TSTP Solution File: SWV763-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV763-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:24:23 EDT 2022
% Result : Unsatisfiable 0.52s 0.61s
% Output : Proof 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 42
% Syntax : Number of formulae : 66 ( 14 unt; 20 typ; 0 def)
% Number of atoms : 297 ( 0 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 455 ( 220 ~; 207 |; 0 &)
% ( 28 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 16 ( 16 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 10 >; 5 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 105 ( 95 !; 0 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
tff(hBOOL_type,type,
hBOOL: $i > $o ).
tff(c_in_type,type,
c_in: ( $i * $i * $i ) > $i ).
tff(tc_nat_type,type,
tc_nat: $i ).
tff(c_Message_OkeysFor_type,type,
c_Message_OkeysFor: $i > $i ).
tff(c_Message_Oparts_type,type,
c_Message_Oparts: $i > $i ).
tff(c_Event_Oknows_type,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(v_evs2_type,type,
v_evs2: $i ).
tff(c_Message_Oagent_OSpy_type,type,
c_Message_Oagent_OSpy: $i ).
tff(v_KAB_type,type,
v_KAB: $i ).
tff(c_Message_OsymKeys_type,type,
c_Message_OsymKeys: $i ).
tff(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
tff(c_Event_Oused_type,type,
c_Event_Oused: $i > $i ).
tff(hAPP_type,type,
hAPP: ( $i * $i ) > $i ).
tff(c_Message_Omsg_OKey_type,type,
c_Message_Omsg_OKey: $i ).
tff(tc_List_Olist_type,type,
tc_List_Olist: $i > $i ).
tff(tc_Event_Oevent_type,type,
tc_Event_Oevent: $i ).
tff(c_NS__Shared__Mirabelle_Ons__shared_type,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(c_Message_Omsg_OCrypt_type,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(c_Message_Omsg_ONonce_type,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(v_NB_type,type,
v_NB: $i ).
tff(1,plain,
( hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
<=> hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tff(3,plain,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
<=> ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
tff(6,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
( hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
<=> hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(rewrite,[status(thm)],]) ).
tff(8,axiom,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(9,plain,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
^ [V_K: $i,V_evs: $i] :
refl(
( ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
<=> ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
<=> ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
<=> ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
^ [V_K: $i,V_evs: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) )
<=> ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ) )),
( ( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) )
<=> ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ) )),
rewrite(
( ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) )
<=> ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ) )),
( ( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) )
<=> ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ) )),
( ( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) )
<=> ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ) )),
rewrite(
( ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) )
<=> ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ) )),
( ( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) )
<=> ( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) )
<=> ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,axiom,
! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
tff(16,plain,
! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ),
inference(modus_ponens,[status(thm)],[16,12]) ).
tff(18,plain,
! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ),
inference(modus_ponens,[status(thm)],[18,11]) ).
tff(20,plain,
( ( ~ ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) )
<=> ( ~ ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
( ( ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) )
<=> ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(22,plain,
( ( ~ ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) )
<=> ( ~ ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ) ),
inference(monotonicity,[status(thm)],[21]) ).
tff(23,plain,
( ( ~ ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) )
<=> ( ~ ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ) ),
inference(transitivity,[status(thm)],[22,20]) ).
tff(24,plain,
( ~ ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(quant_inst,[status(thm)],]) ).
tff(25,plain,
( ~ ! [V_K: $i,V_evs: $i] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) )
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(unit_resolution,[status(thm)],[25,19,9,6,3]) ).
tff(27,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
<=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
inference(rewrite,[status(thm)],]) ).
tff(28,axiom,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
tff(29,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(modus_ponens,[status(thm)],[28,27]) ).
tff(30,plain,
^ [V_H: $i,V_X: $i,V_K: $i] :
refl(
( ( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
<=> ( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) ) )),
inference(bind,[status(th)],]) ).
tff(31,plain,
( ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
<=> ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) ) ),
inference(quant_intro,[status(thm)],[30]) ).
tff(32,plain,
( ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
<=> ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(33,plain,
^ [V_H: $i,V_X: $i,V_K: $i] :
rewrite(
( ( hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) )
<=> ( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) ) )),
inference(bind,[status(th)],]) ).
tff(34,plain,
( ! [V_H: $i,V_X: $i,V_K: $i] :
( hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) )
<=> ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) ) ),
inference(quant_intro,[status(thm)],[33]) ).
tff(35,axiom,
! [V_H: $i,V_X: $i,V_K: $i] :
( hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
tff(36,plain,
! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) ),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) ),
inference(modus_ponens,[status(thm)],[36,32]) ).
tff(38,plain,
! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) ),
inference(skolemize,[status(sab)],[37]) ).
tff(39,plain,
! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) ),
inference(modus_ponens,[status(thm)],[38,31]) ).
tff(40,plain,
( ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) )
<=> ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(41,plain,
( ( ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) )
<=> ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(42,plain,
( ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) )
<=> ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ) ),
inference(monotonicity,[status(thm)],[41]) ).
tff(43,plain,
( ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) )
<=> ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ) ),
inference(transitivity,[status(thm)],[42,40]) ).
tff(44,plain,
( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(quant_inst,[status(thm)],]) ).
tff(45,plain,
( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)) )
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
$false,
inference(unit_resolution,[status(thm)],[45,39,3,29,26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV763-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Sep 4 07:38:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.52/0.61 % SZS status Unsatisfiable
% 0.52/0.61 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------