TSTP Solution File: SWV352-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV352-2 : 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 : n006.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 16:45:41 EDT 2024
% Result : Unsatisfiable 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 50
% Syntax : Number of formulae : 141 ( 17 unt; 0 def)
% Number of atoms : 395 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 473 ( 219 ~; 215 |; 0 &)
% ( 39 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 42 ( 40 usr; 40 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-3 aty)
% Number of variables : 184 ( 184 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f225,plain,
$false,
inference(avatar_sat_refutation,[],[f16,f21,f26,f31,f35,f39,f44,f48,f54,f60,f64,f68,f75,f80,f85,f90,f97,f103,f108,f115,f122,f131,f136,f141,f148,f153,f158,f165,f170,f178,f183,f194,f199,f204,f209,f217,f221,f224]) ).
fof(f224,plain,
( ~ spl0_19
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f222,plain,
( $false
| ~ spl0_19
| ~ spl0_39 ),
inference(resolution,[],[f220,f107]) ).
fof(f107,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_19
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f220,plain,
( ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl0_39
<=> ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f221,plain,
( ~ spl0_1
| spl0_39
| spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f142,f138,f66,f18,f219,f13]) ).
fof(f13,plain,
( spl0_1
<=> c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f18,plain,
( spl0_2
<=> c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f66,plain,
( spl0_12
<=> ! [X1,X10,X11,X0,X12,X9,X3,X7] :
( ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X9),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X9)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X12))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f138,plain,
( spl0_24
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f142,plain,
( ! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_12
| ~ spl0_24 ),
inference(resolution,[],[f140,f67]) ).
fof(f67,plain,
( ! [X3,X10,X0,X11,X1,X9,X7,X12] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X12))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X9),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X9)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f140,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f217,plain,
( spl0_37
| ~ spl0_1
| spl0_38
| ~ spl0_17
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f143,f138,f95,f214,f13,f211]) ).
fof(f211,plain,
( spl0_37
<=> ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f214,plain,
( spl0_38
<=> c_in(c_Message_Omsg_ONonce(v_NBa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f95,plain,
( spl0_17
<=> ! [X2,X6,X4,X0,X3,X5,X1,X7] :
( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(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(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),X7))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f143,plain,
( ! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(v_NBa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg) )
| ~ spl0_17
| ~ spl0_24 ),
inference(resolution,[],[f140,f96]) ).
fof(f96,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(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_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),X7))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f209,plain,
( spl0_36
| ~ spl0_27
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f187,f181,f155,f206]) ).
fof(f206,plain,
( spl0_36
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f155,plain,
( spl0_27
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f181,plain,
( spl0_32
<=> ! [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(X2,X0),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f187,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))))),tc_Message_Omsg)
| ~ spl0_27
| ~ spl0_32 ),
inference(resolution,[],[f182,f157]) ).
fof(f157,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f182,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1))),tc_Message_Omsg) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f204,plain,
( spl0_35
| ~ spl0_13
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f184,f181,f72,f201]) ).
fof(f201,plain,
( spl0_35
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f72,plain,
( spl0_13
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f184,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)))),tc_Message_Omsg)
| ~ spl0_13
| ~ spl0_32 ),
inference(resolution,[],[f182,f74]) ).
fof(f74,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f199,plain,
( spl0_34
| ~ spl0_14
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f185,f181,f77,f196]) ).
fof(f196,plain,
( spl0_34
<=> c_in(v_X,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f77,plain,
( spl0_14
<=> 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_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f185,plain,
( c_in(v_X,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)))),tc_Message_Omsg)
| ~ spl0_14
| ~ spl0_32 ),
inference(resolution,[],[f182,f79]) ).
fof(f79,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_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f194,plain,
( spl0_33
| ~ spl0_7
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f179,f175,f42,f191]) ).
fof(f191,plain,
( spl0_33
<=> c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f42,plain,
( spl0_7
<=> ! [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_7])]) ).
fof(f175,plain,
( spl0_31
<=> c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f179,plain,
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_7
| ~ spl0_31 ),
inference(resolution,[],[f177,f43]) ).
fof(f43,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f177,plain,
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f183,plain,
( spl0_32
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f126,f120,f37,f181]) ).
fof(f37,plain,
( spl0_6
<=> ! [X2,X5] :
( ~ c_in(X2,X5,tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f120,plain,
( spl0_21
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f126,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(X2,X0),X1,tc_Message_Omsg) )
| ~ spl0_6
| ~ spl0_21 ),
inference(resolution,[],[f121,f38]) ).
fof(f38,plain,
( ! [X2,X5] :
( c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg)
| ~ c_in(X2,X5,tc_Message_Omsg) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f121,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f178,plain,
( ~ spl0_1
| spl0_30
| spl0_31
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f109,f105,f66,f175,f172,f13]) ).
fof(f172,plain,
( spl0_30
<=> ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(v_NA)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f109,plain,
( ! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(v_NA)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_12
| ~ spl0_19 ),
inference(resolution,[],[f107,f67]) ).
fof(f170,plain,
( spl0_29
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f160,f155,f120,f167]) ).
fof(f167,plain,
( spl0_29
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f160,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)))),tc_Message_Omsg)
| ~ spl0_21
| ~ spl0_27 ),
inference(resolution,[],[f157,f121]) ).
fof(f165,plain,
( spl0_28
| ~ spl0_1
| spl0_2
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f110,f105,f95,f18,f13,f163]) ).
fof(f163,plain,
( spl0_28
<=> ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f110,plain,
( ! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg) )
| ~ spl0_17
| ~ spl0_19 ),
inference(resolution,[],[f107,f96]) ).
fof(f158,plain,
( spl0_27
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f117,f112,f42,f155]) ).
fof(f112,plain,
( spl0_20
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f117,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_7
| ~ spl0_20 ),
inference(resolution,[],[f114,f43]) ).
fof(f114,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f153,plain,
( spl0_26
| ~ spl0_5
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f127,f120,f112,f33,f150]) ).
fof(f150,plain,
( spl0_26
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f33,plain,
( spl0_5
<=> ! [X5] : c_Message_Oparts(X5) = c_Message_Oparts(c_Message_Oanalz(X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f127,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg)
| ~ spl0_5
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f125,f34]) ).
fof(f34,plain,
( ! [X5] : c_Message_Oparts(X5) = c_Message_Oparts(c_Message_Oanalz(X5))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f125,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)))),tc_Message_Omsg)
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f121,f114]) ).
fof(f148,plain,
( spl0_25
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f123,f120,f72,f145]) ).
fof(f145,plain,
( spl0_25
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f123,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg)
| ~ spl0_13
| ~ spl0_21 ),
inference(resolution,[],[f121,f74]) ).
fof(f141,plain,
( spl0_24
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f118,f112,f88,f33,f138]) ).
fof(f88,plain,
( spl0_16
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f118,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f116,f34]) ).
fof(f116,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg)
| ~ spl0_16
| ~ spl0_20 ),
inference(resolution,[],[f114,f89]) ).
fof(f89,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f136,plain,
( spl0_23
| ~ spl0_14
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f124,f120,f77,f133]) ).
fof(f133,plain,
( spl0_23
<=> c_in(v_X,c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f124,plain,
( c_in(v_X,c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg)
| ~ spl0_14
| ~ spl0_21 ),
inference(resolution,[],[f121,f79]) ).
fof(f131,plain,
( spl0_22
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f98,f95,f37,f129]) ).
fof(f129,plain,
( spl0_22
<=> ! [X2,X6,X4,X0,X3,X5,X1,X7] :
( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(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_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),X4))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X0)))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f98,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(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_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),X4))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X0)))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) )
| ~ spl0_6
| ~ spl0_17 ),
inference(resolution,[],[f96,f38]) ).
fof(f122,plain,
( spl0_21
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f93,f88,f37,f120]) ).
fof(f93,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) )
| ~ spl0_6
| ~ spl0_16 ),
inference(resolution,[],[f89,f38]) ).
fof(f115,plain,
( ~ spl0_1
| spl0_20
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f86,f82,f58,f112,f13]) ).
fof(f58,plain,
( spl0_10
<=> ! [X2,X1,X3] :
( ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f82,plain,
( spl0_15
<=> c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f86,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_10
| ~ spl0_15 ),
inference(resolution,[],[f84,f59]) ).
fof(f59,plain,
( ! [X2,X3,X1] :
( ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f84,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f108,plain,
( spl0_19
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f91,f88,f72,f105]) ).
fof(f91,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f89,f74]) ).
fof(f103,plain,
( spl0_18
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f92,f88,f77,f100]) ).
fof(f100,plain,
( spl0_18
<=> c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f92,plain,
( c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_14
| ~ spl0_16 ),
inference(resolution,[],[f89,f79]) ).
fof(f97,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f70,f66,f37,f95]) ).
fof(f70,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(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(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),X7))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) )
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f67,f38]) ).
fof(f90,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f49,f46,f37,f88]) ).
fof(f46,plain,
( spl0_8
<=> ! [X4,X5,X2] :
( c_in(X4,c_Message_Oparts(X5),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oparts(X5),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f49,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) )
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f47,f38]) ).
fof(f47,plain,
( ! [X2,X4,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oparts(X5),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X5),tc_Message_Omsg) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f85,plain,
( ~ spl0_1
| spl0_15
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f69,f62,f28,f82,f13]) ).
fof(f28,plain,
( spl0_4
<=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f62,plain,
( spl0_11
<=> ! [X1,X6,X2,X0,X3,X8,X7] :
( ~ c_in(X3,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(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X7,X8))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,X8)))),X2)),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f69,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f63,f30]) ).
fof(f30,plain,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f63,plain,
( ! [X2,X3,X0,X1,X8,X6,X7] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,X8)))),X2)),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X7,X8))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f80,plain,
( spl0_14
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f56,f52,f28,f77]) ).
fof(f52,plain,
( spl0_9
<=> ! [X2,X0,X1,X3] :
( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f56,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_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f53,f30]) ).
fof(f53,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f75,plain,
( spl0_13
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f55,f52,f23,f72]) ).
fof(f23,plain,
( spl0_3
<=> 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_evso,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f55,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f53,f25]) ).
fof(f25,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_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f68,plain,
spl0_12,
inference(avatar_split_clause,[],[f11,f66]) ).
fof(f11,axiom,
! [X3,X10,X0,X11,X1,X9,X7,X12] :
( ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X9),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X9)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X12))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ono__nonce__YM1__YM2_0) ).
fof(f64,plain,
spl0_11,
inference(avatar_split_clause,[],[f10,f62]) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X8,X6,X7] :
( ~ c_in(X3,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(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X7,X8))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,X8)))),X2)),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
fof(f60,plain,
spl0_10,
inference(avatar_split_clause,[],[f9,f58]) ).
fof(f9,axiom,
! [X2,X3,X1] :
( ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f54,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f52]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__spies_0) ).
fof(f48,plain,
spl0_8,
inference(avatar_split_clause,[],[f6,f46]) ).
fof(f6,axiom,
! [X2,X4,X5] :
( c_in(X4,c_Message_Oparts(X5),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oparts(X5),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f44,plain,
( spl0_7
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f40,f37,f33,f42]) ).
fof(f40,plain,
( ! [X0,X1] :
( c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg) )
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f38,f34]) ).
fof(f39,plain,
spl0_6,
inference(avatar_split_clause,[],[f7,f37]) ).
fof(f7,axiom,
! [X2,X5] :
( ~ c_in(X2,X5,tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f35,plain,
spl0_5,
inference(avatar_split_clause,[],[f8,f33]) ).
fof(f8,axiom,
! [X5] : c_Message_Oparts(X5) = c_Message_Oparts(c_Message_Oanalz(X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f31,plain,
spl0_4,
inference(avatar_split_clause,[],[f2,f28]) ).
fof(f2,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f26,plain,
spl0_3,
inference(avatar_split_clause,[],[f3,f23]) ).
fof(f3,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_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f21,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f4,f18]) ).
fof(f4,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f16,plain,
spl0_1,
inference(avatar_split_clause,[],[f1,f13]) ).
fof(f1,axiom,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV352-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:43:50 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (8185)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (8186)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (8188)WARNING: value z3 for option sas not known
% 0.14/0.39 % (8187)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (8189)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (8192)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)
% 0.14/0.39 % (8191)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)
% 0.14/0.39 % (8190)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)
% 0.14/0.39 % (8188)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)
% 0.21/0.40 % (8190)First to succeed.
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.41 % (8188)Also succeeded, but the first one will report.
% 0.21/0.41 % (8190)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (8190)------------------------------
% 0.21/0.41 % (8190)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41 % (8190)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (8190)Memory used [KB]: 948
% 0.21/0.41 % (8190)Time elapsed: 0.018 s
% 0.21/0.41 % (8190)Instructions burned: 15 (million)
% 0.21/0.41 % (8190)------------------------------
% 0.21/0.41 % (8190)------------------------------
% 0.21/0.41 % (8185)Success in time 0.045 s
%------------------------------------------------------------------------------