%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV794-1 : 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 01:19:31 PM UTC 2026
% Result : Unsatisfiable 4.10s 1.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 85 ( 46 unt; 15 def)
% Number of atoms : 205 ( 28 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 208 ( 88 ~; 118 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-4 aty)
% Number of functors : 40 ( 40 usr; 29 con; 0-3 aty)
% Number of variables : 130 ( 0 sgn 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f555,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS4__lemma_0) ).
fof(f556,axiom,
! [X2,X3,X0,X1,X4,X5] :
( 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)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ 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(f563,axiom,
! [X2,X3,X0,X1,X4] :
( c_NS__Shared__Mirabelle_OIssues(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),X4)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__Issues__A_0) ).
fof(f638,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f639,negated_conjecture,
c_in(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),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f640,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f641,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f642,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f643,negated_conjecture,
c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f644,negated_conjecture,
~ c_NS__Shared__Mirabelle_OIssues(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),v_evs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f678,definition,
sF0 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f679,plain,
c_Message_Omsg_ONonce(v_NB) = sF0,
inference(reorient_equations,[],[f678]) ).
fof(f680,definition,
sF1 = c_Message_Omsg_OCrypt(v_K,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f681,plain,
c_Message_Omsg_OCrypt(v_K,sF0) = sF1,
inference(reorient_equations,[],[f680]) ).
fof(f682,definition,
sF2 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f683,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) = sF2,
inference(reorient_equations,[],[f682]) ).
fof(f684,definition,
sF3 = c_Message_Oparts(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f685,plain,
c_Message_Oparts(sF2) = sF3,
inference(reorient_equations,[],[f684]) ).
fof(f686,plain,
c_in(sF1,sF3,tc_Message_Omsg),
inference(definition_folding,[],[f638,f685,f683,f681,f679]) ).
fof(f687,definition,
sF4 = hAPP(c_Public_OshrK,v_A),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f688,plain,
hAPP(c_Public_OshrK,v_A) = sF4,
inference(reorient_equations,[],[f687]) ).
fof(f689,definition,
sF5 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f690,plain,
c_Message_Omsg_OAgent(v_B) = sF5,
inference(reorient_equations,[],[f689]) ).
fof(f691,definition,
sF6 = hAPP(c_Message_Omsg_OKey,v_K),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f692,plain,
hAPP(c_Message_Omsg_OKey,v_K) = sF6,
inference(reorient_equations,[],[f691]) ).
fof(f693,definition,
sF7 = c_Message_Omsg_OMPair(sF6,v_X),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f694,plain,
c_Message_Omsg_OMPair(sF6,v_X) = sF7,
inference(reorient_equations,[],[f693]) ).
fof(f695,definition,
sF8 = c_Message_Omsg_OMPair(sF5,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f696,plain,
c_Message_Omsg_OMPair(sF5,sF7) = sF8,
inference(reorient_equations,[],[f695]) ).
fof(f697,definition,
sF9 = c_Message_Omsg_OMPair(v_NA,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f698,plain,
c_Message_Omsg_OMPair(v_NA,sF8) = sF9,
inference(reorient_equations,[],[f697]) ).
fof(f699,definition,
sF10 = c_Message_Omsg_OCrypt(sF4,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f700,plain,
c_Message_Omsg_OCrypt(sF4,sF9) = sF10,
inference(reorient_equations,[],[f699]) ).
fof(f701,plain,
c_in(sF10,sF3,tc_Message_Omsg),
inference(definition_folding,[],[f639,f685,f683,f700,f698,f696,f694,f692,f690,f688]) ).
fof(f702,definition,
sF11 = c_Message_Oanalz(sF2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f703,plain,
c_Message_Oanalz(sF2) = sF11,
inference(reorient_equations,[],[f702]) ).
fof(f704,plain,
~ c_in(sF6,sF11,tc_Message_Omsg),
inference(definition_folding,[],[f640,f703,f683,f692]) ).
fof(f705,definition,
sF12 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f706,plain,
tc_List_Olist(tc_Event_Oevent) = sF12,
inference(reorient_equations,[],[f705]) ).
fof(f707,plain,
c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,sF12),
inference(definition_folding,[],[f643,f706]) ).
fof(f708,plain,
~ c_NS__Shared__Mirabelle_OIssues(v_B,v_A,sF1,v_evs),
inference(definition_folding,[],[f644,f681,f679]) ).
fof(f727,plain,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)) = sF1,
inference(forward_demodulation,[],[f681,f679]) ).
fof(f728,plain,
sF8 = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),sF7),
inference(forward_demodulation,[],[f696,f690]) ).
fof(f756,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,sF12)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(backward_demodulation,[],[f555,f706]) ).
fof(f757,plain,
! [X2,X3,X0,X1,X4,X5] :
( 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)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,sF12)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ 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) ),
inference(backward_demodulation,[],[f556,f706]) ).
fof(f760,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_NS__Shared__Mirabelle_OIssues(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),X4)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,sF12) ),
inference(backward_demodulation,[],[f563,f706]) ).
fof(f1013,definition,
( spl13_17
<=> ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X0,sF8)),sF3,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl13_17])],[avatar_definition]) ).
fof(f1014,plain,
( ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X0,sF8)),sF3,tc_Message_Omsg)
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1426,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,sF12)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,sF12)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(resolution,[],[f756,f757]) ).
fof(f1432,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,sF12)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(duplicate_literal_removal,[],[f1426]) ).
fof(f1437,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 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(sF2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5)),c_Message_Oparts(sF2),tc_Message_Omsg)
| ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,sF12)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(sF2),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[],[f1432,f683]) ).
fof(f1439,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 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(sF2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5)),c_Message_Oparts(sF2),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(sF2),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[],[f1437,f707]) ).
fof(f1441,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 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)))),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5)),c_Message_Oparts(sF2),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(sF2),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_demodulation,[],[f1439,f685]) ).
fof(f1442,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5)),sF3,tc_Message_Omsg)
| ~ 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)))),sF3,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(sF2),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_demodulation,[],[f1441,f685]) ).
fof(f1443,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 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)))),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5)),sF3,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X3),sF11,tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_demodulation,[],[f1442,f703]) ).
fof(f1447,plain,
! [X2,X3,X0,X1,X4] :
( ~ 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(sF6,X3)))),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X4)),sF3,tc_Message_Omsg)
| c_in(sF6,sF11,tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X4))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[],[f1443,f692]) ).
fof(f1448,plain,
! [X2,X3,X0,X1,X4] :
( ~ 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(sF6,X3)))),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X4)),sF3,tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X4))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[],[f1447,f704]) ).
fof(f1452,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF6,X2)))),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X3)),sF3,tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X1,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X3))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[],[f1448,f688]) ).
fof(f1454,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF6,X2)))),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X3)),sF3,tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X1,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X3))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[],[f1452,f641]) ).
fof(f1457,plain,
! [X2,X0,X1] :
( c_in(c_Event_Oevent_OSays(X1,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X2))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X2)),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF7))),sF3,tc_Message_Omsg) ),
inference(superposition,[],[f1454,f694]) ).
fof(f1518,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),sF7))),sF3,tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X2,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),v_evs)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,sF12) ),
inference(resolution,[],[f1457,f760]) ).
fof(f1521,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),sF7))),sF3,tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X2,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),v_evs)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,sF12) ),
inference(forward_subsumption_resolution,[],[f1518,f641]) ).
fof(f1522,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),sF7))),sF3,tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X2,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),v_evs)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[],[f1521,f707]) ).
fof(f1523,plain,
! [X2,X0,X1] :
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(sF2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),sF7))),sF3,tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X2,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),v_evs)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f1522,f683]) ).
fof(f1524,plain,
! [X2,X0,X1] :
( c_in(hAPP(c_Message_Omsg_OKey,v_K),sF11,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),sF7))),sF3,tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X2,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),v_evs)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f1523,f703]) ).
fof(f1525,plain,
! [X2,X0,X1] :
( c_in(sF6,sF11,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),sF7))),sF3,tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X2,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),v_evs)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f1524,f692]) ).
fof(f1526,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),sF7))),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),sF3,tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X2,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),v_evs)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_subsumption_resolution,[],[f1525,f704]) ).
fof(f1529,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X0,sF8)),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X1)),sF3,tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X1)),v_evs)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[],[f1526,f728]) ).
fof(f1530,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF4,c_Message_Omsg_OMPair(X0,sF8)),sF3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X1)),sF3,tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X1)),v_evs) ),
inference(forward_subsumption_resolution,[],[f1529,f642]) ).
fof(f1532,definition,
( spl13_22
<=> ! [X1] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X1)),sF3,tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X1)),v_evs) ) ),
introduced(definition,[new_symbols(definition,[spl13_22])],[avatar_definition]) ).
fof(f1533,plain,
( ! [X1] :
( c_NS__Shared__Mirabelle_OIssues(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X1)),v_evs)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X1)),sF3,tc_Message_Omsg) )
| ~ spl13_22 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f1534,plain,
( spl13_22
| spl13_17 ),
inference(avatar_split_clause,[],[f1530,f1013,f1532]) ).
fof(f1537,plain,
( ~ c_in(c_Message_Omsg_OCrypt(sF4,sF9),sF3,tc_Message_Omsg)
| ~ spl13_17 ),
inference(superposition,[],[f1014,f698]) ).
fof(f1538,plain,
( ~ c_in(sF10,sF3,tc_Message_Omsg)
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1537,f700]) ).
fof(f1539,plain,
( $false
| ~ spl13_17 ),
inference(forward_subsumption_resolution,[],[f1538,f701]) ).
fof(f1540,plain,
~ spl13_17,
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1541,plain,
( c_NS__Shared__Mirabelle_OIssues(v_B,v_A,sF1,v_evs)
| ~ c_in(sF1,sF3,tc_Message_Omsg)
| ~ spl13_22 ),
inference(superposition,[],[f1533,f727]) ).
fof(f1542,plain,
( ~ c_in(sF1,sF3,tc_Message_Omsg)
| ~ spl13_22 ),
inference(forward_subsumption_resolution,[],[f1541,f708]) ).
fof(f1543,plain,
( $false
| ~ spl13_22 ),
inference(forward_subsumption_resolution,[],[f1542,f686]) ).
fof(f1544,plain,
~ spl13_22,
inference(avatar_contradiction_clause,[],[f1543]) ).
cnf(s16,plain,
( spl13_17
| spl13_22 ),
inference(sat_conversion,[],[f1534]) ).
cnf(s17,plain,
~ spl13_17,
inference(sat_conversion,[],[f1540]) ).
cnf(s18,plain,
~ spl13_22,
inference(sat_conversion,[],[f1544]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s16,s18,s17]) ).
fof(f1545,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV794-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n001.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 12:39:33 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 Running first-order theorem proving
% 0.10/0.19 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
% 4.10/1.50 % (322168)Input is clausal, will run a generic CNF schedule.
% 4.10/1.50 % (322175)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3626341489:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.10/1.50 % (322178)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=220073817:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.10/1.50 % (322179)dis-21_1_sil=8000:lcm=predicate:random_seed=514585479:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.10/1.50 % (322176)lrs+10_1_sil=8000:sp=occurrence:random_seed=4100850664:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.10/1.50 % (322177)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2761976608:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.10/1.50 % (322174)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1890425711:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.10/1.50 % (322173)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=2219916393:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.10/1.50 % (322179)Instruction limit reached!
% 4.10/1.50 % (322179)------------------------------
% 4.10/1.50 % (322179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.50 % (322179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.50 % (322179)CaDiCaL version: 2.1.3
% 4.10/1.50 % (322179)Termination reason: Instruction limit
% 4.10/1.50 % (322179)Termination phase: Saturation
% 4.10/1.50 % (322179)Time elapsed: 0.069 s
% 4.10/1.50 % (322179)Peak memory usage: 89 MB
% 4.10/1.50 % (322179)Instructions burned: 118 (million)
% 4.10/1.50 % (322176)Instruction limit reached!
% 4.10/1.50 % (322176)------------------------------
% 4.10/1.50 % (322176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.50 % (322176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.50 % (322176)CaDiCaL version: 2.1.3
% 4.10/1.50 % (322176)Termination reason: Instruction limit
% 4.10/1.50 % (322176)Termination phase: Saturation
% 4.10/1.50 % (322176)Time elapsed: 0.072 s
% 4.10/1.50 % (322176)Peak memory usage: 89 MB
% 4.10/1.50 % (322176)Instructions burned: 107 (million)
% 4.10/1.50 % (322177)Instruction limit reached!
% 4.10/1.50 % (322177)------------------------------
% 4.10/1.50 % (322177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.50 % (322177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.50 % (322177)CaDiCaL version: 2.1.3
% 4.10/1.50 % (322177)Termination reason: Instruction limit
% 4.10/1.50 % (322177)Termination phase: Saturation
% 4.10/1.50 % (322177)Time elapsed: 0.077 s
% 4.10/1.50 % (322177)Peak memory usage: 88 MB
% 4.10/1.50 % (322177)Instructions burned: 114 (million)
% 4.10/1.50 % (322178)Instruction limit reached!
% 4.10/1.50 % (322178)------------------------------
% 4.10/1.50 % (322178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.50 % (322178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.50 % (322178)CaDiCaL version: 2.1.3
% 4.10/1.50 % (322178)Termination reason: Instruction limit
% 4.10/1.50 % (322178)Termination phase: Saturation
% 4.10/1.50 % (322178)Time elapsed: 0.116 s
% 4.10/1.50 % (322178)Peak memory usage: 90 MB
% 4.10/1.50 % (322178)Instructions burned: 182 (million)
% 4.10/1.50 % (322188)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1743806597:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.10/1.50 % (322187)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=79300879:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.10/1.50 % (322189)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=596812026:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.10/1.50 % (322190)lrs+10_64_to=lpo:sil=8000:random_seed=311799280:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.10/1.50 % (322187)Instruction limit reached!
% 4.10/1.50 % (322187)------------------------------
% 4.10/1.50 % (322187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.51 % (322187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.51 % (322187)CaDiCaL version: 2.1.3
% 4.10/1.51 % (322187)Termination reason: Instruction limit
% 4.10/1.51 % (322187)Termination phase: Saturation
% 4.10/1.51 % (322187)Time elapsed: 0.086 s
% 4.10/1.51 % (322187)Peak memory usage: 89 MB
% 4.10/1.51 % (322187)Instructions burned: 144 (million)
% 4.10/1.51 % (322188)Instruction limit reached!
% 4.10/1.51 % (322188)------------------------------
% 4.10/1.51 % (322188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.51 % (322188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.51 % (322188)CaDiCaL version: 2.1.3
% 4.10/1.51 % (322188)Termination reason: Instruction limit
% 4.10/1.51 % (322188)Termination phase: Saturation
% 4.10/1.51 % (322188)Time elapsed: 0.105 s
% 4.10/1.51 % (322188)Peak memory usage: 90 MB
% 4.10/1.51 % (322188)Instructions burned: 190 (million)
% 4.10/1.51 % (322189)Instruction limit reached!
% 4.10/1.51 % (322189)------------------------------
% 4.10/1.51 % (322189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.51 % (322189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.51 % (322189)CaDiCaL version: 2.1.3
% 4.10/1.51 % (322189)Termination reason: Instruction limit
% 4.10/1.51 % (322189)Termination phase: Saturation
% 4.10/1.51 % (322189)Time elapsed: 0.122 s
% 4.10/1.51 % (322189)Peak memory usage: 90 MB
% 4.10/1.51 % (322189)Instructions burned: 220 (million)
% 4.10/1.51 % (322190)Instruction limit reached!
% 4.10/1.51 % (322190)------------------------------
% 4.10/1.51 % (322190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.51 % (322190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.51 % (322190)CaDiCaL version: 2.1.3
% 4.10/1.51 % (322190)Termination reason: Instruction limit
% 4.10/1.51 % (322190)Termination phase: Saturation
% 4.10/1.51 % (322190)Time elapsed: 0.081 s
% 4.10/1.51 % (322190)Peak memory usage: 89 MB
% 4.10/1.51 % (322190)Instructions burned: 127 (million)
% 4.10/1.51 % (322195)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1298324591:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.10/1.51 % (322196)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4275400813:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.10/1.51 % (322197)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=241577057:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 4.10/1.51 % (322198)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=2371737710:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.10/1.51 % (322195)Instruction limit reached!
% 4.10/1.51 % (322195)------------------------------
% 4.10/1.51 % (322195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.51 % (322195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.51 % (322195)CaDiCaL version: 2.1.3
% 4.10/1.51 % (322195)Termination reason: Instruction limit
% 4.10/1.51 % (322195)Termination phase: Saturation
% 4.10/1.51 % (322195)Time elapsed: 0.110 s
% 4.10/1.51 % (322195)Peak memory usage: 90 MB
% 4.10/1.51 % (322195)Instructions burned: 194 (million)
% 4.10/1.51 % (322175)First to succeed.
% 4.10/1.51 % (322175)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-322168"
% 4.10/1.51 % (322198)Instruction limit reached!
% 4.10/1.51 % (322198)------------------------------
% 4.10/1.51 % (322198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.51 % (322198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.51 % (322198)CaDiCaL version: 2.1.3
% 4.10/1.51 % (322198)Termination reason: Instruction limit
% 4.10/1.51 % (322198)Termination phase: Saturation
% 4.10/1.51 % (322198)Time elapsed: 0.058 s
% 4.10/1.51 % (322198)Peak memory usage: 89 MB
% 4.10/1.51 % (322198)Instructions burned: 107 (million)
% 4.10/1.51 % (322196)Instruction limit reached!
% 4.10/1.51 % (322196)------------------------------
% 4.10/1.51 % (322196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.51 % (322196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.51 % (322196)CaDiCaL version: 2.1.3
% 4.10/1.51 % (322196)Termination reason: Instruction limit
% 4.10/1.51 % (322196)Termination phase: Saturation
% 4.10/1.51 % (322196)Time elapsed: 0.105 s
% 4.10/1.51 % (322196)Peak memory usage: 91 MB
% 4.10/1.51 % (322196)Instructions burned: 158 (million)
% 4.10/1.51 % (322203)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=935518903:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 4.10/1.51 % (322204)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1501054889:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 4.10/1.51 % (322205)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1937879712:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 4.10/1.51 % (322175)Refutation found. Thanks to Tanya!
% 4.10/1.51 % SZS status Unsatisfiable for theBenchmark
% 4.10/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.70 % (322175)------------------------------
% 0.17/1.70 % (322175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (322175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (322175)CaDiCaL version: 2.1.3
% 0.17/1.70 % (322175)Termination reason: Refutation
% 0.17/1.70 % (322175)Time elapsed: 0.563 s
% 0.17/1.70 % (322175)Peak memory usage: 137 MB
% 0.17/1.70 % (322175)Instructions burned: 1484 (million)
% 0.17/1.70 % (322175)------------------------------
% 0.17/1.70 % (322175)------------------------------
% 0.17/1.70 % (322168)Success in time 0.873 s
% 0.17/1.70 % Vampire exiting
%------------------------------------------------------------------------------