%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV815-1 : 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 : n020.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 01:19:34 PM UTC 2026
% Result : Unsatisfiable 6.03s 1.66s
% Output : Refutation 7.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 49
% Syntax : Number of formulae : 169 ( 90 unt; 30 def)
% Number of atoms : 334 ( 76 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 303 ( 138 ~; 159 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 64 ( 64 usr; 47 con; 0-5 aty)
% Number of variables : 149 ( 0 sgn 149 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f396,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2)
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__mp_0) ).
fof(f500,axiom,
! [X0,X1] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X0,X1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__spies__takeWhile__mono_0) ).
fof(f590,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(f591,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),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_OMPair(c_Message_Omsg_ONonce(X3),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,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X0)))))))),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))
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS5__lemma_0) ).
fof(f605,axiom,
! [X0] : c_Event_Oknows(c_Message_Oagent_OSpy,X0) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X0,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__evs__rev_0) ).
fof(f615,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
fof(f637,axiom,
! [X2,X3,X0,X1,X4,X5] :
( X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
fof(f638,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) = X0
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(reorient_equations,[],[f637]) ).
fof(f645,axiom,
! [X0,X1] : X0 = c_List_Orev(c_List_Orev(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__swap_0) ).
fof(f646,plain,
! [X0,X1] : c_List_Orev(c_List_Orev(X0,X1),X1) = X0,
inference(reorient_equations,[],[f645]) ).
fof(f683,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f684,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f685,negated_conjecture,
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_2) ).
fof(f688,negated_conjecture,
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_NA),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_5) ).
fof(f689,negated_conjecture,
~ 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_6) ).
fof(f690,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f691,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f692,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f693,plain,
v_Ka = v_K,
inference(reorient_equations,[],[f692]) ).
fof(f694,negated_conjecture,
v_NB = v_NBa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f695,plain,
v_NBa = v_NB,
inference(reorient_equations,[],[f694]) ).
fof(f696,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_11) ).
fof(f697,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).
fof(f733,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(definition_unfolding,[],[f683,f690]) ).
fof(f734,plain,
~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
inference(definition_unfolding,[],[f684,f691]) ).
fof(f737,plain,
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_NA),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,[],[f688,f693]) ).
fof(f738,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(definition_unfolding,[],[f696,f693,f695,f695,f693,f695,f695]) ).
fof(f739,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(definition_unfolding,[],[f697,f690,f691,f690,f691]) ).
fof(f740,definition,
sF0 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f741,plain,
tc_List_Olist(tc_Event_Oevent) = sF0,
inference(reorient_equations,[],[f740]) ).
fof(f742,plain,
c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,sF0),
inference(definition_folding,[],[f685,f741]) ).
fof(f743,definition,
sF1 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f744,plain,
c_Message_Omsg_ONonce(v_NB) = sF1,
inference(reorient_equations,[],[f743]) ).
fof(f749,definition,
sF4 = c_List_Oset(v_evs5,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f750,plain,
c_List_Oset(v_evs5,tc_Event_Oevent) = sF4,
inference(reorient_equations,[],[f749]) ).
fof(f752,definition,
sF5 = hAPP(c_Public_OshrK,v_Aa),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f753,plain,
hAPP(c_Public_OshrK,v_Aa) = sF5,
inference(reorient_equations,[],[f752]) ).
fof(f754,definition,
sF6 = c_Message_Omsg_ONonce(v_NA),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f755,plain,
c_Message_Omsg_ONonce(v_NA) = sF6,
inference(reorient_equations,[],[f754]) ).
fof(f756,definition,
sF7 = c_Message_Omsg_OAgent(v_Ba),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f757,plain,
c_Message_Omsg_OAgent(v_Ba) = sF7,
inference(reorient_equations,[],[f756]) ).
fof(f758,definition,
sF8 = hAPP(c_Message_Omsg_OKey,v_K),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f759,plain,
hAPP(c_Message_Omsg_OKey,v_K) = sF8,
inference(reorient_equations,[],[f758]) ).
fof(f760,definition,
sF9 = c_Message_Omsg_OMPair(sF8,v_X),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f761,plain,
c_Message_Omsg_OMPair(sF8,v_X) = sF9,
inference(reorient_equations,[],[f760]) ).
fof(f762,definition,
sF10 = c_Message_Omsg_OMPair(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f763,plain,
c_Message_Omsg_OMPair(sF7,sF9) = sF10,
inference(reorient_equations,[],[f762]) ).
fof(f764,definition,
sF11 = c_Message_Omsg_OMPair(sF6,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f765,plain,
c_Message_Omsg_OMPair(sF6,sF10) = sF11,
inference(reorient_equations,[],[f764]) ).
fof(f766,definition,
sF12 = c_Message_Omsg_OCrypt(sF5,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f767,plain,
c_Message_Omsg_OCrypt(sF5,sF11) = sF12,
inference(reorient_equations,[],[f766]) ).
fof(f768,definition,
sF13 = c_Event_Oevent_OSays(v_S,v_Aa,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f769,plain,
c_Event_Oevent_OSays(v_S,v_Aa,sF12) = sF13,
inference(reorient_equations,[],[f768]) ).
fof(f770,plain,
c_in(sF13,sF4,tc_Event_Oevent),
inference(definition_folding,[],[f737,f750,f769,f767,f765,f763,f761,f759,f757,f755,f753]) ).
fof(f771,definition,
sF14 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f772,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5) = sF14,
inference(reorient_equations,[],[f771]) ).
fof(f773,definition,
sF15 = c_Message_Oanalz(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f774,plain,
c_Message_Oanalz(sF14) = sF15,
inference(reorient_equations,[],[f773]) ).
fof(f775,plain,
~ c_in(sF8,sF15,tc_Message_Omsg),
inference(definition_folding,[],[f689,f774,f772,f759]) ).
fof(f776,definition,
sF16 = c_Message_Omsg_OMPair(sF1,sF1),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f777,plain,
c_Message_Omsg_OMPair(sF1,sF1) = sF16,
inference(reorient_equations,[],[f776]) ).
fof(f778,definition,
sF17 = c_Message_Omsg_OCrypt(v_K,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f779,plain,
c_Message_Omsg_OCrypt(v_K,sF16) = sF17,
inference(reorient_equations,[],[f778]) ).
fof(f780,definition,
sF18 = c_fequal(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f781,plain,
c_fequal(tc_Event_Oevent) = sF18,
inference(reorient_equations,[],[f780]) ).
fof(f782,definition,
sF19 = c_Event_Oevent_OSays(v_Aa,v_Ba,sF17),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f783,plain,
c_Event_Oevent_OSays(v_Aa,v_Ba,sF17) = sF19,
inference(reorient_equations,[],[f782]) ).
fof(f784,definition,
sF20 = c_COMBC(sF18,sF19,tc_Event_Oevent,tc_Event_Oevent,tc_bool),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f785,plain,
c_COMBC(sF18,sF19,tc_Event_Oevent,tc_Event_Oevent,tc_bool) = sF20,
inference(reorient_equations,[],[f784]) ).
fof(f786,definition,
sF21 = c_COMBB(c_Not,sF20,tc_bool,tc_bool,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f787,plain,
c_COMBB(c_Not,sF20,tc_bool,tc_bool,tc_Event_Oevent) = sF21,
inference(reorient_equations,[],[f786]) ).
fof(f788,definition,
sF22 = c_List_Orev(v_evs5,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f789,plain,
c_List_Orev(v_evs5,tc_Event_Oevent) = sF22,
inference(reorient_equations,[],[f788]) ).
fof(f790,definition,
sF23 = c_List_OtakeWhile(sF21,sF22,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f791,plain,
c_List_OtakeWhile(sF21,sF22,tc_Event_Oevent) = sF23,
inference(reorient_equations,[],[f790]) ).
fof(f792,definition,
sF24 = c_Event_Oknows(c_Message_Oagent_OSpy,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f793,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,sF23) = sF24,
inference(reorient_equations,[],[f792]) ).
fof(f794,definition,
sF25 = c_Message_Oparts(sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f795,plain,
c_Message_Oparts(sF24) = sF25,
inference(reorient_equations,[],[f794]) ).
fof(f796,plain,
c_in(sF17,sF25,tc_Message_Omsg),
inference(definition_folding,[],[f738,f795,f793,f791,f789,f787,f785,f783,f779,f777,f744,f744,f781,f779,f777,f744,f744]) ).
fof(f797,plain,
( ~ c_in(sF17,sF25,tc_Message_Omsg)
| ~ c_in(sF19,sF4,tc_Event_Oevent) ),
inference(definition_folding,[],[f739,f750,f783,f779,f777,f744,f744,f795,f793,f791,f789,f787,f785,f783,f779,f777,f744,f744,f781,f779,f777,f744,f744]) ).
fof(f803,definition,
( spl26_1
<=> c_in(sF19,sF4,tc_Event_Oevent) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f805,plain,
( ~ c_in(sF19,sF4,tc_Event_Oevent)
| spl26_1 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f807,definition,
( spl26_2
<=> c_in(sF17,sF25,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f808,plain,
( c_in(sF17,sF25,tc_Message_Omsg)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f810,plain,
( ~ spl26_1
| ~ spl26_2 ),
inference(avatar_split_clause,[],[f797,f807,f803]) ).
fof(f811,plain,
spl26_2,
inference(avatar_split_clause,[],[f796,f807]) ).
fof(f867,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,sF0)
| 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,[],[f590,f741]) ).
fof(f868,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(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X0)))))))),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_OMPair(c_Message_Omsg_ONonce(X3),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_OMPair(c_Message_Omsg_ONonce(X3),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,sF0)
| 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) ),
inference(backward_demodulation,[],[f591,f741]) ).
fof(f872,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) = X0
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,sF0) ),
inference(backward_demodulation,[],[f638,f741]) ).
fof(f877,plain,
sF10 = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),sF9),
inference(forward_demodulation,[],[f763,f757]) ).
fof(f878,plain,
sF11 = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),sF10),
inference(forward_demodulation,[],[f765,f755]) ).
fof(f879,plain,
c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)) = sF16,
inference(forward_demodulation,[],[f777,f744]) ).
fof(f956,plain,
v_evs5 = c_List_Orev(sF22,tc_Event_Oevent),
inference(superposition,[],[f646,f789]) ).
fof(f1050,plain,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),sF4,tc_Event_Oevent)
| c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg) ),
inference(superposition,[],[f615,f750]) ).
fof(f1051,plain,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),sF4,tc_Event_Oevent)
| c_in(X2,c_Message_Oparts(sF14),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f1050,f772]) ).
fof(f1053,plain,
( ~ c_in(sF13,sF4,tc_Event_Oevent)
| c_in(sF12,c_Message_Oparts(sF14),tc_Message_Omsg) ),
inference(superposition,[],[f1051,f769]) ).
fof(f1056,plain,
c_in(sF12,c_Message_Oparts(sF14),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f1053,f770]) ).
fof(f1120,definition,
( spl26_15
<=> c_in(sF17,c_Message_Oparts(sF14),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl26_15])],[avatar_definition]) ).
fof(f1121,plain,
( c_in(sF17,c_Message_Oparts(sF14),tc_Message_Omsg)
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1122,plain,
( ~ c_in(sF17,c_Message_Oparts(sF14),tc_Message_Omsg)
| spl26_15 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1129,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent))),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(resolution,[],[f396,f500]) ).
fof(f1130,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,sF23)),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,sF22)),tc_Message_Omsg) ),
inference(superposition,[],[f1129,f791]) ).
fof(f1132,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(sF24),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,sF22)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f1130,f793]) ).
fof(f1133,plain,
! [X0] :
( c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,sF22)),tc_Message_Omsg)
| ~ c_in(X0,sF25,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f1132,f795]) ).
fof(f1156,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(v_Aa))) = X3
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,sF0) ),
inference(superposition,[],[f872,f753]) ).
fof(f1163,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(v_Aa))) = X3
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,sF0) ),
inference(forward_subsumption_resolution,[],[f1156,f733]) ).
fof(f1165,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF8,X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OAgent(v_Aa))) = X2
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,sF0) ),
inference(superposition,[],[f1163,f759]) ).
fof(f1686,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5) = c_Event_Oknows(c_Message_Oagent_OSpy,sF22),
inference(superposition,[],[f605,f956]) ).
fof(f1704,plain,
sF14 = c_Event_Oknows(c_Message_Oagent_OSpy,sF22),
inference(forward_demodulation,[],[f1686,f772]) ).
fof(f1707,plain,
! [X0] :
( c_in(X0,c_Message_Oparts(sF14),tc_Message_Omsg)
| ~ c_in(X0,sF25,tc_Message_Omsg) ),
inference(backward_demodulation,[],[f1133,f1704]) ).
fof(f1742,plain,
( ~ c_in(sF17,sF25,tc_Message_Omsg)
| spl26_15 ),
inference(resolution,[],[f1707,f1122]) ).
fof(f1743,plain,
( $false
| ~ spl26_2
| spl26_15 ),
inference(forward_subsumption_resolution,[],[f1742,f808]) ).
fof(f1744,plain,
( ~ spl26_2
| spl26_15 ),
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f1767,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF9))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OAgent(v_Aa)))
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,sF0) ),
inference(superposition,[],[f1165,f761]) ).
fof(f1775,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF9))),c_Message_Oparts(sF14),tc_Message_Omsg)
| v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OAgent(v_Aa)))
| ~ c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,sF0) ),
inference(superposition,[],[f1767,f772]) ).
fof(f1778,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF9))),c_Message_Oparts(sF14),tc_Message_Omsg)
| v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OAgent(v_Aa))) ),
inference(forward_subsumption_resolution,[],[f1775,f742]) ).
fof(f1780,definition,
( spl26_36
<=> v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OAgent(v_Aa))) ),
introduced(definition,[new_symbols(definition,[spl26_36])],[avatar_definition]) ).
fof(f1781,plain,
( v_X != c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OAgent(v_Aa)))
| spl26_36 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f1782,plain,
( v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OAgent(v_Aa)))
| ~ spl26_36 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f1789,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF10)),c_Message_Oparts(sF14),tc_Message_Omsg)
| v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OAgent(v_Aa))) ),
inference(superposition,[],[f1778,f877]) ).
fof(f1842,definition,
( spl26_43
<=> ! [X1] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),sF4,tc_Event_Oevent) ) ),
introduced(definition,[new_symbols(definition,[spl26_43])],[avatar_definition]) ).
fof(f1843,plain,
( ! [X1] :
( c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),sF4,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(sF14),tc_Message_Omsg) )
| ~ spl26_43 ),
inference(avatar_component_clause,[],[f1842]) ).
fof(f1848,plain,
( ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF10)),c_Message_Oparts(sF14),tc_Message_Omsg)
| spl26_36 ),
inference(forward_subsumption_resolution,[],[f1789,f1781]) ).
fof(f1851,plain,
( ~ c_in(c_Message_Omsg_OCrypt(sF5,sF11),c_Message_Oparts(sF14),tc_Message_Omsg)
| spl26_36 ),
inference(superposition,[],[f1848,f878]) ).
fof(f1852,plain,
( ~ c_in(sF12,c_Message_Oparts(sF14),tc_Message_Omsg)
| spl26_36 ),
inference(forward_demodulation,[],[f1851,f767]) ).
fof(f1854,plain,
( $false
| spl26_36 ),
inference(forward_subsumption_resolution,[],[f1852,f1056]) ).
fof(f1855,plain,
spl26_36,
inference(avatar_contradiction_clause,[],[f1854]) ).
fof(f1882,plain,
( c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,sF16)),sF4,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,sF16),c_Message_Oparts(sF14),tc_Message_Omsg)
| ~ spl26_43 ),
inference(superposition,[],[f1843,f879]) ).
fof(f1883,plain,
( c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,sF17),sF4,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,sF16),c_Message_Oparts(sF14),tc_Message_Omsg)
| ~ spl26_43 ),
inference(forward_demodulation,[],[f1882,f779]) ).
fof(f1884,plain,
( c_in(sF19,sF4,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,sF16),c_Message_Oparts(sF14),tc_Message_Omsg)
| ~ spl26_43 ),
inference(forward_demodulation,[],[f1883,f783]) ).
fof(f1885,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,sF16),c_Message_Oparts(sF14),tc_Message_Omsg)
| spl26_1
| ~ spl26_43 ),
inference(forward_subsumption_resolution,[],[f1884,f805]) ).
fof(f1886,plain,
( ~ c_in(sF17,c_Message_Oparts(sF14),tc_Message_Omsg)
| spl26_1
| ~ spl26_43 ),
inference(forward_demodulation,[],[f1885,f779]) ).
fof(f1887,plain,
( $false
| spl26_1
| ~ spl26_15
| ~ spl26_43 ),
inference(forward_subsumption_resolution,[],[f1886,f1121]) ).
fof(f1888,plain,
( spl26_1
| ~ spl26_15
| ~ spl26_43 ),
inference(avatar_contradiction_clause,[],[f1887]) ).
fof(f2604,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,sF0)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X1,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,sF0)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X3,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[],[f867,f868]) ).
fof(f2628,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,sF0)
| c_in(c_Event_Oevent_OSays(X1,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X3,c_Event_Obad,tc_Message_Oagent) ),
inference(duplicate_literal_removal,[],[f2604]) ).
fof(f2636,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,sF0)
| c_in(c_Event_Oevent_OSays(v_Aa,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[],[f2628,f753]) ).
fof(f2654,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,sF0)
| c_in(c_Event_Oevent_OSays(v_Aa,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_subsumption_resolution,[],[f2636,f733]) ).
fof(f2669,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(sF14),tc_Message_Omsg)
| ~ c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,sF0)
| c_in(c_Event_Oevent_OSays(v_Aa,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(sF14),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[],[f2654,f772]) ).
fof(f2674,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Aa,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(sF14),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_subsumption_resolution,[],[f2669,f742]) ).
fof(f2677,plain,
! [X2,X3,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_Aa,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3)))),sF4,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(sF14),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(sF14),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f2674,f750]) ).
fof(f2678,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Aa,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3)))),sF4,tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),sF15,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f2677,f774]) ).
fof(f2685,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Aa,X1,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),sF4,tc_Event_Oevent)
| c_in(sF8,sF15,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[],[f2678,f759]) ).
fof(f2687,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(sF8,c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Aa,X1,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),sF4,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_subsumption_resolution,[],[f2685,f775]) ).
fof(f2703,plain,
( ! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(sF8,v_X)))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),sF4,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) )
| ~ spl26_36 ),
inference(superposition,[],[f2687,f1782]) ).
fof(f2704,plain,
( ! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(sF8,v_X)))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),sF4,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(sF14),tc_Message_Omsg) )
| ~ spl26_36 ),
inference(forward_subsumption_resolution,[],[f2703,f734]) ).
fof(f2706,plain,
( ! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),sF9))),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),sF4,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(sF14),tc_Message_Omsg) )
| ~ spl26_36 ),
inference(forward_demodulation,[],[f2704,f761]) ).
fof(f2707,plain,
( ! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF10)),c_Message_Oparts(sF14),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),sF4,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(sF14),tc_Message_Omsg) )
| ~ spl26_36 ),
inference(forward_demodulation,[],[f2706,f877]) ).
fof(f2709,definition,
( spl26_51
<=> ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF10)),c_Message_Oparts(sF14),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl26_51])],[avatar_definition]) ).
fof(f2710,plain,
( ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF10)),c_Message_Oparts(sF14),tc_Message_Omsg)
| ~ spl26_51 ),
inference(avatar_component_clause,[],[f2709]) ).
fof(f2711,plain,
( spl26_43
| spl26_51
| ~ spl26_36 ),
inference(avatar_split_clause,[],[f2707,f1780,f2709,f1842]) ).
fof(f2716,plain,
( ~ c_in(c_Message_Omsg_OCrypt(sF5,sF11),c_Message_Oparts(sF14),tc_Message_Omsg)
| ~ spl26_51 ),
inference(superposition,[],[f2710,f878]) ).
fof(f2717,plain,
( ~ c_in(sF12,c_Message_Oparts(sF14),tc_Message_Omsg)
| ~ spl26_51 ),
inference(forward_demodulation,[],[f2716,f767]) ).
fof(f2719,plain,
( $false
| ~ spl26_51 ),
inference(forward_subsumption_resolution,[],[f2717,f1056]) ).
fof(f2720,plain,
~ spl26_51,
inference(avatar_contradiction_clause,[],[f2719]) ).
cnf(s1,plain,
( ~ spl26_1
| ~ spl26_2 ),
inference(sat_conversion,[],[f810]) ).
cnf(s2,plain,
spl26_2,
inference(sat_conversion,[],[f811]) ).
cnf(s22,plain,
( ~ spl26_2
| spl26_15 ),
inference(sat_conversion,[],[f1744]) ).
cnf(s30,plain,
spl26_36,
inference(sat_conversion,[],[f1855]) ).
cnf(s31,plain,
( spl26_1
| ~ spl26_15
| ~ spl26_43 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s38,plain,
( ~ spl26_36
| spl26_43
| spl26_51 ),
inference(sat_conversion,[],[f2711]) ).
cnf(s39,plain,
~ spl26_51,
inference(sat_conversion,[],[f2720]) ).
cnf(s40,plain,
( ~ spl26_36
| spl26_43 ),
inference(rat,[],[s38,s39]) ).
cnf(s41,plain,
spl26_43,
inference(rat,[],[s40,s30]) ).
cnf(s47,plain,
spl26_15,
inference(rat,[],[s22,s2]) ).
cnf(s48,plain,
spl26_1,
inference(rat,[],[s31,s41,s47]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s1,s2,s48]) ).
fof(f2721,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV815-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 12:39:22 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 6.03/1.66 % (137854)Input is clausal, will run a generic CNF schedule.
% 6.03/1.66 % (137861)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2058273937:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.03/1.66 % (137859)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=443073614:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.03/1.66 % (137860)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3717962858:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.03/1.66 % (137862)lrs+10_1_sil=8000:sp=occurrence:random_seed=986687396:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.03/1.66 % (137864)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=677697708:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.03/1.66 % (137863)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1111640560:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.03/1.66 % (137865)dis-21_1_sil=8000:lcm=predicate:random_seed=487368178: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)
% 6.03/1.66 % (137862)Instruction limit reached!
% 6.03/1.66 % (137862)------------------------------
% 6.03/1.66 % (137862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137862)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137862)Termination reason: Instruction limit
% 6.03/1.66 % (137862)Termination phase: Saturation
% 6.03/1.66 % (137862)Time elapsed: 0.069 s
% 6.03/1.66 % (137862)Peak memory usage: 89 MB
% 6.03/1.66 % (137862)Instructions burned: 107 (million)
% 6.03/1.66 % (137865)Instruction limit reached!
% 6.03/1.66 % (137865)------------------------------
% 6.03/1.66 % (137865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137865)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137865)Termination reason: Instruction limit
% 6.03/1.66 % (137865)Termination phase: Saturation
% 6.03/1.66 % (137865)Time elapsed: 0.070 s
% 6.03/1.66 % (137865)Peak memory usage: 89 MB
% 6.03/1.66 % (137865)Instructions burned: 117 (million)
% 6.03/1.66 % (137863)Instruction limit reached!
% 6.03/1.66 % (137863)------------------------------
% 6.03/1.66 % (137863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137863)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137863)Termination reason: Instruction limit
% 6.03/1.66 % (137863)Termination phase: Saturation
% 6.03/1.66 % (137863)Time elapsed: 0.075 s
% 6.03/1.66 % (137863)Peak memory usage: 89 MB
% 6.03/1.66 % (137863)Instructions burned: 114 (million)
% 6.03/1.66 % (137864)Instruction limit reached!
% 6.03/1.66 % (137864)------------------------------
% 6.03/1.66 % (137864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137864)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137864)Termination reason: Instruction limit
% 6.03/1.66 % (137864)Termination phase: Saturation
% 6.03/1.66 % (137864)Time elapsed: 0.118 s
% 6.03/1.66 % (137864)Peak memory usage: 90 MB
% 6.03/1.66 % (137864)Instructions burned: 181 (million)
% 6.03/1.66 % (137875)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=116763616:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.03/1.66 % (137873)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=3678808758:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.03/1.66 % (137874)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2546251236: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)
% 6.03/1.66 % (137876)lrs+10_64_to=lpo:sil=8000:random_seed=2549357754:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.03/1.66 % (137873)Instruction limit reached!
% 6.03/1.66 % (137873)------------------------------
% 6.03/1.66 % (137873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137873)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137873)Termination reason: Instruction limit
% 6.03/1.66 % (137873)Termination phase: Saturation
% 6.03/1.66 % (137873)Time elapsed: 0.089 s
% 6.03/1.66 % (137873)Peak memory usage: 90 MB
% 6.03/1.66 % (137873)Instructions burned: 144 (million)
% 6.03/1.66 % (137874)Instruction limit reached!
% 6.03/1.66 % (137874)------------------------------
% 6.03/1.66 % (137874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137874)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137874)Termination reason: Instruction limit
% 6.03/1.66 % (137874)Termination phase: Saturation
% 6.03/1.66 % (137874)Time elapsed: 0.103 s
% 6.03/1.66 % (137874)Peak memory usage: 91 MB
% 6.03/1.66 % (137874)Instructions burned: 190 (million)
% 6.03/1.66 % (137875)Instruction limit reached!
% 6.03/1.66 % (137875)------------------------------
% 6.03/1.66 % (137875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137875)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137875)Termination reason: Instruction limit
% 6.03/1.66 % (137875)Termination phase: Saturation
% 6.03/1.66 % (137875)Time elapsed: 0.123 s
% 6.03/1.66 % (137875)Peak memory usage: 91 MB
% 6.03/1.66 % (137875)Instructions burned: 220 (million)
% 6.03/1.66 % (137876)Instruction limit reached!
% 6.03/1.66 % (137876)------------------------------
% 6.03/1.66 % (137876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137876)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137876)Termination reason: Instruction limit
% 6.03/1.66 % (137876)Termination phase: Saturation
% 6.03/1.66 % (137876)Time elapsed: 0.080 s
% 6.03/1.66 % (137876)Peak memory usage: 90 MB
% 6.03/1.66 % (137876)Instructions burned: 128 (million)
% 6.03/1.66 % (137881)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=845598480:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.03/1.66 % (137882)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3252270435:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.03/1.66 % (137883)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1580516506:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.03/1.66 % (137884)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=1705970152:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.03/1.66 % (137884)Instruction limit reached!
% 6.03/1.66 % (137884)------------------------------
% 6.03/1.66 % (137884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137884)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137884)Termination reason: Instruction limit
% 6.03/1.66 % (137884)Termination phase: Saturation
% 6.03/1.66 % (137884)Time elapsed: 0.058 s
% 6.03/1.66 % (137884)Peak memory usage: 90 MB
% 6.03/1.66 % (137884)Instructions burned: 107 (million)
% 6.03/1.66 % (137881)Instruction limit reached!
% 6.03/1.66 % (137881)------------------------------
% 6.03/1.66 % (137881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137881)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137881)Termination reason: Instruction limit
% 6.03/1.66 % (137881)Termination phase: Saturation
% 6.03/1.66 % (137881)Time elapsed: 0.111 s
% 6.03/1.66 % (137881)Peak memory usage: 90 MB
% 6.03/1.66 % (137881)Instructions burned: 196 (million)
% 6.03/1.66 % (137882)Instruction limit reached!
% 6.03/1.66 % (137882)------------------------------
% 6.03/1.66 % (137882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137882)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137882)Termination reason: Instruction limit
% 6.03/1.66 % (137882)Termination phase: Saturation
% 6.03/1.66 % (137882)Time elapsed: 0.101 s
% 6.03/1.66 % (137882)Peak memory usage: 91 MB
% 6.03/1.66 % (137882)Instructions burned: 157 (million)
% 6.03/1.66 % (137889)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2191175421:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.03/1.66 % (137861)First to succeed.
% 6.03/1.66 % (137861)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-137854"
% 6.03/1.66 % (137890)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2472118915:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.03/1.66 % (137891)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=470024048:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.03/1.66 % (137889)Instruction limit reached!
% 6.03/1.66 % (137889)------------------------------
% 6.03/1.66 % (137889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.66 % (137889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.66 % (137889)CaDiCaL version: 2.1.3
% 6.03/1.66 % (137889)Termination reason: Instruction limit
% 6.03/1.66 % (137889)Termination phase: Saturation
% 6.03/1.66 % (137889)Time elapsed: 0.069 s
% 6.03/1.66 % (137889)Peak memory usage: 90 MB
% 6.03/1.66 % (137889)Instructions burned: 107 (million)
% 6.03/1.66 % (137860)Also succeeded, but the first one will report.
% 6.03/1.66 % (137861)Refutation found. Thanks to Tanya!
% 6.03/1.66 % SZS status Unsatisfiable for theBenchmark
% 6.03/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 7.52/1.86 % (137861)------------------------------
% 7.52/1.86 % (137861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/1.86 % (137861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/1.86 % (137861)CaDiCaL version: 2.1.3
% 7.52/1.86 % (137861)Termination reason: Refutation
% 7.52/1.86 % (137861)Time elapsed: 0.698 s
% 7.52/1.86 % (137861)Peak memory usage: 140 MB
% 7.52/1.86 % (137861)Instructions burned: 1915 (million)
% 7.52/1.86 % (137861)------------------------------
% 7.52/1.86 % (137861)------------------------------
% 7.52/1.86 % (137854)Success in time 1.005 s
% 7.52/1.86 % Vampire exiting
%------------------------------------------------------------------------------