%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV354-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 01:08:59 PM UTC 2026
% Result : Unsatisfiable 12.78s 2.67s
% Output : Refutation 14.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 53 ( 13 unt; 4 def)
% Number of atoms : 124 ( 31 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 130 ( 59 ~; 67 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3577,axiom,
! [X2,X3,X0,X1,X6,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(c_Public_OshrK(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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__not__shrK_0) ).
fof(f3581,axiom,
! [X2,X3,X0,X1,X6,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(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))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
fof(f3582,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ c_in(c_Event_Oevent_OSays(X7,X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X12),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| X5 = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).
fof(f3587,axiom,
! [X2,X3,X0,X1,X6,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,c_Message_Omsg_ONonce(X5))))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X3),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| X7 = X5
| X3 = c_Public_OshrK(v_sko__2VY(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Osingle__Nonce__secrecy_0) ).
fof(f3588,plain,
! [X2,X3,X0,X1,X6,X7,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,c_Message_Omsg_ONonce(X5))))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X3),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| X5 = X7
| c_Public_OshrK(v_sko__2VY(X3)) = X3 ),
inference(reorient_equations,[],[f3587]) ).
fof(f3601,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3602,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3604,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3605,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3606,negated_conjecture,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f3607,negated_conjecture,
! [X0] :
( X0 != c_Message_Omsg_OKey(v_K)
| v_NA != v_NAa
| v_NB != v_NBa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f3608,plain,
! [X0] :
( c_Message_Omsg_OKey(v_K) != X0
| v_NAa != v_NA
| v_NBa != v_NB ),
inference(reorient_equations,[],[f3607]) ).
fof(f3791,plain,
( v_NAa != v_NA
| v_NBa != v_NB ),
inference(equality_resolution,[],[f3608]) ).
fof(f3850,definition,
( spl0_1
<=> v_NBa = v_NB ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3851,plain,
( v_NBa = v_NB
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f3850]) ).
fof(f3852,plain,
( v_NBa != v_NB
| spl0_1 ),
inference(avatar_component_clause,[],[f3850]) ).
fof(f3854,definition,
( spl0_2
<=> v_NAa = v_NA ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3856,plain,
( v_NAa != v_NA
| spl0_2 ),
inference(avatar_component_clause,[],[f3854]) ).
fof(f3857,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3791,f3854,f3850]) ).
fof(f3891,plain,
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolution,[],[f3581,f3602]) ).
fof(f3892,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(forward_subsumption_resolution,[],[f3891,f3601]) ).
fof(f3942,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| v_NA = X4 ),
inference(resolution,[],[f3582,f3604]) ).
fof(f3943,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| v_NA = X4 ),
inference(forward_subsumption_resolution,[],[f3942,f3601]) ).
fof(f3944,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_NA = X4 ),
inference(forward_subsumption_resolution,[],[f3943,f3605]) ).
fof(f4035,plain,
! [X0] :
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| v_NBa = X0
| v_K = c_Public_OshrK(v_sko__2VY(v_K)) ),
inference(resolution,[],[f3588,f3602]) ).
fof(f4038,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| v_NBa = X0
| v_K = c_Public_OshrK(v_sko__2VY(v_K)) ),
inference(forward_subsumption_resolution,[],[f4035,f3601]) ).
fof(f4040,definition,
( spl0_13
<=> v_K = c_Public_OshrK(v_sko__2VY(v_K)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f4042,plain,
( v_K = c_Public_OshrK(v_sko__2VY(v_K))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f4040]) ).
fof(f4044,definition,
( spl0_14
<=> ! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)
| v_NBa = X0
| c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f4045,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)
| v_NBa = X0
| c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f4044]) ).
fof(f4046,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f4038,f4044,f4040]) ).
fof(f4143,plain,
( v_NBa = v_NB
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_14 ),
inference(resolution,[],[f4045,f3606]) ).
fof(f4144,plain,
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| spl0_1
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f4143,f3852]) ).
fof(f4145,plain,
( $false
| spl0_1
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f4144,f3605]) ).
fof(f4146,plain,
( spl0_1
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f4145]) ).
fof(f4149,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_1 ),
inference(superposition,[],[f3892,f3851]) ).
fof(f4161,plain,
( v_NAa = v_NA
| ~ spl0_1 ),
inference(resolution,[],[f4149,f3944]) ).
fof(f4165,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f4161,f3856]) ).
fof(f4166,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f4165]) ).
fof(f4177,plain,
( ! [X2,X3,X0,X1,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(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_13 ),
inference(superposition,[],[f3577,f4042]) ).
fof(f4311,plain,
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_13 ),
inference(resolution,[],[f4177,f3602]) ).
fof(f4315,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f4311,f3601]) ).
fof(f4316,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f4315]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3857]) ).
cnf(s7,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f4046]) ).
cnf(s20,plain,
( spl0_1
| ~ spl0_14 ),
inference(sat_conversion,[],[f4146]) ).
cnf(s21,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f4166]) ).
cnf(s27,plain,
~ spl0_13,
inference(sat_conversion,[],[f4316]) ).
cnf(s28,plain,
spl0_14,
inference(rat,[],[s7,s27]) ).
cnf(s29,plain,
spl0_1,
inference(rat,[],[s20,s28]) ).
cnf(s30,plain,
spl0_2,
inference(rat,[],[s21,s29]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s1,s30,s29]) ).
fof(f4317,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV354-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/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 10:45:32 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 9.55/2.13 % (2532986)Input is clausal, will run a generic CNF schedule.
% 9.55/2.13 % (2532994)lrs+10_1_sil=8000:sp=occurrence:random_seed=2783448817:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.55/2.13 % (2532995)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2269650526:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.55/2.13 % (2532993)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2087006469:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.55/2.13 % (2532996)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3656920211:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.55/2.13 % (2532991)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=1317690752:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.55/2.13 % (2532997)dis-21_1_sil=8000:lcm=predicate:random_seed=3932627401: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)
% 9.55/2.13 % (2532992)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1935740871:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.55/2.13 % (2532994)Instruction limit reached!
% 9.55/2.13 % (2532994)------------------------------
% 9.55/2.13 % (2532994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.13 % (2532994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.13 % (2532994)CaDiCaL version: 2.1.3
% 9.55/2.13 % (2532994)Termination reason: Instruction limit
% 9.55/2.13 % (2532994)Termination phase: Saturation
% 9.55/2.13 % (2532994)Time elapsed: 0.041 s
% 9.55/2.13 % (2532994)Peak memory usage: 91 MB
% 9.55/2.13 % (2532994)Instructions burned: 109 (million)
% 9.55/2.13 % (2532997)Instruction limit reached!
% 9.55/2.13 % (2532997)------------------------------
% 9.55/2.13 % (2532997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.13 % (2532997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.13 % (2532997)CaDiCaL version: 2.1.3
% 9.55/2.13 % (2532997)Termination reason: Instruction limit
% 9.55/2.13 % (2532997)Termination phase: Saturation
% 9.55/2.13 % (2532997)Time elapsed: 0.065 s
% 9.55/2.13 % (2532997)Peak memory usage: 91 MB
% 9.55/2.13 % (2532997)Instructions burned: 117 (million)
% 9.55/2.13 % (2532995)Instruction limit reached!
% 9.55/2.13 % (2532995)------------------------------
% 9.55/2.13 % (2532995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.13 % (2532995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.13 % (2532995)CaDiCaL version: 2.1.3
% 9.55/2.13 % (2532995)Termination reason: Instruction limit
% 9.55/2.13 % (2532995)Termination phase: Saturation
% 9.55/2.13 % (2532995)Time elapsed: 0.071 s
% 9.55/2.13 % (2532995)Peak memory usage: 91 MB
% 9.55/2.13 % (2532995)Instructions burned: 114 (million)
% 9.55/2.13 % (2532996)Instruction limit reached!
% 9.55/2.13 % (2532996)------------------------------
% 9.55/2.13 % (2532996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.13 % (2532996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.13 % (2532996)CaDiCaL version: 2.1.3
% 9.55/2.13 % (2532996)Termination reason: Instruction limit
% 9.55/2.13 % (2532996)Termination phase: Saturation
% 9.55/2.13 % (2532996)Time elapsed: 0.104 s
% 9.55/2.13 % (2532996)Peak memory usage: 91 MB
% 9.55/2.13 % (2532996)Instructions burned: 180 (million)
% 9.55/2.13 % (2533005)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=359190841:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.55/2.13 % (2533005)Instruction limit reached!
% 9.55/2.13 % (2533005)------------------------------
% 9.55/2.13 % (2533005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.13 % (2533005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.13 % (2533005)CaDiCaL version: 2.1.3
% 9.55/2.13 % (2533005)Termination reason: Instruction limit
% 9.55/2.13 % (2533005)Termination phase: Saturation
% 9.55/2.13 % (2533005)Time elapsed: 0.049 s
% 9.55/2.13 % (2533005)Peak memory usage: 91 MB
% 9.55/2.13 % (2533005)Instructions burned: 145 (million)
% 9.55/2.13 % (2533007)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=443922042:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 12.78/2.67 % (2533006)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2449087446: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)
% 12.78/2.67 % (2533008)lrs+10_64_to=lpo:sil=8000:random_seed=1070564471:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 12.78/2.67 % (2533010)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2828491365:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.78/2.67 % (2533008)Instruction limit reached!
% 12.78/2.67 % (2533008)------------------------------
% 12.78/2.67 % (2533008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533008)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533008)Termination reason: Instruction limit
% 12.78/2.67 % (2533008)Termination phase: Saturation
% 12.78/2.67 % (2533008)Time elapsed: 0.072 s
% 12.78/2.67 % (2533008)Peak memory usage: 92 MB
% 12.78/2.67 % (2533008)Instructions burned: 127 (million)
% 12.78/2.67 % (2533006)Instruction limit reached!
% 12.78/2.67 % (2533006)------------------------------
% 12.78/2.67 % (2533006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533006)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533006)Termination reason: Instruction limit
% 12.78/2.67 % (2533006)Termination phase: Saturation
% 12.78/2.67 % (2533006)Time elapsed: 0.109 s
% 12.78/2.67 % (2533006)Peak memory usage: 93 MB
% 12.78/2.67 % (2533006)Instructions burned: 189 (million)
% 12.78/2.67 % (2533007)Instruction limit reached!
% 12.78/2.67 % (2533007)------------------------------
% 12.78/2.67 % (2533007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533007)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533007)Termination reason: Instruction limit
% 12.78/2.67 % (2533007)Termination phase: Saturation
% 12.78/2.67 % (2533007)Time elapsed: 0.132 s
% 12.78/2.67 % (2533007)Peak memory usage: 92 MB
% 12.78/2.67 % (2533007)Instructions burned: 219 (million)
% 12.78/2.67 % (2533010)Instruction limit reached!
% 12.78/2.67 % (2533010)------------------------------
% 12.78/2.67 % (2533010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533010)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533010)Termination reason: Instruction limit
% 12.78/2.67 % (2533010)Termination phase: Saturation
% 12.78/2.67 % (2533010)Time elapsed: 0.060 s
% 12.78/2.67 % (2533010)Peak memory usage: 92 MB
% 12.78/2.67 % (2533010)Instructions burned: 196 (million)
% 12.78/2.67 % (2533015)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3800567485:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 12.78/2.67 % (2533016)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3609403668:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 12.78/2.67 % (2533018)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1692529340:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 12.78/2.67 % (2533017)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=1393636869:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 12.78/2.67 % (2533018)Instruction limit reached!
% 12.78/2.67 % (2533018)------------------------------
% 12.78/2.67 % (2533018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533018)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533018)Termination reason: Instruction limit
% 12.78/2.67 % (2533018)Termination phase: Saturation
% 12.78/2.67 % (2533018)Time elapsed: 0.035 s
% 12.78/2.67 % (2533018)Peak memory usage: 92 MB
% 12.78/2.67 % (2533018)Instructions burned: 108 (million)
% 12.78/2.67 % (2533017)Instruction limit reached!
% 12.78/2.67 % (2533017)------------------------------
% 12.78/2.67 % (2533017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533017)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533017)Termination reason: Instruction limit
% 12.78/2.67 % (2533017)Termination phase: Saturation
% 12.78/2.67 % (2533017)Time elapsed: 0.062 s
% 12.78/2.67 % (2533017)Peak memory usage: 91 MB
% 12.78/2.67 % (2533017)Instructions burned: 107 (million)
% 12.78/2.67 % (2533015)Instruction limit reached!
% 12.78/2.67 % (2533015)------------------------------
% 12.78/2.67 % (2533015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533015)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533015)Termination reason: Instruction limit
% 12.78/2.67 % (2533015)Termination phase: Saturation
% 12.78/2.67 % (2533015)Time elapsed: 0.082 s
% 12.78/2.67 % (2533015)Peak memory usage: 92 MB
% 12.78/2.67 % (2533015)Instructions burned: 157 (million)
% 12.78/2.67 % (2533023)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3359888765:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 12.78/2.67 % (2533024)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2708594805:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 12.78/2.67 % (2533025)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=538513796:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 12.78/2.67 % (2533023)Instruction limit reached!
% 12.78/2.67 % (2533023)------------------------------
% 12.78/2.67 % (2533023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533023)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533023)Termination reason: Instruction limit
% 12.78/2.67 % (2533023)Termination phase: Saturation
% 12.78/2.67 % (2533023)Time elapsed: 0.076 s
% 12.78/2.67 % (2533023)Peak memory usage: 92 MB
% 12.78/2.67 % (2533023)Instructions burned: 243 (million)
% 12.78/2.67 % (2533025)Instruction limit reached!
% 12.78/2.67 % (2533025)------------------------------
% 12.78/2.67 % (2533025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533025)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533025)Termination reason: Instruction limit
% 12.78/2.67 % (2533025)Termination phase: Saturation
% 12.78/2.67 % (2533025)Time elapsed: 0.067 s
% 12.78/2.67 % (2533025)Peak memory usage: 91 MB
% 12.78/2.67 % (2533025)Instructions burned: 134 (million)
% 12.78/2.67 % (2533029)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1407780440:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 12.78/2.67 % (2533030)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3733989104:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 12.78/2.67 % (2533029)Instruction limit reached!
% 12.78/2.67 % (2533029)------------------------------
% 12.78/2.67 % (2533029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533029)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533029)Termination reason: Instruction limit
% 12.78/2.67 % (2533029)Termination phase: Saturation
% 12.78/2.67 % (2533029)Time elapsed: 0.144 s
% 12.78/2.67 % (2533029)Peak memory usage: 100 MB
% 12.78/2.67 % (2533029)Instructions burned: 502 (million)
% 12.78/2.67 % (2533030)Instruction limit reached!
% 12.78/2.67 % (2533030)------------------------------
% 12.78/2.67 % (2533030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533030)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533030)Termination reason: Instruction limit
% 12.78/2.67 % (2533030)Termination phase: Saturation
% 12.78/2.67 % (2533030)Time elapsed: 0.115 s
% 12.78/2.67 % (2533030)Peak memory usage: 93 MB
% 12.78/2.67 % (2533030)Instructions burned: 191 (million)
% 12.78/2.67 % (2533033)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1168116778:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 12.78/2.67 % (2533033)Instruction limit reached!
% 12.78/2.67 % (2533033)------------------------------
% 12.78/2.67 % (2533033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533033)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533033)Termination reason: Instruction limit
% 12.78/2.67 % (2533033)Termination phase: Saturation
% 12.78/2.67 % (2533033)Time elapsed: 0.068 s
% 12.78/2.67 % (2533033)Peak memory usage: 94 MB
% 12.78/2.67 % (2533033)Instructions burned: 269 (million)
% 12.78/2.67 % (2533034)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2396581914:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 12.78/2.67 % (2533036)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=2235926952:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 12.78/2.67 % (2533034)Instruction limit reached!
% 12.78/2.67 % (2533034)------------------------------
% 12.78/2.67 % (2533034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.67 % (2533034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.67 % (2533034)CaDiCaL version: 2.1.3
% 12.78/2.67 % (2533034)Termination reason: Instruction limit
% 12.78/2.67 % (2533034)Termination phase: Saturation
% 12.78/2.67 % (2533034)Time elapsed: 0.088 s
% 12.78/2.67 % (2533034)Peak memory usage: 91 MB
% 12.78/2.67 % (2533034)Instructions burned: 157 (million)
% 12.78/2.67 % (2533016)First to succeed.
% 12.78/2.67 % (2533016)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2532986"
% 12.78/2.67 % (2533039)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1689619634:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 12.78/2.67 % (2533016)Refutation found. Thanks to Tanya!
% 12.78/2.67 % SZS status Unsatisfiable for theBenchmark
% 12.78/2.67 % SZS output start Proof for theBenchmark
% See solution above
% 14.09/2.77 % (2533016)------------------------------
% 14.09/2.77 % (2533016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/2.77 % (2533016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/2.77 % (2533016)CaDiCaL version: 2.1.3
% 14.09/2.77 % (2533016)Termination reason: Refutation
% 14.09/2.77 % (2533016)Time elapsed: 0.991 s
% 14.09/2.77 % (2533016)Peak memory usage: 141 MB
% 14.09/2.77 % (2533016)Instructions burned: 1573 (million)
% 14.09/2.77 % (2533016)------------------------------
% 14.09/2.77 % (2533016)------------------------------
% 14.09/2.77 % (2532986)Success in time 1.995 s
% 14.09/2.77 % Vampire exiting
%------------------------------------------------------------------------------