 typ; 0 def)
% Number of atoms : 52 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 13 >; 9 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-3 aty)
% Number of variables : 54 (; 54 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_Event_Oknows > c_Event_Oevent_OGets > #nlpp > tc_List_Olist > c_Public_OshrK > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OAgent > c_Message_Oanalz > v_evs3 > v_NBa > v_NB > v_NA > v_Ba > v_B > v_Aa > v_A > tc_Message_Omsg > tc_Event_Oevent > c_Yahalom_Oyahalom > c_Message_Oagent_OSpy > c_Message_Oagent_OServer
%Foreground sorts:
%Background operators:
%Foreground operators:
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_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
tff(v_NA,type,
v_NA: $i ).
tff(v_NB,type,
v_NB: $i ).
tff(v_NBa,type,
v_NBa: $i ).
tff(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(v_evs3,type,
v_evs3: $i ).
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_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(v_B,type,
v_B: $i ).
tff(c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
tff(v_Ba,type,
v_Ba: $i ).
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_Oevent_OSays,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(c_Yahalom_Oyahalom,type,
c_Yahalom_Oyahalom: $i ).
tff(f_66,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_62,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file(unknown,unknown) ).
tff(f_42,axiom,
! [V_H] : ( c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ),
file(unknown,unknown) ).
tff(f_63,axiom,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_50,axiom,
! [V_evs,V_B,V_X] :
( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [V_B,V_A_H,V_NB,V_A,V_B_H,V_na,V_nb_H,V_evs] :
( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),V_nb_H))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_64,axiom,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_A,V_B,V_X,V_evs] :
( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_20,plain,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_14,plain,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_8,plain,
! [V_H_10] : ( c_Message_Oparts(c_Message_Oanalz(V_H_10)) = c_Message_Oparts(V_H_10) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_16,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_10,plain,
! [V_X_13,V_evs_11,V_B_12] :
( c_in(V_X_13,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_11)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(V_B_12,V_X_13),c_List_Oset(V_evs_11,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_11,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_110,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_16,c_10]) ).
tff(c_113,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_110]) ).
tff(c_6,plain,
! [V_X_8,V_H_9] :
( c_in(V_X_8,c_Message_Oparts(V_H_9),tc_Message_Omsg)
| ~ c_in(V_X_8,V_H_9,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_38,plain,
! [V_Y_27,V_H_28,V_X_29] :
( c_in(V_Y_27,c_Message_Oparts(V_H_28),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_29,V_Y_27),c_Message_Oparts(V_H_28),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_51,plain,
! [V_Y_27,V_H_9,V_X_29] :
( c_in(V_Y_27,c_Message_Oparts(V_H_9),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_29,V_Y_27),V_H_9,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_6,c_38]) ).
tff(c_235,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_113,c_51]) ).
tff(c_261,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_235]) ).
tff(c_12,plain,
! [V_B_H_18,V_A_H_15,V_A_17,V_na_19,V_NB_16,V_B_14,V_nb_H_20,V_evs_21] :
( c_in(c_Message_Omsg_ONonce(V_NB_16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_21)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H_18),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_15),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB_16),V_nb_H_20))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_21)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_14),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_17),c_Message_Omsg_OMPair(V_na_19,c_Message_Omsg_ONonce(V_NB_16)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_21)),tc_Message_Omsg)
| ~ c_in(V_evs_21,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_263,plain,
! [V_B_14,V_A_17,V_na_19] :
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_14),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_17),c_Message_Omsg_OMPair(V_na_19,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_261,c_12]) ).
tff(c_266,plain,
! [V_B_14,V_A_17,V_na_19] :
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_14),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_17),c_Message_Omsg_OMPair(V_na_19,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_14,c_263]) ).
tff(c_267,plain,
! [V_B_14,V_A_17,V_na_19] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_14),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_17),c_Message_Omsg_OMPair(V_na_19,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_20,c_266]) ).
tff(c_18,plain,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_2,plain,
! [V_X_3,V_evs_4,V_A_1,V_B_2] :
( c_in(V_X_3,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A_1,V_B_2,V_X_3),c_List_Oset(V_evs_4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_146,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_18,c_2]) ).
tff(c_171,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_146,c_51]) ).
tff(c_290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_267,c_171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SWV361-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.16 % 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
% 0.13/0.38 % Computer : n016.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Thu Aug 3 23:43:08 EDT 2023
% 0.13/0.38 % CPUTime :
% 3.50/2.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.50/2.03
% 3.50/2.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.77/2.06
% 3.77/2.06 Inference rules
% 3.77/2.06 ----------------------
% 3.77/2.06 #Ref : 0
% 3.77/2.06 #Sup : 61
% 3.77/2.06 #Fact : 0
% 3.77/2.06 #Define : 0
% 3.77/2.06 #Split : 0
% 3.77/2.06 #Chain : 0
% 3.77/2.06 #Close : 0
% 3.77/2.06
% 3.77/2.06 Ordering : KBO
% 3.77/2.06
% 3.77/2.06 Simplification rules
% 3.77/2.06 ----------------------
% 3.77/2.06 #Subsume : 1
% 3.77/2.06 #Demod : 15
% 3.77/2.06 #Tautology : 2
% 3.77/2.06 #SimpNegUnit : 3
% 3.77/2.06 #BackRed : 1
% 3.77/2.06
% 3.77/2.06 #Partial instantiations: 0
% 3.77/2.06 #Strategies tried : 1
% 3.77/2.06
% 3.77/2.06 Timing (in seconds)
% 3.77/2.06 ----------------------
% 3.77/2.06 Preprocessing : 0.50
% 3.77/2.06 Parsing : 0.29
% 3.77/2.07 CNF conversion : 0.02
% 3.77/2.07 Main loop : 0.39
% 3.77/2.07 Inferencing : 0.16
% 3.77/2.07 Reduction : 0.10
% 3.77/2.07 Demodulation : 0.07
% 3.77/2.07 BG Simplification : 0.02
% 3.77/2.07 Subsumption : 0.09
% 3.77/2.07 Abstraction : 0.01
% 3.77/2.07 MUC search : 0.00
% 3.77/2.07 Cooper : 0.00
% 3.77/2.07 Total : 0.94
% 3.77/2.07 Index Insertion : 0.00
% 3.77/2.07 Index Deletion : 0.00
% 3.77/2.07 Index Matching : 0.00
% 3.77/2.07 BG Taut test : 0.00
%------------------------------------------------------------------------------