%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV758-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:09:03 AM UTC 2026
% Result : Unsatisfiable 41.45s 6.40s
% Output : CNFRefutation 41.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 20 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 38 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 59 ( 10 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_6,axiom,
~ 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('theBenchmark.p',cls_conjecture_6) ).
cnf(c_95,plain,
~ 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)),
inference(clausify,[status(thm)],[cls_conjecture_6]) ).
fof(cls_conjecture_5,axiom,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(c_96,plain,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(clausify,[status(thm)],[cls_conjecture_5]) ).
fof(cls_conjecture_4,axiom,
~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_97,plain,
~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
fof(cls_conjecture_3,axiom,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_98,plain,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
fof(cls_conjecture_2,axiom,
! [VAR_0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(VAR_0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_99,plain,
~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(A,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_conjecture_1,axiom,
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('theBenchmark.p',cls_conjecture_1) ).
cnf(c_100,plain,
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)),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_0,axiom,
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('theBenchmark.p',cls_conjecture_0) ).
cnf(c_101,plain,
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)),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_mem__def_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ hBOOL(c_in(VAR_1,VAR_0,VAR_2))
| hBOOL(hAPP(VAR_0,VAR_1)) ),
file('theBenchmark.p',cls_mem__def_0) ).
cnf(c_120,plain,
( ~ hBOOL(c_in(B,A,C))
| hBOOL(hAPP(A,B)) ),
inference(clausify,[status(thm)],[cls_mem__def_0]) ).
fof(cls_mem__def_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ hBOOL(hAPP(VAR_1,VAR_0))
| hBOOL(c_in(VAR_0,VAR_1,VAR_2)) ),
file('theBenchmark.p',cls_mem__def_1) ).
cnf(c_121,plain,
( ~ hBOOL(hAPP(B,A))
| hBOOL(c_in(A,B,C)) ),
inference(clausify,[status(thm)],[cls_mem__def_1]) ).
fof(cls_A__trusts__NS2_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,VAR_0),c_Message_Omsg_OMPair(VAR_1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,VAR_3),VAR_4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_5)),tc_Message_Omsg))
| hBOOL(c_in(VAR_0,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(VAR_5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,VAR_0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,VAR_0),c_Message_Omsg_OMPair(VAR_1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,VAR_3),VAR_4))))),c_List_Oset(VAR_5,tc_Event_Oevent),tc_Event_Oevent)) ),
file('theBenchmark.p',cls_A__trusts__NS2_0) ).
cnf(c_158,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),E)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,F)),tc_Message_Omsg))
| hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(F,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),E))))),c_List_Oset(F,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(clausify,[status(thm)],[cls_A__trusts__NS2_0]) ).
fof(cls_A__trusts__NS4__lemma_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6] :
( ~ hBOOL(c_in(VAR_4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,VAR_2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_4)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,VAR_1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,VAR_1),c_Message_Omsg_OMPair(VAR_5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,VAR_2),VAR_6))))),c_List_Oset(VAR_4,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(VAR_2,c_Message_Omsg_ONonce(VAR_3)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_4)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OSays(VAR_0,VAR_1,c_Message_Omsg_OCrypt(VAR_2,c_Message_Omsg_ONonce(VAR_3))),c_List_Oset(VAR_4,tc_Event_Oevent),tc_Event_Oevent)) ),
file('theBenchmark.p',cls_A__trusts__NS4__lemma_0) ).
cnf(c_173,plain,
( ~ hBOOL(c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),V6))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(clausify,[status(thm)],[cls_A__trusts__NS4__lemma_0]) ).
fof(cls_Spy__not__see__encrypted__key_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,VAR_3,c_Message_Omsg_OCrypt(VAR_5,c_Message_Omsg_OMPair(VAR_4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,VAR_0),VAR_6))))),c_List_Oset(VAR_1,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(VAR_4,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(VAR_0,VAR_4,VAR_1),hAPP(c_Message_Omsg_OKey,VAR_0)))),c_List_Oset(VAR_1,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(VAR_3,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(VAR_2,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(VAR_1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,VAR_0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_1)),tc_Message_Omsg)) ),
file('theBenchmark.p',cls_Spy__not__see__encrypted__key_0) ).
cnf(c_181,plain,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,D,c_Message_Omsg_OCrypt(F,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),V6))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(A,E,B),hAPP(c_Message_Omsg_OKey,A)))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(D,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(C,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)) ),
inference(clausify,[status(thm)],[cls_Spy__not__see__encrypted__key_0]) ).
cnf(c_857,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
inference(resolve,[status(thm)],[c_120,c_96]) ).
cnf(c_12003,plain,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(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(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)) ),
inference(resolve,[status(thm)],[c_158,c_100]) ).
cnf(c_12004,plain,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| 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)) ),
inference(resolve,[status(thm)],[c_96,c_12003]) ).
cnf(c_867,plain,
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)),
inference(resolve,[status(thm)],[c_98,c_12004]) ).
cnf(c_3775,plain,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,A)),
inference(resolve,[status(thm)],[c_857,c_121]) ).
cnf(c_12005,plain,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(v_K,v_NA,v_evs),hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))
| ~ 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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(resolve,[status(thm)],[c_867,c_181]) ).
cnf(c_12006,plain,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(v_K,v_NA,v_evs),hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))
| ~ 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(resolve,[status(thm)],[c_3775,c_12005]) ).
cnf(c_12007,plain,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(v_K,v_NA,v_evs),hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ 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(resolve,[status(thm)],[c_97,c_12006]) ).
cnf(c_12008,plain,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(v_K,v_NA,v_evs),hAPP(c_Message_Omsg_OKey,v_K)))),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(resolve,[status(thm)],[c_98,c_12007]) ).
cnf(c_11999,plain,
~ 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(resolve,[status(thm)],[c_99,c_12008]) ).
cnf(c_12009,plain,
( ~ 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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),D))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(resolve,[status(thm)],[c_173,c_101]) ).
cnf(c_12010,plain,
( ~ 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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| 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)) ),
inference(resolve,[status(thm)],[c_12009,c_867]) ).
cnf(c_12011,plain,
( 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))
| 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)) ),
inference(resolve,[status(thm)],[c_12010,c_3775]) ).
cnf(c_12012,plain,
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(resolve,[status(thm)],[c_95,c_12011]) ).
cnf(c_12002,plain,
$false,
inference(resolve,[status(thm)],[c_11999,c_12012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV758-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 14:58:15 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.40 % Process 140495 was started by sandbox2 on n015,
% 0.13/0.40 % Sat Sep 26 14:58:15 2026
% 0.13/0.40 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.42
% 0.13/0.42 % From the command line: assign(max_seconds, 300).
% 41.45/6.40
% 41.45/6.40 % given #500 (I,wt=24): 717 -class_Lattices_Oboolean__algebra(A) | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(A),A) = c_Orderings_Obot__class_Obot(A) # tptp_name(cls_compl__top__eq_0) # clausal_fof(1). [assumption].
% 41.45/6.40
% 41.45/6.40 % given #1000 (F,wt=27): 7242 c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),A,tc_fun(B,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). [para(540(a,1),7167(a,1))].
% 41.45/6.40
% 41.45/6.40 % SZS status Unsatisfiable for theBenchmark
% 41.45/6.40
% 41.45/6.40 % Proof 1 at 5.12 (+ 0.79) seconds.
% 41.45/6.40 % Length of proof is 17.
% 41.45/6.40 % Level of proof is 4.
% 41.45/6.40 % Maximum clause weight is 120.000.
% 41.45/6.40 % Given clauses 1152.
% 41.45/6.40
% 41.45/6.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------