TSTP Solution File: SWV346-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV346-2 : 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/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 : 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 11:03:49 EDT 2023
% Result : Unsatisfiable 2.37s 1.75s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 29
% Syntax : Number of formulae : 38 ( 10 unt; 24 typ; 0 def)
% Number of atoms : 23 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 10 >; 7 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 34 (; 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > #nlpp > tc_List_Olist > c_Public_OshrK > c_Message_Omsg_ONonce > c_Message_Omsg_OKey > c_Message_Omsg_OAgent > v_nb > v_na > v_evso > v_X > v_NB > v_NA > v_K > v_Ba > v_B > v_Aa > v_A > tc_Event_Oevent > c_Yahalom_Oyahalom > c_Message_Oagent_OServer
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Message_Omsg_OMPair,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(v_K,type,
v_K: $i ).
tff(v_X,type,
v_X: $i ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
tff(tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
tff(v_evso,type,
v_evso: $i ).
tff(v_NA,type,
v_NA: $i ).
tff(v_NB,type,
v_NB: $i ).
tff(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $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(v_na,type,
v_na: $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_nb,type,
v_nb: $i ).
tff(v_Ba,type,
v_Ba: $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(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(f_41,axiom,
v_na != c_Message_Omsg_ONonce(v_NA),
file(unknown,unknown) ).
tff(f_38,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_37,axiom,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file(unknown,unknown) ).
tff(f_39,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_36,axiom,
! [V_B,V_nb,V_A_H,V_X_H,V_A,V_X,V_B_H,V_na,V_na_H,V_K,V_nb_H,V_evs] :
( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ( V_na = V_na_H ) ),
file(unknown,unknown) ).
tff(c_10,plain,
c_Message_Omsg_ONonce(v_NA) != v_na,
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_6,plain,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_4,plain,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_8,plain,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_11,plain,
! [V_B_20,V_A_H_23,V_nb_H_22,V_K_14,V_X_19,V_B_H_16,V_na_24,V_X_H_17,V_A_15,V_evs_21,V_nb_13,V_na_H_18] :
( ( V_na_H_18 = V_na_24 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_15,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_15),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_20),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_14),c_Message_Omsg_OMPair(V_na_24,V_nb_13)))),V_X_19)),c_List_Oset(V_evs_21,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H_23,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H_23),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H_16),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_14),c_Message_Omsg_OMPair(V_na_H_18,V_nb_H_22)))),V_X_H_17)),c_List_Oset(V_evs_21,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_21,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_13,plain,
! [V_A_H_23,V_nb_H_22,V_B_H_16,V_X_H_17,V_na_H_18] :
( ( v_na = V_na_H_18 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H_23,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H_23),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H_16),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_H_18,V_nb_H_22)))),V_X_H_17)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_8,c_11]) ).
tff(c_22,plain,
! [V_nb_H_28,V_A_H_26,V_na_H_25,V_X_H_29,V_B_H_27] :
( ( v_na = V_na_H_25 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H_26,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H_26),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H_27),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_H_25,V_nb_H_28)))),V_X_H_29)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13]) ).
tff(c_28,plain,
c_Message_Omsg_ONonce(v_NA) = v_na,
inference(resolution,[status(thm)],[c_6,c_22]) ).
tff(c_34,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV346-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n001.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 23:11:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.37/1.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.37/1.75
% 2.37/1.75 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.79/1.79
% 2.79/1.79 Inference rules
% 2.79/1.79 ----------------------
% 2.79/1.79 #Ref : 0
% 2.79/1.79 #Sup : 4
% 2.79/1.79 #Fact : 0
% 2.79/1.79 #Define : 0
% 2.79/1.79 #Split : 0
% 2.79/1.79 #Chain : 0
% 2.79/1.79 #Close : 0
% 2.79/1.79
% 2.79/1.79 Ordering : KBO
% 2.79/1.79
% 2.79/1.79 Simplification rules
% 2.79/1.79 ----------------------
% 2.79/1.79 #Subsume : 0
% 2.79/1.79 #Demod : 2
% 2.79/1.79 #Tautology : 1
% 2.79/1.79 #SimpNegUnit : 1
% 2.79/1.79 #BackRed : 0
% 2.79/1.79
% 2.79/1.79 #Partial instantiations: 0
% 2.79/1.79 #Strategies tried : 1
% 2.79/1.79
% 2.79/1.79 Timing (in seconds)
% 2.79/1.79 ----------------------
% 2.79/1.79 Preprocessing : 0.47
% 2.79/1.79 Parsing : 0.28
% 2.79/1.79 CNF conversion : 0.02
% 2.79/1.80 Main loop : 0.16
% 2.79/1.80 Inferencing : 0.08
% 2.79/1.80 Reduction : 0.04
% 2.79/1.80 Demodulation : 0.03
% 2.79/1.80 BG Simplification : 0.01
% 2.79/1.80 Subsumption : 0.03
% 2.79/1.80 Abstraction : 0.01
% 2.79/1.80 MUC search : 0.00
% 2.79/1.80 Cooper : 0.00
% 2.79/1.80 Total : 0.70
% 2.79/1.80 Index Insertion : 0.00
% 2.79/1.80 Index Deletion : 0.00
% 2.79/1.80 Index Matching : 0.00
% 2.79/1.80 BG Taut test : 0.00
%------------------------------------------------------------------------------