TSTP Solution File: SWV348-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV348-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 Apr 30 16:45:40 EDT 2024
% Result : Unsatisfiable 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 94
% Syntax : Number of formulae : 289 ( 29 unt; 0 def)
% Number of atoms : 874 ( 21 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1063 ( 478 ~; 511 |; 0 &)
% ( 74 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 77 ( 75 usr; 75 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 17 con; 0-3 aty)
% Number of variables : 355 ( 355 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f526,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f30,f35,f40,f44,f49,f54,f58,f62,f67,f71,f75,f81,f85,f89,f93,f98,f102,f107,f111,f117,f123,f131,f136,f140,f147,f154,f159,f166,f171,f176,f181,f190,f196,f204,f208,f212,f217,f222,f231,f241,f253,f257,f262,f271,f274,f289,f301,f306,f311,f325,f334,f349,f360,f361,f362,f364,f369,f374,f379,f383,f385,f408,f413,f429,f439,f444,f449,f454,f470,f475,f485,f490,f497,f507,f513,f520,f524,f525]) ).
fof(f525,plain,
( spl0_3
| ~ spl0_11
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f456,f446,f69,f32]) ).
fof(f32,plain,
( spl0_3
<=> c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f69,plain,
( spl0_11
<=> ! [X2,X0,X1] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f446,plain,
( spl0_64
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f456,plain,
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_11
| ~ spl0_64 ),
inference(resolution,[],[f448,f70]) ).
fof(f70,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f448,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f524,plain,
( spl0_74
| ~ spl0_9
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f353,f347,f60,f522]) ).
fof(f522,plain,
( spl0_74
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1))))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f60,plain,
( spl0_9
<=> ! [X2,X0] :
( ~ c_in(X0,X2,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f347,plain,
( spl0_53
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f353,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1))))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) )
| ~ spl0_9
| ~ spl0_53 ),
inference(resolution,[],[f348,f61]) ).
fof(f61,plain,
( ! [X2,X0] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X0,X2,tc_Message_Omsg) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f348,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1)))),tc_Message_Omsg) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f520,plain,
( spl0_73
| ~ spl0_33
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f351,f347,f187,f517]) ).
fof(f517,plain,
( spl0_73
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f187,plain,
( spl0_33
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f351,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))))),tc_Message_Omsg)
| ~ spl0_33
| ~ spl0_53 ),
inference(resolution,[],[f348,f189]) ).
fof(f189,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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f513,plain,
( spl0_72
| ~ spl0_6
| ~ spl0_47
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f292,f268,f259,f46,f510]) ).
fof(f510,plain,
( spl0_72
<=> c_in(c_Event_Oevent_OSays(v_Ba,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_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f46,plain,
( spl0_6
<=> 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_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f259,plain,
( spl0_47
<=> v_B = v_Ba ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f268,plain,
( spl0_48
<=> v_NAa = v_NA ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f292,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,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_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_6
| ~ spl0_47
| ~ spl0_48 ),
inference(forward_demodulation,[],[f290,f261]) ).
fof(f261,plain,
( v_B = v_Ba
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f290,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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_6
| ~ spl0_48 ),
inference(superposition,[],[f48,f270]) ).
fof(f270,plain,
( v_NAa = v_NA
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f48,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_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f507,plain,
( spl0_71
| ~ spl0_6
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f290,f268,f46,f504]) ).
fof(f504,plain,
( spl0_71
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f497,plain,
( spl0_70
| ~ spl0_13
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f342,f303,f79,f494]) ).
fof(f494,plain,
( spl0_70
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f79,plain,
( spl0_13
<=> ! [X0,X1] :
( c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f303,plain,
( spl0_51
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f342,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_13
| ~ spl0_51 ),
inference(resolution,[],[f305,f80]) ).
fof(f80,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f305,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f490,plain,
( spl0_69
| ~ spl0_11
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f338,f303,f69,f487]) ).
fof(f487,plain,
( spl0_69
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f338,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_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_11
| ~ spl0_51 ),
inference(resolution,[],[f305,f70]) ).
fof(f485,plain,
( spl0_68
| ~ spl0_12
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f455,f446,f73,f482]) ).
fof(f482,plain,
( spl0_68
<=> c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f73,plain,
( spl0_12
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f455,plain,
( c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_12
| ~ spl0_64 ),
inference(resolution,[],[f448,f74]) ).
fof(f74,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f475,plain,
( spl0_67
| ~ spl0_13
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f420,f410,f79,f472]) ).
fof(f472,plain,
( spl0_67
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f410,plain,
( spl0_60
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f420,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_13
| ~ spl0_60 ),
inference(resolution,[],[f412,f80]) ).
fof(f412,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f470,plain,
( spl0_66
| ~ spl0_53
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f431,f426,f347,f467]) ).
fof(f467,plain,
( spl0_66
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f426,plain,
( spl0_61
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f431,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))))),tc_Message_Omsg)
| ~ spl0_53
| ~ spl0_61 ),
inference(resolution,[],[f428,f348]) ).
fof(f428,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_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f454,plain,
( spl0_65
| ~ spl0_8
| ~ spl0_53
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f421,f410,f347,f56,f451]) ).
fof(f451,plain,
( spl0_65
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f56,plain,
( spl0_8
<=> ! [X2] : c_Message_Oparts(X2) = c_Message_Oparts(c_Message_Oanalz(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f421,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))))),tc_Message_Omsg)
| ~ spl0_8
| ~ spl0_53
| ~ spl0_60 ),
inference(forward_demodulation,[],[f416,f57]) ).
fof(f57,plain,
( ! [X2] : c_Message_Oparts(X2) = c_Message_Oparts(c_Message_Oanalz(X2))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f416,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))))),tc_Message_Omsg)
| ~ spl0_53
| ~ spl0_60 ),
inference(resolution,[],[f412,f348]) ).
fof(f449,plain,
( spl0_64
| ~ spl0_11
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f415,f410,f69,f446]) ).
fof(f415,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_11
| ~ spl0_60 ),
inference(resolution,[],[f412,f70]) ).
fof(f444,plain,
( spl0_63
| ~ spl0_8
| ~ spl0_46
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f422,f410,f255,f56,f441]) ).
fof(f441,plain,
( spl0_63
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f255,plain,
( spl0_46
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f422,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))),tc_Message_Omsg)
| ~ spl0_8
| ~ spl0_46
| ~ spl0_60 ),
inference(forward_demodulation,[],[f417,f57]) ).
fof(f417,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))))),tc_Message_Omsg)
| ~ spl0_46
| ~ spl0_60 ),
inference(resolution,[],[f412,f256]) ).
fof(f256,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1))),tc_Message_Omsg) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f439,plain,
( spl0_62
| ~ spl0_8
| ~ spl0_34
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f423,f410,f194,f56,f436]) ).
fof(f436,plain,
( spl0_62
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f194,plain,
( spl0_34
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f423,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl0_8
| ~ spl0_34
| ~ spl0_60 ),
inference(forward_demodulation,[],[f418,f57]) ).
fof(f418,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))),tc_Message_Omsg)
| ~ spl0_34
| ~ spl0_60 ),
inference(resolution,[],[f412,f195]) ).
fof(f195,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f429,plain,
( spl0_61
| ~ spl0_13
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f281,f224,f79,f426]) ).
fof(f224,plain,
( spl0_40
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f281,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_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_13
| ~ spl0_40 ),
inference(resolution,[],[f226,f80]) ).
fof(f226,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_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f413,plain,
( spl0_60
| ~ spl0_11
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f277,f224,f69,f410]) ).
fof(f277,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_11
| ~ spl0_40 ),
inference(resolution,[],[f226,f70]) ).
fof(f408,plain,
( spl0_59
| ~ spl0_13
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f275,f228,f79,f405]) ).
fof(f405,plain,
( spl0_59
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f228,plain,
( spl0_41
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f275,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_13
| ~ spl0_41 ),
inference(resolution,[],[f229,f80]) ).
fof(f229,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f385,plain,
( ~ spl0_45
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| ~ spl0_45
| ~ spl0_58 ),
inference(resolution,[],[f382,f252]) ).
fof(f252,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl0_45
<=> c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f382,plain,
( ! [X0] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X0))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f381,plain,
( spl0_58
<=> ! [X0] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X0))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f383,plain,
( spl0_58
| ~ spl0_5
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f291,f268,f42,f381]) ).
fof(f42,plain,
( spl0_5
<=> ! [X18] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X18))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f291,plain,
( ! [X0] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X0))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_5
| ~ spl0_48 ),
inference(superposition,[],[f43,f270]) ).
fof(f43,plain,
( ! [X18] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X18))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f379,plain,
( spl0_57
| ~ spl0_8
| ~ spl0_51
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f355,f347,f303,f56,f376]) ).
fof(f376,plain,
( spl0_57
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f355,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))))),tc_Message_Omsg)
| ~ spl0_8
| ~ spl0_51
| ~ spl0_53 ),
inference(forward_demodulation,[],[f352,f57]) ).
fof(f352,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))))),tc_Message_Omsg)
| ~ spl0_51
| ~ spl0_53 ),
inference(resolution,[],[f348,f305]) ).
fof(f374,plain,
( spl0_56
| ~ spl0_8
| ~ spl0_46
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f343,f303,f255,f56,f371]) ).
fof(f371,plain,
( spl0_56
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f343,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))),tc_Message_Omsg)
| ~ spl0_8
| ~ spl0_46
| ~ spl0_51 ),
inference(forward_demodulation,[],[f339,f57]) ).
fof(f339,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))))),tc_Message_Omsg)
| ~ spl0_46
| ~ spl0_51 ),
inference(resolution,[],[f305,f256]) ).
fof(f369,plain,
( spl0_55
| ~ spl0_8
| ~ spl0_34
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f344,f303,f194,f56,f366]) ).
fof(f366,plain,
( spl0_55
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f344,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl0_8
| ~ spl0_34
| ~ spl0_51 ),
inference(forward_demodulation,[],[f340,f57]) ).
fof(f340,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))),tc_Message_Omsg)
| ~ spl0_34
| ~ spl0_51 ),
inference(resolution,[],[f305,f195]) ).
fof(f364,plain,
( spl0_52
| ~ spl0_8
| ~ spl0_26
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f345,f303,f145,f56,f322]) ).
fof(f322,plain,
( spl0_52
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f145,plain,
( spl0_26
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f345,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_8
| ~ spl0_26
| ~ spl0_51 ),
inference(forward_demodulation,[],[f341,f57]) ).
fof(f341,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl0_26
| ~ spl0_51 ),
inference(resolution,[],[f305,f146]) ).
fof(f146,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f362,plain,
( spl0_49
| ~ spl0_12
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f337,f303,f73,f286]) ).
fof(f286,plain,
( spl0_49
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f337,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_12
| ~ spl0_51 ),
inference(resolution,[],[f305,f74]) ).
fof(f361,plain,
( spl0_52
| ~ spl0_13
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f335,f286,f79,f322]) ).
fof(f335,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_13
| ~ spl0_49 ),
inference(resolution,[],[f288,f80]) ).
fof(f288,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f360,plain,
( ~ spl0_54
| ~ spl0_9
| spl0_52 ),
inference(avatar_split_clause,[],[f336,f322,f60,f357]) ).
fof(f357,plain,
( spl0_54
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f336,plain,
( ~ c_in(c_Message_Omsg_OAgent(v_Ba),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)
| ~ spl0_9
| spl0_52 ),
inference(resolution,[],[f323,f61]) ).
fof(f323,plain,
( ~ c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| spl0_52 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f349,plain,
( spl0_53
| ~ spl0_9
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f265,f255,f60,f347]) ).
fof(f265,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1)))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) )
| ~ spl0_9
| ~ spl0_46 ),
inference(resolution,[],[f256,f61]) ).
fof(f334,plain,
( ~ spl0_44
| spl0_1
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f273,f259,f22,f246]) ).
fof(f246,plain,
( spl0_44
<=> c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f22,plain,
( spl0_1
<=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f273,plain,
( ~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| spl0_1
| ~ spl0_47 ),
inference(superposition,[],[f24,f261]) ).
fof(f24,plain,
( ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f325,plain,
( spl0_52
| ~ spl0_8
| ~ spl0_26
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f284,f224,f145,f56,f322]) ).
fof(f284,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_8
| ~ spl0_26
| ~ spl0_40 ),
inference(forward_demodulation,[],[f280,f57]) ).
fof(f280,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl0_26
| ~ spl0_40 ),
inference(resolution,[],[f226,f146]) ).
fof(f311,plain,
( ~ spl0_44
| spl0_1
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f273,f259,f22,f246]) ).
fof(f306,plain,
( ~ spl0_2
| spl0_51
| ~ spl0_15
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f244,f234,f87,f303,f27]) ).
fof(f27,plain,
( spl0_2
<=> c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f87,plain,
( spl0_15
<=> ! [X5,X4,X0] :
( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X5,X0),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f234,plain,
( spl0_42
<=> 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_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f244,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_NAa),c_Message_Omsg_ONonce(v_NB))))),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))
| ~ spl0_15
| ~ spl0_42 ),
inference(resolution,[],[f236,f88]) ).
fof(f88,plain,
( ! [X0,X4,X5] :
( ~ c_in(c_Event_Oevent_OGets(X5,X0),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f236,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_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f301,plain,
( spl0_50
| ~ spl0_33
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f264,f255,f187,f298]) ).
fof(f298,plain,
( spl0_50
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f264,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))))),tc_Message_Omsg)
| ~ spl0_33
| ~ spl0_46 ),
inference(resolution,[],[f256,f189]) ).
fof(f289,plain,
( spl0_49
| ~ spl0_12
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f276,f224,f73,f286]) ).
fof(f276,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_12
| ~ spl0_40 ),
inference(resolution,[],[f226,f74]) ).
fof(f274,plain,
( ~ spl0_43
| ~ spl0_2
| ~ spl0_14
| spl0_41 ),
inference(avatar_split_clause,[],[f232,f228,f83,f27,f238]) ).
fof(f238,plain,
( spl0_43
<=> c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f83,plain,
( spl0_14
<=> ! [X4,X3] :
( ~ c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f232,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_14
| spl0_41 ),
inference(resolution,[],[f230,f84]) ).
fof(f84,plain,
( ! [X3,X4] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X3,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f230,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| spl0_41 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f271,plain,
( spl0_48
| ~ spl0_23
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f243,f234,f129,f268]) ).
fof(f129,plain,
( spl0_23
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| v_NA = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f243,plain,
( v_NAa = v_NA
| ~ spl0_23
| ~ spl0_42 ),
inference(resolution,[],[f236,f130]) ).
fof(f130,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| v_NA = X4 )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f262,plain,
( spl0_47
| ~ spl0_25
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f242,f234,f138,f259]) ).
fof(f138,plain,
( spl0_25
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| v_B = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f242,plain,
( v_B = v_Ba
| ~ spl0_25
| ~ spl0_42 ),
inference(resolution,[],[f236,f139]) ).
fof(f139,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| v_B = X2 )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f257,plain,
( spl0_46
| ~ spl0_9
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f199,f194,f60,f255]) ).
fof(f199,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) )
| ~ spl0_9
| ~ spl0_34 ),
inference(resolution,[],[f195,f61]) ).
fof(f253,plain,
( spl0_44
| spl0_43
| spl0_45
| ~ spl0_4
| ~ spl0_2
| ~ spl0_28
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f184,f178,f157,f27,f37,f250,f238,f246]) ).
fof(f37,plain,
( spl0_4
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f157,plain,
( spl0_28
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X2)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f178,plain,
( spl0_32
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f184,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_28
| ~ spl0_32 ),
inference(resolution,[],[f180,f158]) ).
fof(f158,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X2)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f180,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f241,plain,
( spl0_42
| spl0_43
| ~ spl0_2
| ~ spl0_27
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f185,f178,f152,f27,f238,f234]) ).
fof(f152,plain,
( spl0_27
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f185,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| 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_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_27
| ~ spl0_32 ),
inference(resolution,[],[f180,f153]) ).
fof(f153,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f231,plain,
( spl0_40
| ~ spl0_41
| ~ spl0_16
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f182,f173,f91,f228,f224]) ).
fof(f91,plain,
( spl0_16
<=> ! [X2,X0,X3] :
( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),X0),c_Message_Oanalz(X2),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f173,plain,
( spl0_31
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f182,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| 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_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_16
| ~ spl0_31 ),
inference(resolution,[],[f175,f92]) ).
fof(f92,plain,
( ! [X2,X3,X0] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),X0),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f175,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f222,plain,
( spl0_39
| ~ spl0_33
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f198,f194,f187,f219]) ).
fof(f219,plain,
( spl0_39
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f198,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)))),tc_Message_Omsg)
| ~ spl0_33
| ~ spl0_34 ),
inference(resolution,[],[f195,f189]) ).
fof(f217,plain,
( spl0_38
| ~ spl0_26
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f192,f187,f145,f214]) ).
fof(f214,plain,
( spl0_38
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f192,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl0_26
| ~ spl0_33 ),
inference(resolution,[],[f189,f146]) ).
fof(f212,plain,
( spl0_37
| ~ spl0_9
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f160,f157,f60,f210]) ).
fof(f210,plain,
( spl0_37
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X1)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X2,X3)))),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f160,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X1)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X2,X3)))),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) )
| ~ spl0_9
| ~ spl0_28 ),
inference(resolution,[],[f158,f61]) ).
fof(f208,plain,
( spl0_36
| ~ spl0_9
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f155,f152,f60,f206]) ).
fof(f206,plain,
( spl0_36
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X3,X4)))),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f155,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X3,X4)))),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) )
| ~ spl0_9
| ~ spl0_27 ),
inference(resolution,[],[f153,f61]) ).
fof(f204,plain,
( spl0_35
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f143,f83,f79,f202]) ).
fof(f202,plain,
( spl0_35
<=> ! [X0,X1] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f143,plain,
( ! [X0,X1] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_13
| ~ spl0_14 ),
inference(resolution,[],[f80,f84]) ).
fof(f196,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f149,f145,f60,f194]) ).
fof(f149,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) )
| ~ spl0_9
| ~ spl0_26 ),
inference(resolution,[],[f146,f61]) ).
fof(f190,plain,
( spl0_33
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f141,f104,f79,f187]) ).
fof(f104,plain,
( spl0_19
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f141,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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_13
| ~ spl0_19 ),
inference(resolution,[],[f80,f106]) ).
fof(f106,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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f181,plain,
( spl0_32
| ~ spl0_8
| ~ spl0_19
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f150,f145,f104,f56,f178]) ).
fof(f150,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_8
| ~ spl0_19
| ~ spl0_26 ),
inference(forward_demodulation,[],[f148,f57]) ).
fof(f148,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl0_19
| ~ spl0_26 ),
inference(resolution,[],[f146,f106]) ).
fof(f176,plain,
( spl0_31
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f126,f104,f73,f173]) ).
fof(f126,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_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_12
| ~ spl0_19 ),
inference(resolution,[],[f106,f74]) ).
fof(f171,plain,
( spl0_30
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f142,f79,f37,f168]) ).
fof(f168,plain,
( spl0_30
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f142,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_4
| ~ spl0_13 ),
inference(resolution,[],[f80,f39]) ).
fof(f39,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f166,plain,
( spl0_29
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f161,f133,f79,f163]) ).
fof(f163,plain,
( spl0_29
<=> c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f133,plain,
( spl0_24
<=> c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f161,plain,
( c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_13
| ~ spl0_24 ),
inference(resolution,[],[f135,f80]) ).
fof(f135,plain,
( c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f159,plain,
( spl0_28
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f125,f121,f115,f157]) ).
fof(f115,plain,
( spl0_21
<=> ! [X5,X4,X9,X7,X3,X8] :
( c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X9),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X9),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X9))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f121,plain,
( spl0_22
<=> ! [X4,X9,X7,X8,X5,X3] :
( c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X9),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X8,c_Message_Omsg_OKey(X9)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X9),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X9))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f125,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X2)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) )
| ~ spl0_21
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f124]) ).
fof(f124,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X2)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X5,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_21
| ~ spl0_22 ),
inference(resolution,[],[f122,f116]) ).
fof(f116,plain,
( ! [X3,X8,X9,X7,X4,X5] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X9),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X9))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X9),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(X3,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f122,plain,
( ! [X3,X8,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X9),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X9))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X9),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X8,c_Message_Omsg_OKey(X9)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f154,plain,
( spl0_27
| ~ spl0_17
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f119,f115,f96,f152]) ).
fof(f96,plain,
( spl0_17
<=> ! [X5,X6,X4,X7,X0,X3,X8] :
( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X7,X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,X8)))),X0)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f119,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) )
| ~ spl0_17
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f118,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_17
| ~ spl0_21 ),
inference(resolution,[],[f116,f97]) ).
fof(f97,plain,
( ! [X3,X0,X8,X6,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,X8)))),X0)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X7,X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f147,plain,
( spl0_26
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f76,f65,f60,f145]) ).
fof(f65,plain,
( spl0_10
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f76,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) )
| ~ spl0_9
| ~ spl0_10 ),
inference(resolution,[],[f66,f61]) ).
fof(f66,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f140,plain,
( spl0_25
| spl0_3
| ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f113,f109,f46,f27,f32,f138]) ).
fof(f109,plain,
( spl0_20
<=> ! [X3,X10,X0,X11,X8,X16,X14,X4,X17,X15,X5,X12,X13] :
( X5 = X12
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X14),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X15,X16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X17),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f113,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| v_B = X2 )
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f110,f48]) ).
fof(f110,plain,
( ! [X3,X10,X0,X11,X8,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ c_in(c_Event_Oevent_OSays(X15,X16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X17),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X14),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| X5 = X12 )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f136,plain,
( spl0_24
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f127,f104,f69,f133]) ).
fof(f127,plain,
( c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_11
| ~ spl0_19 ),
inference(resolution,[],[f106,f70]) ).
fof(f131,plain,
( spl0_23
| spl0_3
| ~ spl0_2
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f112,f100,f46,f27,f32,f129]) ).
fof(f100,plain,
( spl0_18
<=> ! [X3,X10,X0,X11,X8,X16,X14,X4,X17,X15,X5,X12,X13] :
( X14 = X17
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X14),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X15,X16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X17),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f112,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| v_NA = X4 )
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f101,f48]) ).
fof(f101,plain,
( ! [X3,X10,X0,X11,X8,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ c_in(c_Event_Oevent_OSays(X15,X16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X17),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X14),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| X14 = X17 )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f123,plain,
spl0_22,
inference(avatar_split_clause,[],[f13,f121]) ).
fof(f13,axiom,
! [X3,X8,X9,X7,X4,X5] :
( c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X9),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X8,c_Message_Omsg_OKey(X9)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X9),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X9))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSpy__not__see__encrypted__key_0) ).
fof(f117,plain,
spl0_21,
inference(avatar_split_clause,[],[f10,f115]) ).
fof(f10,axiom,
! [X3,X8,X9,X7,X4,X5] :
( c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X9),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X9),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X9))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OA__trusts__YM3_0) ).
fof(f111,plain,
spl0_20,
inference(avatar_split_clause,[],[f12,f109]) ).
fof(f12,axiom,
! [X3,X10,X0,X11,X8,X16,X14,X4,X17,X15,X5,X12,X13] :
( X5 = X12
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X14),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X15,X16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X17),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_2) ).
fof(f107,plain,
( ~ spl0_2
| spl0_19
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f94,f87,f51,f104,f27]) ).
fof(f51,plain,
( spl0_7
<=> 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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f94,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_NAa),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))
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f88,f53]) ).
fof(f53,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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f102,plain,
spl0_18,
inference(avatar_split_clause,[],[f11,f100]) ).
fof(f11,axiom,
! [X3,X10,X0,X11,X8,X16,X14,X4,X17,X15,X5,X12,X13] :
( X14 = X17
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X14),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X15,X16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X17),X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).
fof(f98,plain,
spl0_17,
inference(avatar_split_clause,[],[f8,f96]) ).
fof(f8,axiom,
! [X3,X0,X8,X6,X7,X4,X5] :
( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X7,X8))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,X8)))),X0)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
fof(f93,plain,
spl0_16,
inference(avatar_split_clause,[],[f9,f91]) ).
fof(f9,axiom,
! [X2,X3,X0] :
( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),X0),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Oanalz__shrK__Decrypt_0) ).
fof(f89,plain,
spl0_15,
inference(avatar_split_clause,[],[f7,f87]) ).
fof(f7,axiom,
! [X0,X4,X5] :
( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X5,X0),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f85,plain,
spl0_14,
inference(avatar_split_clause,[],[f6,f83]) ).
fof(f6,axiom,
! [X3,X4] :
( ~ c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSpy__analz__shrK_1) ).
fof(f81,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f63,f60,f56,f79]) ).
fof(f63,plain,
( ! [X0,X1] :
( c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg) )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f61,f57]) ).
fof(f75,plain,
spl0_12,
inference(avatar_split_clause,[],[f5,f73]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f71,plain,
spl0_11,
inference(avatar_split_clause,[],[f4,f69]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f67,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f65]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f62,plain,
spl0_9,
inference(avatar_split_clause,[],[f2,f60]) ).
fof(f2,axiom,
! [X2,X0] :
( ~ c_in(X0,X2,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f58,plain,
spl0_8,
inference(avatar_split_clause,[],[f3,f56]) ).
fof(f3,axiom,
! [X2] : c_Message_Oparts(X2) = c_Message_Oparts(c_Message_Oanalz(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f54,plain,
spl0_7,
inference(avatar_split_clause,[],[f16,f51]) ).
fof(f16,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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f49,plain,
spl0_6,
inference(avatar_split_clause,[],[f18,f46]) ).
fof(f18,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_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f44,plain,
spl0_5,
inference(avatar_split_clause,[],[f17,f42]) ).
fof(f17,axiom,
! [X18] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X18))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f40,plain,
spl0_4,
inference(avatar_split_clause,[],[f20,f37]) ).
fof(f20,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
fof(f35,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f19,f32]) ).
fof(f19,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f30,plain,
spl0_2,
inference(avatar_split_clause,[],[f15,f27]) ).
fof(f15,axiom,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f25,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f14,f22]) ).
fof(f14,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV348-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.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 : Tue Apr 30 05:17:49 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (16517)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (16520)WARNING: value z3 for option sas not known
% 0.15/0.37 % (16521)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (16518)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (16519)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (16522)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.37 % (16520)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (16523)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37 % (16524)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (16522)First to succeed.
% 0.15/0.39 TRYING [2]
% 0.15/0.40 % (16522)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (16522)------------------------------
% 0.15/0.40 % (16522)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (16522)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (16522)Memory used [KB]: 1028
% 0.15/0.40 % (16522)Time elapsed: 0.023 s
% 0.15/0.40 % (16522)Instructions burned: 35 (million)
% 0.15/0.40 % (16522)------------------------------
% 0.15/0.40 % (16522)------------------------------
% 0.15/0.40 % (16517)Success in time 0.029 s
%------------------------------------------------------------------------------