TSTP Solution File: SWV761-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV761-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 Aug 31 21:48:02 EDT 2023
% Result : Unsatisfiable 12.75s 12.96s
% Output : CNFRefutation 12.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 102
% Syntax : Number of formulae : 149 ( 40 unt; 78 typ; 0 def)
% Number of atoms : 116 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 90 ( 45 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 102 ( 55 >; 47 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 66 ( 66 usr; 23 con; 0-4 aty)
% Number of variables : 139 ( 43 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_23,type,
tc_bool: $i ).
tff(decl_24,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_25,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_26,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_27,type,
hBOOL: $i > $o ).
tff(decl_28,type,
c_Message_Omsg_OHash: $i > $i ).
tff(decl_29,type,
tc_Message_Omsg: $i ).
tff(decl_30,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
c_Message_Oparts: $i > $i ).
tff(decl_32,type,
class_Orderings_Otop: $i > $o ).
tff(decl_33,type,
t_a: $i ).
tff(decl_34,type,
v_x: $i ).
tff(decl_35,type,
c_Public_OpublicKey: $i > $i ).
tff(decl_36,type,
c_Message_OinvKey: $i > $i ).
tff(decl_37,type,
c_Public_OshrK: $i ).
tff(decl_38,type,
tc_Message_Oagent: $i ).
tff(decl_39,type,
tc_nat: $i ).
tff(decl_40,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_43,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_44,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_45,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_46,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_49,type,
c_Message_OHPair: ( $i * $i ) > $i ).
tff(decl_50,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_51,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_52,type,
c_Message_Omsg_OKey: $i ).
tff(decl_53,type,
c_Message_OkeysFor: $i > $i ).
tff(decl_54,type,
c_Message_OsymKeys: $i ).
tff(decl_55,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_56,type,
c_Message_Osynth: $i > $i ).
tff(decl_57,type,
tc_Event_Oevent: $i ).
tff(decl_58,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $i ).
tff(decl_59,type,
c_List_Olists: ( $i * $i ) > $i ).
tff(decl_60,type,
tc_List_Olist: $i > $i ).
tff(decl_61,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_62,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(decl_63,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_64,type,
c_List_Olist__inter: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Event_OinitState: $i > $i ).
tff(decl_66,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_67,type,
c_Event_Oused: $i > $i ).
tff(decl_68,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_69,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_70,type,
c_Message_Oanalz: $i > $i ).
tff(decl_71,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_72,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_74,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_75,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_76,type,
class_HOL_Oord: $i > $o ).
tff(decl_77,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(decl_79,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1: ( $i * $i ) > $i ).
tff(decl_80,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2: ( $i * $i ) > $i ).
tff(decl_81,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
c_List_Olength__unique: ( $i * $i ) > $i ).
tff(decl_83,type,
c_Public_Osko__Public__XNonce__supply1__1__1: $i > $i ).
tff(decl_84,type,
c_Event_Obad: $i ).
tff(decl_85,type,
c_Message_Oagent_OServer: $i ).
tff(decl_86,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
v_evsf: $i ).
tff(decl_91,type,
v_Xa: $i ).
tff(decl_92,type,
v_K: $i ).
tff(decl_93,type,
v_Ba: $i ).
tff(decl_94,type,
v_A: $i ).
tff(decl_95,type,
v_NA: $i ).
tff(decl_96,type,
v_B: $i ).
tff(decl_97,type,
v_X: $i ).
tff(decl_98,type,
v_NB: $i ).
tff(decl_99,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_Fake__parts__insert__in__Un_0,axiom,
( hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_conjecture_4,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,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_knows__Spy__Says_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
cnf(cls_parts__synth_0,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__synth_0) ).
cnf(cls_parts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__analz_0) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_UnE_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| hBOOL(c_in(X1,X4,X3))
| ~ hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).
cnf(cls_not__parts__not__analz_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__parts__not__analz_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_analz__mono__contra_I1_J_0,axiom,
( hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent))),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I1_J_0) ).
cnf(cls_conjecture_5,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
cnf(cls_conjecture_3,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(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Crypt__synth_1,axiom,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
cnf(cls_insert__iff_2,axiom,
( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
| ~ hBOOL(c_in(X1,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).
cnf(cls_conjecture_6,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,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_evsf)),tc_Message_Omsg))
| ~ 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_evsf)),tc_Message_Omsg))
| ~ 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_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_insertE_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| X1 = X4
| ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
cnf(cls_event_Osimps_I1_J_0,axiom,
( X1 = X4
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
cnf(cls_agent_Osimps_I4_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(c_0_24,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
cls_mem__def_0 ).
cnf(c_0_25,negated_conjecture,
hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
cls_conjecture_1 ).
cnf(c_0_26,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_27,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_28,axiom,
( hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
cls_Fake__parts__insert__in__Un_0 ).
cnf(c_0_29,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
cls_Un__commute_0 ).
cnf(c_0_30,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,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
cls_conjecture_4 ).
cnf(c_0_31,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
cls_knows__Spy__Says_0 ).
cnf(c_0_32,negated_conjecture,
hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),v_Xa)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__synth_0 ).
cnf(c_0_34,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0 ).
cnf(c_0_35,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_36,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_insert__absorb_0 ).
cnf(c_0_37,plain,
( hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1)),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_40,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,axiom,
( hBOOL(c_in(X1,X2,X3))
| hBOOL(c_in(X1,X4,X3))
| ~ hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)) ),
cls_UnE_0 ).
cnf(c_0_42,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X2,X4)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_44,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
cls_not__parts__not__analz_0 ).
cnf(c_0_45,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_41,c_0_33]) ).
cnf(c_0_46,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),X1)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
cls_conjecture_2 ).
cnf(c_0_48,axiom,
( hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent))),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
cls_analz__mono__contra_I1_J_0 ).
cnf(c_0_49,plain,
( hBOOL(hAPP(c_Message_Oparts(X1),X2))
| ~ hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_24,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
cls_conjecture_5 ).
cnf(c_0_51,axiom,
c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3),
cls_List_Oset_Osimps_I2_J_0 ).
cnf(c_0_52,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(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
cls_conjecture_3 ).
cnf(c_0_53,axiom,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)) ),
cls_Crypt__synth_1 ).
cnf(c_0_54,negated_conjecture,
( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| 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_evsf)),tc_Message_Omsg)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_34]) ).
cnf(c_0_55,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),X3))
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_26,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,axiom,
( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
| ~ hBOOL(c_in(X1,X3,X4)) ),
cls_insert__iff_2 ).
cnf(c_0_59,negated_conjecture,
hBOOL(hAPP(c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),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))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_52]),c_0_51]) ).
cnf(c_0_60,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,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_evsf)),tc_Message_Omsg))
| ~ 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_evsf)),tc_Message_Omsg))
| ~ 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_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
cls_conjecture_6 ).
cnf(c_0_61,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_evsf)),tc_Message_Omsg)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]) ).
cnf(c_0_62,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,axiom,
( hBOOL(c_in(X1,X2,X3))
| X1 = X4
| ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)) ),
cls_insertE_0 ).
cnf(c_0_64,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_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),X1)),
inference(spm,[status(thm)],[c_0_26,c_0_59]) ).
cnf(c_0_65,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_evsf,tc_Event_Oevent),tc_Event_Oevent)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]),c_0_62]),c_0_55]) ).
cnf(c_0_66,axiom,
( X1 = X4
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
cls_event_Osimps_I1_J_0 ).
cnf(c_0_67,negated_conjecture,
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_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_68,negated_conjecture,
( X1 = c_Message_Oagent_OServer
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_69,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0 ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_68]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV761-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 05:34:52 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.58 start to proof: theBenchmark
% 12.75/12.96 % Version : CSE_E---1.5
% 12.75/12.96 % Problem : theBenchmark.p
% 12.75/12.96 % Proof found
% 12.75/12.96 % SZS status Theorem for theBenchmark.p
% 12.75/12.96 % SZS output start Proof
% See solution above
% 12.75/12.97 % Total time : 12.315000 s
% 12.75/12.97 % SZS output end Proof
% 12.75/12.97 % Total time : 12.332000 s
%------------------------------------------------------------------------------