%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV769-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:19:28 PM UTC 2026
% Result : Unsatisfiable 19.76s 3.78s
% Output : Refutation 20.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 62 ( 18 unt; 5 def)
% Number of atoms : 139 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 141 ( 64 ~; 72 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 20 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f518,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/sandbox/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
fof(f519,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/sandbox/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
fof(f552,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/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
fof(f554,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),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)))
| 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(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
fof(f556,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/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
fof(f584,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/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
fof(f588,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/sandbox/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
fof(f601,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
fof(f603,negated_conjecture,
hBOOL(c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f606,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),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f607,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f608,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_evs5,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f609,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f610,plain,
v_Ka = v_K,
inference(reorient_equations,[],[f609]) ).
fof(f614,negated_conjecture,
( v_B != v_Ba
| v_A != v_Aa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f655,plain,
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_K),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
inference(definition_unfolding,[],[f606,f610]) ).
fof(f662,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_evs5,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f663,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_evs5,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f675,definition,
( spl0_4
<=> v_A = v_Aa ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f677,plain,
( v_A != v_Aa
| spl0_4 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f679,definition,
( spl0_5
<=> v_B = v_Ba ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f682,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f614,f679,f675]) ).
fof(f684,plain,
spl0_1,
inference(avatar_split_clause,[],[f608,f662]) ).
fof(f730,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| v_A = X0
| ~ 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_evs5,tc_Event_Oevent),tc_Event_Oevent)) )
| ~ spl0_1 ),
inference(resolution,[],[f554,f663]) ).
fof(f735,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_evs5,tc_Event_Oevent),tc_Event_Oevent))
| v_A = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f730,f603]) ).
fof(f737,plain,
( ! [X2,X3,X0,X1] :
( v_A = X0
| ~ hBOOL(c_in(v_evs5,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,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)) )
| ~ spl0_1 ),
inference(resolution,[],[f735,f584]) ).
fof(f740,plain,
( ! [X2,X3,X0,X1] :
( ~ 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,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| v_A = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f737,f603]) ).
fof(f741,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(v_evs5,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_evs5,tc_Event_Oevent),tc_Event_Oevent))
| v_B = X2 )
| ~ spl0_1 ),
inference(resolution,[],[f556,f663]) ).
fof(f746,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_evs5,tc_Event_Oevent),tc_Event_Oevent))
| v_B = X2 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f741,f603]) ).
fof(f748,plain,
( ! [X2,X3,X0,X1] :
( v_B = X0
| ~ hBOOL(c_in(v_evs5,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_evs5)),tc_Message_Omsg)) )
| ~ spl0_1 ),
inference(resolution,[],[f746,f584]) ).
fof(f751,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_evs5)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| v_B = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f748,f603]) ).
fof(f862,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),v_X)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
inference(resolution,[],[f552,f655]) ).
fof(f879,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),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)) ),
inference(resolution,[],[f862,f588]) ).
fof(f884,definition,
( spl0_10
<=> 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),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f886,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),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f888,definition,
( spl0_11
<=> hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f890,plain,
( ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| spl0_11 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f891,plain,
( spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f879,f888,f884]) ).
fof(f902,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),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
inference(resolution,[],[f601,f862]) ).
fof(f911,plain,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| v_B = v_Ba
| ~ spl0_1 ),
inference(resolution,[],[f902,f751]) ).
fof(f912,plain,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| v_A = v_Aa
| ~ spl0_1 ),
inference(resolution,[],[f902,f740]) ).
fof(f922,plain,
( v_A = v_Aa
| ~ spl0_1
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f912,f890]) ).
fof(f923,plain,
( v_B = v_Ba
| ~ spl0_1
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f911,f890]) ).
fof(f925,plain,
( $false
| ~ spl0_1
| spl0_4
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f922,f677]) ).
fof(f926,plain,
( ~ spl0_1
| spl0_4
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f925]) ).
fof(f927,plain,
( spl0_5
| ~ spl0_1
| spl0_11 ),
inference(avatar_split_clause,[],[f923,f888,f662,f679]) ).
fof(f929,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),v_X)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg))
| ~ spl0_10 ),
inference(resolution,[],[f886,f518]) ).
fof(f933,plain,
( hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg))
| ~ spl0_10 ),
inference(resolution,[],[f929,f518]) ).
fof(f955,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg))
| ~ spl0_10 ),
inference(resolution,[],[f933,f519]) ).
fof(f959,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f955,f607]) ).
fof(f960,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f959]) ).
cnf(s2,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f682]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f684]) ).
cnf(s7,plain,
( spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f891]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f926]) ).
cnf(s9,plain,
( ~ spl0_1
| spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f927]) ).
cnf(s10,plain,
~ spl0_10,
inference(sat_conversion,[],[f960]) ).
cnf(s11,plain,
~ spl0_11,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
spl0_5,
inference(rat,[],[s9,s11,s4]) ).
cnf(s13,plain,
spl0_4,
inference(rat,[],[s8,s11,s4]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s2,s12,s13]) ).
fof(f961,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV769-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n001.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 12:36:03 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.28 Running first-order theorem proving
% 0.09/0.28 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.76/3.78 % (317885)Input is clausal, will run a generic CNF schedule.
% 19.76/3.78 % (317892)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=295425195:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 19.76/3.78 % (317897)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4258475276:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 19.76/3.78 % (317895)lrs+10_1_sil=8000:sp=occurrence:random_seed=4006825709:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 19.76/3.78 % (317893)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=969347995:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 19.76/3.78 % (317896)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2480802627:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 19.76/3.78 % (317894)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1152202552:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 19.76/3.78 % (317898)dis-21_1_sil=8000:lcm=predicate:random_seed=2622278955: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)
% 19.76/3.78 % (317895)Instruction limit reached!
% 19.76/3.78 % (317895)------------------------------
% 19.76/3.78 % (317895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317895)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317895)Termination reason: Instruction limit
% 19.76/3.78 % (317895)Termination phase: Saturation
% 19.76/3.78 % (317895)Time elapsed: 0.114 s
% 19.76/3.78 % (317895)Peak memory usage: 89 MB
% 19.76/3.78 % (317895)Instructions burned: 107 (million)
% 19.76/3.78 % (317896)Instruction limit reached!
% 19.76/3.78 % (317896)------------------------------
% 19.76/3.78 % (317896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317896)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317896)Termination reason: Instruction limit
% 19.76/3.78 % (317896)Termination phase: Saturation
% 19.76/3.78 % (317896)Time elapsed: 0.121 s
% 19.76/3.78 % (317896)Peak memory usage: 89 MB
% 19.76/3.78 % (317896)Instructions burned: 114 (million)
% 19.76/3.78 % (317898)Instruction limit reached!
% 19.76/3.78 % (317898)------------------------------
% 19.76/3.78 % (317898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317898)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317898)Termination reason: Instruction limit
% 19.76/3.78 % (317898)Termination phase: Saturation
% 19.76/3.78 % (317898)Time elapsed: 0.101 s
% 19.76/3.78 % (317898)Peak memory usage: 89 MB
% 19.76/3.78 % (317898)Instructions burned: 118 (million)
% 19.76/3.78 % (317897)Instruction limit reached!
% 19.76/3.78 % (317897)------------------------------
% 19.76/3.78 % (317897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317897)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317897)Termination reason: Instruction limit
% 19.76/3.78 % (317897)Termination phase: Saturation
% 19.76/3.78 % (317897)Time elapsed: 0.182 s
% 19.76/3.78 % (317897)Peak memory usage: 90 MB
% 19.76/3.78 % (317897)Instructions burned: 181 (million)
% 19.76/3.78 % (317906)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=3174959646:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 19.76/3.78 % (317907)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1065571364:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 19.76/3.78 % (317908)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3773322808:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 19.76/3.78 % (317906)Instruction limit reached!
% 19.76/3.78 % (317906)------------------------------
% 19.76/3.78 % (317906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317906)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317906)Termination reason: Instruction limit
% 19.76/3.78 % (317906)Termination phase: Saturation
% 19.76/3.78 % (317906)Time elapsed: 0.147 s
% 19.76/3.78 % (317906)Peak memory usage: 90 MB
% 19.76/3.78 % (317906)Instructions burned: 143 (million)
% 19.76/3.78 % (317909)lrs+10_64_to=lpo:sil=8000:random_seed=2989004889:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 19.76/3.78 % (317907)Instruction limit reached!
% 19.76/3.78 % (317907)------------------------------
% 19.76/3.78 % (317907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317907)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317907)Termination reason: Instruction limit
% 19.76/3.78 % (317907)Termination phase: Saturation
% 19.76/3.78 % (317907)Time elapsed: 0.171 s
% 19.76/3.78 % (317907)Peak memory usage: 91 MB
% 19.76/3.78 % (317907)Instructions burned: 189 (million)
% 19.76/3.78 % (317909)Instruction limit reached!
% 19.76/3.78 % (317909)------------------------------
% 19.76/3.78 % (317909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317909)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317909)Termination reason: Instruction limit
% 19.76/3.78 % (317909)Termination phase: Saturation
% 19.76/3.78 % (317909)Time elapsed: 0.124 s
% 19.76/3.78 % (317909)Peak memory usage: 90 MB
% 19.76/3.78 % (317909)Instructions burned: 126 (million)
% 19.76/3.78 % (317908)Instruction limit reached!
% 19.76/3.78 % (317908)------------------------------
% 19.76/3.78 % (317908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317908)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317908)Termination reason: Instruction limit
% 19.76/3.78 % (317908)Termination phase: Saturation
% 19.76/3.78 % (317908)Time elapsed: 0.203 s
% 19.76/3.78 % (317908)Peak memory usage: 91 MB
% 19.76/3.78 % (317908)Instructions burned: 219 (million)
% 19.76/3.78 % (317913)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2298425330:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 19.76/3.78 % (317915)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2851563825:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 19.76/3.78 % (317916)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2467550578:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 19.76/3.78 % (317913)Instruction limit reached!
% 19.76/3.78 % (317913)------------------------------
% 19.76/3.78 % (317913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317913)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317913)Termination reason: Instruction limit
% 19.76/3.78 % (317913)Termination phase: Saturation
% 19.76/3.78 % (317913)Time elapsed: 0.185 s
% 19.76/3.78 % (317913)Peak memory usage: 90 MB
% 19.76/3.78 % (317913)Instructions burned: 195 (million)
% 19.76/3.78 % (317917)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=2800583475:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 19.76/3.78 % (317915)Instruction limit reached!
% 19.76/3.78 % (317915)------------------------------
% 19.76/3.78 % (317915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317915)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317915)Termination reason: Instruction limit
% 19.76/3.78 % (317915)Termination phase: Saturation
% 19.76/3.78 % (317915)Time elapsed: 0.172 s
% 19.76/3.78 % (317915)Peak memory usage: 91 MB
% 19.76/3.78 % (317915)Instructions burned: 157 (million)
% 19.76/3.78 % (317917)Instruction limit reached!
% 19.76/3.78 % (317917)------------------------------
% 19.76/3.78 % (317917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317917)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317917)Termination reason: Instruction limit
% 19.76/3.78 % (317917)Termination phase: Saturation
% 19.76/3.78 % (317917)Time elapsed: 0.100 s
% 19.76/3.78 % (317917)Peak memory usage: 90 MB
% 19.76/3.78 % (317917)Instructions burned: 106 (million)
% 19.76/3.78 % (317923)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2078688746:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 19.76/3.78 % (317925)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1145152144:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 19.76/3.78 % (317923)Instruction limit reached!
% 19.76/3.78 % (317923)------------------------------
% 19.76/3.78 % (317923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317923)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317923)Termination reason: Instruction limit
% 19.76/3.78 % (317923)Termination phase: Saturation
% 19.76/3.78 % (317923)Time elapsed: 0.104 s
% 19.76/3.78 % (317923)Peak memory usage: 90 MB
% 19.76/3.78 % (317923)Instructions burned: 108 (million)
% 19.76/3.78 % (317926)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4054129729:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 19.76/3.78 % (317925)Instruction limit reached!
% 19.76/3.78 % (317925)------------------------------
% 19.76/3.78 % (317925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317925)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317925)Termination reason: Instruction limit
% 19.76/3.78 % (317925)Termination phase: Saturation
% 19.76/3.78 % (317925)Time elapsed: 0.251 s
% 19.76/3.78 % (317925)Peak memory usage: 90 MB
% 19.76/3.78 % (317925)Instructions burned: 243 (million)
% 19.76/3.78 % (317930)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2149471426:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 19.76/3.78 % (317930)Instruction limit reached!
% 19.76/3.78 % (317930)------------------------------
% 19.76/3.78 % (317930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317930)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317930)Termination reason: Instruction limit
% 19.76/3.78 % (317930)Termination phase: Saturation
% 19.76/3.78 % (317930)Time elapsed: 0.110 s
% 19.76/3.78 % (317930)Peak memory usage: 89 MB
% 19.76/3.78 % (317930)Instructions burned: 135 (million)
% 19.76/3.78 % (317931)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=904540344:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 19.76/3.78 % (317933)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1417298958:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 19.76/3.78 % (317916)First to succeed.
% 19.76/3.78 % (317916)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-317885"
% 19.76/3.78 % (317933)Instruction limit reached!
% 19.76/3.78 % (317933)------------------------------
% 19.76/3.78 % (317933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317933)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317933)Termination reason: Instruction limit
% 19.76/3.78 % (317933)Termination phase: Saturation
% 19.76/3.78 % (317933)Time elapsed: 0.217 s
% 19.76/3.78 % (317933)Peak memory usage: 92 MB
% 19.76/3.78 % (317933)Instructions burned: 192 (million)
% 19.76/3.78 % (317931)Instruction limit reached!
% 19.76/3.78 % (317931)------------------------------
% 19.76/3.78 % (317931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/3.78 % (317931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.78 % (317931)CaDiCaL version: 2.1.3
% 19.76/3.78 % (317931)Termination reason: Instruction limit
% 19.76/3.78 % (317931)Termination phase: Saturation
% 19.76/3.78 % (317931)Time elapsed: 0.536 s
% 19.76/3.78 % (317931)Peak memory usage: 96 MB
% 19.76/3.78 % (317931)Instructions burned: 499 (million)
% 19.76/3.78 % (317892)Also succeeded, but the first one will report.
% 19.76/3.78 % (317936)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1401950955:i=264:kws=precedence:fsr=off_2975 on theBenchmark for (2975ds/264Mi)
% 19.76/3.78 % (317916)Refutation found. Thanks to Tanya!
% 19.76/3.78 % SZS status Unsatisfiable for theBenchmark
% 19.76/3.78 % SZS output start Proof for theBenchmark
% See solution above
% 20.88/4.03 % (317916)------------------------------
% 20.88/4.03 % (317916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.88/4.03 % (317916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/4.03 % (317916)CaDiCaL version: 2.1.3
% 20.88/4.03 % (317916)Termination reason: Refutation
% 20.88/4.03 % (317916)Time elapsed: 1.296 s
% 20.88/4.03 % (317916)Peak memory usage: 138 MB
% 20.88/4.03 % (317916)Instructions burned: 1281 (million)
% 20.88/4.03 % (317916)------------------------------
% 20.88/4.03 % (317916)------------------------------
% 20.88/4.03 % (317885)Success in time 2.848 s
% 20.88/4.03 % Vampire exiting
%------------------------------------------------------------------------------