TSTP Solution File: SWV811-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV811-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:35:19 EDT 2023
% Result : Unsatisfiable 0.66s 0.78s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV811-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 04:50:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.59/0.74 %-------------------------------------------
% 0.59/0.74 % File :CSE---1.6
% 0.59/0.74 % Problem :theBenchmark
% 0.59/0.74 % Transform :cnf
% 0.59/0.74 % Format :tptp:raw
% 0.59/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.74
% 0.59/0.74 % Result :Theorem 0.030000s
% 0.59/0.74 % Output :CNFRefutation 0.030000s
% 0.59/0.74 %-------------------------------------------
% 0.59/0.75 %------------------------------------------------------------------------------
% 0.59/0.75 % File : SWV811-1 : TPTP v8.1.2. Released v4.1.0.
% 0.59/0.75 % Domain : Software Verification
% 0.59/0.75 % Problem : Needham-Schroeder shared-key protocol 497_1
% 0.59/0.75 % Version : Especial.
% 0.59/0.75 % English :
% 0.59/0.75
% 0.59/0.75 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 0.59/0.75 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.59/0.75 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.59/0.75 % Source : [Nip10]
% 0.59/0.75 % Names : NS_Shared-497_1 [Nip10]
% 0.59/0.75
% 0.59/0.75 % Status : Unsatisfiable
% 0.59/0.75 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.12 v5.0.0, 0.21 v4.1.0
% 0.59/0.75 % Syntax : Number of clauses : 556 ( 235 unt; 62 nHn; 311 RR)
% 0.59/0.75 % Number of literals : 1084 ( 327 equ; 508 neg)
% 0.59/0.75 % Maximal clause size : 7 ( 1 avg)
% 0.59/0.75 % Maximal term depth : 10 ( 2 avg)
% 0.59/0.75 % Number of predicates : 14 ( 13 usr; 0 prp; 1-4 aty)
% 0.59/0.75 % Number of functors : 59 ( 59 usr; 16 con; 0-5 aty)
% 0.59/0.75 % Number of variables : 1734 ( 443 sgn)
% 0.66/0.75 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.66/0.75
% 0.66/0.75 % Comments :
% 0.66/0.75 %------------------------------------------------------------------------------
% 0.66/0.75 cnf(cls_parts__insert_0,axiom,
% 0.66/0.75 c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_parts__insert2_0,axiom,
% 0.66/0.75 c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(V_Y,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 0.66/0.75 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent))
% 0.66/0.75 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.75 | ~ c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.75 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.66/0.75 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_Key__image__eq_0,axiom,
% 0.66/0.75 ( c_in(V_x,V_A,tc_nat)
% 0.66/0.75 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_Key__image__eq_1,axiom,
% 0.66/0.75 ( c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
% 0.66/0.75 | ~ c_in(V_x,V_A,tc_nat) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_parts__cut_0,axiom,
% 0.66/0.75 ( c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
% 0.66/0.75 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.66/0.75 | ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_ns__sharedp_ONil_0,axiom,
% 0.66/0.75 c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_analz__cong_0,axiom,
% 0.66/0.75 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 0.66/0.75 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 0.66/0.75 | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_analz__analz__Un_0,axiom,
% 0.66/0.75 c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_parts__Un_0,axiom,
% 0.66/0.75 c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_UnE_0,axiom,
% 0.66/0.75 ( c_in(V_c,V_B,T_a)
% 0.66/0.75 | c_in(V_c,V_A,T_a)
% 0.66/0.75 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_UnCI_0,axiom,
% 0.66/0.75 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.66/0.75 | ~ c_in(V_c,V_B,T_a) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_UnCI_1,axiom,
% 0.66/0.75 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.66/0.75 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_not__symKeys__pubK_0,axiom,
% 0.66/0.75 ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.66/0.75 ( ~ class_Lattices_Olattice(T_a)
% 0.66/0.75 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_sup__left__idem_0,axiom,
% 0.66/0.75 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.75 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_Un__left__absorb_0,axiom,
% 0.66/0.75 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.66/0.75 ( ~ class_Lattices_Olattice(T_a)
% 0.66/0.75 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_sup__commute_0,axiom,
% 0.66/0.75 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.75 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_Un__commute_0,axiom,
% 0.66/0.75 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.66/0.75 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.66/0.75 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.66/0.75 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.66/0.75 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.66/0.75 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.66/0.75 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_Un__empty_0,axiom,
% 0.66/0.75 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.66/0.75 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_Un__empty_1,axiom,
% 0.66/0.75 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.66/0.75 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.75
% 0.66/0.75 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Olattice(T_a)
% 0.66/0.76 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Olattice(T_a)
% 0.66/0.76 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_le__sup__iff_2,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.66/0.76 | ~ c_lessequals(V_y,V_z,T_a)
% 0.66/0.76 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup__least_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.66/0.76 | ~ c_lessequals(V_z,V_x,T_a)
% 0.66/0.76 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup__ge2_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup__ge1_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_le__supI_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.66/0.76 | ~ c_lessequals(V_b,V_x,T_a)
% 0.66/0.76 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__least_0,axiom,
% 0.66/0.76 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.66/0.76 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.66/0.76 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__upper1_0,axiom,
% 0.66/0.76 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__upper2_0,axiom,
% 0.66/0.76 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__subset__iff_2,axiom,
% 0.66/0.76 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.66/0.76 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.66/0.76 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Olattice(T_a)
% 0.66/0.76 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Olattice(T_a)
% 0.66/0.76 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 0.66/0.76 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup__left__commute_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup__assoc_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__assoc_0,axiom,
% 0.66/0.76 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__left__commute_0,axiom,
% 0.66/0.76 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup__idem_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__absorb_0,axiom,
% 0.66/0.76 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__insert__left_0,axiom,
% 0.66/0.76 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__insert__right_0,axiom,
% 0.66/0.76 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_symKeys__invKey__iff_0,axiom,
% 0.66/0.76 ( c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.66/0.76 | ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_symKeys__invKey__iff_1,axiom,
% 0.66/0.76 ( c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)
% 0.66/0.76 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup1E_0,axiom,
% 0.66/0.76 ( hBOOL(hAPP(V_B,V_x))
% 0.66/0.76 | hBOOL(hAPP(V_A,V_x))
% 0.66/0.76 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup1CI_0,axiom,
% 0.66/0.76 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.66/0.76 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup1CI_1,axiom,
% 0.66/0.76 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.66/0.76 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_invKey__K_0,axiom,
% 0.66/0.76 ( c_Message_OinvKey(V_K) = V_K
% 0.66/0.76 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup__bot__right_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.66/0.76 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup__bot__left_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.66/0.76 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__empty__left_0,axiom,
% 0.66/0.76 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__empty__right_0,axiom,
% 0.66/0.76 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sup__absorb1_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.66/0.76 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_le__iff__sup_1,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.66/0.76 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_le__iff__sup_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.66/0.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__absorb1_0,axiom,
% 0.66/0.76 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.66/0.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__absorb2_0,axiom,
% 0.66/0.76 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.66/0.76 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_subset__Un__eq_1,axiom,
% 0.66/0.76 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.66/0.76 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
% 0.66/0.76 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__mono_0,axiom,
% 0.66/0.76 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.66/0.76 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.66/0.76 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_not__symKeys__priK_0,axiom,
% 0.66/0.76 ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_le__sup__iff_1,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(V_y,V_z,T_a)
% 0.66/0.76 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_le__sup__iff_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(V_x,V_z,T_a)
% 0.66/0.76 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_le__supI2_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.66/0.76 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_le__supI1_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.66/0.76 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_le__supE_1,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(V_b,V_x,T_a)
% 0.66/0.76 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_le__supE_0,axiom,
% 0.66/0.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.66/0.76 | c_lessequals(V_a,V_x,T_a)
% 0.66/0.76 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__subset__iff_0,axiom,
% 0.66/0.76 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.66/0.76 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__subset__iff_1,axiom,
% 0.66/0.76 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.66/0.76 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Un__empty_2,axiom,
% 0.66/0.76 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_image__Un_0,axiom,
% 0.66/0.76 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_sym__shrK_0,axiom,
% 0.66/0.76 c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_insert__is__Un_0,axiom,
% 0.66/0.76 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_in__parts__UnE_0,axiom,
% 0.66/0.76 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.66/0.76 | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(V_c,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_set__append_0,axiom,
% 0.66/0.76 c_List_Oset(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),tc_fun(T_a,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 0.66/0.76 ( c_in(V_c,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__Decrypt_H_0,axiom,
% 0.66/0.76 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.66/0.76 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_parts__synth_0,axiom,
% 0.66/0.76 c_Message_Oparts(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__synth_0,axiom,
% 0.66/0.76 c_Message_Oanalz(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__synth__Un_0,axiom,
% 0.66/0.76 c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(V_G),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__image__freshK__lemma_3,axiom,
% 0.66/0.76 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__image__freshK__lemma_4,axiom,
% 0.66/0.76 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(V_K,V_nE,tc_nat)
% 0.66/0.76 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__image__freshK__lemma_0,axiom,
% 0.66/0.76 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(V_K,V_nE,tc_nat)
% 0.66/0.76 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__image__freshK__lemma_2,axiom,
% 0.66/0.76 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(V_K,V_nE,tc_nat)
% 0.66/0.76 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_parts__Un__subset1_0,axiom,
% 0.66/0.76 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_parts__Un__subset2_0,axiom,
% 0.66/0.76 c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__Un_0,axiom,
% 0.66/0.76 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__subset__cong_0,axiom,
% 0.66/0.76 ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.76 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.76 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_synth__Un_0,axiom,
% 0.66/0.76 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_parts__insert__subset__Un_0,axiom,
% 0.66/0.76 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.76 | ~ c_in(V_X,V_G,tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__image__freshK__lemma_5,axiom,
% 0.66/0.76 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__image__freshK__lemma_1,axiom,
% 0.66/0.76 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.76 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 0.66/0.76 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent))
% 0.66/0.76 | ~ c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.76 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.66/0.76 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 0.66/0.76 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_parts__insert__knows__A_0,axiom,
% 0.66/0.76 c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(V_A,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 0.66/0.76 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent))
% 0.66/0.76 | ~ 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_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.76 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 0.66/0.76 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 0.66/0.76 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 0.66/0.76 ( c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Fake__analz__insert_0,axiom,
% 0.66/0.76 ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.76 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_parts__insert__spies_0,axiom,
% 0.66/0.76 c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_spies__Gets__rev_0,axiom,
% 0.66/0.76 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_analz__empty_0,axiom,
% 0.66/0.76 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)) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_secrecy__lemma_0,axiom,
% 0.66/0.76 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.76 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.76 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.76 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.76 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.76 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_A__trusts__NS4_0,axiom,
% 0.66/0.76 ( c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.76 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.76 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.76 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.76 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.76 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_Spy__not__see__encrypted__key_0,axiom,
% 0.66/0.76 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.76 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.76 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.76 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.76 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.76 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_B__trusts__NS3_0,axiom,
% 0.66/0.76 ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(V_A,V_B,V_K,V_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.76 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.76 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.76 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.66/0.76
% 0.66/0.76 cnf(cls_NS4__implies__NS3_0,axiom,
% 0.66/0.76 ( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.76 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ns__sharedp_OOops_0,axiom,
% 0.66/0.77 ( 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(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 0.66/0.77 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | V_A = c_Message_Oagent_OServer
% 0.66/0.77 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg)
% 0.66/0.77 | c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | c_in(c_Event_Oevent_OSays(V_A,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(V_A,V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | V_A = c_Message_Oagent_OSpy
% 0.66/0.77 | ~ c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_B__trusts__NS5_0,axiom,
% 0.66/0.77 ( c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.77 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.77 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(V_K,V_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(V_K,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_spies__Notes__rev_0,axiom,
% 0.66/0.77 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 0.66/0.77 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent))
% 0.66/0.77 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 0.66/0.77 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ns__shared_ONS2_0,axiom,
% 0.66/0.77 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ 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_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 0.66/0.77 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_spies__Notes__rev_1,axiom,
% 0.66/0.77 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)
% 0.66/0.77 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ns__shared_ONS4_0,axiom,
% 0.66/0.77 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.66/0.77 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Fake__parts__sing_0,axiom,
% 0.66/0.77 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ns__sharedp_OFake_0,axiom,
% 0.66/0.77 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 0.66/0.77 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_spies__Says__rev_0,axiom,
% 0.66/0.77 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_used__Notes_0,axiom,
% 0.66/0.77 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_used__Says_0,axiom,
% 0.66/0.77 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ns__shared_ONS5_0,axiom,
% 0.66/0.77 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.66/0.77 | ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Fake__parts__sing__imp__Un_0,axiom,
% 0.66/0.77 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Fake__parts__insert_0,axiom,
% 0.66/0.77 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__mono_0,axiom,
% 0.66/0.77 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__insert__cong_0,axiom,
% 0.66/0.77 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 0.66/0.77 | c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(V_X,V_H_H,tc_Message_Omsg)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 0.66/0.77 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 0.66/0.77 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 0.66/0.77 c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 0.66/0.77 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 0.66/0.77 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_synth__analz__insert__eq_0,axiom,
% 0.66/0.77 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_synth__analz__insert__eq_1,axiom,
% 0.66/0.77 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 0.66/0.77 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Fake__analz__eq_0,axiom,
% 0.66/0.77 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_gen__analz__insert__eq_0,axiom,
% 0.66/0.77 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 0.66/0.77 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__subset__iff_0,axiom,
% 0.66/0.77 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__subset__iff_1,axiom,
% 0.66/0.77 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__empty_0,axiom,
% 0.66/0.77 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)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__mono_0,axiom,
% 0.66/0.77 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__increasing_0,axiom,
% 0.66/0.77 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_neq__shrK_0,axiom,
% 0.66/0.77 c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_shrK__in__used_0,axiom,
% 0.66/0.77 c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_publicKey__in__initState_0,axiom,
% 0.66/0.77 c_in(hAPP(c_Message_Omsg_OKey,c_Public_OpublicKey(V_b,V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_shrK__in__initState_0,axiom,
% 0.66/0.77 c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_publicKey__into__used_0,axiom,
% 0.66/0.77 c_in(hAPP(c_Message_Omsg_OKey,c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_initState__into__used_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 0.66/0.77 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 0.66/0.77 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.66/0.77 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.66/0.77 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_neq__Nil__conv_1,axiom,
% 0.66/0.77 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_append__Nil2_0,axiom,
% 0.66/0.77 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.66/0.77 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_self__append__conv_1,axiom,
% 0.66/0.77 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_append__Nil_0,axiom,
% 0.66/0.77 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_self__append__conv2_1,axiom,
% 0.66/0.77 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.66/0.77 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.66/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.66/0.77 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.66/0.77 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.66/0.77 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.66/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.66/0.77 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.66/0.77 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.66/0.77 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_append__self__conv_0,axiom,
% 0.66/0.77 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.66/0.77 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_self__append__conv_0,axiom,
% 0.66/0.77 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.66/0.77 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_append__self__conv2_0,axiom,
% 0.66/0.77 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.66/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_self__append__conv2_0,axiom,
% 0.66/0.77 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.66/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.66/0.77 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_synth__synthD_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_synth_OInj_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_in__set__conv__decomp_1,axiom,
% 0.66/0.77 c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_in__set__conv__decomp__last_2,axiom,
% 0.66/0.77 ( c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a)
% 0.66/0.77 | c_in(V_x,c_List_Oset(V_xb,T_a),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_in__set__conv__decomp__first_2,axiom,
% 0.66/0.77 ( c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a)
% 0.66/0.77 | c_in(V_x,c_List_Oset(V_xa,T_a),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_image__image_0,axiom,
% 0.66/0.77 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_imageI_0,axiom,
% 0.66/0.77 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 0.66/0.77 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_image__eqI_0,axiom,
% 0.66/0.77 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 0.66/0.77 | ~ c_in(V_x,V_A,T_b) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_image__iff_2,axiom,
% 0.66/0.77 ( ~ c_in(V_x,V_A,T_b)
% 0.66/0.77 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_rev__image__eqI_0,axiom,
% 0.66/0.77 ( ~ c_in(V_x,V_A,T_aa)
% 0.66/0.77 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insert__absorb_0,axiom,
% 0.66/0.77 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.66/0.77 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insert__ident_0,axiom,
% 0.66/0.77 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.66/0.77 | c_in(V_x,V_B,T_a)
% 0.66/0.77 | c_in(V_x,V_A,T_a)
% 0.66/0.77 | V_A = V_B ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_bex__empty_0,axiom,
% 0.66/0.77 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.66/0.77 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insertCI_1,axiom,
% 0.66/0.77 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insertI1_0,axiom,
% 0.66/0.77 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insert__iff_1,axiom,
% 0.66/0.77 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insertE_0,axiom,
% 0.66/0.77 ( c_in(V_a,V_A,T_a)
% 0.66/0.77 | V_a = V_b
% 0.66/0.77 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_emptyE_0,axiom,
% 0.66/0.77 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_empty__iff_0,axiom,
% 0.66/0.77 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ball__empty_0,axiom,
% 0.66/0.77 ( hBOOL(hAPP(V_P,V_x))
% 0.66/0.77 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ex__in__conv_0,axiom,
% 0.66/0.77 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_set__mp_0,axiom,
% 0.66/0.77 ( c_in(V_x,V_B,T_a)
% 0.66/0.77 | ~ c_in(V_x,V_A,T_a)
% 0.66/0.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_subsetD_0,axiom,
% 0.66/0.77 ( c_in(V_c,V_B,T_a)
% 0.66/0.77 | ~ c_in(V_c,V_A,T_a)
% 0.66/0.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_set__rev__mp_0,axiom,
% 0.66/0.77 ( c_in(V_x,V_B,T_a)
% 0.66/0.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.66/0.77 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_subset__iff_0,axiom,
% 0.66/0.77 ( c_in(V_t,V_B,T_a)
% 0.66/0.77 | ~ c_in(V_t,V_A,T_a)
% 0.66/0.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insertCI_0,axiom,
% 0.66/0.77 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 0.66/0.77 | ~ c_in(V_a,V_B,T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insert__iff_2,axiom,
% 0.66/0.77 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 0.66/0.77 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_le__funD_0,axiom,
% 0.66/0.77 ( ~ class_HOL_Oord(T_b)
% 0.66/0.77 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.66/0.77 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_privateKey__into__used_0,axiom,
% 0.66/0.77 c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_shrK__injective_0,axiom,
% 0.66/0.77 ( c_Public_OshrK(V_x) != c_Public_OshrK(V_y)
% 0.66/0.77 | V_x = V_y ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
% 0.66/0.77 c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) = c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_synth__analz__mono_0,axiom,
% 0.66/0.77 ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.66/0.77 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_not__Cons__self_0,axiom,
% 0.66/0.77 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_not__Cons__self2_0,axiom,
% 0.66/0.77 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_empty__is__image_1,axiom,
% 0.66/0.77 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_synth__idem_0,axiom,
% 0.66/0.77 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__insert__Agent_0,axiom,
% 0.66/0.77 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 0.66/0.77 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(V_e,V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_subset__insert_0,axiom,
% 0.66/0.77 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.66/0.77 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.66/0.77 | c_in(V_x,V_A,T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_subset__insert_1,axiom,
% 0.66/0.77 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.66/0.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.66/0.77 | c_in(V_x,V_A,T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_subset__insert__iff_1,axiom,
% 0.66/0.77 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.66/0.77 | c_in(V_x,V_A,T_a)
% 0.66/0.77 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_subset__insert__iff_2,axiom,
% 0.66/0.77 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.66/0.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.66/0.77 | c_in(V_x,V_A,T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insert__image_0,axiom,
% 0.66/0.77 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 0.66/0.77 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.66/0.77 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.66/0.77 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insert__code_2,axiom,
% 0.66/0.77 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.66/0.77 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_insert__subset_0,axiom,
% 0.66/0.77 ( c_in(V_x,V_B,T_a)
% 0.66/0.77 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Agent__synth_0,axiom,
% 0.66/0.77 c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_synth_OAgent_0,axiom,
% 0.66/0.77 c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.66/0.77 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.66/0.77 | c_in(V_x,V_xa,T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__subset__knows__Gets_0,axiom,
% 0.66/0.77 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_append__Cons_0,axiom,
% 0.66/0.77 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.66/0.77 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_pushes_I8_J_0,axiom,
% 0.66/0.77 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_singleton__inject_0,axiom,
% 0.66/0.77 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.66/0.77 | V_a = V_b ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_priK__in__initState_0,axiom,
% 0.66/0.77 c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_OinitState(V_A),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_image__empty_0,axiom,
% 0.66/0.77 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__subset__iff_1,axiom,
% 0.66/0.77 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__subset__iff_0,axiom,
% 0.66/0.77 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__increasing_0,axiom,
% 0.66/0.77 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 0.66/0.77 c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 0.66/0.77 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.66/0.77 | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 0.66/0.77 c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 0.66/0.77 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 0.66/0.77 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__Spy__Gets_0,axiom,
% 0.66/0.77 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 0.66/0.77 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 0.66/0.77 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__Says_0,axiom,
% 0.66/0.77 c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__subset__knows__Says_0,axiom,
% 0.66/0.77 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A_H,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_event_Osimps_I4_J_0,axiom,
% 0.66/0.77 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_event_Osimps_I6_J_0,axiom,
% 0.66/0.77 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_event_Osimps_I5_J_0,axiom,
% 0.66/0.77 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_event_Osimps_I7_J_0,axiom,
% 0.66/0.77 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_rev__append_0,axiom,
% 0.66/0.77 c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_takeWhile__eq__all__conv_2,axiom,
% 0.66/0.77 ( c_List_OtakeWhile(V_P,V_xs,T_a) = V_xs
% 0.66/0.77 | ~ hBOOL(hAPP(V_P,c_List_Osko__List__XtakeWhile__eq__all__conv__1__1(V_P,V_xs,T_a))) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_takeWhile_Osimps_I2_J_0,axiom,
% 0.66/0.77 ( c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_OtakeWhile(V_P,V_xs,T_a),T_a)
% 0.66/0.77 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_takeWhile__cong_2,axiom,
% 0.66/0.77 ( c_List_OtakeWhile(V_P,V_x,T_a) = c_List_OtakeWhile(V_Q,V_x,T_a)
% 0.66/0.77 | ~ hBOOL(hAPP(V_Q,c_List_Osko__List__XtakeWhile__cong__1__1(V_P,V_Q,V_x,T_a)))
% 0.66/0.77 | ~ hBOOL(hAPP(V_P,c_List_Osko__List__XtakeWhile__cong__1__1(V_P,V_Q,V_x,T_a))) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_takeWhile__cong_1,axiom,
% 0.66/0.77 ( c_List_OtakeWhile(V_P,V_x,T_a) = c_List_OtakeWhile(V_Q,V_x,T_a)
% 0.66/0.77 | hBOOL(hAPP(V_Q,c_List_Osko__List__XtakeWhile__cong__1__1(V_P,V_Q,V_x,T_a)))
% 0.66/0.77 | hBOOL(hAPP(V_P,c_List_Osko__List__XtakeWhile__cong__1__1(V_P,V_Q,V_x,T_a))) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ns__shared_OOops_0,axiom,
% 0.66/0.77 ( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ns__shared_ONS3_0,axiom,
% 0.66/0.77 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | V_A = c_Message_Oagent_OServer
% 0.66/0.77 | ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Says__Server__message__form_2,axiom,
% 0.66/0.77 ( V_K_H = c_Public_OshrK(V_A)
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_unique__session__keys_0,axiom,
% 0.66/0.77 ( V_A = V_A_H
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_unique__session__keys_1,axiom,
% 0.66/0.77 ( V_NA = V_NA_H
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_unique__session__keys_2,axiom,
% 0.66/0.77 ( V_B = V_B_H
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_unique__session__keys_3,axiom,
% 0.66/0.77 ( V_X = V_X_H
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Says__Server__message__form_1,axiom,
% 0.66/0.77 ( V_X = c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_ns__shared_OFake_0,axiom,
% 0.66/0.77 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_lemma1_0,axiom,
% 0.66/0.77 ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_lemma2_0,axiom,
% 0.66/0.77 ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__Spy__Notes_0,axiom,
% 0.66/0.77 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 0.66/0.77 c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__Spy__Says_0,axiom,
% 0.66/0.77 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 0.66/0.77 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Notes__imp__used_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Issues__def_0,axiom,
% 0.66/0.77 ( c_in(c_Event_Oevent_OSays(V_A,V_B,v_sko__NS__Shared__Mirabelle__XIssues__def__1(V_A,V_B,V_X,V_evs)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_set__ConsD_0,axiom,
% 0.66/0.77 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a)
% 0.66/0.77 | V_y = V_x
% 0.66/0.77 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_MPair__used_1,axiom,
% 0.66/0.77 ( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_MPair__used_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_synth_OMPair_0,axiom,
% 0.66/0.77 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_MPair__synth_1,axiom,
% 0.66/0.77 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.77 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_MPair__synth_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.77 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_set__empty_0,axiom,
% 0.66/0.77 ( c_List_Oset(V_xs,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.66/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_set__empty2_1,axiom,
% 0.66/0.77 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_set__empty2_0,axiom,
% 0.66/0.77 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_List_Oset(V_xs,T_a)
% 0.66/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_set__empty_1,axiom,
% 0.66/0.77 c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__insertI_0,axiom,
% 0.66/0.77 ( c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__cut__eq_0,axiom,
% 0.66/0.77 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 0.66/0.77 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__trans_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__emptyE_0,axiom,
% 0.66/0.77 ~ c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__insert__MPair_0,axiom,
% 0.66/0.77 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Crypt__synth_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.77 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_pushes_I12_J_0,axiom,
% 0.66/0.77 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Key__synth__eq_1,axiom,
% 0.66/0.77 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Key__synth_0,axiom,
% 0.66/0.77 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__trans_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.77 | ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__cut_0,axiom,
% 0.66/0.77 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__insert__eq_0,axiom,
% 0.66/0.77 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 0.66/0.77 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__insertI_0,axiom,
% 0.66/0.77 ( c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_pushes_I5_J_0,axiom,
% 0.66/0.77 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__insert__Crypt_0,axiom,
% 0.66/0.77 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__insert__MPair_0,axiom,
% 0.66/0.77 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__Crypt__if_0,axiom,
% 0.66/0.77 ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__Crypt__if_1,axiom,
% 0.66/0.77 ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.77 | c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Crypt__synth__analz_1,axiom,
% 0.66/0.77 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Crypt__synth__analz_0,axiom,
% 0.66/0.77 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__insert__Key_0,axiom,
% 0.66/0.77 c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__image__Key_0,axiom,
% 0.66/0.77 c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__subset__parts_0,axiom,
% 0.66/0.77 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_pushes_I6_J_0,axiom,
% 0.66/0.77 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Nonce__synth__eq_1,axiom,
% 0.66/0.77 ( c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Nonce__synth__eq_0,axiom,
% 0.66/0.77 ( c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Nonce__synth_0,axiom,
% 0.66/0.77 ( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__image__Key_0,axiom,
% 0.66/0.77 c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 0.66/0.77 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__mono__contra_I3_J_0,axiom,
% 0.66/0.77 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_parts__insert__Nonce_0,axiom,
% 0.66/0.77 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_pushes_I9_J_0,axiom,
% 0.66/0.77 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_rev__singleton__conv_0,axiom,
% 0.66/0.77 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 0.66/0.77 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_singleton__rev__conv_0,axiom,
% 0.66/0.77 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 0.66/0.77 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_rev__singleton__conv_1,axiom,
% 0.66/0.77 c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_singleton__rev__conv_1,axiom,
% 0.66/0.77 c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_pushes_I2_J_0,axiom,
% 0.66/0.77 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_analz__insert__Nonce_0,axiom,
% 0.66/0.77 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_takeWhile_Osimps_I2_J_1,axiom,
% 0.66/0.77 ( c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a)
% 0.66/0.77 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__Spy__Notes_1,axiom,
% 0.66/0.77 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)
% 0.66/0.77 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_A__authenticates__and__keydist__to__B_0,axiom,
% 0.66/0.77 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),V_evs)
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.77 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.77 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Server__not__bad_0,axiom,
% 0.66/0.77 ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_cert__A__form_1,axiom,
% 0.66/0.77 ( V_X = c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.77 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_knows__Nil_0,axiom,
% 0.66/0.77 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Spy__see__shrK_1,axiom,
% 0.66/0.77 ( c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Spy__see__shrK_0,axiom,
% 0.66/0.77 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Spy__analz__shrK_0,axiom,
% 0.66/0.77 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_Spy__analz__shrK_1,axiom,
% 0.66/0.77 ( c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.77
% 0.66/0.77 cnf(cls_A__trusts__NS4__lemma_0,axiom,
% 0.66/0.77 ( c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.77 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_A__trusts__NS2_0,axiom,
% 0.66/0.78 ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.78 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.78 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Says__S__message__form_1,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | V_X = c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
% 0.66/0.78 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.66/0.78 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_synth__subset__iff_0,axiom,
% 0.66/0.78 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.78 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_synth__subset__iff_1,axiom,
% 0.66/0.78 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_insert__commute_0,axiom,
% 0.66/0.78 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_publicKey__inject_0,axiom,
% 0.66/0.78 ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)
% 0.66/0.78 | V_b = V_c ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_publicKey__inject_1,axiom,
% 0.66/0.78 ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)
% 0.66/0.78 | V_A = V_A_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_singletonE_0,axiom,
% 0.66/0.78 ( V_b = V_a
% 0.66/0.78 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 0.66/0.78 c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_image__subset__iff_0,axiom,
% 0.66/0.78 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 0.66/0.78 | ~ c_in(V_x,V_A,T_b)
% 0.66/0.78 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_invKey__shrK_0,axiom,
% 0.66/0.78 c_Message_OinvKey(c_Public_OshrK(V_A)) = c_Public_OshrK(V_A) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_insert__subset_1,axiom,
% 0.66/0.78 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_subset__insertI2_0,axiom,
% 0.66/0.78 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_invKey__eq_0,axiom,
% 0.66/0.78 ( c_Message_OinvKey(V_K) != c_Message_OinvKey(V_K_H)
% 0.66/0.78 | V_K = V_K_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_append__same__eq_0,axiom,
% 0.66/0.78 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.66/0.78 | V_ys = V_zs ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_same__append__eq_0,axiom,
% 0.66/0.78 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.66/0.78 | V_ys = V_zs ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_used__parts__subset__parts_0,axiom,
% 0.66/0.78 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.78 | ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_empty__is__image_0,axiom,
% 0.66/0.78 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.66/0.78 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_used__nil__subset_0,axiom,
% 0.66/0.78 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_synth__cut_0,axiom,
% 0.66/0.78 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_synth__mono_0,axiom,
% 0.66/0.78 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_empty__subsetI_0,axiom,
% 0.66/0.78 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_bot__least_0,axiom,
% 0.66/0.78 ( ~ class_Orderings_Obot(T_a)
% 0.66/0.78 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_initState__subset__knows_0,axiom,
% 0.66/0.78 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_insert__not__empty_0,axiom,
% 0.66/0.78 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_insert__absorb2_0,axiom,
% 0.66/0.78 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_insert__code_0,axiom,
% 0.66/0.78 ( hBOOL(hAPP(V_A,V_x))
% 0.66/0.78 | V_y = V_x
% 0.66/0.78 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_ns__shared_ONS1_0,axiom,
% 0.66/0.78 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.78 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_subset__insertI_0,axiom,
% 0.66/0.78 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_synth__insert_0,axiom,
% 0.66/0.78 c_lessequals(c_Set_Oinsert(V_X,c_Message_Osynth(V_H),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts__insert__Agent_0,axiom,
% 0.66/0.78 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_knows__Notes_0,axiom,
% 0.66/0.78 c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_shrK__neq__pubK_0,axiom,
% 0.66/0.78 c_Public_OpublicKey(V_b,V_C) != c_Public_OshrK(V_A) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_bot1E_0,axiom,
% 0.66/0.78 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_event_Osimps_I2_J_1,axiom,
% 0.66/0.78 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 0.66/0.78 | V_msg = V_msg_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_event_Osimps_I2_J_0,axiom,
% 0.66/0.78 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 0.66/0.78 | V_agent = V_agent_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_takeWhile__tail_0,axiom,
% 0.66/0.78 ( c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_l,T_a),T_a),T_a) = c_List_OtakeWhile(V_P,V_xs,T_a)
% 0.66/0.78 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_equalityI_0,axiom,
% 0.66/0.78 ( V_A = V_B
% 0.66/0.78 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_set__eq__subset_2,axiom,
% 0.66/0.78 ( V_A = V_B
% 0.66/0.78 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_order__eq__iff_2,axiom,
% 0.66/0.78 ( ~ class_Orderings_Oorder(T_a)
% 0.66/0.78 | V_x = V_y
% 0.66/0.78 | ~ c_lessequals(V_y,V_x,T_a)
% 0.66/0.78 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_order__antisym_0,axiom,
% 0.66/0.78 ( ~ class_Orderings_Oorder(T_a)
% 0.66/0.78 | V_x = V_y
% 0.66/0.78 | ~ c_lessequals(V_y,V_x,T_a)
% 0.66/0.78 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_order__antisym__conv_0,axiom,
% 0.66/0.78 ( ~ class_Orderings_Oorder(T_a)
% 0.66/0.78 | V_x = V_y
% 0.66/0.78 | ~ c_lessequals(V_x,V_y,T_a)
% 0.66/0.78 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_event_Osimps_I8_J_0,axiom,
% 0.66/0.78 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts__insert__subset_0,axiom,
% 0.66/0.78 c_lessequals(c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_event_Osimps_I3_J_1,axiom,
% 0.66/0.78 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 0.66/0.78 | V_msg = V_msg_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_event_Osimps_I3_J_0,axiom,
% 0.66/0.78 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 0.66/0.78 | V_agent = V_agent_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.66/0.78 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.66/0.78 | V_a = V_d
% 0.66/0.78 | V_a = V_c ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.66/0.78 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.66/0.78 | V_b = V_c
% 0.66/0.78 | V_a = V_c ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.66/0.78 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.66/0.78 | V_a = V_d
% 0.66/0.78 | V_b = V_d ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.66/0.78 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.66/0.78 | V_b = V_c
% 0.66/0.78 | V_b = V_d ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_subset__empty_0,axiom,
% 0.66/0.78 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_subset__empty_1,axiom,
% 0.66/0.78 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_empty__not__insert_0,axiom,
% 0.66/0.78 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Issues__def_1,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(V_A,V_B,V_X,V_evs),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_set__subset__Cons_0,axiom,
% 0.66/0.78 c_lessequals(c_List_Oset(V_xs,T_a),c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),tc_fun(T_a,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_image__insert_0,axiom,
% 0.66/0.78 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 0.66/0.78 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_insert__code_1,axiom,
% 0.66/0.78 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_insert__subset_2,axiom,
% 0.66/0.78 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_in(V_x,V_B,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_invKey_0,axiom,
% 0.66/0.78 c_Message_OinvKey(c_Message_OinvKey(V_K)) = V_K ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_pubK__neq__shrK_0,axiom,
% 0.66/0.78 c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.66/0.78 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_event_Osimps_I9_J_0,axiom,
% 0.66/0.78 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_synth__trans_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.66/0.78 | ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_synth__increasing_0,axiom,
% 0.66/0.78 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_xt1_I6_J_0,axiom,
% 0.66/0.78 ( ~ class_Orderings_Oorder(T_a)
% 0.66/0.78 | c_lessequals(V_z,V_x,T_a)
% 0.66/0.78 | ~ c_lessequals(V_z,V_y,T_a)
% 0.66/0.78 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_order__trans_0,axiom,
% 0.66/0.78 ( ~ class_Orderings_Opreorder(T_a)
% 0.66/0.78 | c_lessequals(V_x,V_z,T_a)
% 0.66/0.78 | ~ c_lessequals(V_y,V_z,T_a)
% 0.66/0.78 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_equalityE_0,axiom,
% 0.66/0.78 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_subset__refl_0,axiom,
% 0.66/0.78 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_subset__trans_0,axiom,
% 0.66/0.78 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_predicate1D_0,axiom,
% 0.66/0.78 ( hBOOL(hAPP(V_Q,V_x))
% 0.66/0.78 | ~ hBOOL(hAPP(V_P,V_x))
% 0.66/0.78 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_order__eq__iff_0,axiom,
% 0.66/0.78 ( ~ class_Orderings_Oorder(T_a)
% 0.66/0.78 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_order__eq__refl_0,axiom,
% 0.66/0.78 ( ~ class_Orderings_Opreorder(T_a)
% 0.66/0.78 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_rev__predicate1D_0,axiom,
% 0.66/0.78 ( hBOOL(hAPP(V_Q,V_x))
% 0.66/0.78 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_list_Oinject_0,axiom,
% 0.66/0.78 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.66/0.78 | V_a = V_a_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_list_Oinject_1,axiom,
% 0.66/0.78 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.66/0.78 | V_list = V_list_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_image__is__empty_0,axiom,
% 0.66/0.78 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.66/0.78 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
% 0.66/0.78 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 0.66/0.78 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_priK__neq__shrK_0,axiom,
% 0.66/0.78 c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_singleton__iff_1,axiom,
% 0.66/0.78 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_knows__Gets_0,axiom,
% 0.66/0.78 ( c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.66/0.78 | V_A = c_Message_Oagent_OSpy ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_subset__singletonD_0,axiom,
% 0.66/0.78 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.66/0.78 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_pushes_I1_J_0,axiom,
% 0.66/0.78 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_ns__shared_ONil_0,axiom,
% 0.66/0.78 c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 0.66/0.78 c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_Set_Oinsert(V_x,c_List_Oset(V_xs,T_a),T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_image__mono_0,axiom,
% 0.66/0.78 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_subset__image__iff_2,axiom,
% 0.66/0.78 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.66/0.78 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_used__Gets_0,axiom,
% 0.66/0.78 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oused(V_evs) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_insert__mono_0,axiom,
% 0.66/0.78 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 0.66/0.78 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_append1__eq__conv_0,axiom,
% 0.66/0.78 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.66/0.78 | V_xs = V_ys ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_append1__eq__conv_1,axiom,
% 0.66/0.78 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.66/0.78 | V_x = V_y ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_shrK__neq__priK_0,axiom,
% 0.66/0.78 c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) != c_Public_OshrK(V_A) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz__insert_0,axiom,
% 0.66/0.78 c_lessequals(c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_append__assoc_0,axiom,
% 0.66/0.78 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_append__eq__appendI_0,axiom,
% 0.66/0.78 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.66/0.78 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.66/0.78 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 0.66/0.78 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 0.66/0.78 | V_agent = V_agent_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 0.66/0.78 c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_linorder__linear_0,axiom,
% 0.66/0.78 ( ~ class_Orderings_Olinorder(T_a)
% 0.66/0.78 | c_lessequals(V_y,V_x,T_a)
% 0.66/0.78 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_B__trusts__NS5__lemma_0,axiom,
% 0.66/0.78 ( c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.78 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.78 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Crypt__notin__initState_0,axiom,
% 0.66/0.78 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_MPair__synth__analz_1,axiom,
% 0.66/0.78 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_MPair__synth__analz_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_MPair__synth__analz_2,axiom,
% 0.66/0.78 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Crypt__notin__image__Key_0,axiom,
% 0.66/0.78 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Crypt__synth__eq_1,axiom,
% 0.66/0.78 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.66/0.78 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Crypt__synth__eq_0,axiom,
% 0.66/0.78 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.78 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Crypt__synth_1,axiom,
% 0.66/0.78 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 0.66/0.78 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_synth_OCrypt_0,axiom,
% 0.66/0.78 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_takeWhile__append1_0,axiom,
% 0.66/0.78 ( c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_OtakeWhile(V_P,V_xs,T_a)
% 0.66/0.78 | hBOOL(hAPP(V_P,V_x))
% 0.66/0.78 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_takeWhile__eq__all__conv_1,axiom,
% 0.66/0.78 ( c_List_OtakeWhile(V_P,V_xs,T_a) = V_xs
% 0.66/0.78 | c_in(c_List_Osko__List__XtakeWhile__eq__all__conv__1__1(V_P,V_xs,T_a),c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_takeWhile__cong_0,axiom,
% 0.66/0.78 ( c_List_OtakeWhile(V_P,V_x,T_a) = c_List_OtakeWhile(V_Q,V_x,T_a)
% 0.66/0.78 | c_in(c_List_Osko__List__XtakeWhile__cong__1__1(V_P,V_Q,V_x,T_a),c_List_Oset(V_x,T_a),T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Nonce__notin__initState_0,axiom,
% 0.66/0.78 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_shrK__in__knows_0,axiom,
% 0.66/0.78 c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Nonce__Key__image__eq_0,axiom,
% 0.66/0.78 ~ c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 0.66/0.78 ( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 0.66/0.78 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 0.66/0.78 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_A__trusts__NS5_0,axiom,
% 0.66/0.78 ( c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.78 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.78 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.78 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.78 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_spies__takeWhile_0,axiom,
% 0.66/0.78 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(V_P,V_evs,tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz_ODecrypt_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_usedI_0,axiom,
% 0.66/0.78 ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_spies__pubK_0,axiom,
% 0.66/0.78 c_in(hAPP(c_Message_Omsg_OKey,c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Notes__imp__knows_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_B__Issues__A_0,axiom,
% 0.66/0.78 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs)
% 0.66/0.78 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.66/0.78 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.78 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.78 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Says__imp__used_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Oops__parts__spies_0,axiom,
% 0.66/0.78 ( c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts__spies__evs__revD2_0,axiom,
% 0.66/0.78 c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts__spies__takeWhile__mono_0,axiom,
% 0.66/0.78 c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(V_P,V_evs,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Issues__def_3,axiom,
% 0.66/0.78 ( c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs)
% 0.66/0.78 | c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_x),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(V_evs,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_X,c_Message_Oparts(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_x),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz__spies__pubK_0,axiom,
% 0.66/0.78 c_in(hAPP(c_Message_Omsg_OKey,c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 0.66/0.78 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Gets__imp__knows__agents_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.66/0.78 | V_A = c_Message_Oagent_OSpy ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Issues__def_2,axiom,
% 0.66/0.78 ( ~ c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,v_sko__NS__Shared__Mirabelle__XIssues__def__1(V_A,V_B,V_X,V_evs)),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(V_evs,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
% 0.66/0.78 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 0.66/0.78 ( c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts__analz_0,axiom,
% 0.66/0.78 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Says__imp__knows_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz__idem_0,axiom,
% 0.66/0.78 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz_OSnd_0,axiom,
% 0.66/0.78 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz_OFst_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Nil__is__rev__conv_1,axiom,
% 0.66/0.78 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts_OSnd_0,axiom,
% 0.66/0.78 ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts_OFst_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_takeWhile__eq__all__conv_0,axiom,
% 0.66/0.78 ( c_List_OtakeWhile(V_P,V_xs,T_a) != V_xs
% 0.66/0.78 | hBOOL(hAPP(V_P,V_x))
% 0.66/0.78 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_spies__evs__rev_0,axiom,
% 0.66/0.78 c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 0.66/0.78 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 0.66/0.78 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_takeWhile_Osimps_I1_J_0,axiom,
% 0.66/0.78 c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_event_Osimps_I1_J_0,axiom,
% 0.66/0.78 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.66/0.78 | V_agent1 = V_agent1_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_event_Osimps_I1_J_1,axiom,
% 0.66/0.78 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.66/0.78 | V_agent2 = V_agent2_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_event_Osimps_I1_J_2,axiom,
% 0.66/0.78 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.66/0.78 | V_msg = V_msg_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts_OInj_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz_OInj_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Nil__is__rev__conv_0,axiom,
% 0.66/0.78 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 0.66/0.78 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_rev__is__rev__conv_0,axiom,
% 0.66/0.78 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 0.66/0.78 | V_xs = V_ys ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Says__imp__spies_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Spy__in__bad_0,axiom,
% 0.66/0.78 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 0.66/0.78 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts__idem_0,axiom,
% 0.66/0.78 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_set__rev_0,axiom,
% 0.66/0.78 c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 0.66/0.78 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz__parts_0,axiom,
% 0.66/0.78 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts_OBody_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_parts__partsD_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 0.66/0.78 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
% 0.66/0.78 | V_nat = V_nat_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_rev__rev__ident_0,axiom,
% 0.66/0.78 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_rev__swap_1,axiom,
% 0.66/0.78 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_rev__swap_0,axiom,
% 0.66/0.78 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 0.66/0.78 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 0.66/0.78 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz__analzD_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 0.66/0.78 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 0.66/0.78 | V_nat = V_nat_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_mem__def_1,axiom,
% 0.66/0.78 ( c_in(V_x,V_S,T_a)
% 0.66/0.78 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_mem__def_0,axiom,
% 0.66/0.78 ( hBOOL(hAPP(V_S,V_x))
% 0.66/0.78 | ~ c_in(V_x,V_S,T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_COMBB__def_0,axiom,
% 0.66/0.78 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_COMBC__def_0,axiom,
% 0.66/0.78 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 0.66/0.78 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 0.66/0.78 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 0.66/0.78 | V_nat = V_nat_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 0.66/0.78 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 0.66/0.78 | V_msg = V_msg_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 0.66/0.78 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 0.66/0.78 | V_msg1 = V_msg1_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 0.66/0.78 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 0.66/0.78 | V_msg2 = V_msg2_H ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 0.66/0.78 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 0.66/0.78 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 0.66/0.78 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_rev__is__Nil__conv_0,axiom,
% 0.66/0.78 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.66/0.78 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_set__takeWhileD_0,axiom,
% 0.66/0.78 ( c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.66/0.78 | ~ c_in(V_x,c_List_Oset(c_List_OtakeWhile(V_P,V_xs,T_a),T_a),T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 0.66/0.78 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 0.66/0.78 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_rev__is__Nil__conv_1,axiom,
% 0.66/0.78 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_set__takeWhileD_1,axiom,
% 0.66/0.78 ( hBOOL(hAPP(V_P,V_x))
% 0.66/0.78 | ~ c_in(V_x,c_List_Oset(c_List_OtakeWhile(V_P,V_xs,T_a),T_a),T_a) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_not__parts__not__analz_0,axiom,
% 0.66/0.78 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.66/0.78 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz__into__parts_0,axiom,
% 0.66/0.78 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_analz__conj__parts_0,axiom,
% 0.66/0.78 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.66/0.78 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_conjecture_0,negated_conjecture,
% 0.66/0.78 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_conjecture_1,negated_conjecture,
% 0.66/0.78 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_conjecture_2,negated_conjecture,
% 0.66/0.78 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_conjecture_3,negated_conjecture,
% 0.66/0.78 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_conjecture_4,negated_conjecture,
% 0.66/0.78 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.66/0.78 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.66/0.78 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.66/0.78 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.66/0.78 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.66/0.78 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.66/0.78 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.66/0.78 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.66/0.78 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.66/0.78 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.66/0.78 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.66/0.78 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.66/0.78 | ~ class_Orderings_Obot(T_1) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.66/0.78 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.66/0.78 | ~ class_HOL_Oord(T_1) ) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.66/0.78 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.66/0.78 class_Orderings_Opreorder(tc_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.66/0.78 class_Orderings_Olinorder(tc_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.66/0.78 class_Lattices_Olattice(tc_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.66/0.78 class_Orderings_Oorder(tc_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.66/0.78 class_Orderings_Obot(tc_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.66/0.78 class_HOL_Oord(tc_nat) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.66/0.78 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.66/0.78 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.66/0.78 class_Orderings_Opreorder(tc_bool) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.66/0.78 class_Lattices_Olattice(tc_bool) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.66/0.78 class_Orderings_Oorder(tc_bool) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.66/0.78 class_Orderings_Obot(tc_bool) ).
% 0.66/0.78
% 0.66/0.78 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.66/0.78 class_HOL_Oord(tc_bool) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 0.66/0.78 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 0.66/0.78 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.66/0.78 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.66/0.78
% 0.66/0.78 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.66/0.78 ( V_X = V_Y
% 0.66/0.78 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.66/0.78
% 0.66/0.78 %------------------------------------------------------------------------------
% 0.66/0.78 %-------------------------------------------
% 0.66/0.78 % Proof found
% 0.66/0.78 % SZS status Theorem for theBenchmark
% 0.66/0.78 % SZS output start Proof
% 0.66/0.78 %ClaNum:676(EqnAxiom:121)
% 0.66/0.78 %VarNum:2949(SingletonVarNum:1404)
% 0.66/0.78 %MaxLitNum:7
% 0.66/0.78 %MaxfuncDepth:9
% 0.66/0.78 %SharedTerms:64
% 0.66/0.78 %goalClause: 241 297 329 330 351
% 0.66/0.78 %singleGoalClaCount:5
% 0.66/0.78 [122]P1(a1)
% 0.66/0.78 [123]P1(a45)
% 0.66/0.78 [124]P8(a1)
% 0.66/0.78 [125]P8(a45)
% 0.66/0.78 [126]P2(a1)
% 0.66/0.78 [127]P3(a1)
% 0.66/0.78 [128]P3(a45)
% 0.66/0.78 [129]P9(a1)
% 0.66/0.78 [130]P9(a45)
% 0.66/0.78 [131]P10(a1)
% 0.66/0.78 [132]P10(a45)
% 0.66/0.78 [133]P12(a1)
% 0.66/0.78 [134]P12(a45)
% 0.66/0.78 [135]P11(a45)
% 0.66/0.78 [152]P6(a20,a5,a42)
% 0.66/0.78 [299]~E(a24,a20)
% 0.66/0.78 [328]~P6(a24,a5,a42)
% 0.66/0.78 [329]~P6(a47,a5,a42)
% 0.66/0.78 [330]~P6(a48,a5,a42)
% 0.66/0.78 [136]P4(f3(a2))
% 0.66/0.78 [155]P6(f3(a2),a35,f43(a2))
% 0.66/0.78 [166]E(f25(f34(f46(a44,a1))),f34(f46(a44,a1)))
% 0.66/0.78 [167]E(f17(f34(f46(a44,a1))),f34(f46(a44,a1)))
% 0.66/0.78 [351]~P6(f38(a27,a49),f17(f4(a20,f3(a2))),a44)
% 0.66/0.78 [241]P6(f10(a47,a48,f28(a49,f30(f29(a50),f29(a50)))),f19(f3(a2),a2),a2)
% 0.66/0.78 [297]P6(f28(a49,f30(f29(a50),f29(a50))),f25(f4(a20,f21(f6(a36,f7(f39(a2),f10(a47,a48,f28(a49,f30(f29(a50),f29(a50)))),a2,a2,a1),a1,a1,a2),f18(f3(a2),a2),a2))),a44)
% 0.66/0.78 [154]P6(f31(x1541),a33,a45)
% 0.66/0.78 [171]P7(x1711,f25(x1711),f46(a44,a1))
% 0.66/0.78 [172]P7(x1721,f17(x1721),f46(a44,a1))
% 0.66/0.78 [173]P7(x1731,f32(x1731),f46(a44,a1))
% 0.66/0.78 [174]P7(f17(x1741),f25(x1741),f46(a44,a1))
% 0.66/0.78 [137]E(f16(f16(x1371)),x1371)
% 0.66/0.78 [138]E(f25(f25(x1381)),f25(x1381))
% 0.66/0.78 [139]E(f25(f17(x1391)),f25(x1391))
% 0.66/0.78 [140]E(f17(f25(x1401)),f25(x1401))
% 0.66/0.78 [141]E(f17(f17(x1411)),f17(x1411))
% 0.66/0.78 [142]E(f16(f31(x1421)),f31(x1421))
% 0.66/0.78 [143]E(f32(f32(x1431)),f32(x1431))
% 0.66/0.78 [145]E(f18(f3(x1451),x1451),f3(x1451))
% 0.66/0.78 [149]E(f19(f3(x1491),x1491),f34(f46(x1491,a1)))
% 0.66/0.78 [150]E(f34(f46(x1501,a1)),f19(f3(x1501),x1501))
% 0.66/0.78 [151]E(f4(a20,f18(x1511,a2)),f4(a20,x1511))
% 0.66/0.78 [175]P7(f13(f3(a2)),f13(x1751),f46(a44,a1))
% 0.66/0.78 [178]E(f12(f25(x1781),f32(x1781),f46(a44,a1)),f25(f32(x1781)))
% 0.66/0.78 [179]E(f12(f17(x1791),f32(x1791),f46(a44,a1)),f17(f32(x1791)))
% 0.66/0.78 [186]P7(f25(f4(a20,x1861)),f13(x1861),f46(a44,a1))
% 0.66/0.78 [278]E(f25(f41(a27,x2781,a45,a44)),f41(a27,x2781,a45,a44))
% 0.66/0.78 [279]E(f17(f41(a27,x2791,a45,a44)),f41(a27,x2791,a45,a44))
% 0.66/0.78 [340]~P6(f29(x3401),f13(f3(a2)),a44)
% 0.66/0.78 [222]P7(f25(f4(a20,f18(x2221,a2))),f25(f4(a20,x2221)),f46(a44,a1))
% 0.66/0.78 [353]~P6(x3531,f25(f34(f46(a44,a1))),a44)
% 0.66/0.78 [163]P6(f26(x1631),f32(x1632),a44)
% 0.66/0.78 [169]P7(x1691,x1691,f46(x1692,a1))
% 0.66/0.78 [301]~E(f26(x3011),f29(x3012))
% 0.66/0.78 [302]~E(f29(x3021),f38(a27,x3022))
% 0.66/0.78 [303]~E(f26(x3031),f38(a27,x3032))
% 0.66/0.78 [304]~E(f38(a27,x3041),f29(x3042))
% 0.66/0.78 [305]~E(f38(a27,x3051),f26(x3052))
% 0.66/0.78 [341]~P6(f37(x3411,x3412),a33,a45)
% 0.66/0.78 [354]~P6(f29(x3541),f41(a27,x3542,a45,a44),a44)
% 0.66/0.78 [148]E(f18(f18(x1481,x1482),x1482),x1481)
% 0.66/0.78 [153]E(f19(f18(x1531,x1532),x1532),f19(x1531,x1532))
% 0.66/0.78 [159]E(f11(x1591,f3(x1592),x1592),x1591)
% 0.66/0.78 [160]E(f11(f3(x1601),x1602,x1601),x1602)
% 0.66/0.78 [161]E(f21(x1611,f3(x1612),x1612),f3(x1612))
% 0.66/0.78 [170]E(f12(x1701,x1701,f46(x1702,a1)),x1701)
% 0.66/0.78 [177]P6(f38(a27,f31(x1771)),f13(x1772),a44)
% 0.66/0.78 [181]P6(f38(a27,f31(x1811)),f4(x1811,x1812),a44)
% 0.66/0.78 [183]P7(f34(f46(x1831,a1)),x1832,f46(x1831,a1))
% 0.66/0.78 [184]E(f12(x1841,f34(f46(x1842,a1)),f46(x1842,a1)),x1841)
% 0.66/0.78 [185]E(f12(f34(f46(x1851,a1)),x1852,f46(x1851,a1)),x1852)
% 0.66/0.78 [187]P7(f4(x1871,f3(a2)),f4(x1871,x1872),f46(a44,a1))
% 0.66/0.78 [237]P7(f4(a20,f21(x2371,x2372,a2)),f4(a20,x2372),f46(a44,a1))
% 0.66/0.78 [246]P7(f40(x2461,f25(x2462),a44),f25(f40(x2461,x2462,a44)),f46(a44,a1))
% 0.66/0.78 [247]P7(f40(x2471,f17(x2472),a44),f17(f40(x2471,x2472,a44)),f46(a44,a1))
% 0.66/0.78 [248]P7(f40(x2481,f32(x2482),a44),f32(f40(x2481,x2482,a44)),f46(a44,a1))
% 0.66/0.78 [272]E(f12(f25(f40(x2721,f34(f46(a44,a1)),a44)),f25(x2722),f46(a44,a1)),f25(f40(x2721,x2722,a44)))
% 0.66/0.78 [344]~P6(f28(x3441,x3442),f13(f3(a2)),a44)
% 0.66/0.78 [347]~P6(x3471,f34(f46(x3472,a1)),x3472)
% 0.66/0.78 [348]~P6(f16(f37(x3481,x3482)),a33,a45)
% 0.66/0.78 [180]P13(f38(f38(f39(x1801),x1802),x1802))
% 0.66/0.78 [200]E(f25(f40(f29(x2001),x2002,a44)),f40(f29(x2001),f25(x2002),a44))
% 0.66/0.78 [201]E(f25(f40(f26(x2011),x2012,a44)),f40(f26(x2011),f25(x2012),a44))
% 0.66/0.78 [202]E(f17(f40(f29(x2021),x2022,a44)),f40(f29(x2021),f17(x2022),a44))
% 0.66/0.78 [203]E(f17(f40(f26(x2031),x2032,a44)),f40(f26(x2031),f17(x2032),a44))
% 0.66/0.78 [205]E(f18(f15(x2051,f3(x2052),x2052),x2052),f15(x2051,f3(x2052),x2052))
% 0.66/0.78 [212]P6(f38(a27,f16(f37(x2121,x2122))),f4(x2122,f3(a2)),a44)
% 0.66/0.78 [216]E(f25(f40(f38(a27,x2161),x2162,a44)),f40(f38(a27,x2161),f25(x2162),a44))
% 0.66/0.78 [217]E(f12(f25(x2171),f25(x2172),f46(a44,a1)),f25(f12(x2171,x2172,f46(a44,a1))))
% 0.66/0.78 [224]E(f17(f12(f17(x2241),x2242,f46(a44,a1))),f17(f12(x2241,x2242,f46(a44,a1))))
% 0.66/0.78 [267]E(f12(f17(f12(x2671,x2672,f46(a44,a1))),f32(x2671),f46(a44,a1)),f17(f12(f32(x2671),x2672,f46(a44,a1))))
% 0.66/0.78 [268]P7(f25(f12(x2681,x2682,f46(a44,a1))),f12(f25(x2681),f25(x2682),f46(a44,a1)),f46(a44,a1))
% 0.66/0.78 [269]P7(f12(f25(x2691),f25(x2692),f46(a44,a1)),f25(f12(x2691,x2692,f46(a44,a1))),f46(a44,a1))
% 0.66/0.78 [270]P7(f12(f17(x2701),f17(x2702),f46(a44,a1)),f17(f12(x2701,x2702,f46(a44,a1))),f46(a44,a1))
% 0.66/0.78 [271]P7(f12(f32(x2711),f32(x2712),f46(a44,a1)),f32(f12(x2711,x2712,f46(a44,a1))),f46(a44,a1))
% 0.66/0.78 [273]P7(f25(f4(a20,f21(x2731,x2732,a2))),f25(f4(a20,x2732)),f46(a44,a1))
% 0.66/0.78 [349]~P6(f29(x3491),f25(f4(x3492,f3(a2))),a44)
% 0.66/0.78 [350]~P13(f38(f34(f46(x3501,a1)),x3502))
% 0.66/0.78 [194]P6(x1941,f40(x1941,x1942,x1943),x1943)
% 0.66/0.78 [199]P7(x1991,f40(x1992,x1991,x1993),f46(x1993,a1))
% 0.66/0.78 [306]~E(f29(x3061),f30(x3062,x3063))
% 0.66/0.78 [307]~E(f29(x3071),f28(x3072,x3073))
% 0.66/0.78 [308]~E(f31(x3081),f37(x3082,x3083))
% 0.66/0.78 [309]~E(f26(x3091),f30(x3092,x3093))
% 0.66/0.78 [310]~E(f26(x3101),f28(x3102,x3103))
% 0.66/0.78 [311]~E(f30(x3111,x3112),f29(x3113))
% 0.66/0.78 [312]~E(f30(x3121,x3122),f26(x3123))
% 0.66/0.78 [313]~E(f28(x3131,x3132),f29(x3133))
% 0.66/0.78 [314]~E(f28(x3141,x3142),f26(x3143))
% 0.66/0.78 [315]~E(f37(x3151,x3152),f31(x3153))
% 0.66/0.78 [316]~E(f30(x3161,x3162),f38(a27,x3163))
% 0.66/0.78 [317]~E(f28(x3171,x3172),f38(a27,x3173))
% 0.66/0.78 [318]~E(f38(a27,x3181),f30(x3182,x3183))
% 0.66/0.78 [319]~E(f38(a27,x3191),f28(x3192,x3193))
% 0.66/0.78 [332]~E(f15(x3321,x3322,x3323),x3322)
% 0.66/0.78 [335]~E(f15(x3351,x3352,x3353),f3(x3353))
% 0.66/0.78 [355]~P6(f28(x3551,x3552),f41(a27,x3553,a45,a44),a44)
% 0.66/0.78 [188]P6(f38(a27,f37(x1881,x1882)),f13(x1883),a44)
% 0.66/0.78 [189]P6(f38(a27,f37(x1891,x1892)),f4(a20,x1893),a44)
% 0.66/0.78 [190]E(f12(x1901,x1902,f46(x1903,a1)),f12(x1902,x1901,f46(x1903,a1)))
% 0.66/0.78 [191]P6(f38(a27,f37(x1911,x1912)),f4(x1913,f3(a2)),a44)
% 0.66/0.78 [196]P6(f38(a27,f37(x1961,x1962)),f17(f4(a20,x1963)),a44)
% 0.66/0.78 [207]E(f40(x2071,f19(x2072,x2073),x2073),f19(f15(x2071,x2072,x2073),x2073))
% 0.66/0.78 [209]E(f40(x2091,f40(x2091,x2092,x2093),x2093),f40(x2091,x2092,x2093))
% 0.66/0.78 [213]E(f11(f18(x2131,x2132),f18(x2133,x2132),x2132),f18(f11(x2133,x2131,x2132),x2132))
% 0.66/0.78 [214]P7(x2141,f12(x2142,x2141,f46(x2143,a1)),f46(x2143,a1))
% 0.66/0.78 [215]P7(x2151,f12(x2151,x2152,f46(x2153,a1)),f46(x2153,a1))
% 0.66/0.78 [218]P13(f38(f40(x2181,x2182,x2183),x2181))
% 0.66/0.78 [220]E(f12(f19(x2201,x2202),f19(x2203,x2202),f46(x2202,a1)),f19(f11(x2201,x2203,x2202),x2202))
% 0.66/0.78 [223]E(f12(x2231,f12(x2231,x2232,f46(x2233,a1)),f46(x2233,a1)),f12(x2231,x2232,f46(x2233,a1)))
% 0.66/0.78 [238]P7(f4(x2381,x2382),f4(x2381,f15(x2383,x2382,a2)),f46(a44,a1))
% 0.66/0.78 [239]E(f12(f40(x2391,f34(f46(x2392,a1)),x2392),x2393,f46(x2392,a1)),f40(x2391,x2393,x2392))
% 0.66/0.78 [240]P7(f19(x2401,x2402),f19(f15(x2403,x2401,x2402),x2402),f46(x2402,a1))
% 0.66/0.78 [324]~E(f31(x3241),f16(f37(x3242,x3243)))
% 0.66/0.78 [325]~E(f16(f37(x3251,x3252)),f31(x3253))
% 0.66/0.78 [342]~E(f40(x3421,x3422,x3423),f34(f46(x3423,a1)))
% 0.66/0.78 [343]~E(f34(f46(x3431,a1)),f40(x3432,x3433,x3431))
% 0.66/0.78 [195]E(f13(f15(f8(x1951,x1952),x1953,a2)),f13(x1953))
% 0.66/0.78 [197]E(f4(a20,f15(f8(x1971,x1972),x1973,a2)),f4(a20,x1973))
% 0.66/0.78 [206]P6(f38(a27,f16(f37(x2061,x2062))),f13(x2063),a44)
% 0.66/0.78 [219]E(f4(x2191,f15(f9(x2191,x2192),x2193,a2)),f40(x2192,f4(x2191,x2193),a44))
% 0.66/0.78 [225]E(f11(f18(x2251,x2252),f15(x2253,f3(x2252),x2252),x2252),f18(f15(x2253,x2251,x2252),x2252))
% 0.66/0.78 [236]E(f41(x2361,f34(f46(x2362,a1)),x2362,x2363),f34(f46(x2363,a1)))
% 0.66/0.78 [258]E(f40(f28(x2581,x2582),f25(f40(x2582,x2583,a44)),a44),f25(f40(f28(x2581,x2582),x2583,a44)))
% 0.66/0.78 [274]E(f13(f15(f9(x2741,x2742),x2743,a2)),f12(f25(f40(x2742,f34(f46(a44,a1)),a44)),f13(x2743),f46(a44,a1)))
% 0.66/0.78 [288]P7(f17(f40(f28(x2881,x2882),x2883,a44)),f40(f28(x2881,x2882),f17(f40(x2882,x2883,a44)),a44),f46(a44,a1))
% 0.66/0.78 [291]E(f12(f12(f25(f40(x2911,f34(f46(a44,a1)),a44)),f25(f40(x2912,f34(f46(a44,a1)),a44)),f46(a44,a1)),f25(x2913),f46(a44,a1)),f25(f40(x2911,f40(x2912,x2913,a44),a44)))
% 0.66/0.78 [352]~P6(f28(x3521,x3522),f25(f4(x3523,f3(a2))),a44)
% 0.66/0.78 [257]E(f4(a20,f11(x2571,f15(f8(x2572,x2573),f3(a2),a2),a2)),f4(a20,x2571))
% 0.66/0.78 [264]E(f18(f11(f18(x2641,x2642),f15(x2643,f3(x2642),x2642),x2642),x2642),f15(x2643,x2641,x2642))
% 0.66/0.78 [284]E(f40(f30(x2841,x2842),f25(f40(x2841,f40(x2842,x2843,a44),a44)),a44),f25(f40(f30(x2841,x2842),x2843,a44)))
% 0.66/0.78 [285]E(f40(f30(x2851,x2852),f17(f40(x2851,f40(x2852,x2853,a44),a44)),a44),f17(f40(f30(x2851,x2852),x2853,a44)))
% 0.66/0.78 [321]~E(f28(x3211,x3212),f30(x3213,x3214))
% 0.66/0.78 [323]~E(f9(x3231,x3232),f8(x3233,x3234))
% 0.66/0.78 [226]E(f40(x2261,f40(x2262,x2263,x2264),x2264),f40(x2262,f40(x2261,x2263,x2264),x2264))
% 0.66/0.78 [232]E(f15(x2321,f11(x2322,x2323,x2324),x2324),f11(f15(x2321,x2322,x2324),x2323,x2324))
% 0.66/0.78 [234]E(f11(f11(x2341,x2342,x2343),x2344,x2343),f11(x2341,f11(x2342,x2344,x2343),x2343))
% 0.66/0.78 [259]E(f12(x2591,f12(x2592,x2593,f46(x2594,a1)),f46(x2594,a1)),f12(x2592,f12(x2591,x2593,f46(x2594,a1)),f46(x2594,a1)))
% 0.66/0.78 [261]E(f12(f12(x2611,x2612,f46(x2613,a1)),x2614,f46(x2613,a1)),f12(x2611,f12(x2612,x2614,f46(x2613,a1)),f46(x2613,a1)))
% 0.66/0.78 [326]~E(f37(x3261,x3262),f16(f37(x3263,x3264)))
% 0.66/0.78 [327]~E(f16(f37(x3271,x3272)),f37(x3273,x3274))
% 0.66/0.78 [242]E(f40(x2421,f12(x2422,x2423,f46(x2424,a1)),x2424),f12(x2422,f40(x2421,x2423,x2424),f46(x2424,a1)))
% 0.66/0.78 [243]E(f40(x2431,f12(x2432,x2433,f46(x2434,a1)),x2434),f12(f40(x2431,x2432,x2434),x2433,f46(x2434,a1)))
% 0.66/0.78 [249]E(f4(a20,f15(f10(x2491,x2492,x2493),x2494,a2)),f40(x2493,f4(a20,x2494),a44))
% 0.66/0.78 [252]E(f4(x2521,f15(f10(x2521,x2522,x2523),x2524,a2)),f40(x2523,f4(x2521,x2524),a44))
% 0.66/0.78 [277]P6(x2771,f19(f11(x2772,f15(x2771,x2773,x2774),x2774),x2774),x2774)
% 0.66/0.78 [282]E(f13(f15(f10(x2821,x2822,x2823),x2824,a2)),f12(f25(f40(x2823,f34(f46(a44,a1)),a44)),f13(x2824),f46(a44,a1)))
% 0.66/0.78 [283]E(f4(a20,f11(x2831,f15(f10(x2832,x2833,x2834),f3(a2),a2),a2)),f40(x2834,f4(a20,x2831),a44))
% 0.66/0.78 [336]~E(f8(x3361,x3362),f10(x3363,x3364,x3365))
% 0.66/0.78 [337]~E(f9(x3371,x3372),f10(x3373,x3374,x3375))
% 0.66/0.78 [338]~E(f10(x3381,x3382,x3383),f8(x3384,x3385))
% 0.66/0.78 [339]~E(f10(x3391,x3392,x3393),f9(x3394,x3395))
% 0.66/0.78 [286]E(f41(x2861,f40(x2862,x2863,x2864),x2864,x2865),f40(f38(x2861,x2862),f41(x2861,x2863,x2864,x2865),x2865))
% 0.66/0.78 [287]E(f40(f38(x2871,x2872),f41(x2871,x2873,x2874,x2875),x2875),f41(x2871,f40(x2872,x2873,x2874),x2874,x2875))
% 0.66/0.78 [290]E(f12(f41(x2901,x2902,x2903,x2904),f41(x2901,x2905,x2903,x2904),f46(x2904,a1)),f41(x2901,f12(x2902,x2905,f46(x2903,a1)),x2903,x2904))
% 0.66/0.78 [293]E(f38(f6(x2931,x2932,x2933,x2934,x2935),x2936),f38(x2931,f38(x2932,x2936)))
% 0.66/0.78 [295]E(f38(f7(x2951,x2952,x2953,x2954,x2955),x2956),f38(f38(x2951,x2956),x2952))
% 0.66/0.78 [296]E(f41(x2961,f41(x2962,x2963,x2964,x2965),x2965,x2966),f41(f6(x2961,x2962,x2965,x2966,x2964),x2963,x2964,x2966))
% 0.66/0.78 [389]E(f16(x3891),x3891)+~P6(x3891,a33,a45)
% 0.66/0.78 [405]~P6(x4051,a33,a45)+P6(f16(x4051),a33,a45)
% 0.66/0.78 [407]P6(x4071,a33,a45)+~P6(f16(x4071),a33,a45)
% 0.66/0.78 [381]~P10(x3812)+P7(x3811,x3811,x3812)
% 0.66/0.78 [382]~P12(x3822)+P7(x3821,x3821,x3822)
% 0.66/0.78 [356]E(x3561,x3562)+~E(f29(x3561),f29(x3562))
% 0.66/0.78 [357]E(x3571,x3572)+~E(f31(x3571),f31(x3572))
% 0.66/0.78 [358]E(x3581,x3582)+~E(f26(x3581),f26(x3582))
% 0.66/0.78 [359]E(x3591,x3592)+~E(f16(x3591),f16(x3592))
% 0.66/0.78 [361]~E(f18(x3611,x3612),f3(x3612))+E(x3611,f3(x3612))
% 0.66/0.78 [362]~P1(x3622)+P1(f46(x3621,x3622))
% 0.66/0.78 [363]~P1(x3632)+P8(f46(x3631,x3632))
% 0.66/0.78 [364]~P2(x3642)+P2(f46(x3641,x3642))
% 0.66/0.78 [365]~P3(x3652)+P3(f46(x3651,x3652))
% 0.66/0.78 [366]~P9(x3662)+P9(f46(x3661,x3662))
% 0.66/0.78 [367]~P10(x3672)+P10(f46(x3671,x3672))
% 0.66/0.78 [368]~P12(x3682)+P12(f46(x3681,x3682))
% 0.66/0.78 [369]E(x3691,x3692)+~E(f38(a27,x3691),f38(a27,x3692))
% 0.66/0.78 [383]~P8(x3832)+E(f12(x3831,x3831,x3832),x3831)
% 0.66/0.78 [384]~P9(x3841)+P7(f34(x3841),x3842,x3841)
% 0.66/0.78 [408]~P6(x4081,x4082,a44)+P6(x4081,f25(x4082),a44)
% 0.66/0.78 [409]~P6(x4091,x4092,a44)+P6(x4091,f17(x4092),a44)
% 0.66/0.78 [410]~P6(x4101,x4102,a44)+P6(x4101,f32(x4102),a44)
% 0.66/0.78 [416]~P6(x4161,f17(x4162),a44)+P6(x4161,f25(x4162),a44)
% 0.66/0.78 [419]~P6(f29(x4191),f32(x4192),a44)+P6(f29(x4191),x4192,a44)
% 0.66/0.78 [459]~P7(x4591,x4592,f46(a44,a1))+P7(f25(x4591),f25(x4592),f46(a44,a1))
% 0.66/0.78 [460]~P7(x4601,x4602,f46(a44,a1))+P7(f17(x4601),f17(x4602),f46(a44,a1))
% 0.66/0.78 [461]~P7(x4611,x4612,f46(a44,a1))+P7(f32(x4611),f32(x4612),f46(a44,a1))
% 0.66/0.78 [464]~P6(f38(a27,x4641),f32(x4642),a44)+P6(f38(a27,x4641),x4642,a44)
% 0.66/0.78 [465]P7(f25(x4651),f25(x4652),f46(a44,a1))+~P7(x4651,f25(x4652),f46(a44,a1))
% 0.66/0.78 [466]P7(f17(x4661),f17(x4662),f46(a44,a1))+~P7(x4661,f17(x4662),f46(a44,a1))
% 0.66/0.78 [467]P7(f32(x4671),f32(x4672),f46(a44,a1))+~P7(x4671,f32(x4672),f46(a44,a1))
% 0.66/0.78 [469]P7(x4691,f25(x4692),f46(a44,a1))+~P7(f25(x4691),f25(x4692),f46(a44,a1))
% 0.66/0.78 [470]P7(x4701,f17(x4702),f46(a44,a1))+~P7(f17(x4701),f17(x4702),f46(a44,a1))
% 0.66/0.78 [471]P7(x4711,f32(x4712),f46(a44,a1))+~P7(f32(x4711),f32(x4712),f46(a44,a1))
% 0.66/0.78 [621]P6(x6211,x6212,a45)+~P6(f38(a27,x6211),f41(a27,x6212,a45,a44),a44)
% 0.66/0.78 [385]~P2(x3852)+E(f12(x3851,f34(x3852),x3852),x3851)
% 0.66/0.78 [386]~P2(x3861)+E(f12(f34(x3861),x3862,x3861),x3862)
% 0.66/0.78 [387]E(x3871,f3(x3872))+~E(f19(x3871,x3872),f34(f46(x3872,a1)))
% 0.66/0.78 [388]E(x3881,f3(x3882))+~E(f34(f46(x3882,a1)),f19(x3881,x3882))
% 0.66/0.78 [425]P6(x4251,f25(x4252),a44)+~P6(x4251,f25(f25(x4252)),a44)
% 0.66/0.78 [426]P6(x4261,f17(x4262),a44)+~P6(x4261,f17(f17(x4262)),a44)
% 0.66/0.78 [427]P6(x4271,f32(x4272),a44)+~P6(x4271,f32(f32(x4272)),a44)
% 0.66/0.78 [443]~P6(x4431,a5,a42)+P6(f38(a27,f31(x4431)),f4(a20,x4432),a44)
% 0.66/0.78 [462]~P6(x4621,f25(x4622),a44)+E(f25(f40(x4621,x4622,a44)),f25(x4622))
% 0.66/0.78 [463]~P6(x4631,f17(x4632),a44)+E(f17(f40(x4631,x4632,a44)),f17(x4632))
% 0.66/0.78 [475]P6(x4751,f13(x4752),a44)+~P6(x4751,f25(f4(a20,x4752)),a44)
% 0.66/0.78 [478]~P7(x4781,x4782,f46(a44,a1))+P7(f32(f17(x4781)),f32(f17(x4782)),f46(a44,a1))
% 0.66/0.78 [480]~P7(x4801,f34(f46(x4802,a1)),f46(x4802,a1))+E(x4801,f34(f46(x4802,a1)))
% 0.66/0.78 [594]P7(f25(f40(x5941,x5942,a44)),f12(f32(f17(x5942)),f25(x5942),f46(a44,a1)),f46(a44,a1))+~P6(x5941,f32(f17(x5942)),a44)
% 0.66/0.78 [538]~P6(x5381,f32(f17(x5382)),a44)+E(f32(f17(f40(x5381,x5382,a44))),f32(f17(x5382)))
% 0.66/0.78 [588]~P6(x5881,f13(x5882),a44)+P7(f25(f40(x5881,f34(f46(a44,a1)),a44)),f13(x5882),f46(a44,a1))
% 0.66/0.78 [608]~P6(x6081,f32(f17(x6082)),a44)+P7(f25(f40(x6081,f34(f46(a44,a1)),a44)),f12(f32(f17(x6082)),f25(x6082),f46(a44,a1)),f46(a44,a1))
% 0.66/0.78 [380]E(x3801,x3802)+~E(f18(x3801,x3803),f18(x3802,x3803))
% 0.66/0.78 [392]~E(f11(x3923,x3921,x3922),x3923)+E(x3921,f3(x3922))
% 0.66/0.78 [393]~E(f11(x3931,x3933,x3932),x3933)+E(x3931,f3(x3932))
% 0.66/0.78 [396]~E(f11(x3963,x3961,x3962),f3(x3962))+E(x3961,f3(x3962))
% 0.66/0.78 [397]~E(f11(x3971,x3973,x3972),f3(x3972))+E(x3971,f3(x3972))
% 0.66/0.78 [398]P6(x3981,x3982,x3983)+~P13(f38(x3982,x3981))
% 0.66/0.78 [401]~P1(x4013)+E(f12(x4011,x4012,x4013),f12(x4012,x4011,x4013))
% 0.66/0.78 [402]~P8(x4023)+E(f12(x4021,x4022,x4023),f12(x4022,x4021,x4023))
% 0.66/0.78 [403]~P6(x4032,x4031,x4033)+P13(f38(x4031,x4032))
% 0.66/0.78 [406]~P6(x4061,x4062,x4063)+E(f40(x4061,x4062,x4063),x4062)
% 0.66/0.78 [420]~P1(x4203)+P7(x4201,f12(x4202,x4201,x4203),x4203)
% 0.66/0.78 [421]~P8(x4213)+P7(x4211,f12(x4212,x4211,x4213),x4213)
% 0.66/0.78 [422]~P1(x4223)+P7(x4221,f12(x4221,x4222,x4223),x4223)
% 0.66/0.78 [423]~P8(x4233)+P7(x4231,f12(x4231,x4232,x4233),x4233)
% 0.66/0.78 [444]P6(x4441,f25(x4442),a44)+~P6(f30(x4443,x4441),f25(x4442),a44)
% 0.66/0.78 [445]P6(x4451,f25(x4452),a44)+~P6(f30(x4451,x4453),f25(x4452),a44)
% 0.66/0.78 [446]P6(x4461,f25(x4462),a44)+~P6(f28(x4463,x4461),f25(x4462),a44)
% 0.66/0.78 [447]P6(x4471,f17(x4472),a44)+~P6(f30(x4473,x4471),f17(x4472),a44)
% 0.66/0.78 [448]P6(x4481,f17(x4482),a44)+~P6(f30(x4481,x4483),f17(x4482),a44)
% 0.66/0.78 [449]P6(x4491,f13(x4492),a44)+~P6(f30(x4493,x4491),f13(x4492),a44)
% 0.66/0.78 [450]P6(x4501,f13(x4502),a44)+~P6(f30(x4501,x4503),f13(x4502),a44)
% 0.66/0.78 [472]P6(x4721,f13(x4722),a44)+~P6(f9(x4723,x4721),f19(x4722,a2),a2)
% 0.66/0.78 [484]P6(x4841,f4(x4842,x4843),a44)+~P6(f9(x4842,x4841),f19(x4843,a2),a2)
% 0.66/0.78 [487]P6(f22(x4871,x4872,x4873),f19(x4872,x4873),x4873)+E(f21(x4871,x4872,x4873),x4872)
% 0.66/0.78 [435]~E(f18(x4351,x4353),f15(x4352,f3(x4353),x4353))+E(x4351,f15(x4352,f3(x4353),x4353))
% 0.66/0.78 [436]~E(f15(x4362,f3(x4363),x4363),f18(x4361,x4363))+E(x4361,f15(x4362,f3(x4363),x4363))
% 0.66/0.78 [441]E(x4411,f34(f46(x4412,a1)))+~E(f12(x4413,x4411,f46(x4412,a1)),f34(f46(x4412,a1)))
% 0.66/0.78 [442]E(x4421,f34(f46(x4422,a1)))+~E(f12(x4421,x4423,f46(x4422,a1)),f34(f46(x4422,a1)))
% 0.66/0.78 [455]~P7(x4551,x4552,f46(x4553,a1))+E(f12(x4551,x4552,f46(x4553,a1)),x4552)
% 0.66/0.78 [456]~P7(x4562,x4561,f46(x4563,a1))+E(f12(x4561,x4562,f46(x4563,a1)),x4561)
% 0.66/0.78 [457]P7(x4571,x4572,f46(x4573,a1))+~E(f12(x4571,x4572,f46(x4573,a1)),x4572)
% 0.66/0.78 [473]~P1(x4733)+E(f12(x4731,f12(x4731,x4732,x4733),x4733),f12(x4731,x4732,x4733))
% 0.66/0.78 [474]~P8(x4743)+E(f12(x4741,f12(x4741,x4742,x4743),x4743),f12(x4741,x4742,x4743))
% 0.66/0.78 [476]P6(x4761,f32(f17(x4762)),a44)+~P6(f30(x4763,x4761),f32(f17(x4762)),a44)
% 0.66/0.78 [477]P6(x4771,f32(f17(x4772)),a44)+~P6(f30(x4771,x4773),f32(f17(x4772)),a44)
% 0.66/0.78 [479]~E(f17(x4792),f17(x4793))+E(f17(f40(x4791,x4792,a44)),f17(f40(x4791,x4793,a44)))
% 0.66/0.78 [545]~P6(x5451,f25(x5453),a44)+P6(x5451,f25(f40(x5452,x5453,a44)),a44)
% 0.66/0.78 [546]~P6(x5461,f17(x5463),a44)+P6(x5461,f17(f40(x5462,x5463,a44)),a44)
% 0.66/0.78 [570]E(f21(x5701,x5702,x5703),x5702)+~P13(f38(x5701,f22(x5701,x5702,x5703)))
% 0.66/0.78 [583]~P6(x5831,x5833,a44)+P7(f25(f40(x5831,x5832,a44)),f12(f25(x5833),f25(x5832),f46(a44,a1)),f46(a44,a1))
% 0.66/0.78 [630]P7(f17(f40(x6301,x6302,a44)),f12(f32(f17(x6303)),f17(f12(x6303,x6302,f46(a44,a1))),f46(a44,a1)),f46(a44,a1))+~P6(x6301,f32(f17(x6303)),a44)
% 0.66/0.78 [424]E(x4241,x4242)+~P13(f38(f38(f39(x4243),x4241),x4242))
% 0.66/0.78 [481]P6(x4811,a5,a42)+E(f4(a20,f15(f9(x4811,x4812),x4813,a2)),f4(a20,x4813))
% 0.66/0.78 [493]E(x4931,a20)+E(f4(x4931,f15(f8(x4931,x4932),x4933,a2)),f40(x4932,f4(x4931,x4933),a44))
% 0.66/0.78 [494]P6(x4941,f13(x4942),a44)+~P6(x4941,f25(f4(x4943,f3(a2))),a44)
% 0.66/0.78 [515]~P6(x5152,a5,a42)+P6(f38(a27,f16(f37(x5151,x5152))),f4(a20,x5153),a44)
% 0.66/0.78 [530]~P6(x5301,a5,a42)+E(f4(a20,f15(f9(x5301,x5302),x5303,a2)),f40(x5302,f4(a20,x5303),a44))
% 0.66/0.78 [536]E(x5361,x5362)+~E(f40(x5361,f34(f46(x5363,a1)),x5363),f40(x5362,f34(f46(x5363,a1)),x5363))
% 0.66/0.78 [537]P6(f38(a27,f16(x5371)),f17(x5373),a44)+E(f17(f40(f28(x5371,x5372),x5373,a44)),f40(f28(x5371,x5372),f17(x5373),a44))
% 0.66/0.78 [566]E(x5661,x5662)+~P6(x5661,f40(x5662,f34(f46(x5663,a1)),x5663),x5663)
% 0.66/0.78 [573]~P6(x5731,f17(x5733),a44)+P6(x5731,f17(f12(x5732,x5733,f46(a44,a1))),a44)
% 0.66/0.78 [596]~P6(f38(a27,f16(x5961)),f17(x5963),a44)+E(f40(f28(x5961,x5962),f17(f40(x5962,x5963,a44)),a44),f17(f40(f28(x5961,x5962),x5963,a44)))
% 0.66/0.78 [629]~P6(f38(a27,f16(x6291)),f17(x6293),a44)+P7(f40(f28(x6291,x6292),f17(f40(x6292,x6293,a44)),a44),f17(f40(f28(x6291,x6292),x6293,a44)),f46(a44,a1))
% 0.66/0.78 [644]~P6(x6441,x6442,a45)+P6(f38(a27,x6441),f17(f12(f41(a27,x6442,a45,a44),x6443,f46(a44,a1))),a44)
% 0.66/0.78 [582]P6(x5822,a5,a42)+E(f4(a20,f11(x5821,f15(f9(x5822,x5823),f3(a2),a2),a2)),f4(a20,x5821))
% 0.66/0.78 [595]~P6(x5952,a5,a42)+E(f4(a20,f11(x5951,f15(f9(x5952,x5953),f3(a2),a2),a2)),f40(x5953,f4(a20,x5951),a44))
% 0.66/0.78 [370]E(x3701,x3702)+~E(f30(x3703,x3701),f30(x3704,x3702))
% 0.66/0.78 [371]E(x3711,x3712)+~E(f28(x3713,x3711),f28(x3714,x3712))
% 0.66/0.78 [372]E(x3721,x3722)+~E(f37(x3723,x3721),f37(x3724,x3722))
% 0.66/0.78 [373]E(x3731,x3732)+~E(f8(x3733,x3731),f8(x3734,x3732))
% 0.66/0.78 [374]E(x3741,x3742)+~E(f9(x3743,x3741),f9(x3744,x3742))
% 0.66/0.78 [375]E(x3751,x3752)+~E(f30(x3751,x3753),f30(x3752,x3754))
% 0.66/0.78 [376]E(x3761,x3762)+~E(f28(x3761,x3763),f28(x3762,x3764))
% 0.66/0.78 [377]E(x3771,x3772)+~E(f37(x3771,x3773),f37(x3772,x3774))
% 0.66/0.78 [378]E(x3781,x3782)+~E(f8(x3781,x3783),f8(x3782,x3784))
% 0.66/0.78 [379]E(x3791,x3792)+~E(f9(x3791,x3793),f9(x3792,x3794))
% 0.66/0.78 [431]E(x4311,x4312)+~E(f11(x4313,x4311,x4314),f11(x4313,x4312,x4314))
% 0.66/0.78 [434]E(x4341,x4342)+~E(f11(x4341,x4343,x4344),f11(x4342,x4343,x4344))
% 0.66/0.78 [492]~P6(x4921,x4923,x4924)+P6(x4921,f40(x4922,x4923,x4924),x4924)
% 0.66/0.78 [517]~P7(x5171,x5173,f46(x5174,a1))+P7(x5171,f40(x5172,x5173,x5174),f46(x5174,a1))
% 0.66/0.78 [543]P6(x5431,x5432,x5433)+~P7(f40(x5431,x5434,x5433),x5432,f46(x5433,a1))
% 0.66/0.78 [544]P6(x5441,f13(x5442),a44)+~P6(f10(x5443,x5444,x5441),f19(x5442,a2),a2)
% 0.66/0.78 [552]P6(x5521,f4(a20,x5522),a44)+~P6(f10(x5523,x5524,x5521),f19(x5522,a2),a2)
% 0.66/0.78 [553]P6(x5531,f4(x5532,x5533),a44)+~P6(f10(x5532,x5534,x5531),f19(x5533,a2),a2)
% 0.66/0.78 [554]~P7(f40(x5544,x5541,x5543),x5542,f46(x5543,a1))+P7(x5541,x5542,f46(x5543,a1))
% 0.66/0.78 [564]~P7(x5642,x5644,f46(x5643,a1))+P7(f40(x5641,x5642,x5643),f40(x5641,x5644,x5643),f46(x5643,a1))
% 0.66/0.78 [605]P6(f23(x6051,x6054,x6052,x6053),f19(x6052,x6053),x6053)+E(f21(x6051,x6052,x6053),f21(x6054,x6052,x6053))
% 0.66/0.78 [451]P13(f38(x4511,x4512))+E(f21(x4511,f15(x4512,x4513,x4514),x4514),f3(x4514))
% 0.66/0.78 [512]~P13(f38(x5122,x5124))+P13(f38(f40(x5121,x5122,x5123),x5124))
% 0.66/0.78 [513]~P6(x5131,x5133,x5134)+P6(x5131,f12(x5132,x5133,f46(x5134,a1)),x5134)
% 0.66/0.78 [514]~P6(x5141,x5142,x5144)+P6(x5141,f12(x5142,x5143,f46(x5144,a1)),x5144)
% 0.66/0.78 [532]~P1(x5324)+E(f12(x5321,f12(x5322,x5323,x5324),x5324),f12(x5322,f12(x5321,x5323,x5324),x5324))
% 0.66/0.78 [533]~P8(x5334)+E(f12(x5331,f12(x5332,x5333,x5334),x5334),f12(x5332,f12(x5331,x5333,x5334),x5334))
% 0.66/0.78 [534]~P1(x5343)+E(f12(f12(x5341,x5342,x5343),x5344,x5343),f12(x5341,f12(x5342,x5344,x5343),x5343))
% 0.66/0.78 [535]~P8(x5353)+E(f12(f12(x5351,x5352,x5353),x5354,x5353),f12(x5351,f12(x5352,x5354,x5353),x5353))
% 0.66/0.78 [555]~P13(f38(x5552,x5551))+E(f15(x5551,f21(x5552,x5553,x5554),x5554),f21(x5552,f15(x5551,x5553,x5554),x5554))
% 0.66/0.78 [559]~P6(f10(x5593,x5594,x5591),f19(x5592,a2),a2)+P6(x5591,f25(f4(a20,x5592)),a44)
% 0.66/0.78 [560]~P6(f10(x5603,x5604,x5601),f19(x5602,a2),a2)+P6(x5601,f17(f4(a20,x5602)),a44)
% 0.66/0.78 [571]P7(x5711,x5712,f46(x5713,a1))+~P7(f12(x5714,x5711,f46(x5713,a1)),x5712,f46(x5713,a1))
% 0.66/0.78 [572]P7(x5721,x5722,f46(x5723,a1))+~P7(f12(x5721,x5724,f46(x5723,a1)),x5722,f46(x5723,a1))
% 0.66/0.78 [575]~E(f41(x5753,x5751,x5752,x5754),f34(f46(x5754,a1)))+E(x5751,f34(f46(x5752,a1)))
% 0.66/0.78 [580]~P6(x5802,f19(f21(x5801,x5803,x5804),x5804),x5804)+P13(f38(x5801,x5802))
% 0.66/0.78 [584]P6(x5841,f19(x5842,x5843),x5843)+~P6(x5841,f19(f21(x5844,x5842,x5843),x5843),x5843)
% 0.66/0.78 [634]~P5(x6341,x6342,x6343,x6344)+P6(f10(x6341,x6342,f51(x6341,x6342,x6343,x6344)),f19(x6344,a2),a2)
% 0.66/0.78 [518]~E(f18(x5181,x5183),f15(x5184,x5182,x5183))+E(x5181,f11(f18(x5182,x5183),f15(x5184,f3(x5183),x5183),x5183))
% 0.66/0.78 [557]~P13(f38(x5572,x5574))+P13(f38(f12(x5571,x5572,f46(x5573,a1)),x5574))
% 0.66/0.78 [558]~P13(f38(x5581,x5584))+P13(f38(f12(x5581,x5582,f46(x5583,a1)),x5584))
% 0.66/0.78 [618]~P6(x6181,f17(f4(a20,x6184)),a44)+P6(x6181,f17(f4(a20,f15(f8(x6182,x6183),x6184,a2))),a44)
% 0.66/0.78 [619]~P6(x6191,f17(f4(a20,x6194)),a44)+P6(x6191,f17(f4(a20,f15(f9(x6192,x6193),x6194,a2))),a44)
% 0.66/0.78 [650]~P5(x6502,x6503,x6501,x6504)+P6(x6501,f25(f40(f51(x6502,x6503,x6501,x6504),f34(f46(a44,a1)),a44)),a44)
% 0.66/0.78 [676]~P5(x6761,x6762,x6763,x6764)+~P6(x6763,f25(f4(a20,f21(f6(a36,f7(f39(a2),f10(x6761,x6762,f51(x6761,x6762,x6763,x6764)),a2,a2,a1),a1,a1,a2),f18(x6764,a2),a2))),a44)
% 0.66/0.78 [430]E(x4301,x4302)+~E(f15(x4303,x4301,x4304),f15(x4305,x4302,x4304))
% 0.66/0.78 [433]E(x4331,x4332)+~E(f15(x4331,x4333,x4334),f15(x4332,x4335,x4334))
% 0.66/0.78 [603]~P6(x6032,x6033,x6034)+P6(f38(x6031,x6032),f41(x6031,x6033,x6034,x6035),x6035)
% 0.66/0.78 [632]~P7(x6322,x6325,f46(x6323,a1))+P7(f41(x6321,x6322,x6323,x6324),f41(x6321,x6325,x6323,x6324),f46(x6324,a1))
% 0.66/0.78 [620]~P6(x6202,x6203,x6204)+E(f40(f38(x6201,x6202),f41(x6201,x6203,x6204,x6205),x6205),f41(x6201,x6203,x6204,x6205))
% 0.66/0.78 [576]P13(f38(x5761,x5763))+E(f21(x5761,f11(x5762,f15(x5763,x5764,x5765),x5765),x5765),f21(x5761,x5762,x5765))
% 0.66/0.78 [586]E(x5861,x5862)+~E(f11(x5863,f15(x5861,f3(x5864),x5864),x5864),f11(x5865,f15(x5862,f3(x5864),x5864),x5864))
% 0.66/0.78 [587]E(x5871,x5872)+~E(f11(x5871,f15(x5873,f3(x5874),x5874),x5874),f11(x5872,f15(x5875,f3(x5874),x5874),x5874))
% 0.66/0.78 [633]~P6(x6331,f17(f4(a20,x6335)),a44)+P6(x6331,f17(f4(a20,f15(f10(x6332,x6333,x6334),x6335,a2))),a44)
% 0.66/0.78 [428]E(x4281,x4282)+~E(f10(x4283,x4284,x4281),f10(x4285,x4286,x4282))
% 0.66/0.78 [429]E(x4291,x4292)+~E(f10(x4293,x4291,x4294),f10(x4295,x4292,x4296))
% 0.66/0.78 [432]E(x4321,x4322)+~E(f10(x4321,x4323,x4324),f10(x4322,x4325,x4326))
% 0.66/0.78 [637]P6(x6371,f25(f4(a20,x6372)),a44)+~P6(f10(a24,x6373,f28(f31(x6373),f30(x6374,f30(x6375,f30(x6371,x6376))))),f19(x6372,a2),a2)
% 0.66/0.78 [636]P6(x6361,f25(f4(a20,x6362)),a44)+~P6(f10(x6363,x6364,f28(x6365,f30(x6366,f30(x6367,f30(x6368,x6361))))),f19(x6362,a2),a2)
% 0.66/0.78 [519]~P6(x5191,a5,a42)+~P6(x5192,a35,f43(a2))+P6(f38(a27,f31(x5191)),f25(f4(a20,x5192)),a44)
% 0.66/0.78 [520]~P6(x5201,a5,a42)+~P6(x5202,a35,f43(a2))+P6(f38(a27,f31(x5201)),f17(f4(a20,x5202)),a44)
% 0.66/0.78 [547]P6(x5471,a5,a42)+~P6(x5472,a35,f43(a2))+~P6(f38(a27,f31(x5471)),f25(f4(a20,x5472)),a44)
% 0.66/0.78 [548]P6(x5481,a5,a42)+~P6(x5482,a35,f43(a2))+~P6(f38(a27,f31(x5481)),f17(f4(a20,x5482)),a44)
% 0.66/0.78 [404]P7(x4042,x4041,x4043)+~P11(x4043)+P7(x4041,x4042,x4043)
% 0.66/0.78 [399]~P2(x3992)+~E(f12(x3993,x3991,x3992),f34(x3992))+E(x3991,f34(x3992))
% 0.66/0.78 [400]~P2(x4002)+~E(f12(x4001,x4003,x4002),f34(x4002))+E(x4001,f34(x4002))
% 0.66/0.78 [411]~P8(x4113)+~P7(x4111,x4112,x4113)+E(f12(x4111,x4112,x4113),x4112)
% 0.66/0.78 [412]~P8(x4123)+~P7(x4122,x4121,x4123)+E(f12(x4121,x4122,x4123),x4121)
% 0.66/0.78 [413]~P8(x4133)+P7(x4131,x4132,x4133)+~E(f12(x4131,x4132,x4133),x4132)
% 0.66/0.78 [486]E(x4861,a20)+P6(x4862,f4(x4861,x4863),a44)+~P6(f8(x4861,x4862),f19(x4863,a2),a2)
% 0.66/0.78 [490]E(x4901,x4902)+~P7(x4901,x4902,f46(x4903,a1))+~P7(x4902,x4901,f46(x4903,a1))
% 0.66/0.78 [501]P6(f30(x5011,x5012),f32(x5013),a44)+~P6(x5012,f32(x5013),a44)+~P6(x5011,f32(x5013),a44)
% 0.66/0.78 [502]P6(x5021,f32(x5022),a44)+P6(f30(x5023,x5021),x5022,a44)+~P6(f30(x5023,x5021),f32(x5022),a44)
% 0.66/0.78 [503]P6(x5031,f32(x5032),a44)+P6(f30(x5031,x5033),x5032,a44)+~P6(f30(x5031,x5033),f32(x5032),a44)
% 0.66/0.78 [504]P6(x5041,f32(x5042),a44)+P6(f28(x5043,x5041),x5042,a44)+~P6(f28(x5043,x5041),f32(x5042),a44)
% 0.66/0.78 [505]~P7(x5053,f25(x5052),f46(a44,a1))+P6(x5051,f25(x5052),a44)+~P6(x5051,f25(x5053),a44)
% 0.66/0.78 [506]~P7(x5063,f17(x5062),f46(a44,a1))+P6(x5061,f17(x5062),a44)+~P6(x5061,f17(x5063),a44)
% 0.66/0.78 [507]~P7(x5073,f32(x5072),f46(a44,a1))+P6(x5071,f32(x5072),a44)+~P6(x5071,f32(x5073),a44)
% 0.66/0.78 [511]~P6(f28(x5111,x5112),f32(x5113),a44)+P6(f28(x5111,x5112),x5113,a44)+P6(f38(a27,x5111),x5113,a44)
% 0.66/0.78 [516]P6(f28(x5161,x5162),f32(x5163),a44)+~P6(x5162,f32(x5163),a44)+~P6(f38(a27,x5161),x5163,a44)
% 0.66/0.78 [526]~P6(x5263,a5,a42)+~P6(f9(x5263,x5261),f19(x5262,a2),a2)+P6(x5261,f4(a20,x5262),a44)
% 0.66/0.78 [529]~P7(x5293,x5292,f46(a44,a1))+~P6(x5291,f17(x5293),a44)+E(f17(f40(x5291,x5292,a44)),f17(x5292))
% 0.66/0.78 [542]P6(x5421,f17(x5422),a44)+~P6(f28(x5423,x5421),f17(x5422),a44)+~P6(f38(a27,f16(x5423)),f17(x5422),a44)
% 0.66/0.78 [549]P6(x5491,f17(x5492),a44)+~P6(f28(f31(x5493),x5491),f17(x5492),a44)+~P6(f38(a27,f31(x5493)),f17(x5492),a44)
% 0.66/0.78 [563]~P6(x5633,a5,a42)+~P6(f28(f31(x5633),x5631),f17(f4(a20,x5632)),a44)+P6(x5631,f17(f4(a20,x5632)),a44)
% 0.66/0.78 [589]P6(x5891,f17(x5892),a44)+~P6(x5893,f17(x5892),a44)+~P6(x5891,f17(f40(x5893,x5892,a44)),a44)
% 0.66/0.78 [590]P6(x5901,f32(x5902),a44)+~P6(x5903,f32(x5902),a44)+~P6(x5901,f32(f40(x5903,x5902,a44)),a44)
% 0.66/0.78 [609]P6(x6091,f12(f32(f17(x6092)),f25(x6092),f46(a44,a1)),a44)+~P6(x6093,f32(f17(x6092)),a44)+~P6(x6091,f25(f40(x6093,x6092,a44)),a44)
% 0.66/0.78 [591]~P4(x5913)+~P6(x5912,f32(f17(f4(a20,x5913))),a44)+P4(f15(f10(a20,x5911,x5912),x5913,a2))
% 0.66/0.78 [593]~P7(x5931,f40(x5933,f34(f46(x5932,a1)),x5932),f46(x5932,a1))+E(x5931,f34(f46(x5932,a1)))+E(x5931,f40(x5933,f34(f46(x5932,a1)),x5932))
% 0.66/0.78 [604]P6(x6041,f25(x6042),a44)+P6(x6041,f25(x6043),a44)+~P6(x6041,f25(f12(x6042,x6043,f46(a44,a1))),a44)
% 0.66/0.78 [606]~P6(x6063,a35,f43(a2))+P6(f15(f10(a20,x6061,x6062),x6063,a2),a35,f43(a2))+~P6(x6062,f32(f17(f4(a20,x6063))),a44)
% 0.66/0.78 [626]P6(x6261,f12(f32(f17(x6262)),f25(x6262),f46(a44,a1)),a44)+~P6(x6263,f32(f17(x6262)),a44)+~P6(x6261,f25(f40(x6263,f34(f46(a44,a1)),a44)),a44)
% 0.66/0.78 [454]~P7(x4543,x4541,f46(x4544,a1))+P13(f38(x4541,x4542))+~P13(f38(x4543,x4542))
% 0.66/0.78 [488]~P6(x4882,f19(x4883,x4884),x4884)+~E(f21(x4881,x4883,x4884),x4883)+P13(f38(x4881,x4882))
% 0.66/0.78 [495]~P8(x4954)+~P7(x4951,x4953,x4954)+P7(x4951,f12(x4952,x4953,x4954),x4954)
% 0.66/0.78 [496]~P8(x4964)+~P7(x4961,x4962,x4964)+P7(x4961,f12(x4962,x4963,x4964),x4964)
% 0.66/0.78 [500]P6(x5001,x5002,x5003)+~P6(x5001,x5004,x5003)+~P7(x5004,x5002,f46(x5003,a1))
% 0.66/0.78 [521]E(x5211,x5212)+P6(x5211,x5213,x5214)+~P6(x5211,f40(x5212,x5213,x5214),x5214)
% 0.66/0.78 [523]~P8(x5233)+P7(x5231,x5232,x5233)+~P7(f12(x5234,x5231,x5233),x5232,x5233)
% 0.66/0.78 [525]~P8(x5253)+P7(x5251,x5252,x5253)+~P7(f12(x5251,x5254,x5253),x5252,x5253)
% 0.66/0.78 [527]~P7(x5271,x5274,f46(x5273,a1))+~P7(x5274,x5272,f46(x5273,a1))+P7(x5271,x5272,f46(x5273,a1))
% 0.66/0.78 [561]~P6(x5611,x5614,x5613)+~P7(x5612,x5614,f46(x5613,a1))+P7(f40(x5611,x5612,x5613),x5614,f46(x5613,a1))
% 0.66/0.78 [568]P6(x5681,x5682,x5683)+~P7(x5682,f40(x5681,x5684,x5683),f46(x5683,a1))+P7(x5682,x5684,f46(x5683,a1))
% 0.66/0.78 [565]E(x5651,x5652)+P13(f38(x5653,x5651))+~P13(f38(f40(x5652,x5653,x5654),x5651))
% 0.66/0.78 [569]P6(x5691,x5692,x5693)+P6(x5691,x5694,x5693)+~P6(x5691,f12(x5692,x5694,f46(x5693,a1)),x5693)
% 0.66/0.78 [578]~P7(x5781,x5784,f46(x5783,a1))+~P7(x5782,x5784,f46(x5783,a1))+P7(f12(x5781,x5782,f46(x5783,a1)),x5784,f46(x5783,a1))
% 0.66/0.78 [585]E(x5851,x5852)+P6(x5851,f19(x5853,x5854),x5854)+~P6(x5851,f19(f15(x5852,x5853,x5854),x5854),x5854)
% 0.66/0.78 [640]E(f21(x6401,x6402,x6403),f21(x6404,x6402,x6403))+P13(f38(x6404,f23(x6401,x6404,x6402,x6403)))+P13(f38(x6401,f23(x6401,x6404,x6402,x6403)))
% 0.66/0.78 [654]E(f21(x6541,x6542,x6543),f21(x6544,x6542,x6543))+~P13(f38(x6544,f23(x6541,x6544,x6542,x6543)))+~P13(f38(x6541,f23(x6541,x6544,x6542,x6543)))
% 0.66/0.78 [531]~E(f17(x5311),f17(x5313))+~E(f17(x5312),f17(x5314))+E(f17(f12(x5311,x5312,f46(a44,a1))),f17(f12(x5313,x5314,f46(a44,a1))))
% 0.66/0.78 [592]P13(f38(x5921,x5922))+P13(f38(x5923,x5922))+~P13(f38(f12(x5921,x5923,f46(x5924,a1)),x5922))
% 0.66/0.78 [617]~P6(x6174,f25(x6173),a44)+~P6(x6171,f25(f40(x6174,x6172,a44)),a44)+P6(x6171,f25(f12(x6172,x6173,f46(a44,a1))),a44)
% 0.66/0.78 [623]~P7(f17(x6232),f17(x6234),f46(a44,a1))+~P7(f17(x6231),f17(x6233),f46(a44,a1))+P7(f17(f12(x6231,x6232,f46(a44,a1))),f17(f12(x6233,x6234,f46(a44,a1))),f46(a44,a1))
% 0.66/0.78 [622]~P4(x6222)+P6(f29(x6221),f13(x6222),a44)+P4(f15(f10(x6223,a24,f30(f26(x6223),f30(f26(x6224),f29(x6221)))),x6222,a2))
% 0.66/0.78 [627]P6(f29(x6271),f13(x6272),a44)+~P6(x6272,a35,f43(a2))+P6(f15(f10(x6273,a24,f30(f26(x6273),f30(f26(x6274),f29(x6271)))),x6272,a2),a35,f43(a2))
% 0.66/0.78 [485]~P3(x4854)+P7(f38(x4851,x4852),f38(x4853,x4852),x4854)+~P7(x4851,x4853,f46(x4855,x4854))
% 0.66/0.78 [556]~P6(x5565,f19(x5562,x5564),x5564)+E(f21(x5561,f11(x5562,x5563,x5564),x5564),f21(x5561,x5562,x5564))+P13(f38(x5561,x5565))
% 0.66/0.78 [597]~P7(x5971,x5974,f46(x5973,a1))+~P7(x5972,x5975,f46(x5973,a1))+P7(f12(x5971,x5972,f46(x5973,a1)),f12(x5974,x5975,f46(x5973,a1)),f46(x5973,a1))
% 0.66/0.78 [613]E(x6131,x6132)+E(x6131,x6133)+~E(f40(x6134,f40(x6131,f34(f46(x6135,a1)),x6135),x6135),f40(x6133,f40(x6132,f34(f46(x6135,a1)),x6135),x6135))
% 0.66/0.78 [614]E(x6141,x6142)+E(x6143,x6142)+~E(f40(x6143,f40(x6141,f34(f46(x6144,a1)),x6144),x6144),f40(x6145,f40(x6142,f34(f46(x6144,a1)),x6144),x6144))
% 0.66/0.78 [615]E(x6151,x6152)+E(x6153,x6152)+~E(f40(x6153,f40(x6151,f34(f46(x6154,a1)),x6154),x6154),f40(x6152,f40(x6155,f34(f46(x6154,a1)),x6154),x6154))
% 0.66/0.78 [616]E(x6161,x6162)+E(x6161,x6163)+~E(f40(x6161,f40(x6164,f34(f46(x6165,a1)),x6165),x6165),f40(x6163,f40(x6162,f34(f46(x6165,a1)),x6165),x6165))
% 0.66/0.78 [625]~P6(x6252,x6255,x6256)+P6(f38(x6251,x6252),x6253,x6254)+~P7(f41(x6251,x6255,x6256,x6254),x6253,f46(x6254,a1))
% 0.66/0.78 [651]E(x6511,f31(x6512))+~P6(x6513,a35,f43(a2))+~P6(f10(a24,x6512,f28(x6511,f30(x6514,f30(f26(x6515),f30(f38(a27,x6516),x6517))))),f19(x6513,a2),a2)
% 0.66/0.78 [652]~P6(x6525,a35,f43(a2))+E(x6521,f28(f31(x6522),f30(f38(a27,x6523),f26(x6524))))+~P6(f10(a24,x6524,f28(x6526,f30(x6527,f30(f26(x6522),f30(f38(a27,x6523),x6521))))),f19(x6525,a2),a2)
% 0.66/0.78 [439]~P7(x4392,x4391,x4393)+~P7(x4391,x4392,x4393)+E(x4391,x4392)+~P10(x4393)
% 0.66/0.78 [562]~P6(f28(x5623,x5621),f17(x5622),a44)+P6(x5621,f17(x5622),a44)+~P6(x5623,a33,a45)+~P6(f38(a27,x5623),f17(x5622),a44)
% 0.66/0.78 [581]~P6(f38(a27,x5813),f17(x5812),a44)+~P6(f28(x5813,x5811),f32(f17(x5812)),a44)+P6(x5811,f32(f17(x5812)),a44)+~P6(f38(a27,f16(x5813)),f17(x5812),a44)
% 0.66/0.78 [482]~P10(x4823)+~P7(x4821,x4824,x4823)+P7(x4821,x4822,x4823)+~P7(x4824,x4822,x4823)
% 0.66/0.78 [483]~P12(x4833)+~P7(x4831,x4834,x4833)+P7(x4831,x4832,x4833)+~P7(x4834,x4832,x4833)
% 0.66/0.78 [508]P6(x5083,x5081,x5084)+E(x5081,x5082)+P6(x5083,x5082,x5084)+~E(f40(x5083,x5081,x5084),f40(x5083,x5082,x5084))
% 0.66/0.78 [541]~P8(x5413)+~P7(x5412,x5414,x5413)+~P7(x5411,x5414,x5413)+P7(f12(x5411,x5412,x5413),x5414,x5413)
% 0.66/0.78 [607]~P7(x6073,x6072,f46(a44,a1))+P6(f38(a27,x6071),f17(x6072),a44)+~P6(x6074,f32(f17(x6073)),a44)+~P6(f38(a27,x6071),f17(f40(x6074,x6072,a44)),a44)
% 0.66/0.78 [670]P6(x6701,a5,a42)+~P6(x6704,a35,f43(a2))+~P6(f28(f31(x6701),f30(f38(a27,x6703),f26(x6702))),f25(f4(a20,x6704)),a44)+P6(f10(a24,x6702,f28(f31(x6702),f30(f54(x6702,x6701,x6703,x6704),f30(f26(x6701),f30(f38(a27,x6703),f28(f31(x6701),f30(f38(a27,x6703),f26(x6702)))))))),f19(x6704,a2),a2)
% 0.66/0.78 [675]P5(x6751,x6752,x6753,x6754)+~P6(f10(x6751,x6752,x6755),f19(x6754,a2),a2)+~P6(x6753,f25(f40(x6755,f34(f46(a44,a1)),a44)),a44)+P6(x6753,f25(f4(a20,f21(f6(a36,f7(f39(a2),f10(x6751,x6752,x6755),a2,a2,a1),a1,a1,a2),f18(x6754,a2),a2))),a44)
% 0.66/0.78 [638]P6(x6384,a5,a42)+~P6(x6385,a35,f43(a2))+E(x6381,f28(f31(x6382),f30(f38(a27,x6383),f26(x6384))))+~P6(f28(f31(x6384),f30(x6386,f30(f26(x6382),f30(f38(a27,x6383),x6381)))),f25(f4(a20,x6385)),a44)
% 0.66/0.78 [655]P6(x6551,a5,a42)+~P6(x6556,a35,f43(a2))+~P6(f28(f31(x6551),f30(x6552,f30(f26(x6553),f30(f38(a27,x6554),x6555)))),f25(f4(a20,x6556)),a44)+P6(f10(a24,x6551,f28(f31(x6551),f30(x6552,f30(f26(x6553),f30(f38(a27,x6554),x6555))))),f19(x6556,a2),a2)
% 0.66/0.78 [653]~P6(x6535,a35,f43(a2))+P6(x6531,f17(f4(a20,x6535)),a44)+E(x6531,f28(f31(x6532),f30(f38(a27,x6533),f26(x6534))))+~P6(f10(x6536,x6534,f28(f31(x6534),f30(f29(x6537),f30(f26(x6532),f30(f38(a27,x6533),x6531))))),f19(x6535,a2),a2)
% 0.66/0.78 [662]~P4(x6624)+~P6(f10(x6625,x6626,f28(x6623,f29(x6622))),f19(x6624,a2),a2)+~P6(f10(a24,x6626,f28(f31(x6626),f30(f29(x6621),f30(f26(x6625),f30(f38(a27,x6623),x6627))))),f19(x6624,a2),a2)+P4(f15(f9(a20,f30(f29(x6621),f30(f29(x6622),f38(a27,x6623)))),x6624,a2))
% 0.66/0.78 [664]~P6(x6644,a35,f43(a2))+~P6(f10(x6645,x6646,f28(x6643,f29(x6642))),f19(x6644,a2),a2)+P6(f15(f9(a20,f30(f29(x6641),f30(f29(x6642),f38(a27,x6643)))),x6644,a2),a35,f43(a2))+~P6(f10(a24,x6646,f28(f31(x6646),f30(f29(x6641),f30(f26(x6645),f30(f38(a27,x6643),x6647))))),f19(x6644,a2),a2)
% 0.66/0.78 [666]E(x6661,x6662)+~P6(x6663,a35,f43(a2))+~P6(f10(a24,x6668,f28(f31(x6668),f30(x6669,f30(f26(x66610),f30(f38(a27,x6667),x6662))))),f19(x6663,a2),a2)+~P6(f10(a24,x6664,f28(f31(x6664),f30(x6665,f30(f26(x6666),f30(f38(a27,x6667),x6661))))),f19(x6663,a2),a2)
% 0.66/0.78 [667]E(x6671,x6672)+~P6(x6673,a35,f43(a2))+~P6(f10(a24,x6678,f28(f31(x6678),f30(x6679,f30(f26(x6672),f30(f38(a27,x6676),x66710))))),f19(x6673,a2),a2)+~P6(f10(a24,x6674,f28(f31(x6674),f30(x6675,f30(f26(x6671),f30(f38(a27,x6676),x6677))))),f19(x6673,a2),a2)
% 0.66/0.78 [668]E(x6681,x6682)+~P6(x6683,a35,f43(a2))+~P6(f10(a24,x6688,f28(f31(x6688),f30(x6682,f30(f26(x6689),f30(f38(a27,x6686),x66810))))),f19(x6683,a2),a2)+~P6(f10(a24,x6684,f28(f31(x6684),f30(x6681,f30(f26(x6685),f30(f38(a27,x6686),x6687))))),f19(x6683,a2),a2)
% 0.66/0.78 [669]E(x6691,x6692)+~P6(x6693,a35,f43(a2))+~P6(f10(a24,x6691,f28(f31(x6691),f30(x6698,f30(f26(x6699),f30(f38(a27,x6696),x66910))))),f19(x6693,a2),a2)+~P6(f10(a24,x6692,f28(f31(x6692),f30(x6694,f30(f26(x6695),f30(f38(a27,x6696),x6697))))),f19(x6693,a2),a2)
% 0.66/0.78 [635]~P4(x6352)+~P6(x6355,a33,a45)+P6(f29(x6351),f13(x6352),a44)+~P6(f10(x6356,x6353,f28(f31(x6353),f30(f38(a27,x6355),f26(x6354)))),f19(x6352,a2),a2)+P4(f15(f10(x6353,x6354,f28(x6355,f29(x6351))),x6352,a2))
% 0.66/0.78 [639]~P6(x6395,a33,a45)+P6(f29(x6391),f13(x6392),a44)+~P6(x6392,a35,f43(a2))+~P6(f10(x6396,x6393,f28(f31(x6393),f30(f38(a27,x6395),f26(x6394)))),f19(x6392,a2),a2)+P6(f15(f10(x6393,x6394,f28(x6395,f29(x6391))),x6392,a2),a35,f43(a2))
% 0.66/0.78 [673]~P4(x6732)+~P6(x6731,a33,a45)+P6(f38(a27,x6731),f13(x6732),a44)+~P6(f10(x6736,a24,f30(f26(x6733),f30(f26(x6735),f29(x6734)))),f19(x6732,a2),a2)+P4(f15(f10(a24,x6733,f28(f31(x6733),f30(f29(x6734),f30(f26(x6735),f30(f38(a27,x6731),f28(f31(x6735),f30(f38(a27,x6731),f26(x6733)))))))),x6732,a2))
% 0.66/0.78 [674]~P6(x6741,a33,a45)+P6(f38(a27,x6741),f13(x6742),a44)+~P6(x6742,a35,f43(a2))+~P6(f10(x6746,a24,f30(f26(x6743),f30(f26(x6745),f29(x6744)))),f19(x6742,a2),a2)+P6(f15(f10(a24,x6743,f28(f31(x6743),f30(f29(x6744),f30(f26(x6745),f30(f38(a27,x6741),f28(f31(x6745),f30(f38(a27,x6741),f26(x6743)))))))),x6742,a2),a35,f43(a2))
% 0.66/0.78 [657]~P6(x6572,a35,f43(a2))+~P6(f28(x6571,f29(x6575)),f25(f4(a20,x6572)),a44)+P6(f38(a27,x6571),f17(f4(a20,x6572)),a44)+P6(f10(x6573,x6574,f28(x6571,f29(x6575))),f19(x6572,a2),a2)+~P6(f10(a24,x6574,f28(f31(x6574),f30(x6576,f30(f26(x6573),f30(f38(a27,x6571),x6577))))),f19(x6572,a2),a2)
% 0.66/0.78 [658]~P6(x6582,a35,f43(a2))+~P6(f28(x6581,f29(x6585)),f25(f4(a20,x6582)),a44)+P6(f10(f56(x6583,x6584,x6582),x6583,x6584),f19(x6582,a2),a2)+P6(f38(a27,x6581),f17(f4(a20,x6582)),a44)+~P6(f10(a24,x6586,f28(f31(x6586),f30(x6587,f30(f26(x6583),f30(f38(a27,x6581),x6584))))),f19(x6582,a2),a2)
% 0.66/0.78 [659]~P4(x6594)+E(x6591,a24)+~P6(f10(x6591,a24,f30(f26(x6591),f30(f26(x6592),f29(x6595)))),f19(x6594,a2),a2)+P4(f15(f10(x6591,x6592,x6593),x6594,a2))+~P6(f10(x6596,x6591,f28(f31(x6591),f30(f29(x6595),f30(f26(x6592),f30(f38(a27,x6597),x6593))))),f19(x6594,a2),a2)
% 0.66/0.78 [660]E(x6601,a24)+~P6(x6604,a35,f43(a2))+P6(f15(f10(x6601,x6602,x6603),x6604,a2),a35,f43(a2))+~P6(f10(x6601,a24,f30(f26(x6601),f30(f26(x6602),f29(x6605)))),f19(x6604,a2),a2)+~P6(f10(x6606,x6601,f28(f31(x6601),f30(f29(x6605),f30(f26(x6602),f30(f38(a27,x6607),x6603))))),f19(x6604,a2),a2)
% 0.66/0.78 [661]~P4(x6615)+~P6(x6613,a33,a45)+~P6(f10(x6616,x6611,f28(x6613,f29(x6614))),f19(x6615,a2),a2)+~P6(f10(x6617,x6611,f28(f31(x6611),f30(f29(x6618),f30(f26(x6612),f30(f38(a27,x6613),x6619))))),f19(x6615,a2),a2)+P4(f15(f10(x6611,x6612,f28(x6613,f30(f29(x6614),f29(x6614)))),x6615,a2))
% 0.66/0.78 [663]~P6(x6633,a33,a45)+~P6(x6635,a35,f43(a2))+~P6(f10(x6636,x6631,f28(x6633,f29(x6634))),f19(x6635,a2),a2)+P6(f15(f10(x6631,x6632,f28(x6633,f30(f29(x6634),f29(x6634)))),x6635,a2),a35,f43(a2))+~P6(f10(x6637,x6631,f28(f31(x6631),f30(f29(x6638),f30(f26(x6632),f30(f38(a27,x6633),x6639))))),f19(x6635,a2),a2)
% 0.66/0.78 [612]E(x6121,a20)+~P6(x6122,f4(x6121,x6123),a44)+P6(f9(x6121,x6122),f19(x6123,a2),a2)+P6(f8(x6121,x6122),f19(x6123,a2),a2)+P6(f10(x6121,f14(x6121,x6122,x6123),x6122),f19(x6123,a2),a2)+P6(x6122,f4(x6121,f3(a2)),a44)
% 0.66/0.78 [624]P5(x6242,x6241,f28(x6243,f29(x6244)),x6245)+P6(x6241,a5,a42)+P6(x6242,a5,a42)+~P6(x6245,a35,f43(a2))+P6(f38(a27,x6243),f17(f4(a20,x6245)),a44)+~P6(f10(x6242,x6241,f28(x6243,f29(x6244))),f19(x6245,a2),a2)
% 0.66/0.79 [672]P6(x6721,a5,a42)+P6(x6722,a5,a42)+~P6(x6725,a35,f43(a2))+~P6(f38(a27,x6724),f17(f4(a20,x6725)),a44)+P6(f9(a20,f30(x6723,f30(f58(x6724,x6723,x6725),f38(a27,x6724)))),f19(x6725,a2),a2)+~P6(f10(a24,x6721,f28(f31(x6721),f30(x6723,f30(f26(x6722),f30(f38(a27,x6724),f28(f31(x6722),f30(f38(a27,x6724),f26(x6721)))))))),f19(x6725,a2),a2)
% 0.66/0.79 [671]P6(x6711,a5,a42)+~P6(x6713,a35,f43(a2))+P6(f38(a27,x6712),f17(f4(a20,x6713)),a44)+~P6(f28(x6712,f30(f29(x6715),f29(x6715))),f25(f4(a20,x6713)),a44)+P6(f10(x6714,x6711,f28(x6712,f30(f29(x6715),f29(x6715)))),f19(x6713,a2),a2)+~P6(f10(a24,x6714,f28(f31(x6714),f30(x6716,f30(f26(x6711),f30(f38(a27,x6712),f28(f31(x6711),f30(f38(a27,x6712),f26(x6714)))))))),f19(x6713,a2),a2)
% 0.66/0.79 [665]P6(x6651,a5,a42)+P6(x6652,a5,a42)+~P6(x6655,a35,f43(a2))+~P6(f38(a27,x6654),f17(f4(a20,x6655)),a44)+P6(f9(a20,f30(x6653,f30(f57(x6654,x6653,x6655),f38(a27,x6654)))),f19(x6655,a2),a2)+~P6(f10(a24,x6651,f28(x6656,f30(x6653,f30(f26(x6652),f30(f38(a27,x6654),x6657))))),f19(x6655,a2),a2)
% 0.66/0.79 [641]P6(x6411,a5,a42)+P6(x6412,a5,a42)+~P6(x6415,a35,f43(a2))+~P6(f28(x6413,f30(f29(x6414),f29(x6414))),f25(f4(a20,x6415)),a44)+~P6(f28(f31(x6411),f30(f38(a27,x6413),f26(x6412))),f25(f4(a20,x6415)),a44)+P6(f10(x6412,x6411,f28(x6413,f30(f29(x6414),f29(x6414)))),f19(x6415,a2),a2)+P6(f9(a20,f30(f52(x6413,x6415),f30(f55(x6413,x6415),f38(a27,x6413)))),f19(x6415,a2),a2)
% 0.66/0.79 [642]P5(x6422,x6421,f28(x6423,f29(x6424)),x6425)+P6(x6421,a5,a42)+P6(x6422,a5,a42)+~P6(x6425,a35,f43(a2))+~P6(f28(x6423,f29(x6424)),f25(f4(a20,x6425)),a44)+P6(f38(a27,x6423),f17(f4(a20,x6425)),a44)+~P6(f28(f31(x6421),f30(x6426,f30(f26(x6422),f30(f38(a27,x6423),x6427)))),f25(f4(a20,x6425)),a44)
% 0.66/0.79 [649]P6(x6491,a5,a42)+P6(x6492,a5,a42)+~P6(x6494,a35,f43(a2))+P6(f38(a27,x6493),f17(f4(a20,x6494)),a44)+~P6(f28(x6493,f30(f29(x6495),f29(x6495))),f25(f4(a20,x6494)),a44)+P6(f10(x6492,x6491,f28(x6493,f30(f29(x6495),f29(x6495)))),f19(x6494,a2),a2)+~P6(f28(f31(x6492),f30(f29(x6496),f30(f26(x6491),f30(f38(a27,x6493),x6497)))),f25(f4(a20,x6494)),a44)
% 0.66/0.79 [656]P6(x6561,a5,a42)+P6(x6562,a5,a42)+~P6(x6565,a35,f43(a2))+~P6(f28(x6563,f29(x6564)),f25(f4(a20,x6565)),a44)+P6(f10(x6562,x6561,f28(x6563,f29(x6564))),f19(x6565,a2),a2)+P6(f9(a20,f30(x6566,f30(f53(x6563,x6566,x6565),f38(a27,x6563)))),f19(x6565,a2),a2)+~P6(f28(f31(x6561),f30(x6566,f30(f26(x6562),f30(f38(a27,x6563),x6567)))),f25(f4(a20,x6565)),a44)
% 0.66/0.79 %EqnAxiom
% 0.66/0.79 [1]E(x11,x11)
% 0.66/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.66/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.66/0.79 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.66/0.79 [5]~E(x51,x52)+E(f16(x51),f16(x52))
% 0.66/0.79 [6]~E(x61,x62)+E(f30(x61,x63),f30(x62,x63))
% 0.66/0.79 [7]~E(x71,x72)+E(f30(x73,x71),f30(x73,x72))
% 0.66/0.79 [8]~E(x81,x82)+E(f25(x81),f25(x82))
% 0.66/0.79 [9]~E(x91,x92)+E(f10(x91,x93,x94),f10(x92,x93,x94))
% 0.66/0.79 [10]~E(x101,x102)+E(f10(x103,x101,x104),f10(x103,x102,x104))
% 0.66/0.79 [11]~E(x111,x112)+E(f10(x113,x114,x111),f10(x113,x114,x112))
% 0.66/0.79 [12]~E(x121,x122)+E(f28(x121,x123),f28(x122,x123))
% 0.66/0.79 [13]~E(x131,x132)+E(f28(x133,x131),f28(x133,x132))
% 0.66/0.79 [14]~E(x141,x142)+E(f17(x141),f17(x142))
% 0.66/0.79 [15]~E(x151,x152)+E(f29(x151),f29(x152))
% 0.66/0.79 [16]~E(x161,x162)+E(f43(x161),f43(x162))
% 0.66/0.79 [17]~E(x171,x172)+E(f46(x171,x173),f46(x172,x173))
% 0.66/0.79 [18]~E(x181,x182)+E(f46(x183,x181),f46(x183,x182))
% 0.66/0.79 [19]~E(x191,x192)+E(f19(x191,x193),f19(x192,x193))
% 0.66/0.79 [20]~E(x201,x202)+E(f19(x203,x201),f19(x203,x202))
% 0.66/0.79 [21]~E(x211,x212)+E(f15(x211,x213,x214),f15(x212,x213,x214))
% 0.66/0.79 [22]~E(x221,x222)+E(f15(x223,x221,x224),f15(x223,x222,x224))
% 0.66/0.79 [23]~E(x231,x232)+E(f15(x233,x234,x231),f15(x233,x234,x232))
% 0.66/0.79 [24]~E(x241,x242)+E(f38(x241,x243),f38(x242,x243))
% 0.66/0.79 [25]~E(x251,x252)+E(f38(x253,x251),f38(x253,x252))
% 0.66/0.79 [26]~E(x261,x262)+E(f52(x261,x263),f52(x262,x263))
% 0.66/0.79 [27]~E(x271,x272)+E(f52(x273,x271),f52(x273,x272))
% 0.66/0.79 [28]~E(x281,x282)+E(f26(x281),f26(x282))
% 0.66/0.79 [29]~E(x291,x292)+E(f31(x291),f31(x292))
% 0.66/0.79 [30]~E(x301,x302)+E(f40(x301,x303,x304),f40(x302,x303,x304))
% 0.66/0.79 [31]~E(x311,x312)+E(f40(x313,x311,x314),f40(x313,x312,x314))
% 0.66/0.79 [32]~E(x321,x322)+E(f40(x323,x324,x321),f40(x323,x324,x322))
% 0.66/0.79 [33]~E(x331,x332)+E(f11(x331,x333,x334),f11(x332,x333,x334))
% 0.66/0.79 [34]~E(x341,x342)+E(f11(x343,x341,x344),f11(x343,x342,x344))
% 0.66/0.79 [35]~E(x351,x352)+E(f11(x353,x354,x351),f11(x353,x354,x352))
% 0.66/0.79 [36]~E(x361,x362)+E(f32(x361),f32(x362))
% 0.66/0.79 [37]~E(x371,x372)+E(f12(x371,x373,x374),f12(x372,x373,x374))
% 0.66/0.79 [38]~E(x381,x382)+E(f12(x383,x381,x384),f12(x383,x382,x384))
% 0.66/0.79 [39]~E(x391,x392)+E(f12(x393,x394,x391),f12(x393,x394,x392))
% 0.66/0.79 [40]~E(x401,x402)+E(f7(x401,x403,x404,x405,x406),f7(x402,x403,x404,x405,x406))
% 0.66/0.79 [41]~E(x411,x412)+E(f7(x413,x411,x414,x415,x416),f7(x413,x412,x414,x415,x416))
% 0.66/0.79 [42]~E(x421,x422)+E(f7(x423,x424,x421,x425,x426),f7(x423,x424,x422,x425,x426))
% 0.66/0.79 [43]~E(x431,x432)+E(f7(x433,x434,x435,x431,x436),f7(x433,x434,x435,x432,x436))
% 0.66/0.79 [44]~E(x441,x442)+E(f7(x443,x444,x445,x446,x441),f7(x443,x444,x445,x446,x442))
% 0.66/0.79 [45]~E(x451,x452)+E(f13(x451),f13(x452))
% 0.66/0.79 [46]~E(x461,x462)+E(f18(x461,x463),f18(x462,x463))
% 0.66/0.79 [47]~E(x471,x472)+E(f18(x473,x471),f18(x473,x472))
% 0.66/0.79 [48]~E(x481,x482)+E(f4(x481,x483),f4(x482,x483))
% 0.66/0.79 [49]~E(x491,x492)+E(f4(x493,x491),f4(x493,x492))
% 0.66/0.79 [50]~E(x501,x502)+E(f21(x501,x503,x504),f21(x502,x503,x504))
% 0.66/0.79 [51]~E(x511,x512)+E(f21(x513,x511,x514),f21(x513,x512,x514))
% 0.66/0.79 [52]~E(x521,x522)+E(f21(x523,x524,x521),f21(x523,x524,x522))
% 0.66/0.79 [53]~E(x531,x532)+E(f37(x531,x533),f37(x532,x533))
% 0.66/0.79 [54]~E(x541,x542)+E(f37(x543,x541),f37(x543,x542))
% 0.66/0.79 [55]~E(x551,x552)+E(f34(x551),f34(x552))
% 0.66/0.79 [56]~E(x561,x562)+E(f9(x561,x563),f9(x562,x563))
% 0.66/0.79 [57]~E(x571,x572)+E(f9(x573,x571),f9(x573,x572))
% 0.66/0.79 [58]~E(x581,x582)+E(f6(x581,x583,x584,x585,x586),f6(x582,x583,x584,x585,x586))
% 0.66/0.79 [59]~E(x591,x592)+E(f6(x593,x591,x594,x595,x596),f6(x593,x592,x594,x595,x596))
% 0.66/0.79 [60]~E(x601,x602)+E(f6(x603,x604,x601,x605,x606),f6(x603,x604,x602,x605,x606))
% 0.66/0.79 [61]~E(x611,x612)+E(f6(x613,x614,x615,x611,x616),f6(x613,x614,x615,x612,x616))
% 0.66/0.79 [62]~E(x621,x622)+E(f6(x623,x624,x625,x626,x621),f6(x623,x624,x625,x626,x622))
% 0.66/0.79 [63]~E(x631,x632)+E(f8(x631,x633),f8(x632,x633))
% 0.66/0.79 [64]~E(x641,x642)+E(f8(x643,x641),f8(x643,x642))
% 0.66/0.79 [65]~E(x651,x652)+E(f41(x651,x653,x654,x655),f41(x652,x653,x654,x655))
% 0.66/0.79 [66]~E(x661,x662)+E(f41(x663,x661,x664,x665),f41(x663,x662,x664,x665))
% 0.66/0.79 [67]~E(x671,x672)+E(f41(x673,x674,x671,x675),f41(x673,x674,x672,x675))
% 0.66/0.79 [68]~E(x681,x682)+E(f41(x683,x684,x685,x681),f41(x683,x684,x685,x682))
% 0.66/0.79 [69]~E(x691,x692)+E(f58(x691,x693,x694),f58(x692,x693,x694))
% 0.66/0.79 [70]~E(x701,x702)+E(f58(x703,x701,x704),f58(x703,x702,x704))
% 0.66/0.79 [71]~E(x711,x712)+E(f58(x713,x714,x711),f58(x713,x714,x712))
% 0.66/0.79 [72]~E(x721,x722)+E(f39(x721),f39(x722))
% 0.66/0.79 [73]~E(x731,x732)+E(f23(x731,x733,x734,x735),f23(x732,x733,x734,x735))
% 0.66/0.79 [74]~E(x741,x742)+E(f23(x743,x741,x744,x745),f23(x743,x742,x744,x745))
% 0.66/0.79 [75]~E(x751,x752)+E(f23(x753,x754,x751,x755),f23(x753,x754,x752,x755))
% 0.66/0.79 [76]~E(x761,x762)+E(f23(x763,x764,x765,x761),f23(x763,x764,x765,x762))
% 0.66/0.79 [77]~E(x771,x772)+E(f51(x771,x773,x774,x775),f51(x772,x773,x774,x775))
% 0.66/0.79 [78]~E(x781,x782)+E(f51(x783,x781,x784,x785),f51(x783,x782,x784,x785))
% 0.66/0.79 [79]~E(x791,x792)+E(f51(x793,x794,x791,x795),f51(x793,x794,x792,x795))
% 0.66/0.79 [80]~E(x801,x802)+E(f51(x803,x804,x805,x801),f51(x803,x804,x805,x802))
% 0.66/0.79 [81]~E(x811,x812)+E(f53(x811,x813,x814),f53(x812,x813,x814))
% 0.66/0.79 [82]~E(x821,x822)+E(f53(x823,x821,x824),f53(x823,x822,x824))
% 0.66/0.79 [83]~E(x831,x832)+E(f53(x833,x834,x831),f53(x833,x834,x832))
% 0.66/0.79 [84]~E(x841,x842)+E(f14(x841,x843,x844),f14(x842,x843,x844))
% 0.66/0.79 [85]~E(x851,x852)+E(f14(x853,x851,x854),f14(x853,x852,x854))
% 0.66/0.79 [86]~E(x861,x862)+E(f14(x863,x864,x861),f14(x863,x864,x862))
% 0.66/0.79 [87]~E(x871,x872)+E(f22(x871,x873,x874),f22(x872,x873,x874))
% 0.66/0.79 [88]~E(x881,x882)+E(f22(x883,x881,x884),f22(x883,x882,x884))
% 0.66/0.79 [89]~E(x891,x892)+E(f22(x893,x894,x891),f22(x893,x894,x892))
% 0.66/0.79 [90]~E(x901,x902)+E(f57(x901,x903,x904),f57(x902,x903,x904))
% 0.66/0.79 [91]~E(x911,x912)+E(f57(x913,x911,x914),f57(x913,x912,x914))
% 0.66/0.79 [92]~E(x921,x922)+E(f57(x923,x924,x921),f57(x923,x924,x922))
% 0.66/0.79 [93]~E(x931,x932)+E(f54(x931,x933,x934,x935),f54(x932,x933,x934,x935))
% 0.66/0.79 [94]~E(x941,x942)+E(f54(x943,x941,x944,x945),f54(x943,x942,x944,x945))
% 0.66/0.79 [95]~E(x951,x952)+E(f54(x953,x954,x951,x955),f54(x953,x954,x952,x955))
% 0.66/0.79 [96]~E(x961,x962)+E(f54(x963,x964,x965,x961),f54(x963,x964,x965,x962))
% 0.66/0.79 [97]~E(x971,x972)+E(f55(x971,x973),f55(x972,x973))
% 0.66/0.79 [98]~E(x981,x982)+E(f55(x983,x981),f55(x983,x982))
% 0.66/0.79 [99]~E(x991,x992)+E(f56(x991,x993,x994),f56(x992,x993,x994))
% 0.66/0.79 [100]~E(x1001,x1002)+E(f56(x1003,x1001,x1004),f56(x1003,x1002,x1004))
% 0.66/0.79 [101]~E(x1011,x1012)+E(f56(x1013,x1014,x1011),f56(x1013,x1014,x1012))
% 0.66/0.79 [102]~P1(x1021)+P1(x1022)+~E(x1021,x1022)
% 0.66/0.79 [103]P6(x1032,x1033,x1034)+~E(x1031,x1032)+~P6(x1031,x1033,x1034)
% 0.66/0.79 [104]P6(x1043,x1042,x1044)+~E(x1041,x1042)+~P6(x1043,x1041,x1044)
% 0.66/0.79 [105]P6(x1053,x1054,x1052)+~E(x1051,x1052)+~P6(x1053,x1054,x1051)
% 0.66/0.79 [106]~P8(x1061)+P8(x1062)+~E(x1061,x1062)
% 0.66/0.79 [107]P7(x1072,x1073,x1074)+~E(x1071,x1072)+~P7(x1071,x1073,x1074)
% 0.66/0.79 [108]P7(x1083,x1082,x1084)+~E(x1081,x1082)+~P7(x1083,x1081,x1084)
% 0.66/0.79 [109]P7(x1093,x1094,x1092)+~E(x1091,x1092)+~P7(x1093,x1094,x1091)
% 0.66/0.79 [110]~P2(x1101)+P2(x1102)+~E(x1101,x1102)
% 0.66/0.79 [111]~P3(x1111)+P3(x1112)+~E(x1111,x1112)
% 0.66/0.79 [112]~P9(x1121)+P9(x1122)+~E(x1121,x1122)
% 0.66/0.79 [113]~P10(x1131)+P10(x1132)+~E(x1131,x1132)
% 0.66/0.79 [114]~P12(x1141)+P12(x1142)+~E(x1141,x1142)
% 0.66/0.79 [115]~P13(x1151)+P13(x1152)+~E(x1151,x1152)
% 0.66/0.79 [116]~P4(x1161)+P4(x1162)+~E(x1161,x1162)
% 0.66/0.79 [117]P5(x1172,x1173,x1174,x1175)+~E(x1171,x1172)+~P5(x1171,x1173,x1174,x1175)
% 0.66/0.79 [118]P5(x1183,x1182,x1184,x1185)+~E(x1181,x1182)+~P5(x1183,x1181,x1184,x1185)
% 0.66/0.79 [119]P5(x1193,x1194,x1192,x1195)+~E(x1191,x1192)+~P5(x1193,x1194,x1191,x1195)
% 0.66/0.79 [120]P5(x1203,x1204,x1205,x1202)+~E(x1201,x1202)+~P5(x1203,x1204,x1205,x1201)
% 0.66/0.79 [121]~P11(x1211)+P11(x1212)+~E(x1211,x1212)
% 0.66/0.79
% 0.66/0.79 %-------------------------------------------
% 0.66/0.79 cnf(677,plain,
% 0.66/0.79 ($false),
% 0.66/0.79 inference(scs_inference,[],[241,161,350,488]),
% 0.66/0.79 ['proof']).
% 0.66/0.79 % SZS output end Proof
% 0.66/0.79 % Total time :0.030000s
%------------------------------------------------------------------------------