%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV749-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:24 PM UTC 2026
% Result : Unsatisfiable 4.49s 1.37s
% Output : Refutation 5.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 70 ( 20 unt; 7 def)
% Number of atoms : 153 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 156 ( 73 ~; 76 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 20 con; 0-3 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f678,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
fof(f688,axiom,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
fof(f693,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
fof(f694,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
fof(f716,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
fof(f719,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
fof(f748,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
fof(f762,negated_conjecture,
~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f763,negated_conjecture,
hBOOL(c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f766,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f772,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f773,negated_conjecture,
! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f774,negated_conjecture,
hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f775,negated_conjecture,
( v_K = v_Ka
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
fof(f776,plain,
( v_Ka = v_K
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
inference(reorient_equations,[],[f775]) ).
fof(f777,negated_conjecture,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).
fof(f812,definition,
( spl0_1
<=> hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f813,plain,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f816,definition,
( spl0_2
<=> hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f818,plain,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f820,definition,
( spl0_3
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f822,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
| spl0_3 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f823,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f777,f820,f816,f812]) ).
fof(f825,definition,
( spl0_4
<=> hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f826,plain,
( hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f829,definition,
( spl0_5
<=> v_Ka = v_K ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f831,plain,
( v_Ka = v_K
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f832,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f776,f829,f825]) ).
fof(f833,plain,
spl0_4,
inference(avatar_split_clause,[],[f774,f825]) ).
fof(f834,plain,
spl0_1,
inference(avatar_split_clause,[],[f772,f812]) ).
fof(f877,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))
| v_B = X2 )
| ~ spl0_1 ),
inference(resolution,[],[f813,f719]) ).
fof(f888,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))
| v_B = X2 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f877,f763]) ).
fof(f901,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
inference(resolution,[],[f766,f678]) ).
fof(f904,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
inference(resolution,[],[f766,f716]) ).
fof(f908,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f904,f831]) ).
fof(f911,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f901,f831]) ).
fof(f1019,plain,
( ! [X2,X3,X0,X1] :
( v_B = X0
| ~ hBOOL(c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)) )
| ~ spl0_1 ),
inference(resolution,[],[f888,f688]) ).
fof(f1022,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| v_B = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1019,f763]) ).
fof(f1079,plain,
( ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
| ~ spl0_5 ),
inference(resolution,[],[f908,f748]) ).
fof(f1087,definition,
( spl0_23
<=> hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f1089,plain,
( hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1096,definition,
( spl0_25
<=> hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f1098,plain,
( ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| spl0_25 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1099,plain,
( spl0_23
| ~ spl0_25
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1079,f829,f1096,f1087]) ).
fof(f1208,plain,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| v_B = v_Ba
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f1022,f911]) ).
fof(f1214,plain,
( v_B = v_Ba
| ~ spl0_1
| ~ spl0_5
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f1208,f1098]) ).
fof(f1215,plain,
( ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_1
| ~ spl0_5
| spl0_25 ),
inference(superposition,[],[f762,f1214]) ).
fof(f1237,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f1215,f826]) ).
fof(f1238,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1246,plain,
( hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
| ~ spl0_23 ),
inference(resolution,[],[f1089,f693]) ).
fof(f1293,plain,
( hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
| ~ spl0_23 ),
inference(resolution,[],[f1246,f693]) ).
fof(f1352,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
| ~ spl0_23 ),
inference(resolution,[],[f1293,f694]) ).
fof(f1354,plain,
( $false
| spl0_3
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1352,f822]) ).
fof(f1355,plain,
( spl0_3
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1354]) ).
fof(f1356,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f818,f773]) ).
fof(f1357,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1356]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f823]) ).
cnf(s2,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f832]) ).
cnf(s3,plain,
spl0_4,
inference(sat_conversion,[],[f833]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f834]) ).
cnf(s16,plain,
( ~ spl0_5
| spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s20,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_25 ),
inference(sat_conversion,[],[f1238]) ).
cnf(s23,plain,
( spl0_3
| ~ spl0_23 ),
inference(sat_conversion,[],[f1355]) ).
cnf(s24,plain,
~ spl0_2,
inference(sat_conversion,[],[f1357]) ).
cnf(s25,plain,
spl0_5,
inference(rat,[],[s2,s3]) ).
cnf(s26,plain,
spl0_25,
inference(rat,[],[s20,s3,s4,s25]) ).
cnf(s28,plain,
spl0_23,
inference(rat,[],[s16,s25,s26]) ).
cnf(s29,plain,
spl0_3,
inference(rat,[],[s23,s28]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s1,s29,s24,s4]) ).
fof(f1358,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV749-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n015.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 12:29:02 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.49/1.37 % (2593099)Input is clausal, will run a generic CNF schedule.
% 4.49/1.37 % (2593110)dis-21_1_sil=8000:lcm=predicate:random_seed=58301071:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.49/1.37 % (2593110)Instruction limit reached!
% 4.49/1.37 % (2593110)------------------------------
% 4.49/1.37 % (2593110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.37 % (2593110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.37 % (2593110)CaDiCaL version: 2.1.3
% 4.49/1.37 % (2593110)Termination reason: Instruction limit
% 4.49/1.37 % (2593110)Termination phase: Saturation
% 4.49/1.37 % (2593110)Time elapsed: 0.039 s
% 4.49/1.37 % (2593110)Peak memory usage: 89 MB
% 4.49/1.37 % (2593110)Instructions burned: 120 (million)
% 4.49/1.37 % (2593109)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1694994570:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.49/1.37 % (2593105)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3010366877:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.49/1.37 % (2593107)lrs+10_1_sil=8000:sp=occurrence:random_seed=1575740517:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.49/1.37 % (2593108)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=870557278:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.49/1.37 % (2593106)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=510429227:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.49/1.37 % (2593104)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2296071688:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.49/1.37 % (2593107)Instruction limit reached!
% 4.49/1.37 % (2593107)------------------------------
% 4.49/1.37 % (2593107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.37 % (2593107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.37 % (2593107)CaDiCaL version: 2.1.3
% 4.49/1.37 % (2593107)Termination reason: Instruction limit
% 4.49/1.37 % (2593107)Termination phase: Saturation
% 4.49/1.37 % (2593107)Time elapsed: 0.072 s
% 4.49/1.37 % (2593107)Peak memory usage: 89 MB
% 4.49/1.37 % (2593107)Instructions burned: 108 (million)
% 4.49/1.37 % (2593108)Instruction limit reached!
% 4.49/1.37 % (2593108)------------------------------
% 4.49/1.37 % (2593108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.37 % (2593108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.37 % (2593108)CaDiCaL version: 2.1.3
% 4.49/1.37 % (2593108)Termination reason: Instruction limit
% 4.49/1.37 % (2593108)Termination phase: Saturation
% 4.49/1.37 % (2593108)Time elapsed: 0.076 s
% 4.49/1.37 % (2593108)Peak memory usage: 89 MB
% 4.49/1.37 % (2593108)Instructions burned: 114 (million)
% 4.49/1.37 % (2593112)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2799792182:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.49/1.37 % (2593109)Instruction limit reached!
% 4.49/1.37 % (2593109)------------------------------
% 4.49/1.37 % (2593109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.37 % (2593109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.37 % (2593109)CaDiCaL version: 2.1.3
% 4.49/1.37 % (2593109)Termination reason: Instruction limit
% 4.49/1.37 % (2593109)Termination phase: Saturation
% 4.49/1.37 % (2593109)Time elapsed: 0.118 s
% 4.49/1.37 % (2593109)Peak memory usage: 90 MB
% 4.49/1.37 % (2593109)Instructions burned: 181 (million)
% 4.49/1.37 % (2593112)Instruction limit reached!
% 4.49/1.37 % (2593112)------------------------------
% 4.49/1.37 % (2593112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.37 % (2593112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.37 % (2593112)CaDiCaL version: 2.1.3
% 4.49/1.37 % (2593112)Termination reason: Instruction limit
% 4.49/1.37 % (2593112)Termination phase: Saturation
% 4.49/1.37 % (2593112)Time elapsed: 0.048 s
% 4.49/1.37 % (2593112)Peak memory usage: 90 MB
% 4.49/1.37 % (2593112)Instructions burned: 144 (million)
% 4.49/1.37 % (2593119)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2114802108:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.49/1.37 % (2593120)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3718849132:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.49/1.37 % (2593123)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=97098911:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.49/1.37 % (2593122)lrs+10_64_to=lpo:sil=8000:random_seed=3742855479:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.49/1.37 % (2593120)First to succeed.
% 4.49/1.37 % (2593120)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2593099"
% 4.49/1.37 % (2593123)Instruction limit reached!
% 4.49/1.37 % (2593123)------------------------------
% 4.49/1.37 % (2593123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.37 % (2593123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.37 % (2593123)CaDiCaL version: 2.1.3
% 4.49/1.37 % (2593123)Termination reason: Instruction limit
% 4.49/1.37 % (2593123)Termination phase: Saturation
% 4.49/1.37 % (2593123)Time elapsed: 0.065 s
% 4.49/1.37 % (2593123)Peak memory usage: 91 MB
% 4.49/1.37 % (2593123)Instructions burned: 197 (million)
% 4.49/1.37 % (2593119)Instruction limit reached!
% 4.49/1.37 % (2593119)------------------------------
% 4.49/1.37 % (2593119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.37 % (2593119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.37 % (2593119)CaDiCaL version: 2.1.3
% 4.49/1.37 % (2593119)Termination reason: Instruction limit
% 4.49/1.37 % (2593119)Termination phase: Saturation
% 4.49/1.37 % (2593119)Time elapsed: 0.107 s
% 4.49/1.37 % (2593119)Peak memory usage: 91 MB
% 4.49/1.37 % (2593119)Instructions burned: 190 (million)
% 4.49/1.37 % (2593122)Instruction limit reached!
% 4.49/1.37 % (2593122)------------------------------
% 4.49/1.37 % (2593122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.37 % (2593122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.37 % (2593122)CaDiCaL version: 2.1.3
% 4.49/1.37 % (2593122)Termination reason: Instruction limit
% 4.49/1.37 % (2593122)Termination phase: Saturation
% 4.49/1.37 % (2593122)Time elapsed: 0.080 s
% 4.49/1.37 % (2593122)Peak memory usage: 90 MB
% 4.49/1.37 % (2593122)Instructions burned: 126 (million)
% 4.49/1.37 % (2593128)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2875227714:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.49/1.37 % (2593128)Instruction limit reached!
% 4.49/1.37 % (2593128)------------------------------
% 4.49/1.37 % (2593128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.37 % (2593128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.37 % (2593128)CaDiCaL version: 2.1.3
% 4.49/1.37 % (2593128)Termination reason: Instruction limit
% 4.49/1.37 % (2593128)Termination phase: Saturation
% 4.49/1.37 % (2593128)Time elapsed: 0.055 s
% 4.49/1.37 % (2593128)Peak memory usage: 91 MB
% 4.49/1.37 % (2593128)Instructions burned: 157 (million)
% 4.49/1.37 % (2593129)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2822992898:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.49/1.37 % (2593130)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3328237618:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.49/1.37 % (2593132)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3817602128:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 4.49/1.37 % (2593120)Refutation found. Thanks to Tanya!
% 4.49/1.37 % SZS status Unsatisfiable for theBenchmark
% 4.49/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 5.32/1.46 % (2593120)------------------------------
% 5.32/1.46 % (2593120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.46 % (2593120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.46 % (2593120)CaDiCaL version: 2.1.3
% 5.32/1.46 % (2593120)Termination reason: Refutation
% 5.32/1.46 % (2593120)Time elapsed: 0.051 s
% 5.32/1.46 % (2593120)Peak memory usage: 90 MB
% 5.32/1.46 % (2593120)Instructions burned: 83 (million)
% 5.32/1.46 % (2593120)------------------------------
% 5.32/1.46 % (2593120)------------------------------
% 5.32/1.46 % (2593099)Success in time 0.701 s
% 5.32/1.46 % Vampire exiting
%------------------------------------------------------------------------------