TSTP Solution File: SWV332-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV332-2 : 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 : n029.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 11:03:45 EDT 2023
% Result : Unsatisfiable 5.00s 2.62s
% Output : CNFRefutation 5.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 47
% Syntax : Number of formulae : 111 ( 33 unt; 32 typ; 0 def)
% Number of atoms : 190 ( 34 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 198 ( 87 ~; 111 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 16 >; 15 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 16 con; 0-4 aty)
% Number of variables : 200 (; 200 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > v_sko__2jj > v_sko__2ji > 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_OKey > c_Message_Omsg_OAgent > c_Message_Oanalz > v_evs4 > v_X > v_NB > v_NA > v_K > 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(v_K,type,
v_K: $i ).
tff(v_evs4,type,
v_evs4: $i ).
tff(v_X,type,
v_X: $i ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $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(tc_Message_Oagent,type,
tc_Message_Oagent: $i ).
tff(v_sko__2ji,type,
v_sko__2ji: ( $i * $i * $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(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_sko__2jj,type,
v_sko__2jj: ( $i * $i * $i * $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_111,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_99,axiom,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file(unknown,unknown) ).
tff(f_109,axiom,
c_in(c_Event_Oevent_OGets(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_evs4,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_76,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_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [V_A,V_X,V_evs] :
( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_114,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file(unknown,unknown) ).
tff(f_112,axiom,
c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_58,axiom,
! [V_B,V_nb,V_A,V_na,V_K,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_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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| 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_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file(unknown,unknown) ).
tff(f_68,axiom,
! [V_evs,V_B,V_A,V_K] :
( ~ 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_OKey(V_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| 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(c_Message_Omsg_ONonce(v_sko__2ji(V_A,V_B,V_K,V_evs)),c_Message_Omsg_ONonce(v_sko__2jj(V_A,V_B,V_K,V_evs)))))),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_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file(unknown,unknown) ).
tff(f_87,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_A = V_A_H ) ),
file(unknown,unknown) ).
tff(f_108,axiom,
! [V_U] :
( ( V_U != v_X )
| ( v_B != v_Ba )
| ( v_A != v_Aa ) ),
file(unknown,unknown) ).
tff(f_98,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_B = V_B_H ) ),
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_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_26,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_20,plain,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_24,plain,
c_in(c_Event_Oevent_OGets(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_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_14,plain,
! [V_X_24,V_evs_22,V_B_23] :
( c_in(V_X_24,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_22)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(V_B_23,V_X_24),c_List_Oset(V_evs_22,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_22,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_39,plain,
( c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_24,c_14]) ).
tff(c_42,plain,
c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_39]) ).
tff(c_6,plain,
! [V_X_6,V_H_8,V_Y_7] :
( c_in(V_X_6,c_Message_Oanalz(V_H_8),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_6,V_Y_7),c_Message_Oanalz(V_H_8),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_50,plain,
c_in(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))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_42,c_6]) ).
tff(c_8,plain,
! [V_X_10,V_evs_11,V_A_9] :
( c_in(V_X_10,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_11)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_9),V_X_10),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_11)),tc_Message_Omsg)
| ~ c_in(V_A_9,c_Event_Obad,tc_Message_Oagent) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_54,plain,
( c_in(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)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[status(thm)],[c_50,c_8]) ).
tff(c_56,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_2,plain,
! [V_X_1,V_H_2] :
( c_in(V_X_1,c_Message_Oparts(V_H_2),tc_Message_Omsg)
| ~ c_in(V_X_1,c_Message_Oanalz(V_H_2),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_30,plain,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_28,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_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_10,plain,
! [V_K_16,V_na_15,V_evs_17,V_B_12,V_A_14,V_nb_13] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_14,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_14),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_12),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_16),c_Message_Omsg_OMPair(V_na_15,V_nb_13)))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_14),c_Message_Omsg_OKey(V_K_16))))),c_List_Oset(V_evs_17,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_A_14,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_14),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_12),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_16),c_Message_Omsg_OMPair(V_na_15,V_nb_13)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_17)),tc_Message_Omsg)
| ~ c_in(V_evs_17,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_88,plain,
! [V_A_146,V_B_147,V_K_148,V_evs_149] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_146,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_146),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_147),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_148),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(V_A_146,V_B_147,V_K_148,V_evs_149)),c_Message_Omsg_ONonce(v_sko__2jj(V_A_146,V_B_147,V_K_148,V_evs_149)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_147),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_146),c_Message_Omsg_OKey(V_K_148))))),c_List_Oset(V_evs_149,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_B_147,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_147),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_146),c_Message_Omsg_OKey(V_K_148))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_149)),tc_Message_Omsg)
| ~ c_in(V_evs_149,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_16,plain,
! [V_X_30,V_A_H_27,V_na_H_33,V_nb_H_35,V_na_32,V_B_H_31,V_K_34,V_nb_26,V_B_25,V_X_H_28,V_evs_36,V_A_29] :
( ( V_A_H_27 = V_A_29 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_29,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_29),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_25),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_34),c_Message_Omsg_OMPair(V_na_32,V_nb_26)))),V_X_30)),c_List_Oset(V_evs_36,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H_27,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H_27),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H_31),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_34),c_Message_Omsg_OMPair(V_na_H_33,V_nb_H_35)))),V_X_H_28)),c_List_Oset(V_evs_36,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_36,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_144,plain,
! [V_K_187,V_nb_H_185,V_A_182,V_B_186,V_X_H_183,V_A_H_184,V_B_H_189,V_evs_188,V_na_H_181] :
( ( V_A_H_184 = V_A_182 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H_184,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H_184),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H_189),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_187),c_Message_Omsg_OMPair(V_na_H_181,V_nb_H_185)))),V_X_H_183)),c_List_Oset(V_evs_188,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_B_186,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_186),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_182),c_Message_Omsg_OKey(V_K_187))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_188)),tc_Message_Omsg)
| ~ c_in(V_evs_188,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_88,c_16]) ).
tff(c_192,plain,
! [V_A_223,V_B_227,V_na_222,V_nb_225,V_A_220,V_evs_226,V_B_221,V_K_224] :
( ( V_A_223 = V_A_220 )
| c_in(V_B_227,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_227),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_223),c_Message_Omsg_OKey(V_K_224))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_226)),tc_Message_Omsg)
| c_in(V_A_220,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_220),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_221),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_224),c_Message_Omsg_OMPair(V_na_222,V_nb_225)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_226)),tc_Message_Omsg)
| ~ c_in(V_evs_226,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_10,c_144]) ).
tff(c_194,plain,
! [V_A_220,V_B_221,V_na_222,V_nb_225] :
( ( v_A = V_A_220 )
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(V_A_220,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_220),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_221),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_222,V_nb_225)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_28,c_192]) ).
tff(c_200,plain,
! [V_A_220,V_B_221,V_na_222,V_nb_225] :
( ( v_A = V_A_220 )
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(V_A_220,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_220),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_221),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_222,V_nb_225)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_194]) ).
tff(c_203,plain,
! [V_A_228,V_B_229,V_na_230,V_nb_231] :
( ( v_A = V_A_228 )
| c_in(V_A_228,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_228),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_229),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_230,V_nb_231)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(negUnitSimplification,[status(thm)],[c_30,c_200]) ).
tff(c_208,plain,
! [V_A_232,V_B_233,V_na_234,V_nb_235] :
( ( v_A = V_A_232 )
| c_in(V_A_232,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_232),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_233),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_234,V_nb_235)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_2,c_203]) ).
tff(c_211,plain,
( ( v_Aa = v_A )
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[status(thm)],[c_50,c_208]) ).
tff(c_214,plain,
v_Aa = v_A,
inference(negUnitSimplification,[status(thm)],[c_56,c_211]) ).
tff(c_215,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_56]) ).
tff(c_22,plain,
( ( v_Aa != v_A )
| ( v_Ba != v_B ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_31,plain,
v_Ba != v_B,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_216,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),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))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_50]) ).
tff(c_18,plain,
! [V_evs_48,V_B_H_43,V_A_41,V_K_46,V_na_44,V_nb_H_47,V_nb_38,V_X_H_40,V_na_H_45,V_X_42,V_A_H_39,V_B_37] :
( ( V_B_H_43 = V_B_37 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_41,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_41),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_37),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_46),c_Message_Omsg_OMPair(V_na_44,V_nb_38)))),V_X_42)),c_List_Oset(V_evs_48,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H_39,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H_39),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H_43),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_46),c_Message_Omsg_OMPair(V_na_H_45,V_nb_H_47)))),V_X_H_40)),c_List_Oset(V_evs_48,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_48,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_101,plain,
! [V_B_H_155,V_A_152,V_X_H_151,V_evs_158,V_A_H_157,V_nb_H_150,V_na_H_153,V_B_154,V_K_156] :
( ( V_B_H_155 = V_B_154 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H_157,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H_157),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H_155),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_156),c_Message_Omsg_OMPair(V_na_H_153,V_nb_H_150)))),V_X_H_151)),c_List_Oset(V_evs_158,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_B_154,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_154),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_152),c_Message_Omsg_OKey(V_K_156))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_158)),tc_Message_Omsg)
| ~ c_in(V_evs_158,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_88,c_18]) ).
tff(c_255,plain,
! [V_A_244,V_evs_251,V_B_249,V_A_245,V_na_247,V_B_246,V_nb_250,V_K_248] :
( ( V_B_249 = V_B_246 )
| c_in(V_B_249,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_249),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_244),c_Message_Omsg_OKey(V_K_248))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_251)),tc_Message_Omsg)
| c_in(V_A_245,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_245),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_246),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_248),c_Message_Omsg_OMPair(V_na_247,V_nb_250)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_251)),tc_Message_Omsg)
| ~ c_in(V_evs_251,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_10,c_101]) ).
tff(c_257,plain,
! [V_B_246,V_A_245,V_na_247,V_nb_250] :
( ( v_B = V_B_246 )
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(V_A_245,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_245),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_246),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_247,V_nb_250)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_28,c_255]) ).
tff(c_263,plain,
! [V_B_246,V_A_245,V_na_247,V_nb_250] :
( ( v_B = V_B_246 )
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(V_A_245,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_245),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_246),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_247,V_nb_250)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_257]) ).
tff(c_266,plain,
! [V_B_252,V_A_253,V_na_254,V_nb_255] :
( ( v_B = V_B_252 )
| c_in(V_A_253,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_253),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_252),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_254,V_nb_255)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(negUnitSimplification,[status(thm)],[c_30,c_263]) ).
tff(c_271,plain,
! [V_B_256,V_A_257,V_na_258,V_nb_259] :
( ( v_B = V_B_256 )
| c_in(V_A_257,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_257),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_256),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_258,V_nb_259)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_2,c_266]) ).
tff(c_274,plain,
( ( v_Ba = v_B )
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[status(thm)],[c_216,c_271]) ).
tff(c_278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_215,c_31,c_274]) ).
tff(c_279,plain,
c_in(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)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_4,plain,
! [V_Y_4,V_H_5,V_X_3] :
( c_in(V_Y_4,c_Message_Oanalz(V_H_5),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_3,V_Y_4),c_Message_Oanalz(V_H_5),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_287,plain,
c_in(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))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_279,c_4]) ).
tff(c_294,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_287,c_6]) ).
tff(c_299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_294]) ).
tff(c_301,plain,
v_Ba = v_B,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_311,plain,
c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(demodulation,[status(thm),theory(equality)],[c_301,c_24]) ).
tff(c_314,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_311,c_14]) ).
tff(c_317,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_314]) ).
tff(c_324,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_317,c_6]) ).
tff(c_329,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[status(thm)],[c_324,c_8]) ).
tff(c_331,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(splitLeft,[status(thm)],[c_329]) ).
tff(c_300,plain,
v_Aa != v_A,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_344,plain,
! [V_A_315,V_B_316,V_K_317,V_evs_318] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_315,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_315),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_316),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_317),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(V_A_315,V_B_316,V_K_317,V_evs_318)),c_Message_Omsg_ONonce(v_sko__2jj(V_A_315,V_B_316,V_K_317,V_evs_318)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_316),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_315),c_Message_Omsg_OKey(V_K_317))))),c_List_Oset(V_evs_318,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_B_316,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_316),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_315),c_Message_Omsg_OKey(V_K_317))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_318)),tc_Message_Omsg)
| ~ c_in(V_evs_318,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_397,plain,
! [V_K_350,V_A_H_355,V_evs_354,V_na_H_352,V_nb_H_356,V_B_357,V_A_351,V_X_H_353,V_B_H_358] :
( ( V_A_H_355 = V_A_351 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H_355,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H_355),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H_358),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_350),c_Message_Omsg_OMPair(V_na_H_352,V_nb_H_356)))),V_X_H_353)),c_List_Oset(V_evs_354,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_B_357,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_357),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_351),c_Message_Omsg_OKey(V_K_350))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_354)),tc_Message_Omsg)
| ~ c_in(V_evs_354,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_344,c_16]) ).
tff(c_447,plain,
! [V_nb_398,V_B_394,V_na_396,V_K_397,V_A_395,V_evs_399,V_A_392,V_B_393] :
( ( V_A_395 = V_A_392 )
| c_in(V_B_393,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_393),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_395),c_Message_Omsg_OKey(V_K_397))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_399)),tc_Message_Omsg)
| c_in(V_A_392,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_392),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_394),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K_397),c_Message_Omsg_OMPair(V_na_396,V_nb_398)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_399)),tc_Message_Omsg)
| ~ c_in(V_evs_399,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_10,c_397]) ).
tff(c_449,plain,
! [V_A_392,V_B_394,V_na_396,V_nb_398] :
( ( v_A = V_A_392 )
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(V_A_392,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_392),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_394),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_396,V_nb_398)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_28,c_447]) ).
tff(c_455,plain,
! [V_A_392,V_B_394,V_na_396,V_nb_398] :
( ( v_A = V_A_392 )
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(V_A_392,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_392),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_394),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_396,V_nb_398)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_449]) ).
tff(c_458,plain,
! [V_A_400,V_B_401,V_na_402,V_nb_403] :
( ( v_A = V_A_400 )
| c_in(V_A_400,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_400),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_401),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_402,V_nb_403)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(negUnitSimplification,[status(thm)],[c_30,c_455]) ).
tff(c_463,plain,
! [V_A_404,V_B_405,V_na_406,V_nb_407] :
( ( v_A = V_A_404 )
| c_in(V_A_404,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_404),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_405),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(V_na_406,V_nb_407)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_2,c_458]) ).
tff(c_466,plain,
( ( v_Aa = v_A )
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[status(thm)],[c_324,c_463]) ).
tff(c_470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331,c_300,c_466]) ).
tff(c_471,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(splitRight,[status(thm)],[c_329]) ).
tff(c_480,plain,
c_in(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))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_471,c_4]) ).
tff(c_484,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_480,c_6]) ).
tff(c_491,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_484]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV332-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 23:31:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 5.00/2.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.36/2.63
% 5.36/2.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.60/2.70
% 5.60/2.70 Inference rules
% 5.60/2.70 ----------------------
% 5.60/2.70 #Ref : 0
% 5.60/2.70 #Sup : 90
% 5.60/2.70 #Fact : 0
% 5.60/2.70 #Define : 0
% 5.60/2.70 #Split : 3
% 5.60/2.70 #Chain : 0
% 5.60/2.70 #Close : 0
% 5.60/2.70
% 5.60/2.70 Ordering : KBO
% 5.60/2.70
% 5.60/2.70 Simplification rules
% 5.60/2.70 ----------------------
% 5.60/2.70 #Subsume : 7
% 5.60/2.70 #Demod : 23
% 5.60/2.70 #Tautology : 12
% 5.60/2.70 #SimpNegUnit : 21
% 5.60/2.70 #BackRed : 4
% 5.60/2.70
% 5.60/2.70 #Partial instantiations: 0
% 5.60/2.70 #Strategies tried : 1
% 5.60/2.70
% 5.60/2.70 Timing (in seconds)
% 5.60/2.70 ----------------------
% 5.60/2.70 Preprocessing : 0.71
% 5.60/2.70 Parsing : 0.36
% 5.60/2.70 CNF conversion : 0.04
% 5.60/2.70 Main loop : 0.69
% 5.60/2.70 Inferencing : 0.29
% 5.60/2.70 Reduction : 0.17
% 5.60/2.70 Demodulation : 0.11
% 5.60/2.70 BG Simplification : 0.03
% 5.60/2.70 Subsumption : 0.15
% 5.60/2.70 Abstraction : 0.02
% 5.60/2.70 MUC search : 0.00
% 5.60/2.71 Cooper : 0.00
% 5.60/2.71 Total : 1.51
% 5.60/2.71 Index Insertion : 0.00
% 5.60/2.71 Index Deletion : 0.00
% 5.60/2.71 Index Matching : 0.00
% 5.60/2.71 BG Taut test : 0.00
%------------------------------------------------------------------------------