TSTP Solution File: SWV756-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV756-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n029.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 : 600s
% DateTime : Wed Jul 20 18:23:21 EDT 2022
% Result : Unsatisfiable 1.01s 0.58s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV756-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 17:37:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # No SInE strategy applied
% 0.20/0.45 # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 0.20/0.45 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.45 #
% 0.20/0.45 # Presaturation interreduction done
% 0.20/0.45 # Number of axioms: 589 Number of unprocessed: 460
% 0.20/0.45 # Tableaux proof search.
% 0.20/0.45 # APR header successfully linked.
% 0.20/0.45 # Hello from C++
% 0.20/0.45 # The folding up rule is enabled...
% 0.20/0.45 # Local unification is enabled...
% 0.20/0.45 # Any saturation attempts will use folding labels...
% 0.20/0.45 # 460 beginning clauses after preprocessing and clausification
% 0.20/0.45 # Creating start rules for all 13 conjectures.
% 0.20/0.45 # There are 13 start rule candidates:
% 0.20/0.45 # Found 175 unit axioms.
% 0.20/0.45 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.45 # 13 start rule tableaux created.
% 0.20/0.45 # 285 extension rule candidate clauses
% 0.20/0.45 # 175 unit axiom clauses
% 0.20/0.45
% 0.20/0.45 # Requested 8, 32 cores available to the main process.
% 1.01/0.58 # There were 1 total branch saturation attempts.
% 1.01/0.58 # There were 0 of these attempts blocked.
% 1.01/0.58 # There were 0 deferred branch saturation attempts.
% 1.01/0.58 # There were 0 free duplicated saturations.
% 1.01/0.58 # There were 1 total successful branch saturations.
% 1.01/0.58 # There were 0 successful branch saturations in interreduction.
% 1.01/0.58 # There were 0 successful branch saturations on the branch.
% 1.01/0.58 # There were 1 successful branch saturations after the branch.
% 1.01/0.58 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/0.58 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/0.58 # Begin clausification derivation
% 1.01/0.58
% 1.01/0.58 # End clausification derivation
% 1.01/0.58 # Begin listing active clauses obtained from FOF to CNF conversion
% 1.01/0.58 cnf(i_0_1144, negated_conjecture, (v_Aa=v_A)).
% 1.01/0.58 cnf(i_0_1147, negated_conjecture, (v_K=v_KAB)).
% 1.01/0.58 cnf(i_0_1146, negated_conjecture, (v_B=v_Ba)).
% 1.01/0.58 cnf(i_0_1145, negated_conjecture, (c_Message_Omsg_ONonce(v_NAa)=v_NA)).
% 1.01/0.58 cnf(i_0_1167, plain, (class_Orderings_Obot(tc_nat))).
% 1.01/0.58 cnf(i_0_1141, negated_conjecture, (hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_1139, negated_conjecture, (hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1171, plain, (class_Lattices_Oboolean__algebra(tc_bool))).
% 1.01/0.58 cnf(i_0_1165, plain, (class_Lattices_Olattice(tc_nat))).
% 1.01/0.58 cnf(i_0_1162, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 1.01/0.58 cnf(i_0_1148, negated_conjecture, (c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_A)))=v_X)).
% 1.01/0.58 cnf(i_0_1164, plain, (class_Orderings_Olinorder(tc_nat))).
% 1.01/0.58 cnf(i_0_1168, plain, (class_HOL_Oord(tc_nat))).
% 1.01/0.58 cnf(i_0_1177, plain, (class_HOL_Ouminus(tc_bool))).
% 1.01/0.58 cnf(i_0_1166, plain, (class_Orderings_Oorder(tc_nat))).
% 1.01/0.58 cnf(i_0_1176, plain, (class_Orderings_Obot(tc_bool))).
% 1.01/0.58 cnf(i_0_1173, plain, (class_Lattices_Olattice(tc_bool))).
% 1.01/0.58 cnf(i_0_1169, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 1.01/0.58 cnf(i_0_1163, plain, (class_Orderings_Opreorder(tc_nat))).
% 1.01/0.58 cnf(i_0_1149, negated_conjecture, (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)))).
% 1.01/0.58 cnf(i_0_1170, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 1.01/0.58 cnf(i_0_1175, plain, (class_Orderings_Otop(tc_bool))).
% 1.01/0.58 cnf(i_0_1178, plain, (class_HOL_Oord(tc_bool))).
% 1.01/0.58 cnf(i_0_1174, plain, (class_Orderings_Oorder(tc_bool))).
% 1.01/0.58 cnf(i_0_1172, plain, (class_Orderings_Opreorder(tc_bool))).
% 1.01/0.58 cnf(i_0_1090, plain, (c_Message_Oparts(c_Message_Oparts(X1))=c_Message_Oparts(X1))).
% 1.01/0.58 cnf(i_0_835, plain, (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1065, plain, (hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_701, plain, (c_Message_Osynth(c_Message_Osynth(X1))=c_Message_Osynth(X1))).
% 1.01/0.58 cnf(i_0_1067, plain, (c_Message_Oparts(c_Message_Oanalz(X1))=c_Message_Oparts(X1))).
% 1.01/0.58 cnf(i_0_1092, plain, (c_Message_Oanalz(c_Message_Oparts(X1))=c_Message_Oparts(X1))).
% 1.01/0.58 cnf(i_0_1142, negated_conjecture, (hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),v_NA))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_1069, plain, (c_Message_Oanalz(c_Message_Oanalz(X1))=c_Message_Oanalz(X1))).
% 1.01/0.58 cnf(i_0_755, plain, (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1016, plain, (hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_1179, plain, (c_fequal(X1,X1,X2))).
% 1.01/0.58 cnf(i_0_859, plain, (c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))=c_NS__Shared__Mirabelle_Ons__sharedp(v_x))).
% 1.01/0.58 cnf(i_0_777, plain, (hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X1))=X1)).
% 1.01/0.58 cnf(i_0_723, plain, (hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,X1))=hAPP(c_Public_OshrK,X1))).
% 1.01/0.58 cnf(i_0_1131, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_815, plain, (hBOOL(c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_654, plain, (c_List_Oset(c_List_Olist_ONil(X1),X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 1.01/0.58 cnf(i_0_1113, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(X1,X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_814, plain, (c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg))).
% 1.01/0.58 cnf(i_0_821, plain, (c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg))).
% 1.01/0.58 cnf(i_0_718, plain, (c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_719, plain, (c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_1024, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 1.01/0.58 cnf(i_0_981, plain, (c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_974, plain, (c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_886, plain, (c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))=c_Message_OkeysFor(X2))).
% 1.01/0.58 cnf(i_0_885, plain, (c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))=c_Message_OkeysFor(X2))).
% 1.01/0.58 cnf(i_0_1007, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))).
% 1.01/0.58 cnf(i_0_920, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 1.01/0.58 cnf(i_0_656, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 1.01/0.58 cnf(i_0_778, plain, (c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_949, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oused(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_956, plain, (c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_887, plain, (c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))=c_Message_OkeysFor(X2))).
% 1.01/0.58 cnf(i_0_945, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1037, plain, (c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent))=c_Event_Oused(X3))).
% 1.01/0.58 cnf(i_0_834, plain, (c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_1046, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_888, plain, (c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg))=c_Message_OkeysFor(X3))).
% 1.01/0.58 cnf(i_0_986, plain, (hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)))).
% 1.01/0.58 cnf(i_0_933, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)))).
% 1.01/0.58 cnf(i_0_898, plain, (c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg))).
% 1.01/0.58 cnf(i_0_895, plain, (c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg))).
% 1.01/0.58 cnf(i_0_894, plain, (c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg))).
% 1.01/0.58 cnf(i_0_891, plain, (c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg))).
% 1.01/0.58 cnf(i_0_1042, plain, (c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_658, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Message_Osynth(X1)))).
% 1.01/0.58 cnf(i_0_973, plain, (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X3))).
% 1.01/0.58 cnf(i_0_900, plain, (c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg))).
% 1.01/0.58 cnf(i_0_852, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_864, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oused(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_702, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oanalz(c_Message_Osynth(X1)))).
% 1.01/0.58 cnf(i_0_911, plain, (c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3)=c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3))).
% 1.01/0.58 cnf(i_0_1019, plain, (c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.01/0.58 cnf(i_0_614, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.01/0.58 cnf(i_0_644, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))).
% 1.01/0.58 cnf(i_0_831, plain, (c_lessequals(c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_922, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_924, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 1.01/0.58 cnf(i_0_754, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.01/0.58 cnf(i_0_799, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_630, plain, (c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 1.01/0.58 cnf(i_0_753, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 1.01/0.58 cnf(i_0_879, plain, (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))).
% 1.01/0.58 cnf(i_0_637, plain, (c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 1.01/0.58 cnf(i_0_771, plain, (c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x))).
% 1.01/0.58 cnf(i_0_881, plain, (c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg))).
% 1.01/0.58 cnf(i_0_717, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))))).
% 1.01/0.58 cnf(i_0_720, plain, (c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))))).
% 1.01/0.58 cnf(i_0_742, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 1.01/0.58 cnf(i_0_741, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 1.01/0.58 cnf(i_0_703, plain, (c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_617, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 1.01/0.58 cnf(i_0_882, plain, (c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent))=c_Set_Oinsert(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg))).
% 1.01/0.58 cnf(i_0_674, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_675, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_995, plain, (c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(X3,X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_901, plain, (c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)=c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_890, plain, (c_lessequals(c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_889, plain, (c_lessequals(c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_746, plain, (c_lessequals(c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_698, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_998, plain, (hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)))).
% 1.01/0.58 cnf(i_0_647, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4))).
% 1.01/0.58 cnf(i_0_648, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3))).
% 1.01/0.58 cnf(i_0_727, plain, (c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_908, plain, (c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)=c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_902, plain, (c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)=c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_744, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))))).
% 1.01/0.58 cnf(i_0_670, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_795, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 1.01/0.58 cnf(i_0_756, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_829, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_883, plain, (c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_640, plain, (c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(hAPP(c_Public_OshrK,c_Message_Oagent_OFriend(X1)),c_Set_Oinsert(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OFriend(X1))),c_Set_Oinsert(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OFriend(X1))),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat),tc_nat),tc_nat,tc_Message_Omsg)=c_Event_Oknows(c_Message_Oagent_OFriend(X1),c_List_Olist_ONil(tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_737, plain, (c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer)),c_Set_Oinsert(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer)),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat),tc_nat,tc_Message_Omsg)=c_Event_Oknows(c_Message_Oagent_OServer,c_List_Olist_ONil(tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_641, plain, (c_Set_Oimage(c_Message_Omsg_OKey,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Set_Oimage(c_Message_OinvKey,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)),tc_nat,tc_Message_Omsg)=c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_694, plain, (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)))).
% 1.01/0.58 cnf(i_0_927, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 1.01/0.58 cnf(i_0_921, plain, (c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)=c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))).
% 1.01/0.58 cnf(i_0_666, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 1.01/0.58 cnf(i_0_726, plain, (c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X4),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_1098, plain, (c_Message_Oagent_OServer!=c_Message_Oagent_OSpy)).
% 1.01/0.58 cnf(i_0_619, plain, (c_Public_Okeymode_OSignature!=c_Public_Okeymode_OEncryption)).
% 1.01/0.58 cnf(i_0_600, plain, (c_Message_Oagent_OFriend(X1)!=c_Message_Oagent_OSpy)).
% 1.01/0.58 cnf(i_0_601, plain, (c_Message_Oagent_OFriend(X1)!=c_Message_Oagent_OServer)).
% 1.01/0.58 cnf(i_0_1140, negated_conjecture, (~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1143, negated_conjecture, (~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1123, plain, (c_Message_Omsg_ONonce(X1)!=c_Message_Omsg_OAgent(X2))).
% 1.01/0.58 cnf(i_0_992, plain, (c_List_Olist_OCons(X1,X2,X3)!=X2)).
% 1.01/0.58 cnf(i_0_1150, negated_conjecture, (~hBOOL(c_in(c_Event_Oevent_OSays(v_Ba,v_A,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_1077, plain, (c_Message_Omsg_OAgent(X1)!=hAPP(c_Message_Omsg_OKey,X2))).
% 1.01/0.58 cnf(i_0_1091, plain, (c_Message_Omsg_ONonce(X1)!=hAPP(c_Message_Omsg_OKey,X2))).
% 1.01/0.58 cnf(i_0_1106, plain, (c_Message_Omsg_OAgent(X1)!=c_Message_Omsg_OMPair(X2,X3))).
% 1.01/0.58 cnf(i_0_994, plain, (~hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_1109, plain, (c_Message_Omsg_OAgent(X1)!=c_Message_Omsg_OCrypt(X2,X3))).
% 1.01/0.58 cnf(i_0_1110, plain, (c_Message_Omsg_ONonce(X1)!=c_Message_Omsg_OMPair(X2,X3))).
% 1.01/0.58 cnf(i_0_1119, plain, (c_Message_Omsg_ONonce(X1)!=c_Message_Omsg_OCrypt(X2,X3))).
% 1.01/0.58 cnf(i_0_856, plain, (~hBOOL(c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1111, plain, (c_Message_Omsg_OCrypt(X1,X2)!=c_Message_Omsg_OMPair(X3,X4))).
% 1.01/0.58 cnf(i_0_1133, plain, (c_Message_Omsg_OMPair(X1,X2)!=hAPP(c_Message_Omsg_OKey,X3))).
% 1.01/0.58 cnf(i_0_1089, plain, (c_Message_Omsg_OCrypt(X1,X2)!=hAPP(c_Message_Omsg_OKey,X3))).
% 1.01/0.58 cnf(i_0_1021, plain, (c_Event_Oevent_OGets(X1,X2)!=c_Event_Oevent_ONotes(X3,X4))).
% 1.01/0.58 cnf(i_0_766, plain, (c_List_Olist_ONil(X1)!=c_List_Olist_OCons(X2,X3,X1))).
% 1.01/0.58 cnf(i_0_855, plain, (~hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X1)),c_Event_Oused(X1),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_953, plain, (~hBOOL(c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_854, plain, (~hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_847, plain, (~hBOOL(c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_964, plain, (c_Event_Oevent_ONotes(X1,X2)!=c_Event_Oevent_OSays(X3,X4,X5))).
% 1.01/0.58 cnf(i_0_965, plain, (c_Event_Oevent_OGets(X1,X2)!=c_Event_Oevent_OSays(X3,X4,X5))).
% 1.01/0.58 cnf(i_0_850, plain, (~hBOOL(c_in(c_Message_Omsg_ONonce(X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_963, plain, (hAPP(c_Public_OshrK,X1)!=hAPP(c_Public_OpublicKey(X2),X3))).
% 1.01/0.58 cnf(i_0_758, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 1.01/0.58 cnf(i_0_757, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 1.01/0.58 cnf(i_0_708, plain, (~hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))).
% 1.01/0.58 cnf(i_0_743, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_1151, 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_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),v_X))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_642, plain, (~hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),X1)),c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_858, plain, (~hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_731, plain, (~hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_732, plain, (~hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_620, plain, (hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),X1))!=hAPP(c_Public_OshrK,X2))).
% 1.01/0.58 cnf(i_0_832, plain, (hAPP(c_Public_OshrK,X1)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X2),X3)))).
% 1.01/0.58 cnf(i_0_796, plain, (hAPP(c_Public_OpublicKey(X1),X2)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X3),X4)))).
% 1.01/0.58 cnf(i_0_969, plain, (~hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_972, plain, (~hBOOL(c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_866, plain, (~hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_857, plain, (~hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_593, plain, (~hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_594, plain, (~hBOOL(c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_598, plain, (X1=X2|c_Message_Oagent_OFriend(X1)!=c_Message_Oagent_OFriend(X2))).
% 1.01/0.58 cnf(i_0_1066, plain, (X1=X2|c_Message_Omsg_OAgent(X1)!=c_Message_Omsg_OAgent(X2))).
% 1.01/0.58 cnf(i_0_1116, plain, (X1=X2|c_Message_Omsg_ONonce(X1)!=c_Message_Omsg_ONonce(X2))).
% 1.01/0.58 cnf(i_0_665, plain, (c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)|~class_Orderings_Olinorder(X1))).
% 1.01/0.58 cnf(i_0_1180, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 1.01/0.58 cnf(i_0_836, plain, (hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))|~hBOOL(c_in(hAPP(c_Message_OinvKey,X1),c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_838, plain, (hAPP(c_Message_OinvKey,X1)=X1|~hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_629, plain, (c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 1.01/0.58 cnf(i_0_1135, plain, (X1=X2|hAPP(c_Public_OshrK,X1)!=hAPP(c_Public_OshrK,X2))).
% 1.01/0.58 cnf(i_0_1105, plain, (X1=X2|hAPP(c_Message_Omsg_OKey,X1)!=hAPP(c_Message_Omsg_OKey,X2))).
% 1.01/0.58 cnf(i_0_636, plain, (c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 1.01/0.58 cnf(i_0_1154, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))).
% 1.01/0.58 cnf(i_0_1160, plain, (class_HOL_Ouminus(tc_fun(X1,X2))|~class_HOL_Ouminus(X2))).
% 1.01/0.58 cnf(i_0_1014, plain, (X1=X2|c_Event_Oevent_ONotes(X3,X1)!=c_Event_Oevent_ONotes(X4,X2))).
% 1.01/0.58 cnf(i_0_1125, plain, (X1=X2|c_Message_Omsg_OMPair(X3,X1)!=c_Message_Omsg_OMPair(X4,X2))).
% 1.01/0.58 cnf(i_0_1121, plain, (X1=X2|c_Message_Omsg_OCrypt(X3,X1)!=c_Message_Omsg_OCrypt(X4,X2))).
% 1.01/0.58 cnf(i_0_1159, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 1.01/0.58 cnf(i_0_837, plain, (hBOOL(c_in(hAPP(c_Message_OinvKey,X1),c_Message_OsymKeys,tc_nat))|~hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_1156, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.01/0.58 cnf(i_0_1153, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 1.01/0.58 cnf(i_0_1005, plain, (X1=X2|c_Event_Oevent_OGets(X3,X1)!=c_Event_Oevent_OGets(X4,X2))).
% 1.01/0.58 cnf(i_0_1015, plain, (X1=X2|c_Event_Oevent_ONotes(X1,X3)!=c_Event_Oevent_ONotes(X2,X4))).
% 1.01/0.58 cnf(i_0_1124, plain, (X1=X2|c_Message_Omsg_OMPair(X1,X3)!=c_Message_Omsg_OMPair(X2,X4))).
% 1.01/0.58 cnf(i_0_1120, plain, (X1=X2|c_Message_Omsg_OCrypt(X1,X3)!=c_Message_Omsg_OCrypt(X2,X4))).
% 1.01/0.58 cnf(i_0_1158, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))).
% 1.01/0.58 cnf(i_0_1087, plain, (hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1083, plain, (hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))|~hBOOL(c_in(X1,X2,tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1084, plain, (hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(X1,X2,tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1152, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.01/0.58 cnf(i_0_1161, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 1.01/0.58 cnf(i_0_1006, plain, (X1=X2|c_Event_Oevent_OGets(X1,X3)!=c_Event_Oevent_OGets(X2,X4))).
% 1.01/0.58 cnf(i_0_1028, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 1.01/0.58 cnf(i_0_1029, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 1.01/0.58 cnf(i_0_1157, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 1.01/0.58 cnf(i_0_1155, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 1.01/0.58 cnf(i_0_1136, plain, (hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_651, plain, (X1=X2|hAPP(c_Message_OinvKey,X1)!=hAPP(c_Message_OinvKey,X2))).
% 1.01/0.58 cnf(i_0_693, plain, (c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,X1,X2),X2)|~class_Orderings_Olinorder(X2))).
% 1.01/0.58 cnf(i_0_1082, plain, (X1=X2|c_Event_Oevent_OSays(X3,X4,X1)!=c_Event_Oevent_OSays(X5,X6,X2))).
% 1.01/0.58 cnf(i_0_822, plain, (hBOOL(c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_610, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 1.01/0.58 cnf(i_0_1032, plain, (X1=X2|c_List_Olist_OCons(X3,X1,X4)!=c_List_Olist_OCons(X5,X2,X4))).
% 1.01/0.58 cnf(i_0_1081, plain, (X1=X2|c_Event_Oevent_OSays(X3,X1,X4)!=c_Event_Oevent_OSays(X5,X2,X6))).
% 1.01/0.58 cnf(i_0_1031, plain, (X1=X2|c_List_Olist_OCons(X1,X3,X4)!=c_List_Olist_OCons(X2,X5,X4))).
% 1.01/0.58 cnf(i_0_1072, plain, (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)))).
% 1.01/0.58 cnf(i_0_1073, plain, (hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1080, plain, (X1=X2|c_Event_Oevent_OSays(X1,X3,X4)!=c_Event_Oevent_OSays(X2,X5,X6))).
% 1.01/0.58 cnf(i_0_632, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 1.01/0.58 cnf(i_0_1096, plain, (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)))).
% 1.01/0.58 cnf(i_0_1070, plain, (hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1071, plain, (hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1074, plain, (hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Event_Oused(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_631, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_Lattices_Oboolean__algebra(X3))).
% 1.01/0.58 cnf(i_0_657, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 1.01/0.58 cnf(i_0_761, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))).
% 1.01/0.58 cnf(i_0_1000, plain, (X1=X2|hAPP(c_Public_OpublicKey(X3),X1)!=hAPP(c_Public_OpublicKey(X4),X2))).
% 1.01/0.58 cnf(i_0_1075, plain, (hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X1,X3),c_Event_Oused(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_808, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_849, plain, (hBOOL(c_in(X1,X2,tc_nat))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_714, plain, (hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))|~hBOOL(c_in(X1,X2,tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_999, plain, (X1=X2|hAPP(c_Public_OpublicKey(X1),X3)!=hAPP(c_Public_OpublicKey(X2),X4))).
% 1.01/0.58 cnf(i_0_1020, plain, (c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)|~class_Orderings_Otop(X2))).
% 1.01/0.58 cnf(i_0_643, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 1.01/0.58 cnf(i_0_1010, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 1.01/0.58 cnf(i_0_952, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_1118, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,X1,X3)))).
% 1.01/0.58 cnf(i_0_612, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_Lattices_Oboolean__algebra(X2))).
% 1.01/0.58 cnf(i_0_794, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oset(X1,X2)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 1.01/0.58 cnf(i_0_1045, plain, (hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_ONotes(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_1108, plain, (hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_751, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 1.01/0.58 cnf(i_0_937, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(c_in(X1,X2,X3)))).
% 1.01/0.58 cnf(i_0_603, plain, (~hBOOL(c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3))|~hBOOL(c_in(X1,X2,X3)))).
% 1.01/0.58 cnf(i_0_692, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 1.01/0.58 cnf(i_0_1117, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(X2,X1)))).
% 1.01/0.58 cnf(i_0_621, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))|~hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption)))).
% 1.01/0.58 cnf(i_0_1086, plain, (hBOOL(c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_752, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 1.01/0.58 cnf(i_0_691, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 1.01/0.58 cnf(i_0_781, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3))).
% 1.01/0.58 cnf(i_0_782, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3))).
% 1.01/0.58 cnf(i_0_1085, plain, (hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_1099, plain, (hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_853, plain, (hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_739, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2)=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 1.01/0.58 cnf(i_0_762, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 1.01/0.58 cnf(i_0_760, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 1.01/0.58 cnf(i_0_622, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 1.01/0.58 cnf(i_0_1039, plain, (hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),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))))).
% 1.01/0.58 cnf(i_0_1040, plain, (hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,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))))).
% 1.01/0.58 cnf(i_0_740, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 1.01/0.58 cnf(i_0_633, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool))!=c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_653, plain, (X1=X2|~hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)))).
% 1.01/0.58 cnf(i_0_800, plain, (c_lessequals(X1,X2,X3)|~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)|~class_Orderings_Olinorder(X3))).
% 1.01/0.58 cnf(i_0_682, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))).
% 1.01/0.58 cnf(i_0_910, plain, (c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg))=c_Message_Oparts(X2)|~hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_905, plain, (c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))=c_Message_Oanalz(X2)|~hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_811, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x)=c_Orderings_Otop__class_Otop(X1)|~class_Orderings_Otop(X1))).
% 1.01/0.58 cnf(i_0_679, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.01/0.58 cnf(i_0_683, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))).
% 1.01/0.58 cnf(i_0_678, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.01/0.58 cnf(i_0_704, plain, (c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)|~class_Orderings_Olinorder(X2))).
% 1.01/0.58 cnf(i_0_944, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),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)))|~hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_1041, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,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(X1,c_Event_Obad,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_728, plain, (hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_729, plain, (hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_650, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 1.01/0.58 cnf(i_0_1008, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_765, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)).
% 1.01/0.58 cnf(i_0_1044, plain, (hBOOL(c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_970, plain, (hBOOL(c_in(X1,X2,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_597, plain, (hBOOL(c_in(X1,X2,tc_nat))|~hBOOL(c_in(hAPP(c_Message_OinvKey,X1),c_Set_Oimage(c_Message_OinvKey,X2,tc_nat,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_1068, plain, (hBOOL(c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X2,X4,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_615, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 1.01/0.58 cnf(i_0_923, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 1.01/0.58 cnf(i_0_914, plain, (hBOOL(c_in(X1,X2,X3))|~c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_928, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 1.01/0.58 cnf(i_0_616, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 1.01/0.58 cnf(i_0_1060, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat))|~hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_909, plain, (hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1038, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.01/0.58 cnf(i_0_1022, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 1.01/0.58 cnf(i_0_1023, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 1.01/0.58 cnf(i_0_906, plain, (hBOOL(c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_904, plain, (hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X3,c_Message_Oanalz(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_926, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_932, plain, (X1=X2|hBOOL(c_in(X1,X3,X4))|~hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)))).
% 1.01/0.58 cnf(i_0_1002, plain, (X1=X2|~hBOOL(c_in(hAPP(c_Public_OpublicKey(X1),X3),c_Set_Oimage(c_Public_OpublicKey(X2),X4,tc_Message_Oagent,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_950, plain, (hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))|~hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_1097, plain, (hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X3)),c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1050, plain, (X1=c_Message_Oagent_OSpy|hBOOL(c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_783, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X3,X4))).
% 1.01/0.58 cnf(i_0_784, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X2,X4))).
% 1.01/0.58 cnf(i_0_772, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.01/0.58 cnf(i_0_960, plain, (hBOOL(c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_ONotes(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_1043, plain, (hBOOL(c_in(X1,c_Message_OkeysFor(X2),tc_nat))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_861, plain, (hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X3)),c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_696, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 1.01/0.58 cnf(i_0_695, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.01/0.58 cnf(i_0_685, plain, (X1=X2|c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)!=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))).
% 1.01/0.58 cnf(i_0_863, plain, (hBOOL(c_in(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X2),tc_nat))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1079, plain, (hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(X3,c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_1027, plain, (hBOOL(hAPP(X1,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~hBOOL(hAPP(X3,X2)))).
% 1.01/0.58 cnf(i_0_763, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_764, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_839, plain, (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)))).
% 1.01/0.58 cnf(i_0_978, plain, (c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_975, plain, (c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_638, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.01/0.58 cnf(i_0_930, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))|~hBOOL(c_in(X1,X3,X4)))).
% 1.01/0.58 cnf(i_0_689, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 1.01/0.58 cnf(i_0_846, plain, (c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(X2))|~hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_840, plain, (hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg))|~hBOOL(c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_876, plain, (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X2),X3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3))),tc_Message_Omsg))|~hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_880, plain, (c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat)))).
% 1.01/0.58 cnf(i_0_635, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(t_a,X2)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(X1,v_x),X2)|~class_HOL_Ouminus(X2))).
% 1.01/0.58 cnf(i_0_690, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 1.01/0.58 cnf(i_0_607, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 1.01/0.58 cnf(i_0_605, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2))).
% 1.01/0.58 cnf(i_0_1107, plain, (hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X1,X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_646, plain, (hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Osynth(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_874, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg))|~hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_804, plain, (hBOOL(c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg))|~hBOOL(c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_623, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~c_lessequals(X3,X1,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2))).
% 1.01/0.58 cnf(i_0_660, plain, (c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_788, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_803, plain, (hBOOL(c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg))|hBOOL(c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_802, plain, (hBOOL(c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg))|hBOOL(c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_807, plain, (hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg))|hBOOL(c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_958, plain, (hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))|~c_lessequals(X3,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_749, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 1.01/0.58 cnf(i_0_787, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_700, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Olattice(X3))).
% 1.01/0.58 cnf(i_0_699, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.01/0.58 cnf(i_0_677, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3))).
% 1.01/0.58 cnf(i_0_750, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 1.01/0.58 cnf(i_0_957, plain, (hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))|~c_lessequals(X3,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_980, plain, (c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_977, plain, (c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_748, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 1.01/0.58 cnf(i_0_987, plain, (hBOOL(c_in(X1,X2,X3))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~hBOOL(c_in(X1,X4,X3)))).
% 1.01/0.58 cnf(i_0_810, plain, (hBOOL(c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_806, plain, (hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))|hBOOL(c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_979, plain, (c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_976, plain, (c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_997, plain, (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X3)|hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_860, plain, (c_lessequals(X1,X2,X3)|~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X4,X3),X3)|~class_Orderings_Olinorder(X3)|~hBOOL(c_in(X2,c_List_Oset(X4,X3),X3)))).
% 1.01/0.58 cnf(i_0_951, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_1094, plain, (X1=hAPP(c_Public_OshrK,X2)|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1088, plain, (hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X8,X1))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)))).
% 1.01/0.58 cnf(i_0_938, plain, (c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))=c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg))|c_Message_Oanalz(X2)!=c_Message_Oanalz(X3))).
% 1.01/0.58 cnf(i_0_1003, plain, (hBOOL(c_in(X1,X2,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X4),X2,tc_Message_Oagent,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_789, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Set_Oimage(X3,X1,X2,X4)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))).
% 1.01/0.58 cnf(i_0_925, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 1.01/0.58 cnf(i_0_604, plain, (hBOOL(c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3))|hBOOL(c_in(X1,X2,X3)))).
% 1.01/0.58 cnf(i_0_842, plain, (c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg))=c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg)|~hBOOL(c_in(c_Message_Osko__Message__Xparts__insert__eq__I__1__1(X2,X1),c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_845, plain, (c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))=c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg)|~hBOOL(c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(X2,X1),c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_955, plain, (hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_639, plain, (c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool))|~c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_645, plain, (c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_878, plain, (c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)|X1=c_Message_Oagent_OSpy)).
% 1.01/0.58 cnf(i_0_875, plain, (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X2),X3,tc_Event_Oevent)))|~hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3))),tc_Message_Omsg))|~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X3)))).
% 1.01/0.58 cnf(i_0_877, plain, (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)|~hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_884, plain, (c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))=c_Message_Oanalz(X2)|~c_lessequals(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_672, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 1.01/0.58 cnf(i_0_668, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.01/0.58 cnf(i_0_659, plain, (c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_991, plain, (c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)|~class_HOL_Oord(X4)|~c_lessequals(X1,X3,tc_fun(X5,X4)))).
% 1.01/0.58 cnf(i_0_812, plain, (hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X3)),c_Message_Oanalz(X2),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_819, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))|~hBOOL(c_in(X1,X2,tc_nat)))).
% 1.01/0.58 cnf(i_0_595, plain, (X1=X2|~hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X3)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X2),X4,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_828, plain, (c_lessequals(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_625, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_712, plain, (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)))).
% 1.01/0.58 cnf(i_0_916, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(c_in(X4,X1,X3))|~c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_1129, plain, (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(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(X5,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_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_655, plain, (hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3)|~class_Lattices_Olattice(X3))).
% 1.01/0.58 cnf(i_0_707, plain, (hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X3,X4)))).
% 1.01/0.58 cnf(i_0_706, plain, (hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X2,X4)))).
% 1.01/0.58 cnf(i_0_936, plain, (X1=X2|hBOOL(c_in(X3,X1,X4))|hBOOL(c_in(X3,X2,X4))|c_Set_Oinsert(X3,X1,X4)!=c_Set_Oinsert(X3,X2,X4))).
% 1.01/0.58 cnf(i_0_1026, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_984, plain, (hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))|~hBOOL(c_in(X2,X3,X4)))).
% 1.01/0.58 cnf(i_0_1053, plain, (~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))|~hBOOL(c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_825, plain, (hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))|~c_lessequals(X3,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_801, plain, (c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)|~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X2,X4))).
% 1.01/0.58 cnf(i_0_913, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~hBOOL(c_in(X1,X4,X3)))).
% 1.01/0.58 cnf(i_0_1059, plain, (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X3)))),X4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(X4),tc_Message_Omsg))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_592, plain, (hBOOL(c_in(X1,X2,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X3),X1)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X4),X2,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)))).
% 1.01/0.58 cnf(i_0_770, plain, (X1=X2|X1=X3|c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)!=c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5))).
% 1.01/0.58 cnf(i_0_768, plain, (X1=X2|X3=X2|c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)!=c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))).
% 1.01/0.58 cnf(i_0_843, plain, (c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg))=c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg)|hBOOL(c_in(c_Message_Osko__Message__Xparts__insert__eq__I__1__1(X2,X1),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_844, plain, (c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))=c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg)|hBOOL(c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(X2,X1),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_947, plain, (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X3)))),X4,tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(X4),tc_Message_Omsg))|~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X4)))).
% 1.01/0.58 cnf(i_0_919, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_912, plain, (c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)=c_Set_Oimage(X1,X3,X4,X5)|~hBOOL(c_in(X2,X3,X4)))).
% 1.01/0.58 cnf(i_0_871, plain, (c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X2),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_870, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg))|~c_lessequals(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X4,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_868, plain, (c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_721, plain, (c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))|c_Message_Oanalz(X1)!=c_Message_Oanalz(X3)|c_Message_Oanalz(X2)!=c_Message_Oanalz(X4))).
% 1.01/0.58 cnf(i_0_1001, plain, (hBOOL(c_in(hAPP(X1,X2),X3,X4))|~c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool))|~hBOOL(c_in(X2,X5,X6)))).
% 1.01/0.58 cnf(i_0_671, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 1.01/0.58 cnf(i_0_1051, plain, (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(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,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,X6)),tc_Message_Omsg))|~hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_841, plain, (hBOOL(c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X4,c_Message_Oparts(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_948, plain, (hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))|~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))|~hBOOL(c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))|~hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_669, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4))).
% 1.01/0.58 cnf(i_0_673, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_1036, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_867, plain, (c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)=c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_624, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))|~c_lessequals(X3,X1,tc_fun(X2,tc_bool)))).
% 1.01/0.58 cnf(i_0_792, plain, (X1=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)|X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_1122, plain, (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(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1))))),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))))).
% 1.01/0.58 cnf(i_0_1058, plain, (hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X1))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X7,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))|~hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_862, plain, (c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X1,X3,tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_716, 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)))).
% 1.01/0.58 cnf(i_0_591, plain, (hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X1),X3,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat))|~hBOOL(c_in(X2,X3,tc_Message_Oagent)))).
% 1.01/0.58 cnf(i_0_939, plain, (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg))|hBOOL(c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))|~hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_776, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 1.01/0.58 cnf(i_0_725, plain, (c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),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_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1104, plain, (X1=X2|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X1))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X2))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_745, plain, (c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),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_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_705, 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,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_830, plain, (c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)))).
% 1.01/0.58 cnf(i_0_873, plain, (c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_663, plain, (c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1103, plain, (X1=X2|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X10))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1102, plain, (X1=X2|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X10))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1101, plain, (X1=X2|~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(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~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(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X10))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1061, plain, (X1=c_Message_Oagent_OServer|hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X5,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_865, plain, (X1=c_Message_Oagent_OSpy|hBOOL(c_in(c_Event_Oevent_OSays(X1,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X1,X2,X3),X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(X2,c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))|~hBOOL(c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1048, plain, (X1=c_Message_Oagent_OServer|hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X5,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X4)))).
% 1.01/0.58 cnf(i_0_724, plain, (hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oparts(X3),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg))),tc_nat))|~hBOOL(c_in(X4,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)))).
% 1.01/0.58 cnf(i_0_1054, plain, (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),X5,tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(X4),c_Event_Oused(X5),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X2)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X3,c_Message_OsymKeys,tc_nat))|~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X5)))).
% 1.01/0.58 cnf(i_0_940, plain, (X1=X2|hBOOL(c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1057, plain, (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(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))|~hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1063, plain, (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),X5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(X4),c_Event_Oused(X5),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X2)))),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)))|~hBOOL(c_in(X3,c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_1055, plain, (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),hAPP(c_Message_Omsg_OKey,X3)))),X4,tc_Event_Oevent),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(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X6,X5,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_736, plain, (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(X1,X3,tc_nat))|~c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))|~hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1052, plain, (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),X5,tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X8))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X9,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X3,c_Message_OsymKeys,tc_nat))|~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X5)))).
% 1.01/0.58 cnf(i_0_946, plain, (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),hAPP(c_Message_Omsg_OKey,X3)))),X4,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(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X6,X5,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X4)))).
% 1.01/0.58 cnf(i_0_1062, plain, (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),X5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X8))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X9,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),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)))|~hBOOL(c_in(X3,c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_942, plain, (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__XSpy__not__see__encrypted__key__1(X2,X1,X3),hAPP(c_Message_Omsg_OKey,X2)))),c_List_Oset(X3,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(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OCrypt(X6,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))|~hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1049, plain, (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(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))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 cnf(i_0_1064, plain, (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),X5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X4),c_Event_Oused(X5),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X6,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_ONonce(X2)))),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)))|~hBOOL(c_in(X4,c_Message_OsymKeys,tc_nat)))).
% 1.01/0.58 cnf(i_0_1056, plain, (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),X5,tc_Event_Oevent)))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X4),c_Event_Oused(X5),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(X6,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X4,c_Message_OsymKeys,tc_nat))|~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X5)))).
% 1.01/0.58 cnf(i_0_943, plain, (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(X2,X1,X3),hAPP(c_Message_Omsg_OKey,X2)))),c_List_Oset(X3,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(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X5)))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))|~hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))).
% 1.01/0.58 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 1.01/0.58 # Begin printing tableau
% 1.01/0.58 # Found 4 steps
% 1.01/0.58 cnf(i_0_1150, negated_conjecture, (~hBOOL(c_in(c_Event_Oevent_OSays(v_Ba,v_A,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))), inference(start_rule)).
% 1.01/0.58 cnf(i_0_1182, plain, (~hBOOL(c_in(c_Event_Oevent_OSays(v_Ba,v_A,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))), inference(extension_rule, [i_0_1117])).
% 1.01/0.58 cnf(i_0_1350, plain, (~hBOOL(hAPP(c_List_Oset(v_evs2,tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_A,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)))))), inference(extension_rule, [i_0_1118])).
% 1.01/0.58 cnf(i_0_1488, plain, (~hBOOL(c_in(c_Event_Oevent_OSays(v_Ba,v_A,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),X6))), inference(etableau_closure_rule, [i_0_1488, ...])).
% 1.01/0.58 # End printing tableau
% 1.01/0.58 # SZS output end
% 1.01/0.58 # Branches closed with saturation will be marked with an "s"
% 1.01/0.58 # Child (14764) has found a proof.
% 1.01/0.58
% 1.01/0.58 # Proof search is over...
% 1.01/0.58 # Freeing feature tree
%------------------------------------------------------------------------------