%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV360-2 : TPTP v9.0.0. 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 : 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 : Wed Apr 9 09:30:19 PM UTC 2025
% Result : Unsatisfiable 2.28s 1.51s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 41 ( 41 !; 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_Omsg_ONonce > c_Message_Omsg_OAgent > c_Message_Oanalz > v_evs3 > v_NB > v_NAa > v_NA > v_Ba > v_B > v_Aa > v_A > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_Yahalom_Oyahalom > c_Message_Oagent_OSpy > c_Message_Oagent_OServer > c_Event_Obad
%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(v_NAa,type,
v_NAa: $i ).
tff(c_Event_Obad,type,
c_Event_Obad: $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(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(v_evs3,type,
v_evs3: $i ).
tff(tc_Message_Oagent,type,
tc_Message_Oagent: $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_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_40,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file(unknown,unknown) ).
tff(f_42,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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_45,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_41,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file(unknown,unknown) ).
tff(f_43,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_38,axiom,
! [V_B,V_S_H,V_nb,V_NA,V_A_H,V_S,V_X_H,V_A,V_X,V_NA_H,V_C,V_B_H,V_evs] :
( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,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_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,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),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ( V_B_H = V_B ) ),
file(unknown,unknown) ).
tff(f_46,axiom,
c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
file(unknown,unknown) ).
tff(c_4,plain,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_8,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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_12,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_45]) ).
tff(c_6,plain,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_10,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_43]) ).
tff(c_15,plain,
! [V_nb_19,V_NA_14,V_A_22,V_evs_26,V_A_H_20,V_NA_H_18,V_C_16,V_B_23,V_S_15,V_B_H_25,V_S_H_17,V_X_21,V_X_H_24] :
( ( V_B_H_25 = V_B_23 )
| c_in(V_nb_19,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_26)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_C_16,V_S_15,c_Message_Omsg_OMPair(V_X_21,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_23),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_22),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_14),V_nb_19))))),c_List_Oset(V_evs_26,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(V_S_H_17,c_Message_Omsg_OMPair(V_X_H_24,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H_25),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_20),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H_18),V_nb_19))))),c_List_Oset(V_evs_26,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_26,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_17,plain,
! [V_A_H_20,V_NA_H_18,V_B_H_25,V_S_H_17,V_X_H_24] :
( ( v_B = V_B_H_25 )
| 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_Event_Oevent_OGets(V_S_H_17,c_Message_Omsg_OMPair(V_X_H_24,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H_25),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_20),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H_18),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_10,c_15]) ).
tff(c_20,plain,
! [V_A_H_20,V_NA_H_18,V_B_H_25,V_S_H_17,V_X_H_24] :
( ( v_B = V_B_H_25 )
| 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_Event_Oevent_OGets(V_S_H_17,c_Message_Omsg_OMPair(V_X_H_24,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H_25),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_20),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H_18),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_17]) ).
tff(c_22,plain,
! [V_A_H_27,V_B_H_30,V_X_H_29,V_S_H_28,V_NA_H_31] :
( ( v_B = V_B_H_30 )
| ~ c_in(c_Event_Oevent_OGets(V_S_H_28,c_Message_Omsg_OMPair(V_X_H_29,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H_30),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_27),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H_31),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_20]) ).
tff(c_26,plain,
v_Ba = v_B,
inference(resolution,[status(thm)],[c_8,c_22]) ).
tff(c_14,plain,
c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_28,plain,
c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_14]) ).
tff(c_30,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV360-2 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.09 % 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
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Wed Apr 9 03:07:15 EDT 2025
% 0.09/0.28 % CPUTime :
% 2.28/1.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.28/1.51
% 2.28/1.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------