%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV332-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:08:53 PM UTC 2026
% Result : Unsatisfiable 12.58s 2.53s
% Output : Refutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 70 ( 15 unt; 4 def)
% Number of atoms : 193 ( 32 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 210 ( 87 ~; 119 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 16 con; 0-4 aty)
% Number of variables : 154 ( 0 sgn 154 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3444,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f3445,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f3465,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
fof(f3561,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f3566,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(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_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),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(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(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OA__trusts__YM3_0) ).
fof(f3580,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OCrypt__Spy__analz__bad_0) ).
fof(f3582,axiom,
! [X2,X3,X0,X1] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(X2,X1,X3,X0)),c_Message_Omsg_ONonce(v_sko__2jj(X2,X1,X3,X0)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X3))))),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_OKey(X3))),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(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OB__trusts__YM4__shrK_0) ).
fof(f3583,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(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)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| X7 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys_0) ).
fof(f3584,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(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)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X1 = X7 ),
inference(reorient_equations,[],[f3583]) ).
fof(f3585,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(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)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| X8 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys_1) ).
fof(f3586,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(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)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X2 = X8 ),
inference(reorient_equations,[],[f3585]) ).
fof(f3591,negated_conjecture,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3595,negated_conjecture,
! [X0] :
( X0 != v_X
| v_B != v_Ba
| v_A != v_Aa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
fof(f3596,plain,
! [X0] :
( v_X != X0
| v_B != v_Ba
| v_Aa != v_A ),
inference(reorient_equations,[],[f3595]) ).
fof(f3598,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3601,negated_conjecture,
~ 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_6) ).
fof(f3603,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f3604,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f3787,plain,
( v_B != v_Ba
| v_Aa != v_A ),
inference(equality_resolution,[],[f3596]) ).
fof(f3846,definition,
( spl0_1
<=> v_Aa = v_A ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3848,plain,
( v_Aa != v_A
| spl0_1 ),
inference(avatar_component_clause,[],[f3846]) ).
fof(f3850,definition,
( spl0_2
<=> v_B = v_Ba ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3852,plain,
( v_B != v_Ba
| spl0_2 ),
inference(avatar_component_clause,[],[f3850]) ).
fof(f3853,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3787,f3850,f3846]) ).
fof(f3874,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolution,[],[f3598,f3561]) ).
fof(f3875,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f3874,f3591]) ).
fof(f3880,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[],[f3445,f3875]) ).
fof(f3881,plain,
( ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolution,[],[f3880,f3580]) ).
fof(f3883,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[],[f3880,f3465]) ).
fof(f3886,definition,
( spl0_3
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f3888,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f3886]) ).
fof(f3890,definition,
( spl0_4
<=> c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f3892,plain,
( ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| spl0_4 ),
inference(avatar_component_clause,[],[f3890]) ).
fof(f3893,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f3881,f3890,f3886]) ).
fof(f3934,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ 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(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X0 = X7
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| c_in(X8,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[],[f3584,f3582]) ).
fof(f3935,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ 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(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X0 = X7
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| c_in(X8,c_Event_Obad,tc_Message_Oagent) ),
inference(duplicate_literal_removal,[],[f3934]) ).
fof(f3937,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X1 = X2
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X6,X7)))),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(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[],[f3935,f3566]) ).
fof(f3940,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X6,X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| X1 = X2
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(duplicate_literal_removal,[],[f3937]) ).
fof(f3945,plain,
! [X0,X1] :
( v_Aa = X0
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[],[f3940,f3883]) ).
fof(f3946,plain,
! [X0,X1] :
( v_Aa = X0
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_subsumption_resolution,[],[f3945,f3591]) ).
fof(f3947,plain,
( ! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| v_Aa = X0
| c_in(X1,c_Event_Obad,tc_Message_Oagent) )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f3946,f3892]) ).
fof(f3948,plain,
( v_Aa = v_A
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| spl0_4 ),
inference(resolution,[],[f3947,f3603]) ).
fof(f3949,plain,
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f3948,f3848]) ).
fof(f3950,plain,
( $false
| spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f3949,f3604]) ).
fof(f3951,plain,
( spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f3950]) ).
fof(f3953,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f3888,f3444]) ).
fof(f3955,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_3 ),
inference(resolution,[],[f3953,f3445]) ).
fof(f3958,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f3955,f3601]) ).
fof(f3959,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f3958]) ).
fof(f3987,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ 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(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X1 = X7
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| c_in(X7,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[],[f3586,f3582]) ).
fof(f3988,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ 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(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X1 = X7
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| c_in(X7,c_Event_Obad,tc_Message_Oagent) ),
inference(duplicate_literal_removal,[],[f3987]) ).
fof(f3990,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X1 = X2
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X6,X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[],[f3988,f3566]) ).
fof(f3993,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X6,X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| X1 = X2
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X5,c_Event_Obad,tc_Message_Oagent) ),
inference(duplicate_literal_removal,[],[f3990]) ).
fof(f4002,plain,
! [X0,X1] :
( v_Ba = X0
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[],[f3993,f3883]) ).
fof(f4003,plain,
! [X0,X1] :
( v_Ba = X0
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_subsumption_resolution,[],[f4002,f3591]) ).
fof(f4004,plain,
( ! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| v_Ba = X0
| c_in(X0,c_Event_Obad,tc_Message_Oagent) )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f4003,f3892]) ).
fof(f4005,plain,
( v_B = v_Ba
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| spl0_4 ),
inference(resolution,[],[f4004,f3603]) ).
fof(f4008,plain,
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| spl0_2
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f4005,f3852]) ).
fof(f4011,plain,
( $false
| spl0_2
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f4008,f3604]) ).
fof(f4012,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f4011]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3853]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f3893]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f3951]) ).
cnf(s4,plain,
~ spl0_3,
inference(sat_conversion,[],[f3959]) ).
cnf(s6,plain,
( spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f4012]) ).
cnf(s7,plain,
~ spl0_4,
inference(rat,[],[s2,s4]) ).
cnf(s8,plain,
spl0_2,
inference(rat,[],[s6,s7]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s3,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s8,s9]) ).
fof(f4013,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV332-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 10:38:34 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 10.56/2.22 % (3918184)Input is clausal, will run a generic CNF schedule.
% 10.56/2.22 % (3918189)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=4258743153:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.56/2.22 % (3918193)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2330846026:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.56/2.22 % (3918191)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3644306379:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.56/2.22 % (3918192)lrs+10_1_sil=8000:sp=occurrence:random_seed=3811179888:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.56/2.22 % (3918190)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=835017916:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.56/2.22 % (3918194)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2715789597:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.56/2.22 % (3918195)dis-21_1_sil=8000:lcm=predicate:random_seed=2746421000: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)
% 10.56/2.22 % (3918193)Instruction limit reached!
% 10.56/2.22 % (3918193)------------------------------
% 10.56/2.22 % (3918193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.22 % (3918193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.22 % (3918193)CaDiCaL version: 2.1.3
% 10.56/2.22 % (3918193)Termination reason: Instruction limit
% 10.56/2.22 % (3918193)Termination phase: Saturation
% 10.56/2.22 % (3918193)Time elapsed: 0.069 s
% 10.56/2.22 % (3918193)Peak memory usage: 91 MB
% 10.56/2.22 % (3918193)Instructions burned: 114 (million)
% 10.56/2.22 % (3918192)Instruction limit reached!
% 10.56/2.22 % (3918192)------------------------------
% 10.56/2.22 % (3918192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.22 % (3918192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.22 % (3918192)CaDiCaL version: 2.1.3
% 10.56/2.22 % (3918192)Termination reason: Instruction limit
% 10.56/2.22 % (3918192)Termination phase: Saturation
% 10.56/2.22 % (3918192)Time elapsed: 0.071 s
% 10.56/2.22 % (3918192)Peak memory usage: 91 MB
% 10.56/2.22 % (3918192)Instructions burned: 108 (million)
% 10.56/2.22 % (3918195)Instruction limit reached!
% 10.56/2.22 % (3918195)------------------------------
% 10.56/2.22 % (3918195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.22 % (3918195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.22 % (3918195)CaDiCaL version: 2.1.3
% 10.56/2.22 % (3918195)Termination reason: Instruction limit
% 10.56/2.22 % (3918195)Termination phase: Saturation
% 10.56/2.22 % (3918195)Time elapsed: 0.063 s
% 10.56/2.22 % (3918195)Peak memory usage: 91 MB
% 10.56/2.22 % (3918195)Instructions burned: 117 (million)
% 10.56/2.22 % (3918194)Instruction limit reached!
% 10.56/2.22 % (3918194)------------------------------
% 10.56/2.22 % (3918194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.22 % (3918194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.22 % (3918194)CaDiCaL version: 2.1.3
% 10.56/2.22 % (3918194)Termination reason: Instruction limit
% 10.56/2.22 % (3918194)Termination phase: Saturation
% 10.56/2.22 % (3918194)Time elapsed: 0.107 s
% 10.56/2.22 % (3918194)Peak memory usage: 91 MB
% 10.56/2.22 % (3918194)Instructions burned: 180 (million)
% 10.56/2.22 % (3918203)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=239046083:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.56/2.22 % (3918205)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3819507764:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 10.56/2.22 % (3918204)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3493467593: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)
% 10.56/2.22 % (3918206)lrs+10_64_to=lpo:sil=8000:random_seed=1039527324:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.56/2.22 % (3918203)Instruction limit reached!
% 12.58/2.53 % (3918203)------------------------------
% 12.58/2.53 % (3918203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918203)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918203)Termination reason: Instruction limit
% 12.58/2.53 % (3918203)Termination phase: Saturation
% 12.58/2.53 % (3918203)Time elapsed: 0.088 s
% 12.58/2.53 % (3918203)Peak memory usage: 91 MB
% 12.58/2.53 % (3918203)Instructions burned: 144 (million)
% 12.58/2.53 % (3918204)Instruction limit reached!
% 12.58/2.53 % (3918204)------------------------------
% 12.58/2.53 % (3918204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918204)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918204)Termination reason: Instruction limit
% 12.58/2.53 % (3918204)Termination phase: Saturation
% 12.58/2.53 % (3918204)Time elapsed: 0.107 s
% 12.58/2.53 % (3918204)Peak memory usage: 93 MB
% 12.58/2.53 % (3918204)Instructions burned: 190 (million)
% 12.58/2.53 % (3918205)Instruction limit reached!
% 12.58/2.53 % (3918205)------------------------------
% 12.58/2.53 % (3918205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918205)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918205)Termination reason: Instruction limit
% 12.58/2.53 % (3918205)Termination phase: Saturation
% 12.58/2.53 % (3918205)Time elapsed: 0.126 s
% 12.58/2.53 % (3918205)Peak memory usage: 93 MB
% 12.58/2.53 % (3918205)Instructions burned: 221 (million)
% 12.58/2.53 % (3918206)Instruction limit reached!
% 12.58/2.53 % (3918206)------------------------------
% 12.58/2.53 % (3918206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918206)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918206)Termination reason: Instruction limit
% 12.58/2.53 % (3918206)Termination phase: Saturation
% 12.58/2.53 % (3918206)Time elapsed: 0.071 s
% 12.58/2.53 % (3918206)Peak memory usage: 92 MB
% 12.58/2.53 % (3918206)Instructions burned: 126 (million)
% 12.58/2.53 % (3918211)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1892005007:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 12.58/2.53 % (3918212)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4209330981:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 12.58/2.53 % (3918214)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=1349763009:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 12.58/2.53 % (3918213)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=460310526:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 12.58/2.53 % (3918214)Instruction limit reached!
% 12.58/2.53 % (3918214)------------------------------
% 12.58/2.53 % (3918214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918214)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918214)Termination reason: Instruction limit
% 12.58/2.53 % (3918214)Termination phase: Saturation
% 12.58/2.53 % (3918214)Time elapsed: 0.060 s
% 12.58/2.53 % (3918214)Peak memory usage: 91 MB
% 12.58/2.53 % (3918214)Instructions burned: 106 (million)
% 12.58/2.53 % (3918212)Instruction limit reached!
% 12.58/2.53 % (3918212)------------------------------
% 12.58/2.53 % (3918212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918212)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918212)Termination reason: Instruction limit
% 12.58/2.53 % (3918212)Termination phase: Saturation
% 12.58/2.53 % (3918212)Time elapsed: 0.081 s
% 12.58/2.53 % (3918212)Peak memory usage: 92 MB
% 12.58/2.53 % (3918212)Instructions burned: 157 (million)
% 12.58/2.53 % (3918211)Instruction limit reached!
% 12.58/2.53 % (3918211)------------------------------
% 12.58/2.53 % (3918211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918211)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918211)Termination reason: Instruction limit
% 12.58/2.53 % (3918211)Termination phase: Saturation
% 12.58/2.53 % (3918211)Time elapsed: 0.111 s
% 12.58/2.53 % (3918211)Peak memory usage: 92 MB
% 12.58/2.53 % (3918211)Instructions burned: 195 (million)
% 12.58/2.53 % (3918219)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1237205699:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 12.58/2.53 % (3918221)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4285482093:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 12.58/2.53 % (3918220)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1991548051:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 12.58/2.53 % (3918219)Instruction limit reached!
% 12.58/2.53 % (3918219)------------------------------
% 12.58/2.53 % (3918219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918219)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918219)Termination reason: Instruction limit
% 12.58/2.53 % (3918219)Termination phase: Saturation
% 12.58/2.53 % (3918219)Time elapsed: 0.064 s
% 12.58/2.53 % (3918219)Peak memory usage: 92 MB
% 12.58/2.53 % (3918219)Instructions burned: 110 (million)
% 12.58/2.53 % (3918220)Instruction limit reached!
% 12.58/2.53 % (3918220)------------------------------
% 12.58/2.53 % (3918220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918220)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918220)Termination reason: Instruction limit
% 12.58/2.53 % (3918220)Termination phase: Saturation
% 12.58/2.53 % (3918220)Time elapsed: 0.133 s
% 12.58/2.53 % (3918220)Peak memory usage: 92 MB
% 12.58/2.53 % (3918220)Instructions burned: 242 (million)
% 12.58/2.53 % (3918225)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2698613802:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 12.58/2.53 % (3918225)Instruction limit reached!
% 12.58/2.53 % (3918225)------------------------------
% 12.58/2.53 % (3918225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918225)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918225)Termination reason: Instruction limit
% 12.58/2.53 % (3918225)Termination phase: Saturation
% 12.58/2.53 % (3918225)Time elapsed: 0.064 s
% 12.58/2.53 % (3918225)Peak memory usage: 90 MB
% 12.58/2.53 % (3918225)Instructions burned: 136 (million)
% 12.58/2.53 % (3918226)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3225104640:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 12.58/2.53 % (3918228)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=123231379:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 12.58/2.53 % (3918228)Instruction limit reached!
% 12.58/2.53 % (3918228)------------------------------
% 12.58/2.53 % (3918228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918228)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918228)Termination reason: Instruction limit
% 12.58/2.53 % (3918228)Termination phase: Saturation
% 12.58/2.53 % (3918228)Time elapsed: 0.113 s
% 12.58/2.53 % (3918228)Peak memory usage: 92 MB
% 12.58/2.53 % (3918228)Instructions burned: 191 (million)
% 12.58/2.53 % (3918226)Instruction limit reached!
% 12.58/2.53 % (3918226)------------------------------
% 12.58/2.53 % (3918226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918226)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918226)Termination reason: Instruction limit
% 12.58/2.53 % (3918226)Termination phase: Saturation
% 12.58/2.53 % (3918226)Time elapsed: 0.265 s
% 12.58/2.53 % (3918226)Peak memory usage: 100 MB
% 12.58/2.53 % (3918226)Instructions burned: 501 (million)
% 12.58/2.53 % (3918231)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=490752729:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 12.58/2.53 % (3918232)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3223467457:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 12.58/2.53 % (3918213)First to succeed.
% 12.58/2.53 % (3918213)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3918184"
% 12.58/2.53 % (3918231)Instruction limit reached!
% 12.58/2.53 % (3918231)------------------------------
% 12.58/2.53 % (3918231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918231)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918231)Termination reason: Instruction limit
% 12.58/2.53 % (3918231)Termination phase: Saturation
% 12.58/2.53 % (3918231)Time elapsed: 0.125 s
% 12.58/2.53 % (3918231)Peak memory usage: 94 MB
% 12.58/2.53 % (3918231)Instructions burned: 267 (million)
% 12.58/2.53 % (3918232)Instruction limit reached!
% 12.58/2.53 % (3918232)------------------------------
% 12.58/2.53 % (3918232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.53 % (3918232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.53 % (3918232)CaDiCaL version: 2.1.3
% 12.58/2.53 % (3918232)Termination reason: Instruction limit
% 12.58/2.53 % (3918232)Termination phase: Saturation
% 12.58/2.53 % (3918232)Time elapsed: 0.085 s
% 12.58/2.53 % (3918232)Peak memory usage: 91 MB
% 12.58/2.53 % (3918232)Instructions burned: 157 (million)
% 12.58/2.53 % (3918235)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3492644577:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 12.58/2.53 % (3918236)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4113547380:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 12.58/2.53 % (3918213)Refutation found. Thanks to Tanya!
% 12.58/2.53 % SZS status Unsatisfiable for theBenchmark
% 12.58/2.53 % SZS output start Proof for theBenchmark
% See solution above
% 13.35/2.72 % (3918213)------------------------------
% 13.35/2.72 % (3918213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.72 % (3918213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.72 % (3918213)CaDiCaL version: 2.1.3
% 13.35/2.72 % (3918213)Termination reason: Refutation
% 13.35/2.72 % (3918213)Time elapsed: 0.926 s
% 13.35/2.72 % (3918213)Peak memory usage: 145 MB
% 13.35/2.72 % (3918213)Instructions burned: 1496 (million)
% 13.35/2.72 % (3918213)------------------------------
% 13.35/2.72 % (3918213)------------------------------
% 13.35/2.72 % (3918184)Success in time 1.869 s
% 13.35/2.72 % Vampire exiting
%------------------------------------------------------------------------------