%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV758-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.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 : Tue May 5 05:27:20 PM UTC 2026
% Result : Unsatisfiable 4.13s 3.26s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 52 ( 27 unt; 11 nHn; 46 RR)
% Number of literals : 109 ( 5 equ; 54 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 16 con; 0-4 aty)
% Number of variables : 98 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_parts_OSnd_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
cnf(cls_parts_OInj_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
cnf(cls_parts_OBody_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_cert__A__form_1,axiom,
( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
| hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
cnf(cls_conjecture_5,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_3,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_parts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__idem_0) ).
cnf(cls_secrecy__lemma_0,axiom,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X1,X3,X2),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_secrecy__lemma_0) ).
cnf(cls_conjecture_4,negated_conjecture,
~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_B__trusts__NS3_0,axiom,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X1,X2,X3,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_B__trusts__NS3_0) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_A__trusts__NS4__lemma_0,axiom,
( hBOOL(c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS4__lemma_0) ).
cnf(cls_A__trusts__NS2_0,axiom,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
cnf(cls_conjecture_6,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_0_18,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
cls_parts_OSnd_0 ).
cnf(c_0_19,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
cls_parts_OInj_0 ).
cnf(c_0_20,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
cls_parts_OBody_0 ).
cnf(c_0_21,negated_conjecture,
hBOOL(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)),
cls_conjecture_1 ).
cnf(c_0_22,axiom,
( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
| hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)) ),
cls_cert__A__form_1 ).
cnf(c_0_23,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
cls_conjecture_5 ).
cnf(c_0_24,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
cls_conjecture_3 ).
cnf(c_0_25,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
cls_mem__def_0 ).
cnf(c_0_26,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
hBOOL(c_in(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)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0 ).
cnf(c_0_29,axiom,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X1,X3,X2),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
cls_secrecy__lemma_0 ).
cnf(c_0_30,negated_conjecture,
c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))) = v_X,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_23])]),c_0_24]) ).
cnf(c_0_31,negated_conjecture,
~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
cls_conjecture_4 ).
cnf(c_0_32,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_33,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_34,axiom,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X1,X2,X3,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)) ),
cls_B__trusts__NS3_0 ).
cnf(c_0_35,negated_conjecture,
hBOOL(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)),
cls_conjecture_0 ).
cnf(c_0_36,negated_conjecture,
hBOOL(c_in(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)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_37,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
cls_conjecture_2 ).
cnf(c_0_38,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(v_K,X1,X2),hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_24]) ).
cnf(c_0_39,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X1)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,axiom,
( hBOOL(c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
cls_A__trusts__NS4__lemma_0 ).
cnf(c_0_41,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(v_A,v_B,v_K,X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_31]) ).
cnf(c_0_42,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
inference(spm,[status(thm)],[c_0_25,c_0_35]) ).
cnf(c_0_43,negated_conjecture,
hBOOL(c_in(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)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_36]),c_0_28]) ).
cnf(c_0_44,negated_conjecture,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_45,axiom,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)) ),
cls_A__trusts__NS2_0 ).
cnf(c_0_46,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
cls_conjecture_6 ).
cnf(c_0_47,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X1))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
hBOOL(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)),X1)),
inference(spm,[status(thm)],[c_0_32,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
hBOOL(c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_43]),c_0_28]) ).
cnf(c_0_50,negated_conjecture,
~ hBOOL(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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_21]),c_0_39])]),c_0_24]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]),c_0_39])]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV758-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.11/0.30 % Computer : n026.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue May 5 05:56:08 EDT 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.31 % start to proof: theBenchmark
% 4.13/3.26 % Version : CSE_E---1.7
% 4.13/3.26 % Problem : theBenchmark.p
% 4.13/3.26 % SZS status Unsatisfiable for theBenchmark.p
% 4.13/3.26 % SZS output start CNFRefutation
% See solution above
% 4.13/3.28 % Total time : 2.424s
%------------------------------------------------------------------------------