TSTP Solution File: SWV812-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV812-1 : 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 21:35:20 EDT 2023
% Result : Unsatisfiable 0.78s 0.91s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV812-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 06:25:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.71/0.87 %-------------------------------------------
% 0.71/0.87 % File :CSE---1.6
% 0.71/0.87 % Problem :theBenchmark
% 0.71/0.87 % Transform :cnf
% 0.71/0.87 % Format :tptp:raw
% 0.71/0.87 % Command :java -jar mcs_scs.jar %d %s
% 0.71/0.87
% 0.71/0.87 % Result :Theorem 0.110000s
% 0.71/0.87 % Output :CNFRefutation 0.110000s
% 0.71/0.87 %-------------------------------------------
% 0.71/0.88 %------------------------------------------------------------------------------
% 0.71/0.88 % File : SWV812-1 : TPTP v8.1.2. Released v4.1.0.
% 0.71/0.88 % Domain : Software Verification
% 0.71/0.88 % Problem : Needham-Schroeder shared-key protocol 499_1
% 0.71/0.88 % Version : Especial.
% 0.71/0.88 % English :
% 0.71/0.88
% 0.71/0.88 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 0.71/0.88 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.71/0.88 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.71/0.88 % Source : [Nip10]
% 0.71/0.88 % Names : NS_Shared-499_1 [Nip10]
% 0.71/0.88
% 0.71/0.88 % Status : Unsatisfiable
% 0.71/0.88 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.18 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.10 v5.4.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.21 v4.1.0
% 0.71/0.88 % Syntax : Number of clauses : 581 ( 245 unt; 75 nHn; 333 RR)
% 0.71/0.88 % Number of literals : 1133 ( 350 equ; 532 neg)
% 0.71/0.88 % Maximal clause size : 7 ( 1 avg)
% 0.71/0.88 % Maximal term depth : 10 ( 2 avg)
% 0.71/0.88 % Number of predicates : 15 ( 14 usr; 0 prp; 1-4 aty)
% 0.71/0.88 % Number of functors : 64 ( 64 usr; 18 con; 0-5 aty)
% 0.71/0.88 % Number of variables : 1782 ( 465 sgn)
% 0.71/0.88 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.71/0.88
% 0.71/0.88 % Comments :
% 0.71/0.88 %------------------------------------------------------------------------------
% 0.71/0.88 cnf(cls_keysFor__insert__Hash_0,axiom,
% 0.71/0.88 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_analz__insert__Key_0,axiom,
% 0.71/0.88 ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.71/0.88 | c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Crypt__imp__keysFor_0,axiom,
% 0.71/0.88 ( c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)
% 0.71/0.88 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.71/0.88 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_keysFor__insert__Key_0,axiom,
% 0.71/0.88 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_keysFor__insert__Nonce_0,axiom,
% 0.71/0.88 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_keysFor__insert__Agent_0,axiom,
% 0.71/0.88 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
% 0.71/0.88 ( c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)
% 0.71/0.88 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_keysFor__insert__MPair_0,axiom,
% 0.71/0.88 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_parts__insert2_0,axiom,
% 0.71/0.88 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)) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_parts__insert_0,axiom,
% 0.71/0.88 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)) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_parts__cut_0,axiom,
% 0.71/0.88 ( 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)
% 0.71/0.88 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.71/0.88 | ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_new__keys__not__used_0,axiom,
% 0.71/0.88 ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
% 0.71/0.88 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.71/0.88 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.71/0.88 | c_in(c_Message_Omsg_OKey(V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_analz__cong_0,axiom,
% 0.71/0.88 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 0.71/0.88 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 0.71/0.88 | 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))) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_analz__analz__Un_0,axiom,
% 0.71/0.88 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))) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_keysFor__parts__insert_0,axiom,
% 0.71/0.88 ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.71/0.88 | c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
% 0.71/0.88 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.71/0.88 | ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_parts__Un_0,axiom,
% 0.71/0.88 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)) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_tl_Osimps_I1_J_0,axiom,
% 0.71/0.88 c_List_Otl(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_tl_Osimps_I2_J_0,axiom,
% 0.71/0.88 c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_UnE_0,axiom,
% 0.71/0.88 ( c_in(V_c,V_B,T_a)
% 0.71/0.88 | c_in(V_c,V_A,T_a)
% 0.71/0.88 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_UnCI_0,axiom,
% 0.71/0.88 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.71/0.88 | ~ c_in(V_c,V_B,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_UnCI_1,axiom,
% 0.71/0.88 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.71/0.88 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_not__symKeys__pubK_0,axiom,
% 0.71/0.88 ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.71/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.71/0.88 | 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) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_sup__left__idem_0,axiom,
% 0.71/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.88 | 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) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Un__left__absorb_0,axiom,
% 0.71/0.88 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)) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_insert__is__Un_0,axiom,
% 0.71/0.88 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)) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.71/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.71/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_sup__commute_0,axiom,
% 0.71/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Un__commute_0,axiom,
% 0.71/0.88 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)) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.71/0.88 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.71/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.71/0.89 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.71/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.71/0.89 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__empty_0,axiom,
% 0.71/0.89 ( 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))
% 0.71/0.89 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__empty_1,axiom,
% 0.71/0.89 ( 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))
% 0.71/0.89 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Olattice(T_a)
% 0.71/0.89 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Olattice(T_a)
% 0.71/0.89 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__sup__iff_2,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.71/0.89 | ~ c_lessequals(V_y,V_z,T_a)
% 0.71/0.89 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup__least_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.71/0.89 | ~ c_lessequals(V_z,V_x,T_a)
% 0.71/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup__ge2_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup__ge1_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__supI_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.71/0.89 | ~ c_lessequals(V_b,V_x,T_a)
% 0.71/0.89 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__least_0,axiom,
% 0.71/0.89 ( 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))
% 0.71/0.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.71/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__upper1_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__upper2_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__subset__iff_2,axiom,
% 0.71/0.89 ( 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))
% 0.71/0.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.71/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Olattice(T_a)
% 0.71/0.89 | 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) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Olattice(T_a)
% 0.71/0.89 | 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) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup__left__commute_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | 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) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup__assoc_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | 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) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__assoc_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__left__commute_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_parts__Un__subset1_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_analz__Un_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup__idem_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__absorb_0,axiom,
% 0.71/0.89 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__insert__left_0,axiom,
% 0.71/0.89 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) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__insert__right_0,axiom,
% 0.71/0.89 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) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_parts__Un__subset2_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_symKeys__invKey__iff_0,axiom,
% 0.71/0.89 ( c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.71/0.89 | ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_symKeys__invKey__iff_1,axiom,
% 0.71/0.89 ( c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)
% 0.71/0.89 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup1E_0,axiom,
% 0.71/0.89 ( hBOOL(hAPP(V_B,V_x))
% 0.71/0.89 | hBOOL(hAPP(V_A,V_x))
% 0.71/0.89 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup1CI_0,axiom,
% 0.71/0.89 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.71/0.89 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup1CI_1,axiom,
% 0.71/0.89 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.71/0.89 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_invKey__K_0,axiom,
% 0.71/0.89 ( c_Message_OinvKey(V_K) = V_K
% 0.71/0.89 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup__bot__right_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.71/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup__bot__left_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.71/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__empty__left_0,axiom,
% 0.71/0.89 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 ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__empty__right_0,axiom,
% 0.71/0.89 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 ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_synth__Un_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sup__absorb1_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.71/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__iff__sup_1,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.71/0.89 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__iff__sup_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.71/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__absorb1_0,axiom,
% 0.71/0.89 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.71/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__absorb2_0,axiom,
% 0.71/0.89 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.71/0.89 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_subset__Un__eq_1,axiom,
% 0.71/0.89 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.71/0.89 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__mono_0,axiom,
% 0.71/0.89 ( 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))
% 0.71/0.89 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.71/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_not__symKeys__priK_0,axiom,
% 0.71/0.89 ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__sup__iff_1,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(V_y,V_z,T_a)
% 0.71/0.89 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__sup__iff_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(V_x,V_z,T_a)
% 0.71/0.89 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__supI2_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.71/0.89 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__supI1_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.71/0.89 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__supE_1,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(V_b,V_x,T_a)
% 0.71/0.89 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__supE_0,axiom,
% 0.71/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.71/0.89 | c_lessequals(V_a,V_x,T_a)
% 0.71/0.89 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__subset__iff_0,axiom,
% 0.71/0.89 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.71/0.89 | ~ 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)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__subset__iff_1,axiom,
% 0.71/0.89 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.71/0.89 | ~ 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)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Un__empty_2,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_analz__subset__cong_0,axiom,
% 0.71/0.89 ( 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))
% 0.71/0.89 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.71/0.89 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_sym__shrK_0,axiom,
% 0.71/0.89 c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_in__parts__UnE_0,axiom,
% 0.71/0.89 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.71/0.89 | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
% 0.71/0.89 | ~ 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) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_tl__append2_0,axiom,
% 0.71/0.89 ( c_List_Otl(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otl(V_xs,T_a),V_ys,T_a)
% 0.71/0.89 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_set__append_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 0.71/0.89 ( 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)
% 0.71/0.89 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_analz__Decrypt_H_0,axiom,
% 0.71/0.89 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.71/0.89 | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.71/0.89 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.71/0.89 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_parts__synth_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_analz__synth_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_analz__synth__Un_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_parts__insert__subset__Un_0,axiom,
% 0.71/0.89 ( 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))
% 0.71/0.89 | ~ c_in(V_X,V_G,tc_Message_Omsg) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_parts__insert__knows__A_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 0.71/0.89 ( 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)
% 0.71/0.89 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.71/0.89 | ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_Fake__analz__insert_0,axiom,
% 0.71/0.89 ( 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))
% 0.71/0.89 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_parts__insert__spies_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.71/0.89 ( 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)
% 0.71/0.89 | V_a = V_d
% 0.71/0.89 | V_b = V_d ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.71/0.89 ( 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)
% 0.71/0.89 | V_b = V_c
% 0.71/0.89 | V_a = V_c ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.71/0.89 ( 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)
% 0.71/0.89 | V_a = V_d
% 0.71/0.89 | V_a = V_c ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_event_Osimps_I3_J_0,axiom,
% 0.71/0.89 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 0.71/0.89 | V_agent = V_agent_H ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_event_Osimps_I3_J_1,axiom,
% 0.71/0.89 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 0.71/0.89 | V_msg = V_msg_H ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_parts__insert__subset_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_event_Osimps_I8_J_0,axiom,
% 0.71/0.89 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_order__antisym__conv_0,axiom,
% 0.71/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.89 | V_x = V_y
% 0.71/0.89 | ~ c_lessequals(V_x,V_y,T_a)
% 0.71/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_order__antisym_0,axiom,
% 0.71/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.89 | V_x = V_y
% 0.71/0.89 | ~ c_lessequals(V_y,V_x,T_a)
% 0.71/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_order__eq__iff_2,axiom,
% 0.71/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.89 | V_x = V_y
% 0.71/0.89 | ~ c_lessequals(V_y,V_x,T_a)
% 0.71/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_set__eq__subset_2,axiom,
% 0.71/0.89 ( V_A = V_B
% 0.71/0.89 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.71/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_equalityI_0,axiom,
% 0.71/0.89 ( V_A = V_B
% 0.71/0.89 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.71/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_parts__insert__Hash_0,axiom,
% 0.71/0.89 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_msg_Osimps_I15_J_0,axiom,
% 0.71/0.89 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_event_Osimps_I2_J_0,axiom,
% 0.71/0.89 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 0.71/0.89 | V_agent = V_agent_H ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_event_Osimps_I2_J_1,axiom,
% 0.71/0.89 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 0.71/0.89 | V_msg = V_msg_H ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_bot1E_0,axiom,
% 0.71/0.89 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_shrK__neq__pubK_0,axiom,
% 0.71/0.89 c_Public_OpublicKey(V_b,V_C) != c_Public_OshrK(V_A) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_pushes_I11_J_0,axiom,
% 0.71/0.89 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_parts__insert__Agent_0,axiom,
% 0.71/0.89 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) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_synth__insert_0,axiom,
% 0.71/0.89 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)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_subset__insertI_0,axiom,
% 0.71/0.89 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_insert__code_0,axiom,
% 0.71/0.89 ( hBOOL(hAPP(V_A,V_x))
% 0.71/0.89 | V_y = V_x
% 0.71/0.89 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_insert__absorb2_0,axiom,
% 0.71/0.89 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) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_distinct__dropWhile_0,axiom,
% 0.71/0.89 ( c_List_Odistinct(c_List_OdropWhile(V_P,V_xs,T_a),T_a)
% 0.71/0.89 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_insert__not__empty_0,axiom,
% 0.71/0.89 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_bot__least_0,axiom,
% 0.71/0.89 ( ~ class_Orderings_Obot(T_a)
% 0.71/0.89 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_empty__subsetI_0,axiom,
% 0.71/0.89 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_used__nil__subset_0,axiom,
% 0.71/0.89 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_used__parts__subset__parts_0,axiom,
% 0.71/0.89 ( 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))
% 0.71/0.89 | ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_invKey__eq_0,axiom,
% 0.71/0.89 ( c_Message_OinvKey(V_K) != c_Message_OinvKey(V_K_H)
% 0.71/0.89 | V_K = V_K_H ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_subset__insertI2_0,axiom,
% 0.71/0.89 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.71/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_secrecy__lemma_0,axiom,
% 0.71/0.89 ( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.71/0.89 | 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),c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.89 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.71/0.89 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.71/0.89 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.71/0.89 | ~ 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(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_takeWhile__neq__rev_0,axiom,
% 0.71/0.89 ( c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(T_a),V_x,T_a,T_a,tc_bool),tc_bool,tc_bool,T_a),c_List_Orev(V_xs,T_a),T_a) = c_List_Orev(c_List_Otl(c_List_OdropWhile(c_COMBB(c_Not,c_COMBC(c_fequal(T_a),V_x,T_a,T_a,tc_bool),tc_bool,tc_bool,T_a),V_xs,T_a),T_a),T_a)
% 0.71/0.89 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.71/0.89 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_ns__shared_ONS2_0,axiom,
% 0.71/0.89 ( 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(c_Message_Omsg_OKey(V_KAB),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(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))
% 0.71/0.89 | ~ 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)
% 0.71/0.89 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 0.71/0.89 | c_in(c_Message_Omsg_OKey(V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 0.71/0.89 | ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 0.71/0.90 ( 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(c_Message_Omsg_OKey(V_KAB),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent))
% 0.71/0.90 | ~ 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)
% 0.71/0.90 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 0.71/0.90 | c_in(c_Message_Omsg_OKey(V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 0.71/0.90 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_ns__shared_ONS4_0,axiom,
% 0.71/0.90 ( 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))
% 0.71/0.90 | ~ c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.90 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.71/0.90 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Fake__parts__sing_0,axiom,
% 0.71/0.90 ( 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))
% 0.71/0.90 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 0.71/0.90 ( 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))
% 0.71/0.90 | ~ c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.90 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.71/0.90 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 0.71/0.90 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_used__Notes_0,axiom,
% 0.71/0.90 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)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_used__Says_0,axiom,
% 0.71/0.90 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)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_ns__shared_ONS5_0,axiom,
% 0.71/0.90 ( 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))
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.90 | ~ 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)
% 0.71/0.90 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.71/0.90 | ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Fake__parts__sing__imp__Un_0,axiom,
% 0.71/0.90 ( 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)
% 0.71/0.90 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.71/0.90 | ~ 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) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Fake__parts__insert_0,axiom,
% 0.71/0.90 ( 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))
% 0.71/0.90 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 0.71/0.90 ( 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))
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.90 | ~ 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)
% 0.71/0.90 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.71/0.90 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.71/0.90 ( 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)
% 0.71/0.90 | V_b = V_c
% 0.71/0.90 | V_b = V_d ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_pushes_I4_J_0,axiom,
% 0.71/0.90 c_Set_Oinsert(c_Message_Omsg_OKey(V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_subset__empty_0,axiom,
% 0.71/0.90 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.71/0.90 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_subset__empty_1,axiom,
% 0.71/0.90 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)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_empty__not__insert_0,axiom,
% 0.71/0.90 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_msg_Osimps_I5_J_0,axiom,
% 0.71/0.90 ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H)
% 0.71/0.90 | V_msg = V_msg_H ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Issues__def_1,axiom,
% 0.71/0.90 ( 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)
% 0.71/0.90 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_insert__code_1,axiom,
% 0.71/0.90 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_insert__subset_2,axiom,
% 0.71/0.90 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.71/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.71/0.90 | ~ c_in(V_x,V_B,T_a) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_invKey_0,axiom,
% 0.71/0.90 c_Message_OinvKey(c_Message_OinvKey(V_K)) = V_K ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_pubK__neq__shrK_0,axiom,
% 0.71/0.90 c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_event_Osimps_I9_J_0,axiom,
% 0.71/0.90 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_xt1_I6_J_0,axiom,
% 0.71/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.90 | c_lessequals(V_z,V_x,T_a)
% 0.71/0.90 | ~ c_lessequals(V_z,V_y,T_a)
% 0.71/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_order__trans_0,axiom,
% 0.71/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.90 | c_lessequals(V_x,V_z,T_a)
% 0.71/0.90 | ~ c_lessequals(V_y,V_z,T_a)
% 0.71/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_equalityE_0,axiom,
% 0.71/0.90 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_subset__refl_0,axiom,
% 0.71/0.90 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_subset__trans_0,axiom,
% 0.71/0.90 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.71/0.90 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.71/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_predicate1D_0,axiom,
% 0.71/0.90 ( hBOOL(hAPP(V_Q,V_x))
% 0.71/0.90 | ~ hBOOL(hAPP(V_P,V_x))
% 0.71/0.90 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_order__eq__iff_0,axiom,
% 0.71/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.90 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_order__eq__refl_0,axiom,
% 0.71/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.90 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_rev__predicate1D_0,axiom,
% 0.71/0.90 ( hBOOL(hAPP(V_Q,V_x))
% 0.71/0.90 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.71/0.90 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_priK__neq__shrK_0,axiom,
% 0.71/0.90 c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_singleton__iff_1,axiom,
% 0.71/0.90 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_subset__singletonD_0,axiom,
% 0.71/0.90 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.71/0.90 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.71/0.90 | ~ 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)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_pushes_I1_J_0,axiom,
% 0.71/0.90 c_Set_Oinsert(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(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_used__Gets_0,axiom,
% 0.71/0.90 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) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_insert__mono_0,axiom,
% 0.71/0.90 ( 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))
% 0.71/0.90 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_shrK__neq__priK_0,axiom,
% 0.71/0.90 c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) != c_Public_OshrK(V_A) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_analz__insert_0,axiom,
% 0.71/0.90 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)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 0.71/0.90 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 0.71/0.90 | V_agent = V_agent_H ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 0.71/0.90 c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_linorder__linear_0,axiom,
% 0.71/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.90 | c_lessequals(V_y,V_x,T_a)
% 0.71/0.90 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 0.71/0.90 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)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Notes__imp__used_0,axiom,
% 0.71/0.90 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 0.71/0.90 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)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
% 0.71/0.90 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)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_knows__Gets_0,axiom,
% 0.71/0.90 ( 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)
% 0.71/0.90 | V_A = c_Message_Oagent_OSpy ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Issues__def_0,axiom,
% 0.71/0.90 ( 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)
% 0.71/0.90 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_ns__sharedp_OOops_0,axiom,
% 0.71/0.90 ( 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),c_Message_Omsg_OKey(V_K)))),V_evso,tc_Event_Oevent))
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.90 | ~ 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)
% 0.71/0.90 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_MPair__used_0,axiom,
% 0.71/0.90 ( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_MPair__used_1,axiom,
% 0.71/0.90 ( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_set__subset__Cons_0,axiom,
% 0.71/0.90 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)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 0.71/0.90 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) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_set__empty_1,axiom,
% 0.71/0.90 c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_set__empty2_0,axiom,
% 0.71/0.90 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_List_Oset(V_xs,T_a)
% 0.71/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_set__empty2_1,axiom,
% 0.71/0.90 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_set__empty_0,axiom,
% 0.71/0.90 ( c_List_Oset(V_xs,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.71/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_parts__emptyE_0,axiom,
% 0.71/0.90 ~ c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_parts__trans_0,axiom,
% 0.71/0.90 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.71/0.90 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.71/0.90 | ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_parts__cut__eq_0,axiom,
% 0.71/0.90 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 0.71/0.90 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_parts__insertI_0,axiom,
% 0.71/0.90 ( c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_split__list__last__prop__iff_6,axiom,
% 0.71/0.90 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))
% 0.71/0.90 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a)))
% 0.71/0.90 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_split__list__first__prop__iff_6,axiom,
% 0.71/0.90 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))
% 0.71/0.90 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a)))
% 0.71/0.90 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_parts__insert__MPair_0,axiom,
% 0.71/0.90 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) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_pushes_I12_J_0,axiom,
% 0.71/0.90 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) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_analz__insertI_0,axiom,
% 0.71/0.90 ( c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_analz__insert__eq_0,axiom,
% 0.71/0.90 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 0.71/0.90 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_analz__cut_0,axiom,
% 0.71/0.90 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_analz__trans_0,axiom,
% 0.71/0.90 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.71/0.90 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.71/0.90 | ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_pushes_I5_J_0,axiom,
% 0.71/0.90 c_Set_Oinsert(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(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_parts__insert__Crypt_0,axiom,
% 0.71/0.90 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) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_analz__insert__MPair_0,axiom,
% 0.71/0.90 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) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_analz__Crypt__if_1,axiom,
% 0.71/0.90 ( 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)
% 0.71/0.90 | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_analz__Crypt__if_0,axiom,
% 0.71/0.90 ( 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)
% 0.71/0.90 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_parts__insert__Key_0,axiom,
% 0.71/0.90 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OKey(V_K),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_analz__subset__parts_0,axiom,
% 0.71/0.90 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Agent__synth_0,axiom,
% 0.71/0.90 c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_synth_OAgent_0,axiom,
% 0.71/0.90 c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Hash__synth_0,axiom,
% 0.71/0.90 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.71/0.90 | c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_synth__cut_0,axiom,
% 0.71/0.90 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_synth__trans_0,axiom,
% 0.71/0.90 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.71/0.90 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.71/0.90 | ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_synth_OHash_0,axiom,
% 0.71/0.90 ( c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_pushes_I6_J_0,axiom,
% 0.71/0.90 c_Set_Oinsert(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(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_synth__analz__insert__eq_0,axiom,
% 0.71/0.90 ( c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.71/0.90 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.71/0.90 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_synth__analz__insert__eq_1,axiom,
% 0.71/0.90 ( c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 0.71/0.90 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.71/0.90 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_parts__insert__Nonce_0,axiom,
% 0.71/0.90 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) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_pushes_I9_J_0,axiom,
% 0.71/0.90 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) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_synth__analz__mono_0,axiom,
% 0.71/0.90 ( 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))
% 0.71/0.90 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_pushes_I2_J_0,axiom,
% 0.71/0.90 c_Set_Oinsert(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(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_analz__insert__Nonce_0,axiom,
% 0.71/0.90 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) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_takeWhile__dropWhile__id_0,axiom,
% 0.71/0.90 c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_OdropWhile(V_P,V_xs,T_a),T_a) = V_xs ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_takeWhile__append2_1,axiom,
% 0.71/0.90 ( c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(V_xs,c_List_OtakeWhile(V_P,V_ys,T_a),T_a)
% 0.71/0.90 | ~ hBOOL(hAPP(V_P,c_List_Osko__List__XtakeWhile__append2__1__1(V_P,V_xs,T_a))) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 0.71/0.90 ( 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))
% 0.71/0.90 | ~ 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)
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.90 | V_A = c_Message_Oagent_OServer
% 0.71/0.90 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 0.71/0.90 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)) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Server__not__bad_0,axiom,
% 0.71/0.90 ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_ns__shared_ONS1_0,axiom,
% 0.71/0.90 ( 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))
% 0.71/0.90 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 0.71/0.90 | ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_knows__Spy__Notes_0,axiom,
% 0.71/0.90 ( 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)
% 0.71/0.90 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Says__Server__message__form_1,axiom,
% 0.71/0.90 ( V_X = c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OAgent(V_A)))
% 0.71/0.90 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_unique__session__keys_3,axiom,
% 0.71/0.90 ( V_X = V_X_H
% 0.71/0.90 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_unique__session__keys_2,axiom,
% 0.71/0.90 ( V_B = V_B_H
% 0.71/0.90 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_unique__session__keys_1,axiom,
% 0.71/0.90 ( V_NA = V_NA_H
% 0.71/0.90 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_unique__session__keys_0,axiom,
% 0.71/0.90 ( V_A = V_A_H
% 0.71/0.90 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.71/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.71/0.90
% 0.71/0.90 cnf(cls_Says__Server__message__form_2,axiom,
% 0.71/0.90 ( V_K_H = c_Public_OshrK(V_A)
% 0.71/0.90 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_distinct_Osimps_I2_J_2,axiom,
% 0.78/0.90 ( c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 0.78/0.90 | ~ c_List_Odistinct(V_xs,T_a)
% 0.78/0.90 | c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_distinct_Osimps_I2_J_0,axiom,
% 0.78/0.90 ( ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.78/0.90 | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_dropWhile__eq__Nil__conv_0,axiom,
% 0.78/0.90 ( c_List_OdropWhile(V_P,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.78/0.90 | hBOOL(hAPP(V_P,V_x))
% 0.78/0.90 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_dropWhile__append1_0,axiom,
% 0.78/0.90 ( c_List_OdropWhile(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_OdropWhile(V_P,V_xs,T_a),V_ys,T_a)
% 0.78/0.90 | hBOOL(hAPP(V_P,V_x))
% 0.78/0.90 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_ns__shared_OOops_0,axiom,
% 0.78/0.90 ( 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),c_Message_Omsg_OKey(V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.90 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.90 | ~ 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)
% 0.78/0.90 | ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_Fake__analz__eq_0,axiom,
% 0.78/0.90 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 0.78/0.90 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_shrK__in__knows_0,axiom,
% 0.78/0.90 c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_insert__subset_1,axiom,
% 0.78/0.90 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.78/0.90 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_invKey__shrK_0,axiom,
% 0.78/0.90 c_Message_OinvKey(c_Public_OshrK(V_A)) = c_Public_OshrK(V_A) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 0.78/0.90 c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_singletonE_0,axiom,
% 0.78/0.90 ( V_b = V_a
% 0.78/0.90 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_publicKey__inject_1,axiom,
% 0.78/0.90 ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)
% 0.78/0.90 | V_A = V_A_H ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_publicKey__inject_0,axiom,
% 0.78/0.90 ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)
% 0.78/0.90 | V_b = V_c ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_insert__commute_0,axiom,
% 0.78/0.90 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) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.78/0.90 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) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_singleton__inject_0,axiom,
% 0.78/0.90 ( 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)
% 0.78/0.90 | V_a = V_b ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_pushes_I8_J_0,axiom,
% 0.78/0.90 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) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.78/0.90 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.78/0.90 | c_in(V_x,V_xa,T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_insert__subset_0,axiom,
% 0.78/0.90 ( c_in(V_x,V_B,T_a)
% 0.78/0.90 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_insert__code_2,axiom,
% 0.78/0.90 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.78/0.90 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_subset__insert__iff_2,axiom,
% 0.78/0.90 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.78/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.78/0.90 | c_in(V_x,V_A,T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_subset__insert__iff_1,axiom,
% 0.78/0.90 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.78/0.90 | c_in(V_x,V_A,T_a)
% 0.78/0.90 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_subset__insert_1,axiom,
% 0.78/0.90 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.78/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.78/0.90 | c_in(V_x,V_A,T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_subset__insert_0,axiom,
% 0.78/0.90 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.78/0.90 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.78/0.90 | c_in(V_x,V_A,T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_analz__insert__Agent_0,axiom,
% 0.78/0.90 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) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_msg_Osimps_I14_J_0,axiom,
% 0.78/0.90 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_analz__insert__Hash_0,axiom,
% 0.78/0.90 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_shrK__injective_0,axiom,
% 0.78/0.90 ( c_Public_OshrK(V_x) != c_Public_OshrK(V_y)
% 0.78/0.90 | V_x = V_y ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_privateKey__into__used_0,axiom,
% 0.78/0.90 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_le__funD_0,axiom,
% 0.78/0.90 ( ~ class_HOL_Oord(T_b)
% 0.78/0.90 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.78/0.90 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_insert__iff_2,axiom,
% 0.78/0.90 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 0.78/0.90 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_insertCI_0,axiom,
% 0.78/0.90 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 0.78/0.90 | ~ c_in(V_a,V_B,T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_subset__iff_0,axiom,
% 0.78/0.90 ( c_in(V_t,V_B,T_a)
% 0.78/0.90 | ~ c_in(V_t,V_A,T_a)
% 0.78/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_set__rev__mp_0,axiom,
% 0.78/0.90 ( c_in(V_x,V_B,T_a)
% 0.78/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.78/0.90 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_subsetD_0,axiom,
% 0.78/0.90 ( c_in(V_c,V_B,T_a)
% 0.78/0.90 | ~ c_in(V_c,V_A,T_a)
% 0.78/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_set__mp_0,axiom,
% 0.78/0.90 ( c_in(V_x,V_B,T_a)
% 0.78/0.90 | ~ c_in(V_x,V_A,T_a)
% 0.78/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_ex__in__conv_0,axiom,
% 0.78/0.90 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.78/0.90
% 0.78/0.90 cnf(cls_ball__empty_0,axiom,
% 0.78/0.90 ( hBOOL(hAPP(V_P,V_x))
% 0.78/0.90 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_empty__iff_0,axiom,
% 0.78/0.91 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_emptyE_0,axiom,
% 0.78/0.91 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_insertE_0,axiom,
% 0.78/0.91 ( c_in(V_a,V_A,T_a)
% 0.78/0.91 | V_a = V_b
% 0.78/0.91 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_insert__iff_1,axiom,
% 0.78/0.91 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_insertI1_0,axiom,
% 0.78/0.91 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_insertCI_1,axiom,
% 0.78/0.91 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_bex__empty_0,axiom,
% 0.78/0.91 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.78/0.91 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_insert__ident_0,axiom,
% 0.78/0.91 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.78/0.91 | c_in(V_x,V_B,T_a)
% 0.78/0.91 | c_in(V_x,V_A,T_a)
% 0.78/0.91 | V_A = V_B ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_insert__absorb_0,axiom,
% 0.78/0.91 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.78/0.91 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_dropWhile_Osimps_I2_J_1,axiom,
% 0.78/0.91 ( c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a)
% 0.78/0.91 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_dropWhile_Osimps_I2_J_0,axiom,
% 0.78/0.91 ( c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_OdropWhile(V_P,V_xs,T_a)
% 0.78/0.91 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_dropWhile__eq__Cons__conv_1,axiom,
% 0.78/0.91 ( c_List_OdropWhile(V_P,V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.78/0.91 | ~ hBOOL(hAPP(V_P,V_y)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_distinct_Osimps_I2_J_1,axiom,
% 0.78/0.91 ( c_List_Odistinct(V_xs,T_a)
% 0.78/0.91 | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_distinct_Osimps_I1_J_0,axiom,
% 0.78/0.91 c_List_Odistinct(c_List_Olist_ONil(T_a),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_dropWhile_Osimps_I1_J_0,axiom,
% 0.78/0.91 c_List_OdropWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I45_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I44_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_publicKey__into__used_0,axiom,
% 0.78/0.91 c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_shrK__in__used_0,axiom,
% 0.78/0.91 c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_neq__shrK_0,axiom,
% 0.78/0.91 c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts__increasing_0,axiom,
% 0.78/0.91 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts__mono_0,axiom,
% 0.78/0.91 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.78/0.91 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts__empty_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts__subset__iff_1,axiom,
% 0.78/0.91 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.78/0.91 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts__subset__iff_0,axiom,
% 0.78/0.91 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.78/0.91 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_gen__analz__insert__eq_0,axiom,
% 0.78/0.91 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 0.78/0.91 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.78/0.91 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I46_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I47_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_distinct__append_1,axiom,
% 0.78/0.91 ( c_List_Odistinct(V_ys,T_a)
% 0.78/0.91 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_distinct__append_0,axiom,
% 0.78/0.91 ( c_List_Odistinct(V_xs,T_a)
% 0.78/0.91 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OKey(V_nat_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I39_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OKey(V_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OKey(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I38_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OKey(V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__insert__cong_0,axiom,
% 0.78/0.91 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 0.78/0.91 | 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)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__mono_0,axiom,
% 0.78/0.91 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.78/0.91 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__empty_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__subset__iff_1,axiom,
% 0.78/0.91 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.78/0.91 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__subset__iff_0,axiom,
% 0.78/0.91 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.78/0.91 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__increasing_0,axiom,
% 0.78/0.91 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_synth__increasing_0,axiom,
% 0.78/0.91 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_synth__mono_0,axiom,
% 0.78/0.91 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.78/0.91 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_synth__subset__iff_1,axiom,
% 0.78/0.91 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.78/0.91 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_synth__subset__iff_0,axiom,
% 0.78/0.91 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.78/0.91 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 0.78/0.91 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 0.78/0.91 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I32_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I33_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_event_Osimps_I4_J_0,axiom,
% 0.78/0.91 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_event_Osimps_I6_J_0,axiom,
% 0.78/0.91 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_event_Osimps_I5_J_0,axiom,
% 0.78/0.91 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_event_Osimps_I7_J_0,axiom,
% 0.78/0.91 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_distinct__rev_1,axiom,
% 0.78/0.91 ( c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a)
% 0.78/0.91 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_distinct__rev_0,axiom,
% 0.78/0.91 ( c_List_Odistinct(V_xs,T_a)
% 0.78/0.91 | ~ c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_knows__Notes_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_knows__subset__knows__Gets_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_distinct__takeWhile_0,axiom,
% 0.78/0.91 ( c_List_Odistinct(c_List_OtakeWhile(V_P,V_xs,T_a),T_a)
% 0.78/0.91 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 0.78/0.91 ( 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))
% 0.78/0.91 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 0.78/0.91 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_lemma1_0,axiom,
% 0.78/0.91 ( 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))
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_lemma2_0,axiom,
% 0.78/0.91 ( 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))
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_ns__sharedp_ONil_0,axiom,
% 0.78/0.91 c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_dropWhile__eq__Cons__conv_0,axiom,
% 0.78/0.91 ( c_List_OdropWhile(V_P,V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.78/0.91 | V_xs = c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_dropWhile__eq__Cons__conv_2,axiom,
% 0.78/0.91 ( V_xs != c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
% 0.78/0.91 | c_List_OdropWhile(V_P,V_xs,T_a) = c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.78/0.91 | hBOOL(hAPP(V_P,V_y)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_B__trusts__NS5_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | 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),c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(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)
% 0.78/0.91 | ~ 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 0.78/0.91 ( c_in(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)
% 0.78/0.91 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_knows__Spy__Gets_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_knows__subset__knows__Says_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_knows__Says_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 0.78/0.91 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 0.78/0.91 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_dropWhile__neq__rev_0,axiom,
% 0.78/0.91 ( c_List_OdropWhile(c_COMBB(c_Not,c_COMBC(c_fequal(T_a),V_x,T_a,T_a,tc_bool),tc_bool,tc_bool,T_a),c_List_Orev(V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Orev(c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(T_a),V_x,T_a,T_a,tc_bool),tc_bool,tc_bool,T_a),V_xs,T_a),T_a),T_a)
% 0.78/0.91 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.78/0.91 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_ns__shared_ONS3_0,axiom,
% 0.78/0.91 ( 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))
% 0.78/0.91 | ~ 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)
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.91 | V_A = c_Message_Oagent_OServer
% 0.78/0.91 | ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_NS4__implies__NS3_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | ~ 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)
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.91 | c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_B__trusts__NS3_0,axiom,
% 0.78/0.91 ( 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(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Spy__not__see__encrypted__key_0,axiom,
% 0.78/0.91 ( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | 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),c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_spies__takeWhile_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_split__list__first__prop__iff_4,axiom,
% 0.78/0.91 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))
% 0.78/0.91 | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a),c_List_Oset(V_x,T_a),T_a)
% 0.78/0.91 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_split__list__last__prop__iff_5,axiom,
% 0.78/0.91 ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a)
% 0.78/0.91 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a)))
% 0.78/0.91 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_split__list__first__prop__iff_3,axiom,
% 0.78/0.91 ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a)
% 0.78/0.91 | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a),c_List_Oset(V_x,T_a),T_a)
% 0.78/0.91 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_split__list__last__prop__iff_4,axiom,
% 0.78/0.91 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))
% 0.78/0.91 | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a),c_List_Oset(V_xb,T_a),T_a)
% 0.78/0.91 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_split__list__first__prop__iff_5,axiom,
% 0.78/0.91 ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a)
% 0.78/0.91 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a)))
% 0.78/0.91 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_split__list__last__prop__iff_3,axiom,
% 0.78/0.91 ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a)
% 0.78/0.91 | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a),c_List_Oset(V_xb,T_a),T_a)
% 0.78/0.91 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_A__trusts__NS4_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | 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),c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz_ODecrypt_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Hash__synth__analz_0,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.78/0.91 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Hash__synth__analz_1,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_takeWhile__append2_0,axiom,
% 0.78/0.91 ( c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(V_xs,c_List_OtakeWhile(V_P,V_ys,T_a),T_a)
% 0.78/0.91 | c_in(c_List_Osko__List__XtakeWhile__append2__1__1(V_P,V_xs,T_a),c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_usedI_0,axiom,
% 0.78/0.91 ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_spies__pubK_0,axiom,
% 0.78/0.91 c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Notes__imp__knows_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Says__imp__used_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_spies__Notes__rev_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_knows__Spy__Says_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_A__authenticates__and__keydist__to__B_0,axiom,
% 0.78/0.91 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),V_evs)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Oops__parts__spies_0,axiom,
% 0.78/0.91 ( c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts__spies__takeWhile__mono_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts__spies__evs__revD2_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_A__trusts__NS4__lemma_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | ~ 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)
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.91 | c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_A__trusts__NS2_0,axiom,
% 0.78/0.91 ( 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Issues__def_3,axiom,
% 0.78/0.91 ( c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs)
% 0.78/0.91 | 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)
% 0.78/0.91 | ~ 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)
% 0.78/0.91 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_x),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Crypt__synth__analz_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Crypt__synth__analz_1,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__spies__pubK_0,axiom,
% 0.78/0.91 c_in(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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__mono__contra_I3_J_0,axiom,
% 0.78/0.91 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 0.78/0.91 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Gets__imp__knows__agents_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.91 | V_A = c_Message_Oagent_OSpy ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_knows__Spy__Notes_1,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_B__trusts__NS5__lemma_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | ~ 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)
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.78/0.91 | c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_cert__A__form_1,axiom,
% 0.78/0.91 ( V_X = c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OAgent(V_A)))
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_spies__Gets__rev_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Issues__def_2,axiom,
% 0.78/0.91 ( ~ 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)
% 0.78/0.91 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Says__S__message__form_1,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | V_X = c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OAgent(V_A)))
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_spies__Says__rev_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_ns__sharedp_OFake_0,axiom,
% 0.78/0.91 ( 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))
% 0.78/0.91 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 0.78/0.91 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | ~ 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_A__trusts__NS5_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ 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(c_Message_Omsg_OKey(V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_spies__Notes__rev_1,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Spy__see__shrK_0,axiom,
% 0.78/0.91 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Spy__see__shrK_1,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Spy__analz__shrK_1,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Spy__analz__shrK_0,axiom,
% 0.78/0.91 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_B__Issues__A_0,axiom,
% 0.78/0.91 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs)
% 0.78/0.91 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.78/0.91 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.78/0.91 | c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz_OInj_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts_OInj_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_event_Osimps_I1_J_2,axiom,
% 0.78/0.91 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.78/0.91 | V_msg = V_msg_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_event_Osimps_I1_J_1,axiom,
% 0.78/0.91 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.78/0.91 | V_agent2 = V_agent2_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_event_Osimps_I1_J_0,axiom,
% 0.78/0.91 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.78/0.91 | V_agent1 = V_agent1_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__self__conv_0,axiom,
% 0.78/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.78/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_self__append__conv_0,axiom,
% 0.78/0.91 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.78/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__self__conv2_0,axiom,
% 0.78/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.78/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_self__append__conv2_0,axiom,
% 0.78/0.91 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.78/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_takeWhile_Osimps_I1_J_0,axiom,
% 0.78/0.91 c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OKey(V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_spies__evs__rev_0,axiom,
% 0.78/0.91 c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_list_Oinject_0,axiom,
% 0.78/0.91 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.78/0.91 | V_a = V_a_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_list_Oinject_1,axiom,
% 0.78/0.91 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.78/0.91 | V_list = V_list_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_takeWhile__eq__all__conv_0,axiom,
% 0.78/0.91 ( c_List_OtakeWhile(V_P,V_xs,T_a) != V_xs
% 0.78/0.91 | hBOOL(hAPP(V_P,V_x))
% 0.78/0.91 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts_OFst_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts_OSnd_0,axiom,
% 0.78/0.91 ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Nil__is__rev__conv_1,axiom,
% 0.78/0.91 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz_OFst_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz_OSnd_0,axiom,
% 0.78/0.91 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_ns__shared_ONil_0,axiom,
% 0.78/0.91 c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__idem_0,axiom,
% 0.78/0.91 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_MPair__synth__analz_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_MPair__synth__analz_1,axiom,
% 0.78/0.91 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Says__imp__knows_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts__analz_0,axiom,
% 0.78/0.91 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append1__eq__conv_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | V_xs = V_ys ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append1__eq__conv_1,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | V_x = V_y ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.78/0.91 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__assoc_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__eq__appendI_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Nil__is__rev__conv_0,axiom,
% 0.78/0.91 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 0.78/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_synth_OMPair_0,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__is__rev__conv_0,axiom,
% 0.78/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 0.78/0.91 | V_xs = V_ys ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Says__imp__spies_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Spy__in__bad_0,axiom,
% 0.78/0.91 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_ns__shared_OFake_0,axiom,
% 0.78/0.91 ( 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))
% 0.78/0.91 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.78/0.91 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OKey(V_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts__idem_0,axiom,
% 0.78/0.91 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_set__rev_0,axiom,
% 0.78/0.91 c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OKey(V_nat_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_takeWhile__tail_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__parts_0,axiom,
% 0.78/0.91 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Key__synth__eq_1,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Key__synth_0,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.78/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.78/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.78/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.78/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_in__set__conv__decomp__first_2,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | c_in(V_x,c_List_Oset(V_xa,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_in__set__conv__decomp__last_2,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | c_in(V_x,c_List_Oset(V_xb,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.78/0.91 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.78/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.78/0.91 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.78/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_takeWhile__append1_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | hBOOL(hAPP(V_P,V_x))
% 0.78/0.91 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_in__set__conv__decomp_1,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts_OBody_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_parts__partsD_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_MPair__synth_1,axiom,
% 0.78/0.91 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_MPair__synth_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__singleton__conv_0,axiom,
% 0.78/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 0.78/0.91 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 0.78/0.91 ( c_Message_Omsg_OKey(V_nat) != c_Message_Omsg_OKey(V_nat_H)
% 0.78/0.91 | V_nat = V_nat_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__rev__ident_0,axiom,
% 0.78/0.91 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__swap_1,axiom,
% 0.78/0.91 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__swap_0,axiom,
% 0.78/0.91 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_self__append__conv2_1,axiom,
% 0.78/0.91 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__Nil_0,axiom,
% 0.78/0.91 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_self__append__conv_1,axiom,
% 0.78/0.91 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.78/0.91 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__Nil2_0,axiom,
% 0.78/0.91 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_MPair__synth__analz_2,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_same__append__eq_0,axiom,
% 0.78/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.78/0.91 | V_ys = V_zs ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__same__eq_0,axiom,
% 0.78/0.91 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.78/0.91 | V_ys = V_zs ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_takeWhile_Osimps_I2_J_1,axiom,
% 0.78/0.91 ( c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a)
% 0.78/0.91 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_singleton__rev__conv_0,axiom,
% 0.78/0.91 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 0.78/0.91 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__analzD_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 0.78/0.91 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 0.78/0.91 | V_nat = V_nat_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_mem__def_1,axiom,
% 0.78/0.91 ( c_in(V_x,V_S,T_a)
% 0.78/0.91 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_mem__def_0,axiom,
% 0.78/0.91 ( hBOOL(hAPP(V_S,V_x))
% 0.78/0.91 | ~ c_in(V_x,V_S,T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_COMBB__def_0,axiom,
% 0.78/0.91 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_COMBC__def_0,axiom,
% 0.78/0.91 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 0.78/0.91 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 0.78/0.91 | V_nat = V_nat_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 0.78/0.91 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 0.78/0.91 | V_msg = V_msg_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_set__ConsD_0,axiom,
% 0.78/0.91 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a)
% 0.78/0.91 | V_y = V_x
% 0.78/0.91 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__singleton__conv_1,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 0.78/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.78/0.91 | 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_append__Cons_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 0.78/0.91 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 0.78/0.91 | V_msg1 = V_msg1_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 0.78/0.91 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 0.78/0.91 | V_msg2 = V_msg2_H ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_synth_OInj_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_neq__Nil__conv_1,axiom,
% 0.78/0.91 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.78/0.91 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OKey(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Crypt__synth__eq_1,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.78/0.91 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Crypt__synth__eq_0,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Crypt__synth_1,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)
% 0.78/0.91 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_synth__synthD_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_takeWhile_Osimps_I2_J_0,axiom,
% 0.78/0.91 ( 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)
% 0.78/0.91 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_synth__idem_0,axiom,
% 0.78/0.91 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Crypt__synth_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__is__Nil__conv_0,axiom,
% 0.78/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.78/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_not__Cons__self2_0,axiom,
% 0.78/0.91 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_not__Cons__self_0,axiom,
% 0.78/0.91 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 0.78/0.91 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.78/0.91 | 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_singleton__rev__conv_1,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_set__takeWhileD_0,axiom,
% 0.78/0.91 ( c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.78/0.91 | ~ c_in(V_x,c_List_Oset(c_List_OtakeWhile(V_P,V_xs,T_a),T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OKey(V_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Nonce__synth__eq_1,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Nonce__synth__eq_0,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Nonce__synth_0,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_synth_OCrypt_0,axiom,
% 0.78/0.91 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.78/0.91 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 0.78/0.91 c_Message_Omsg_OKey(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__is__Nil__conv_1,axiom,
% 0.78/0.91 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rev__append_0,axiom,
% 0.78/0.91 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) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_set__takeWhileD_1,axiom,
% 0.78/0.91 ( hBOOL(hAPP(V_P,V_x))
% 0.78/0.91 | ~ c_in(V_x,c_List_Oset(c_List_OtakeWhile(V_P,V_xs,T_a),T_a),T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_not__parts__not__analz_0,axiom,
% 0.78/0.91 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.78/0.91 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__into__parts_0,axiom,
% 0.78/0.91 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_analz__conj__parts_0,axiom,
% 0.78/0.91 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.78/0.91 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_conjecture_0,negated_conjecture,
% 0.78/0.91 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_conjecture_1,negated_conjecture,
% 0.78/0.91 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_conjecture_2,negated_conjecture,
% 0.78/0.91 c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_conjecture_3,negated_conjecture,
% 0.78/0.91 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_conjecture_4,negated_conjecture,
% 0.78/0.91 ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_conjecture_5,negated_conjecture,
% 0.78/0.91 v_A = c_Message_Oagent_OSpy ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_conjecture_6,negated_conjecture,
% 0.78/0.91 v_B = v_Ba ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_conjecture_7,negated_conjecture,
% 0.78/0.91 c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))) = v_X ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_conjecture_8,negated_conjecture,
% 0.78/0.91 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(c_Message_Oagent_OSpy,v_Ba,v_X),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Oappend(c_List_Orev(v_evsf,tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_conjecture_9,negated_conjecture,
% 0.78/0.91 ( ~ 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(v_evsf,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
% 0.78/0.91 | ~ 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_evsf,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.78/0.91 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.78/0.91 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.78/0.91 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.78/0.91 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.78/0.91 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.78/0.91 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.78/0.91 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.78/0.91 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.78/0.91 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.78/0.91 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.78/0.91 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.78/0.91 | ~ class_Orderings_Obot(T_1) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.78/0.91 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.78/0.91 | ~ class_HOL_Oord(T_1) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.78/0.91 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.78/0.91 class_Orderings_Opreorder(tc_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.78/0.91 class_Orderings_Olinorder(tc_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.78/0.91 class_Lattices_Olattice(tc_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.78/0.91 class_Orderings_Oorder(tc_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.78/0.91 class_Orderings_Obot(tc_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.78/0.91 class_HOL_Oord(tc_nat) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.78/0.91 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.78/0.91 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.78/0.91 class_Orderings_Opreorder(tc_bool) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.78/0.91 class_Lattices_Olattice(tc_bool) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.78/0.91 class_Orderings_Oorder(tc_bool) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.78/0.91 class_Orderings_Obot(tc_bool) ).
% 0.78/0.91
% 0.78/0.91 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.78/0.91 class_HOL_Oord(tc_bool) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 0.78/0.91 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 0.78/0.91 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.78/0.91 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.78/0.91 ( V_X = V_Y
% 0.78/0.91 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.78/0.91
% 0.78/0.91 %------------------------------------------------------------------------------
% 0.78/0.91 %-------------------------------------------
% 0.78/0.91 % Proof found
% 0.78/0.91 % SZS status Theorem for theBenchmark
% 0.78/0.91 % SZS output start Proof
% 0.78/0.91 %ClaNum:707(EqnAxiom:126)
% 0.78/0.91 %VarNum:3203(SingletonVarNum:1483)
% 0.78/0.91 %MaxLitNum:7
% 0.78/0.91 %MaxfuncDepth:9
% 0.78/0.91 %SharedTerms:81
% 0.78/0.91 %goalClause: 127 128 162 164 205 307 349 350 365 706
% 0.78/0.91 %singleGoalClaCount:9
% 0.78/0.91 [127]E(a1,a2)
% 0.78/0.91 [128]E(a51,a52)
% 0.78/0.91 [129]P1(a24)
% 0.78/0.91 [130]P1(a25)
% 0.78/0.91 [131]P9(a24)
% 0.78/0.91 [132]P9(a25)
% 0.78/0.91 [133]P2(a25)
% 0.78/0.91 [134]P10(a24)
% 0.78/0.91 [135]P10(a25)
% 0.78/0.91 [136]P11(a24)
% 0.78/0.91 [137]P11(a25)
% 0.78/0.91 [138]P13(a24)
% 0.78/0.91 [139]P13(a25)
% 0.78/0.91 [140]P12(a24)
% 0.78/0.91 [141]P3(a24)
% 0.78/0.91 [142]P3(a25)
% 0.78/0.91 [161]P7(a2,a5,a47)
% 0.78/0.91 [309]~E(a23,a2)
% 0.78/0.91 [348]~P7(a23,a5,a47)
% 0.78/0.91 [349]~P7(a1,a5,a47)
% 0.78/0.91 [350]~P7(a51,a5,a47)
% 0.78/0.91 [143]P4(f3(a26))
% 0.78/0.91 [164]P7(a56,a41,f48(a26))
% 0.78/0.91 [166]P7(f3(a26),a41,f48(a26))
% 0.78/0.91 [365]~P7(f35(a53),f28(f4(a2,a56)),a49)
% 0.78/0.91 [162]E(f32(a53,f31(f30(a54),f30(a54))),a55)
% 0.78/0.91 [178]E(f28(f40(f50(a49,a25))),f40(f50(a49,a25)))
% 0.78/0.91 [179]E(f29(f40(f50(a49,a25))),f40(f50(a49,a25)))
% 0.78/0.91 [205]P7(a55,f38(f28(f4(a2,a56))),a49)
% 0.78/0.91 [307]P7(a55,f29(f4(a2,f19(f6(a42,f7(f44(a26),f10(a2,a52,a55),a26,a26,a25),a25,a25,a26),f11(f16(a56,a26),f15(f10(a2,a52,a55),f3(a26),a26),a26),a26))),a49)
% 0.78/0.91 [151]P5(f3(x1511),x1511)
% 0.78/0.91 [165]P7(f37(x1651),a39,a24)
% 0.78/0.91 [185]P8(x1851,f28(x1851),f50(a49,a25))
% 0.78/0.91 [186]P8(x1861,f29(x1861),f50(a49,a25))
% 0.78/0.91 [187]P8(x1871,f38(x1871),f50(a49,a25))
% 0.78/0.91 [188]P8(f28(x1881),f29(x1881),f50(a49,a25))
% 0.78/0.91 [144]E(f27(f27(x1441)),x1441)
% 0.78/0.91 [145]E(f28(f28(x1451)),f28(x1451))
% 0.78/0.91 [146]E(f28(f29(x1461)),f29(x1461))
% 0.78/0.91 [147]E(f27(f37(x1471)),f37(x1471))
% 0.78/0.91 [148]E(f29(f28(x1481)),f29(x1481))
% 0.78/0.91 [149]E(f29(f29(x1491)),f29(x1491))
% 0.78/0.91 [150]E(f38(f38(x1501)),f38(x1501))
% 0.78/0.91 [153]E(f17(f3(x1531),x1531),f3(x1531))
% 0.78/0.91 [154]E(f16(f3(x1541),x1541),f3(x1541))
% 0.78/0.91 [158]E(f18(f3(x1581),x1581),f40(f50(x1581,a25)))
% 0.78/0.91 [159]E(f40(f50(x1591,a25)),f18(f3(x1591),x1591))
% 0.78/0.91 [160]E(f4(a2,f16(x1601,a26)),f4(a2,x1601))
% 0.78/0.91 [189]P8(f12(f3(a26)),f12(x1891),f50(a49,a25))
% 0.78/0.91 [190]E(f13(f28(x1901),f38(x1901),f50(a49,a25)),f28(f38(x1901)))
% 0.78/0.91 [191]E(f13(f29(x1911),f38(x1911),f50(a49,a25)),f29(f38(x1911)))
% 0.78/0.91 [203]P8(f29(f4(a2,x2031)),f12(x2031),f50(a49,a25))
% 0.78/0.91 [360]~P7(f30(x3601),f12(f3(a26)),a49)
% 0.78/0.91 [240]P8(f29(f4(a2,f16(x2401,a26))),f29(f4(a2,x2401)),f50(a49,a25))
% 0.78/0.91 [371]~P7(x3711,f29(f40(f50(a49,a25))),a49)
% 0.78/0.91 [175]P7(f33(x1751),f38(x1752),a49)
% 0.78/0.91 [181]P8(x1811,x1811,f50(x1812,a25))
% 0.78/0.91 [311]~E(f35(x3111),f36(x3112))
% 0.78/0.91 [314]~E(f30(x3141),f36(x3142))
% 0.78/0.91 [315]~E(f30(x3151),f35(x3152))
% 0.78/0.91 [319]~E(f33(x3191),f36(x3192))
% 0.78/0.91 [320]~E(f33(x3201),f35(x3202))
% 0.78/0.91 [321]~E(f33(x3211),f30(x3212))
% 0.78/0.91 [361]~P7(f43(x3611,x3612),a39,a24)
% 0.78/0.91 [157]E(f16(f16(x1571,x1572),x1572),x1571)
% 0.78/0.91 [163]E(f18(f16(x1631,x1632),x1632),f18(x1631,x1632))
% 0.78/0.91 [170]E(f11(x1701,f3(x1702),x1702),x1701)
% 0.78/0.91 [171]E(f11(f3(x1711),x1712,x1711),x1712)
% 0.78/0.91 [172]E(f14(x1721,f3(x1722),x1722),f3(x1722))
% 0.78/0.91 [173]E(f19(x1731,f3(x1732),x1732),f3(x1732))
% 0.78/0.91 [183]P7(f35(f37(x1831)),f12(x1832),a49)
% 0.78/0.91 [184]E(f13(x1841,x1841,f50(x1842,a25)),x1841)
% 0.78/0.91 [192]P7(f35(f37(x1921)),f4(x1921,x1922),a49)
% 0.78/0.91 [200]P8(f40(f50(x2001,a25)),x2002,f50(x2001,a25))
% 0.78/0.91 [201]E(f13(x2011,f40(f50(x2012,a25)),f50(x2012,a25)),x2011)
% 0.78/0.91 [202]E(f13(f40(f50(x2021,a25)),x2022,f50(x2021,a25)),x2022)
% 0.78/0.91 [253]P8(f4(a2,f19(x2531,x2532,a26)),f4(a2,x2532),f50(a49,a25))
% 0.78/0.91 [262]P8(f45(x2621,f28(x2622),a49),f28(f45(x2621,x2622,a49)),f50(a49,a25))
% 0.78/0.91 [263]P8(f45(x2631,f29(x2632),a49),f29(f45(x2631,x2632,a49)),f50(a49,a25))
% 0.78/0.91 [264]P8(f45(x2641,f38(x2642),a49),f38(f45(x2641,x2642,a49)),f50(a49,a25))
% 0.78/0.91 [289]E(f13(f29(f45(x2891,f40(f50(a49,a25)),a49)),f29(x2892),f50(a49,a25)),f29(f45(x2891,x2892,a49)))
% 0.78/0.91 [364]~P7(f32(x3641,x3642),f12(f3(a26)),a49)
% 0.78/0.91 [368]~P7(x3681,f40(f50(x3682,a25)),x3682)
% 0.78/0.91 [369]~P7(f27(f43(x3691,x3692)),a39,a24)
% 0.78/0.91 [193]P14(f46(f46(f44(x1931),x1932),x1932))
% 0.78/0.91 [196]E(f34(f45(f36(x1961),x1962,a49)),f34(x1962))
% 0.78/0.91 [197]E(f34(f45(f35(x1971),x1972,a49)),f34(x1972))
% 0.78/0.91 [198]E(f34(f45(f30(x1981),x1982,a49)),f34(x1982))
% 0.78/0.91 [199]E(f34(f45(f33(x1991),x1992,a49)),f34(x1992))
% 0.78/0.91 [217]E(f28(f45(f36(x2171),x2172,a49)),f45(f36(x2171),f28(x2172),a49))
% 0.78/0.91 [218]E(f28(f45(f30(x2181),x2182,a49)),f45(f30(x2181),f28(x2182),a49))
% 0.78/0.91 [219]E(f28(f45(f33(x2191),x2192,a49)),f45(f33(x2191),f28(x2192),a49))
% 0.78/0.91 [220]E(f29(f45(f36(x2201),x2202,a49)),f45(f36(x2201),f29(x2202),a49))
% 0.78/0.91 [221]E(f29(f45(f35(x2211),x2212,a49)),f45(f35(x2211),f29(x2212),a49))
% 0.78/0.91 [222]E(f29(f45(f30(x2221),x2222,a49)),f45(f30(x2221),f29(x2222),a49))
% 0.78/0.91 [223]E(f29(f45(f33(x2231),x2232,a49)),f45(f33(x2231),f29(x2232),a49))
% 0.78/0.91 [225]E(f16(f15(x2251,f3(x2252),x2252),x2252),f15(x2251,f3(x2252),x2252))
% 0.78/0.91 [234]E(f13(f29(x2341),f29(x2342),f50(a49,a25)),f29(f13(x2341,x2342,f50(a49,a25))))
% 0.78/0.91 [242]E(f28(f13(f28(x2421),x2422,f50(a49,a25))),f28(f13(x2421,x2422,f50(a49,a25))))
% 0.78/0.91 [284]E(f13(f28(f13(x2841,x2842,f50(a49,a25))),f38(x2841),f50(a49,a25)),f28(f13(f38(x2841),x2842,f50(a49,a25))))
% 0.78/0.91 [285]P8(f29(f13(x2851,x2852,f50(a49,a25))),f13(f29(x2851),f29(x2852),f50(a49,a25)),f50(a49,a25))
% 0.78/0.91 [286]P8(f13(f28(x2861),f28(x2862),f50(a49,a25)),f28(f13(x2861,x2862,f50(a49,a25))),f50(a49,a25))
% 0.78/0.91 [287]P8(f13(f29(x2871),f29(x2872),f50(a49,a25)),f29(f13(x2871,x2872,f50(a49,a25))),f50(a49,a25))
% 0.78/0.91 [288]P8(f13(f38(x2881),f38(x2882),f50(a49,a25)),f38(f13(x2881,x2882,f50(a49,a25))),f50(a49,a25))
% 0.78/0.91 [290]P8(f29(f4(a2,f19(x2901,x2902,a26))),f29(f4(a2,x2902)),f50(a49,a25))
% 0.78/0.91 [370]~P14(f46(f40(f50(x3701,a25)),x3702))
% 0.78/0.91 [209]P7(x2091,f45(x2091,x2092,x2093),x2093)
% 0.78/0.91 [216]P8(x2161,f45(x2162,x2161,x2163),f50(x2163,a25))
% 0.78/0.91 [322]~E(f36(x3221),f32(x3222,x3223))
% 0.78/0.91 [323]~E(f36(x3231),f31(x3232,x3233))
% 0.78/0.91 [324]~E(f35(x3241),f32(x3242,x3243))
% 0.78/0.91 [325]~E(f35(x3251),f31(x3252,x3253))
% 0.78/0.91 [326]~E(f30(x3261),f32(x3262,x3263))
% 0.78/0.91 [327]~E(f30(x3271),f31(x3272,x3273))
% 0.78/0.91 [328]~E(f33(x3281),f32(x3282,x3283))
% 0.78/0.91 [329]~E(f33(x3291),f31(x3292,x3293))
% 0.78/0.91 [330]~E(f37(x3301),f43(x3302,x3303))
% 0.78/0.91 [331]~E(f32(x3311,x3312),f36(x3313))
% 0.78/0.91 [332]~E(f32(x3321,x3322),f35(x3323))
% 0.78/0.91 [333]~E(f32(x3331,x3332),f30(x3333))
% 0.78/0.91 [334]~E(f32(x3341,x3342),f33(x3343))
% 0.78/0.91 [335]~E(f31(x3351,x3352),f36(x3353))
% 0.78/0.91 [336]~E(f31(x3361,x3362),f35(x3363))
% 0.78/0.91 [337]~E(f31(x3371,x3372),f30(x3373))
% 0.78/0.91 [338]~E(f31(x3381,x3382),f33(x3383))
% 0.78/0.91 [339]~E(f43(x3391,x3392),f37(x3393))
% 0.78/0.91 [352]~E(f15(x3521,x3522,x3523),x3522)
% 0.78/0.91 [355]~E(f15(x3551,x3552,x3553),f3(x3553))
% 0.78/0.91 [194]P7(f35(f43(x1941,x1942)),f12(x1943),a49)
% 0.78/0.91 [195]E(f17(f15(x1951,x1952,x1953),x1953),x1952)
% 0.78/0.91 [204]P7(f35(f43(x2041,x2042)),f4(a2,x2043),a49)
% 0.78/0.91 [206]E(f13(x2061,x2062,f50(x2063,a25)),f13(x2062,x2061,f50(x2063,a25)))
% 0.78/0.91 [210]P7(f35(f43(x2101,x2102)),f28(f4(a2,x2103)),a49)
% 0.78/0.91 [226]E(f45(x2261,f18(x2262,x2263),x2263),f18(f15(x2261,x2262,x2263),x2263))
% 0.78/0.91 [228]E(f45(x2281,f45(x2281,x2282,x2283),x2283),f45(x2281,x2282,x2283))
% 0.78/0.91 [231]E(f11(f16(x2311,x2312),f16(x2313,x2312),x2312),f16(f11(x2313,x2311,x2312),x2312))
% 0.78/0.91 [232]P8(x2321,f13(x2322,x2321,f50(x2323,a25)),f50(x2323,a25))
% 0.78/0.91 [233]P8(x2331,f13(x2331,x2332,f50(x2333,a25)),f50(x2333,a25))
% 0.78/0.91 [235]P14(f46(f45(x2351,x2352,x2353),x2351))
% 0.78/0.91 [237]E(f13(f18(x2371,x2372),f18(x2373,x2372),f50(x2372,a25)),f18(f11(x2371,x2373,x2372),x2372))
% 0.78/0.91 [239]E(f11(f19(x2391,x2392,x2393),f14(x2391,x2392,x2393),x2393),x2392)
% 0.78/0.91 [241]E(f13(x2411,f13(x2411,x2412,f50(x2413,a25)),f50(x2413,a25)),f13(x2411,x2412,f50(x2413,a25)))
% 0.78/0.91 [254]P8(f4(x2541,x2542),f4(x2541,f15(x2543,x2542,a26)),f50(a49,a25))
% 0.78/0.91 [255]E(f13(f45(x2551,f40(f50(x2552,a25)),x2552),x2553,f50(x2552,a25)),f45(x2551,x2553,x2552))
% 0.78/0.91 [256]P8(f18(x2561,x2562),f18(f15(x2563,x2561,x2562),x2562),f50(x2562,a25))
% 0.78/0.91 [344]~E(f37(x3441),f27(f43(x3442,x3443)))
% 0.78/0.91 [345]~E(f27(f43(x3451,x3452)),f37(x3453))
% 0.78/0.91 [362]~E(f45(x3621,x3622,x3623),f40(f50(x3623,a25)))
% 0.78/0.91 [363]~E(f40(f50(x3631,a25)),f45(x3632,x3633,x3631))
% 0.78/0.91 [211]E(f34(f45(f31(x2111,x2112),x2113,a49)),f34(x2113))
% 0.78/0.91 [212]E(f12(f15(f8(x2121,x2122),x2123,a26)),f12(x2123))
% 0.78/0.91 [213]E(f4(a2,f15(f8(x2131,x2132),x2133,a26)),f4(a2,x2133))
% 0.78/0.91 [214]P7(f35(f27(f43(x2141,x2142))),f12(x2143),a49)
% 0.78/0.91 [236]E(f4(x2361,f15(f9(x2361,x2362),x2363,a26)),f45(x2362,f4(x2361,x2363),a49))
% 0.78/0.91 [243]E(f11(f16(x2431,x2432),f15(x2433,f3(x2432),x2432),x2432),f16(f15(x2433,x2431,x2432),x2432))
% 0.78/0.91 [277]E(f45(f32(x2771,x2772),f29(f45(x2772,x2773,a49)),a49),f29(f45(f32(x2771,x2772),x2773,a49)))
% 0.78/0.91 [291]E(f12(f15(f9(x2911,x2912),x2913,a26)),f13(f29(f45(x2912,f40(f50(a49,a25)),a49)),f12(x2913),f50(a49,a25)))
% 0.78/0.91 [301]P8(f28(f45(f32(x3011,x3012),x3013,a49)),f45(f32(x3011,x3012),f28(f45(x3012,x3013,a49)),a49),f50(a49,a25))
% 0.78/0.91 [302]E(f13(f13(f29(f45(x3021,f40(f50(a49,a25)),a49)),f29(f45(x3022,f40(f50(a49,a25)),a49)),f50(a49,a25)),f29(x3023),f50(a49,a25)),f29(f45(x3021,f45(x3022,x3023,a49),a49)))
% 0.78/0.91 [276]E(f4(a2,f11(x2761,f15(f8(x2762,x2763),f3(a26),a26),a26)),f4(a2,x2761))
% 0.78/0.91 [281]E(f16(f11(f16(x2811,x2812),f15(x2813,f3(x2812),x2812),x2812),x2812),f15(x2813,x2811,x2812))
% 0.78/0.91 [299]E(f45(f31(x2991,x2992),f28(f45(x2991,f45(x2992,x2993,a49),a49)),a49),f28(f45(f31(x2991,x2992),x2993,a49)))
% 0.78/0.91 [300]E(f45(f31(x3001,x3002),f29(f45(x3001,f45(x3002,x3003,a49),a49)),a49),f29(f45(f31(x3001,x3002),x3003,a49)))
% 0.78/0.91 [341]~E(f31(x3411,x3412),f32(x3413,x3414))
% 0.78/0.91 [343]~E(f8(x3431,x3432),f9(x3433,x3434))
% 0.78/0.91 [244]E(f45(x2441,f45(x2442,x2443,x2444),x2444),f45(x2442,f45(x2441,x2443,x2444),x2444))
% 0.78/0.91 [250]E(f15(x2501,f11(x2502,x2503,x2504),x2504),f11(f15(x2501,x2502,x2504),x2503,x2504))
% 0.78/0.91 [252]E(f11(f11(x2521,x2522,x2523),x2524,x2523),f11(x2521,f11(x2522,x2524,x2523),x2523))
% 0.78/0.91 [278]E(f13(x2781,f13(x2782,x2783,f50(x2784,a25)),f50(x2784,a25)),f13(x2782,f13(x2781,x2783,f50(x2784,a25)),f50(x2784,a25)))
% 0.78/0.91 [280]E(f13(f13(x2801,x2802,f50(x2803,a25)),x2804,f50(x2803,a25)),f13(x2801,f13(x2802,x2804,f50(x2803,a25)),f50(x2803,a25)))
% 0.78/0.91 [346]~E(f43(x3461,x3462),f27(f43(x3463,x3464)))
% 0.78/0.91 [347]~E(f27(f43(x3471,x3472)),f43(x3473,x3474))
% 0.78/0.91 [260]E(f45(x2601,f13(x2602,x2603,f50(x2604,a25)),x2604),f13(x2602,f45(x2601,x2603,x2604),f50(x2604,a25)))
% 0.78/0.91 [261]E(f45(x2611,f13(x2612,x2613,f50(x2614,a25)),x2614),f13(f45(x2611,x2612,x2614),x2613,f50(x2614,a25)))
% 0.78/0.91 [265]E(f4(a2,f15(f10(x2651,x2652,x2653),x2654,a26)),f45(x2653,f4(a2,x2654),a49))
% 0.78/0.91 [271]E(f4(x2711,f15(f10(x2711,x2712,x2713),x2714,a26)),f45(x2713,f4(x2711,x2714),a49))
% 0.78/0.91 [294]P7(x2941,f18(f11(x2942,f15(x2941,x2943,x2944),x2944),x2944),x2944)
% 0.78/0.91 [297]E(f12(f15(f10(x2971,x2972,x2973),x2974,a26)),f13(f29(f45(x2973,f40(f50(a49,a25)),a49)),f12(x2974),f50(a49,a25)))
% 0.78/0.91 [298]E(f4(a2,f11(x2981,f15(f10(x2982,x2983,x2984),f3(a26),a26),a26)),f45(x2984,f4(a2,x2981),a49))
% 0.78/0.91 [356]~E(f9(x3561,x3562),f10(x3563,x3564,x3565))
% 0.78/0.91 [357]~E(f8(x3571,x3572),f10(x3573,x3574,x3575))
% 0.78/0.91 [358]~E(f10(x3581,x3582,x3583),f9(x3584,x3585))
% 0.78/0.91 [359]~E(f10(x3591,x3592,x3593),f8(x3594,x3595))
% 0.78/0.91 [304]E(f46(f6(x3041,x3042,x3043,x3044,x3045),x3046),f46(x3041,f46(x3042,x3046)))
% 0.78/0.91 [306]E(f46(f7(x3061,x3062,x3063,x3064,x3065),x3066),f46(f46(x3061,x3066),x3062))
% 0.78/0.91 [706]~P7(f32(a53,f31(f30(a54),f30(a54))),f29(f4(a2,f19(f6(a42,f7(f44(a26),f10(a1,a51,f32(a53,f31(f30(a54),f30(a54)))),a26,a26,a25),a25,a25,a26),f16(a56,a26),a26))),a49)+~P7(f10(a1,a51,f32(a53,f31(f30(a54),f30(a54)))),f18(a56,a26),a26)
% 0.78/0.91 [408]E(f27(x4081),x4081)+~P7(x4081,a39,a24)
% 0.78/0.91 [424]~P7(x4241,a39,a24)+P7(f27(x4241),a39,a24)
% 0.78/0.92 [426]P7(x4261,a39,a24)+~P7(f27(x4261),a39,a24)
% 0.78/0.92 [398]~P10(x3982)+P8(x3981,x3981,x3982)
% 0.78/0.92 [399]~P13(x3992)+P8(x3991,x3991,x3992)
% 0.78/0.92 [372]E(x3721,x3722)+~E(f36(x3721),f36(x3722))
% 0.78/0.92 [373]E(x3731,x3732)+~E(f35(x3731),f35(x3732))
% 0.78/0.92 [374]E(x3741,x3742)+~E(f30(x3741),f30(x3742))
% 0.78/0.92 [375]E(x3751,x3752)+~E(f33(x3751),f33(x3752))
% 0.78/0.92 [376]E(x3761,x3762)+~E(f27(x3761),f27(x3762))
% 0.78/0.92 [377]E(x3771,x3772)+~E(f37(x3771),f37(x3772))
% 0.78/0.92 [379]~E(f16(x3791,x3792),f3(x3792))+E(x3791,f3(x3792))
% 0.78/0.92 [380]~P1(x3802)+P1(f50(x3801,x3802))
% 0.78/0.92 [381]~P1(x3812)+P9(f50(x3811,x3812))
% 0.78/0.92 [382]~P2(x3822)+P2(f50(x3821,x3822))
% 0.78/0.92 [383]~P10(x3832)+P10(f50(x3831,x3832))
% 0.78/0.92 [384]~P11(x3842)+P11(f50(x3841,x3842))
% 0.78/0.92 [385]~P13(x3852)+P13(f50(x3851,x3852))
% 0.78/0.92 [386]~P3(x3862)+P3(f50(x3861,x3862))
% 0.78/0.92 [400]~P9(x4002)+E(f13(x4001,x4001,x4002),x4001)
% 0.78/0.92 [401]~P5(x4011,x4012)+P5(f16(x4011,x4012),x4012)
% 0.78/0.92 [402]~P11(x4021)+P8(f40(x4021),x4022,x4021)
% 0.78/0.92 [407]P5(x4071,x4072)+~P5(f16(x4071,x4072),x4072)
% 0.78/0.92 [427]~P7(x4271,x4272,a49)+P7(x4271,f28(x4272),a49)
% 0.78/0.92 [428]~P7(x4281,x4282,a49)+P7(x4281,f29(x4282),a49)
% 0.78/0.92 [429]~P7(x4291,x4292,a49)+P7(x4291,f38(x4292),a49)
% 0.78/0.92 [437]~P7(x4371,f28(x4372),a49)+P7(x4371,f29(x4372),a49)
% 0.78/0.92 [438]P7(f36(x4381),f38(x4382),a49)+~P7(x4381,f38(x4382),a49)
% 0.78/0.92 [441]~P7(f35(x4411),f38(x4412),a49)+P7(f35(x4411),x4412,a49)
% 0.78/0.92 [443]~P7(f30(x4431),f38(x4432),a49)+P7(f30(x4431),x4432,a49)
% 0.78/0.92 [483]~P8(x4831,x4832,f50(a49,a25))+P8(f28(x4831),f28(x4832),f50(a49,a25))
% 0.78/0.92 [484]~P8(x4841,x4842,f50(a49,a25))+P8(f29(x4841),f29(x4842),f50(a49,a25))
% 0.78/0.92 [485]~P8(x4851,x4852,f50(a49,a25))+P8(f38(x4851),f38(x4852),f50(a49,a25))
% 0.78/0.92 [492]P8(f28(x4921),f28(x4922),f50(a49,a25))+~P8(x4921,f28(x4922),f50(a49,a25))
% 0.78/0.92 [493]P8(f29(x4931),f29(x4932),f50(a49,a25))+~P8(x4931,f29(x4932),f50(a49,a25))
% 0.78/0.92 [494]P8(f38(x4941),f38(x4942),f50(a49,a25))+~P8(x4941,f38(x4942),f50(a49,a25))
% 0.78/0.92 [496]P8(x4961,f28(x4962),f50(a49,a25))+~P8(f28(x4961),f28(x4962),f50(a49,a25))
% 0.78/0.92 [497]P8(x4971,f29(x4972),f50(a49,a25))+~P8(f29(x4971),f29(x4972),f50(a49,a25))
% 0.78/0.92 [498]P8(x4981,f38(x4982),f50(a49,a25))+~P8(f38(x4981),f38(x4982),f50(a49,a25))
% 0.78/0.92 [403]~P2(x4032)+E(f13(x4031,f40(x4032),x4032),x4031)
% 0.78/0.92 [404]~P2(x4041)+E(f13(f40(x4041),x4042,x4041),x4042)
% 0.78/0.92 [405]E(x4051,f3(x4052))+~E(f18(x4051,x4052),f40(f50(x4052,a25)))
% 0.78/0.92 [406]E(x4061,f3(x4062))+~E(f40(f50(x4062,a25)),f18(x4061,x4062))
% 0.78/0.92 [449]P7(x4491,f28(x4492),a49)+~P7(x4491,f28(f28(x4492)),a49)
% 0.78/0.92 [450]P7(x4501,f29(x4502),a49)+~P7(x4501,f29(f29(x4502)),a49)
% 0.78/0.92 [451]P7(x4511,f38(x4512),a49)+~P7(x4511,f38(f38(x4512)),a49)
% 0.78/0.92 [459]~P7(x4591,a5,a47)+P7(f35(f37(x4591)),f4(a2,x4592),a49)
% 0.78/0.92 [489]~P7(x4891,f28(x4892),a49)+E(f28(f45(x4891,x4892,a49)),f28(x4892))
% 0.78/0.92 [490]~P7(x4901,f29(x4902),a49)+E(f29(f45(x4901,x4902,a49)),f29(x4902))
% 0.78/0.92 [504]P7(x5041,f12(x5042),a49)+~P7(x5041,f29(f4(a2,x5042)),a49)
% 0.78/0.92 [508]~P8(x5081,x5082,f50(a49,a25))+P8(f38(f28(x5081)),f38(f28(x5082)),f50(a49,a25))
% 0.78/0.92 [510]~P8(x5101,f40(f50(x5102,a25)),f50(x5102,a25))+E(x5101,f40(f50(x5102,a25)))
% 0.78/0.92 [633]P8(f29(f45(x6331,x6332,a49)),f13(f38(f28(x6332)),f29(x6332),f50(a49,a25)),f50(a49,a25))+~P7(x6331,f38(f28(x6332)),a49)
% 0.78/0.92 [527]P7(x5271,f34(f28(x5272)),a24)+E(f28(f45(f35(x5271),x5272,a49)),f45(f35(x5271),f28(x5272),a49))
% 0.78/0.92 [576]~P7(x5761,f38(f28(x5762)),a49)+E(f38(f28(f45(x5761,x5762,a49))),f38(f28(x5762)))
% 0.78/0.92 [626]~P7(x6261,f12(x6262),a49)+P8(f29(f45(x6261,f40(f50(a49,a25)),a49)),f12(x6262),f50(a49,a25))
% 0.78/0.92 [641]~P7(x6411,f38(f28(x6412)),a49)+P8(f29(f45(x6411,f40(f50(a49,a25)),a49)),f13(f38(f28(x6412)),f29(x6412),f50(a49,a25)),f50(a49,a25))
% 0.78/0.92 [397]E(x3971,x3972)+~E(f16(x3971,x3973),f16(x3972,x3973))
% 0.78/0.92 [411]~E(f11(x4113,x4111,x4112),x4113)+E(x4111,f3(x4112))
% 0.78/0.92 [412]~E(f11(x4121,x4123,x4122),x4123)+E(x4121,f3(x4122))
% 0.78/0.92 [415]~E(f11(x4153,x4151,x4152),f3(x4152))+E(x4151,f3(x4152))
% 0.78/0.92 [416]~E(f11(x4161,x4163,x4162),f3(x4162))+E(x4161,f3(x4162))
% 0.78/0.92 [417]P7(x4171,x4172,x4173)+~P14(f46(x4172,x4171))
% 0.78/0.92 [420]~P1(x4203)+E(f13(x4201,x4202,x4203),f13(x4202,x4201,x4203))
% 0.78/0.92 [421]~P9(x4213)+E(f13(x4211,x4212,x4213),f13(x4212,x4211,x4213))
% 0.78/0.92 [422]~P7(x4222,x4221,x4223)+P14(f46(x4221,x4222))
% 0.78/0.92 [425]~P7(x4251,x4252,x4253)+E(f45(x4251,x4252,x4253),x4252)
% 0.78/0.92 [430]~P5(x4302,x4303)+P5(f14(x4301,x4302,x4303),x4303)
% 0.78/0.92 [431]~P5(x4312,x4313)+P5(f19(x4311,x4312,x4313),x4313)
% 0.78/0.92 [444]~P1(x4443)+P8(x4441,f13(x4442,x4441,x4443),x4443)
% 0.78/0.92 [445]~P9(x4453)+P8(x4451,f13(x4452,x4451,x4453),x4453)
% 0.78/0.92 [446]~P1(x4463)+P8(x4461,f13(x4461,x4462,x4463),x4463)
% 0.78/0.92 [447]~P9(x4473)+P8(x4471,f13(x4471,x4472,x4473),x4473)
% 0.78/0.92 [466]P7(f27(x4661),f34(x4662),a24)+~P7(f32(x4661,x4663),x4662,a49)
% 0.78/0.92 [469]P7(x4691,f28(x4692),a49)+~P7(f31(x4693,x4691),f28(x4692),a49)
% 0.78/0.92 [470]P7(x4701,f28(x4702),a49)+~P7(f31(x4701,x4703),f28(x4702),a49)
% 0.78/0.92 [471]P7(x4711,f29(x4712),a49)+~P7(f32(x4713,x4711),f29(x4712),a49)
% 0.78/0.92 [472]P7(x4721,f29(x4722),a49)+~P7(f31(x4723,x4721),f29(x4722),a49)
% 0.78/0.92 [473]P7(x4731,f29(x4732),a49)+~P7(f31(x4731,x4733),f29(x4732),a49)
% 0.78/0.92 [474]P7(x4741,f12(x4742),a49)+~P7(f31(x4743,x4741),f12(x4742),a49)
% 0.78/0.92 [475]P7(x4751,f12(x4752),a49)+~P7(f31(x4751,x4753),f12(x4752),a49)
% 0.78/0.92 [486]P5(x4861,x4862)+~P5(f15(x4863,x4861,x4862),x4862)
% 0.78/0.92 [487]P5(x4871,x4872)+~P5(f11(x4873,x4871,x4872),x4872)
% 0.78/0.92 [488]P5(x4881,x4882)+~P5(f11(x4881,x4883,x4882),x4882)
% 0.78/0.92 [500]P7(x5001,f12(x5002),a49)+~P7(f9(x5003,x5001),f18(x5002,a26),a26)
% 0.78/0.92 [514]P7(x5141,f4(x5142,x5143),a49)+~P7(f9(x5142,x5141),f18(x5143,a26),a26)
% 0.78/0.92 [560]~P7(x5601,f18(x5602,x5603),x5603)+~P5(f15(x5601,x5602,x5603),x5603)
% 0.78/0.92 [460]~E(f16(x4601,x4603),f15(x4602,f3(x4603),x4603))+E(x4601,f15(x4602,f3(x4603),x4603))
% 0.78/0.92 [461]~E(f15(x4612,f3(x4613),x4613),f16(x4611,x4613))+E(x4611,f15(x4612,f3(x4613),x4613))
% 0.78/0.92 [467]E(x4671,f40(f50(x4672,a25)))+~E(f13(x4673,x4671,f50(x4672,a25)),f40(f50(x4672,a25)))
% 0.78/0.92 [468]E(x4681,f40(f50(x4682,a25)))+~E(f13(x4681,x4683,f50(x4682,a25)),f40(f50(x4682,a25)))
% 0.78/0.92 [480]~P8(x4801,x4802,f50(x4803,a25))+E(f13(x4801,x4802,f50(x4803,a25)),x4802)
% 0.78/0.92 [481]~P8(x4812,x4811,f50(x4813,a25))+E(f13(x4811,x4812,f50(x4813,a25)),x4811)
% 0.78/0.92 [482]P8(x4821,x4822,f50(x4823,a25))+~E(f13(x4821,x4822,f50(x4823,a25)),x4822)
% 0.78/0.92 [491]E(x4911,f3(x4912))+E(f11(f17(x4911,x4912),x4913,x4912),f17(f11(x4911,x4913,x4912),x4912))
% 0.78/0.92 [502]~P1(x5023)+E(f13(x5021,f13(x5021,x5022,x5023),x5023),f13(x5021,x5022,x5023))
% 0.78/0.92 [503]~P9(x5033)+E(f13(x5031,f13(x5031,x5032,x5033),x5033),f13(x5031,x5032,x5033))
% 0.78/0.92 [506]P7(x5061,f38(f28(x5062)),a49)+~P7(f31(x5063,x5061),f38(f28(x5062)),a49)
% 0.78/0.92 [507]P7(x5071,f38(f28(x5072)),a49)+~P7(f31(x5071,x5073),f38(f28(x5072)),a49)
% 0.78/0.92 [509]~E(f28(x5092),f28(x5093))+E(f28(f45(x5091,x5092,a49)),f28(f45(x5091,x5093,a49)))
% 0.78/0.92 [582]~P7(x5821,f28(x5823),a49)+P7(x5821,f28(f45(x5822,x5823,a49)),a49)
% 0.78/0.92 [583]~P7(x5831,f29(x5833),a49)+P7(x5831,f29(f45(x5832,x5833,a49)),a49)
% 0.78/0.92 [620]~P7(x6201,x6203,a49)+P8(f29(f45(x6201,x6202,a49)),f13(f29(x6203),f29(x6202),f50(a49,a25)),f50(a49,a25))
% 0.78/0.92 [659]P8(f28(f45(x6591,x6592,a49)),f13(f38(f28(x6593)),f28(f13(x6593,x6592,f50(a49,a25))),f50(a49,a25)),f50(a49,a25))+~P7(x6591,f38(f28(x6593)),a49)
% 0.78/0.92 [448]E(x4481,x4482)+~P14(f46(f46(f44(x4483),x4481),x4482))
% 0.78/0.92 [511]P7(x5111,a5,a47)+E(f4(a2,f15(f9(x5111,x5112),x5113,a26)),f4(a2,x5113))
% 0.78/0.92 [524]E(x5241,a2)+E(f4(x5241,f15(f8(x5241,x5242),x5243,a26)),f45(x5242,f4(x5241,x5243),a49))
% 0.78/0.92 [542]~P7(x5422,a5,a47)+P7(f35(f27(f43(x5421,x5422))),f4(a2,x5423),a49)
% 0.78/0.92 [563]P7(f35(f27(x5631)),f28(x5633),a49)+E(f28(f45(f32(x5631,x5632),x5633,a49)),f45(f32(x5631,x5632),f28(x5633),a49))
% 0.78/0.92 [566]~P7(x5661,a5,a47)+E(f4(a2,f15(f9(x5661,x5662),x5663,a26)),f45(x5662,f4(a2,x5663),a49))
% 0.78/0.92 [575]E(x5751,x5752)+~E(f45(x5751,f40(f50(x5753,a25)),x5753),f45(x5752,f40(f50(x5753,a25)),x5753))
% 0.78/0.92 [602]E(x6021,x6022)+~P7(x6021,f45(x6022,f40(f50(x6023,a25)),x6023),x6023)
% 0.78/0.92 [610]~P7(x6101,f28(x6103),a49)+P7(x6101,f28(f13(x6102,x6103,f50(a49,a25))),a49)
% 0.78/0.92 [629]~P7(f35(f27(x6291)),f28(x6293),a49)+E(f45(f32(x6291,x6292),f28(f45(x6292,x6293,a49)),a49),f28(f45(f32(x6291,x6292),x6293,a49)))
% 0.78/0.92 [658]~P7(f35(f27(x6581)),f28(x6583),a49)+P8(f45(f32(x6581,x6582),f28(f45(x6582,x6583,a49)),a49),f28(f45(f32(x6581,x6582),x6583,a49)),f50(a49,a25))
% 0.78/0.92 [618]P7(x6182,a5,a47)+E(f4(a2,f11(x6181,f15(f9(x6182,x6183),f3(a26),a26),a26)),f4(a2,x6181))
% 0.78/0.92 [634]~P7(x6342,a5,a47)+E(f4(a2,f11(x6341,f15(f9(x6342,x6343),f3(a26),a26),a26)),f45(x6343,f4(a2,x6341),a49))
% 0.78/0.92 [387]E(x3871,x3872)+~E(f32(x3873,x3871),f32(x3874,x3872))
% 0.78/0.92 [388]E(x3881,x3882)+~E(f31(x3883,x3881),f31(x3884,x3882))
% 0.78/0.92 [389]E(x3891,x3892)+~E(f43(x3893,x3891),f43(x3894,x3892))
% 0.78/0.92 [390]E(x3901,x3902)+~E(f9(x3903,x3901),f9(x3904,x3902))
% 0.78/0.92 [391]E(x3911,x3912)+~E(f8(x3913,x3911),f8(x3914,x3912))
% 0.78/0.92 [392]E(x3921,x3922)+~E(f32(x3921,x3923),f32(x3922,x3924))
% 0.78/0.92 [393]E(x3931,x3932)+~E(f31(x3931,x3933),f31(x3932,x3934))
% 0.78/0.92 [394]E(x3941,x3942)+~E(f43(x3941,x3943),f43(x3942,x3944))
% 0.78/0.92 [395]E(x3951,x3952)+~E(f9(x3951,x3953),f9(x3952,x3954))
% 0.78/0.92 [396]E(x3961,x3962)+~E(f8(x3961,x3963),f8(x3962,x3964))
% 0.78/0.92 [455]E(x4551,x4552)+~E(f11(x4553,x4551,x4554),f11(x4553,x4552,x4554))
% 0.78/0.92 [457]E(x4571,x4572)+~E(f11(x4571,x4573,x4574),f11(x4572,x4573,x4574))
% 0.78/0.92 [522]~P7(x5221,x5223,x5224)+P7(x5221,f45(x5222,x5223,x5224),x5224)
% 0.78/0.92 [552]~P8(x5521,x5523,f50(x5524,a25))+P8(x5521,f45(x5522,x5523,x5524),f50(x5524,a25))
% 0.78/0.92 [580]P7(x5801,x5802,x5803)+~P8(f45(x5801,x5804,x5803),x5802,f50(x5803,a25))
% 0.78/0.92 [581]P7(x5811,f12(x5812),a49)+~P7(f10(x5813,x5814,x5811),f18(x5812,a26),a26)
% 0.78/0.92 [586]P7(x5861,f4(a2,x5862),a49)+~P7(f10(x5863,x5864,x5861),f18(x5862,a26),a26)
% 0.78/0.92 [587]P7(x5871,f4(x5872,x5873),a49)+~P7(f10(x5872,x5874,x5871),f18(x5873,a26),a26)
% 0.78/0.92 [588]~P8(f45(x5884,x5881,x5883),x5882,f50(x5883,a25))+P8(x5881,x5882,f50(x5883,a25))
% 0.78/0.92 [600]~P8(x6002,x6004,f50(x6003,a25))+P8(f45(x6001,x6002,x6003),f45(x6001,x6004,x6003),f50(x6003,a25))
% 0.78/0.92 [476]P14(f46(x4761,x4762))+E(f19(x4761,f15(x4762,x4763,x4764),x4764),f3(x4764))
% 0.78/0.92 [518]P14(f46(x5181,x5182))+E(f14(x5181,f15(x5182,x5183,x5184),x5184),f15(x5182,x5183,x5184))
% 0.78/0.92 [532]~P14(f46(x5321,x5322))+E(f14(x5321,f15(x5322,x5323,x5324),x5324),f14(x5321,x5323,x5324))
% 0.78/0.92 [547]~P14(f46(x5472,x5474))+P14(f46(f45(x5471,x5472,x5473),x5474))
% 0.78/0.92 [548]~P7(x5481,x5483,x5484)+P7(x5481,f13(x5482,x5483,f50(x5484,a25)),x5484)
% 0.78/0.92 [549]~P7(x5491,x5492,x5494)+P7(x5491,f13(x5492,x5493,f50(x5494,a25)),x5494)
% 0.78/0.92 [568]~P1(x5684)+E(f13(x5681,f13(x5682,x5683,x5684),x5684),f13(x5682,f13(x5681,x5683,x5684),x5684))
% 0.78/0.92 [569]~P9(x5694)+E(f13(x5691,f13(x5692,x5693,x5694),x5694),f13(x5692,f13(x5691,x5693,x5694),x5694))
% 0.78/0.92 [570]~P1(x5703)+E(f13(f13(x5701,x5702,x5703),x5704,x5703),f13(x5701,f13(x5702,x5704,x5703),x5703))
% 0.78/0.92 [571]~P9(x5713)+E(f13(f13(x5711,x5712,x5713),x5714,x5713),f13(x5711,f13(x5712,x5714,x5713),x5713))
% 0.78/0.92 [589]~P14(f46(x5891,x5892))+E(f19(x5891,f15(x5892,x5893,x5894),x5894),f15(x5892,f19(x5891,x5893,x5894),x5894))
% 0.78/0.92 [595]~P7(f10(x5953,x5954,x5951),f18(x5952,a26),a26)+P7(x5951,f28(f4(a2,x5952)),a49)
% 0.78/0.92 [596]~P7(f10(x5963,x5964,x5961),f18(x5962,a26),a26)+P7(x5961,f29(f4(a2,x5962)),a49)
% 0.78/0.92 [607]P8(x6071,x6072,f50(x6073,a25))+~P8(f13(x6074,x6071,f50(x6073,a25)),x6072,f50(x6073,a25))
% 0.78/0.92 [608]P8(x6081,x6082,f50(x6083,a25))+~P8(f13(x6081,x6084,f50(x6083,a25)),x6082,f50(x6083,a25))
% 0.78/0.92 [617]~P7(x6172,f18(f19(x6171,x6173,x6174),x6174),x6174)+P14(f46(x6171,x6172))
% 0.78/0.92 [619]P7(f20(x6191,x6192,x6194),f18(x6192,x6194),x6194)+E(f19(x6191,f11(x6192,x6193,x6194),x6194),f11(x6192,f19(x6191,x6193,x6194),x6194))
% 0.78/0.92 [621]P7(x6211,f18(x6212,x6213),x6213)+~P7(x6211,f18(f19(x6214,x6212,x6213),x6213),x6213)
% 0.78/0.92 [638]E(f19(x6381,f11(x6382,x6383,x6384),x6384),f11(x6382,f19(x6381,x6383,x6384),x6384))+~P14(f46(x6381,f20(x6381,x6382,x6384)))
% 0.78/0.92 [664]~P6(x6641,x6642,x6643,x6644)+P7(f10(x6641,x6642,f57(x6641,x6642,x6643,x6644)),f18(x6644,a26),a26)
% 0.78/0.92 [553]~E(f16(x5531,x5533),f15(x5534,x5532,x5533))+E(x5531,f11(f16(x5532,x5533),f15(x5534,f3(x5533),x5533),x5533))
% 0.78/0.92 [592]~P14(f46(x5922,x5924))+P14(f46(f13(x5921,x5922,f50(x5923,a25)),x5924))
% 0.78/0.92 [593]~P14(f46(x5931,x5934))+P14(f46(f13(x5931,x5932,f50(x5933,a25)),x5934))
% 0.78/0.92 [650]~P7(x6501,f28(f4(a2,x6504)),a49)+P7(x6501,f28(f4(a2,f15(f9(x6502,x6503),x6504,a26))),a49)
% 0.78/0.92 [651]~P7(x6511,f28(f4(a2,x6514)),a49)+P7(x6511,f28(f4(a2,f15(f8(x6512,x6513),x6514,a26))),a49)
% 0.78/0.92 [684]~P6(x6842,x6843,x6841,x6844)+P7(x6841,f29(f45(f57(x6842,x6843,x6841,x6844),f40(f50(a49,a25)),a49)),a49)
% 0.78/0.92 [707]~P6(x7071,x7072,x7073,x7074)+~P7(x7073,f29(f4(a2,f19(f6(a42,f7(f44(a26),f10(x7071,x7072,f57(x7071,x7072,x7073,x7074)),a26,a26,a25),a25,a25,a26),f16(x7074,a26),a26))),a49)
% 0.78/0.92 [453]E(x4531,x4532)+~E(f15(x4533,x4531,x4534),f15(x4535,x4532,x4534))
% 0.78/0.92 [456]E(x4561,x4562)+~E(f15(x4561,x4563,x4564),f15(x4562,x4565,x4564))
% 0.78/0.92 [499]~E(f14(x4991,x4992,x4993),f15(x4994,x4995,x4993))+~P14(f46(x4991,x4994))
% 0.78/0.92 [609]~E(f14(x6091,x6092,x6093),f15(x6094,x6095,x6093))+E(f11(f19(x6091,x6092,x6093),f15(x6094,x6095,x6093),x6093),x6092)
% 0.78/0.92 [612]P14(f46(x6121,x6123))+E(f19(x6121,f11(x6122,f15(x6123,x6124,x6125),x6125),x6125),f19(x6121,x6122,x6125))
% 0.78/0.92 [623]E(x6231,x6232)+~E(f11(x6233,f15(x6231,f3(x6234),x6234),x6234),f11(x6235,f15(x6232,f3(x6234),x6234),x6234))
% 0.78/0.92 [624]E(x6241,x6242)+~E(f11(x6241,f15(x6243,f3(x6244),x6244),x6244),f11(x6242,f15(x6245,f3(x6244),x6244),x6244))
% 0.78/0.92 [663]~P7(x6631,f28(f4(a2,x6635)),a49)+P7(x6631,f28(f4(a2,f15(f10(x6632,x6633,x6634),x6635,a26))),a49)
% 0.78/0.92 [452]E(x4521,x4522)+~E(f10(x4523,x4524,x4521),f10(x4525,x4526,x4522))
% 0.78/0.92 [454]E(x4541,x4542)+~E(f10(x4543,x4541,x4544),f10(x4545,x4542,x4546))
% 0.78/0.92 [458]E(x4581,x4582)+~E(f10(x4581,x4583,x4584),f10(x4582,x4585,x4586))
% 0.78/0.92 [667]P7(x6671,f29(f4(a2,x6672)),a49)+~P7(f10(a23,x6673,f32(f37(x6673),f31(x6674,f31(x6675,f31(x6671,x6676))))),f18(x6672,a26),a26)
% 0.78/0.92 [666]P7(x6661,f29(f4(a2,x6662)),a49)+~P7(f10(x6663,x6664,f32(x6665,f31(x6666,f31(x6667,f31(x6668,x6661))))),f18(x6662,a26),a26)
% 0.78/0.92 [501]P7(f36(x5011),x5012,a49)+P7(x5011,f38(x5012),a49)+~P7(f36(x5011),f38(x5012),a49)
% 0.78/0.92 [550]~P7(x5501,a5,a47)+~P7(x5502,a41,f48(a26))+P7(f35(f37(x5501)),f28(f4(a2,x5502)),a49)
% 0.78/0.92 [551]~P7(x5511,a5,a47)+~P7(x5512,a41,f48(a26))+P7(f35(f37(x5511)),f29(f4(a2,x5512)),a49)
% 0.78/0.92 [572]P7(x5721,a5,a47)+~P7(x5722,a41,f48(a26))+~P7(f35(f37(x5721)),f28(f4(a2,x5722)),a49)
% 0.78/0.92 [573]P7(x5731,a5,a47)+~P7(x5732,a41,f48(a26))+~P7(f35(f37(x5731)),f29(f4(a2,x5732)),a49)
% 0.78/0.92 [423]P8(x4232,x4231,x4233)+~P12(x4233)+P8(x4231,x4232,x4233)
% 0.78/0.92 [418]~P2(x4182)+~E(f13(x4183,x4181,x4182),f40(x4182))+E(x4181,f40(x4182))
% 0.78/0.92 [419]~P2(x4192)+~E(f13(x4191,x4193,x4192),f40(x4192))+E(x4191,f40(x4192))
% 0.78/0.92 [432]~P9(x4323)+~P8(x4321,x4322,x4323)+E(f13(x4321,x4322,x4323),x4322)
% 0.78/0.92 [433]~P9(x4333)+~P8(x4332,x4331,x4333)+E(f13(x4331,x4332,x4333),x4331)
% 0.78/0.92 [434]~P9(x4343)+P8(x4341,x4342,x4343)+~E(f13(x4341,x4342,x4343),x4342)
% 0.78/0.92 [505]~P5(x5052,x5053)+P7(x5051,f18(x5052,x5053),x5053)+P5(f15(x5051,x5052,x5053),x5053)
% 0.78/0.92 [516]E(x5161,a2)+P7(x5162,f4(x5161,x5163),a49)+~P7(f8(x5161,x5162),f18(x5163,a26),a26)
% 0.78/0.92 [520]E(x5201,x5202)+~P8(x5201,x5202,f50(x5203,a25))+~P8(x5202,x5201,f50(x5203,a25))
% 0.78/0.92 [533]~P7(x5331,a39,a24)+P7(x5331,f34(x5332),a24)+~P7(f32(x5331,x5333),x5332,a49)
% 0.78/0.92 [535]P7(f31(x5351,x5352),f38(x5353),a49)+~P7(x5352,f38(x5353),a49)+~P7(x5351,f38(x5353),a49)
% 0.78/0.92 [536]~P7(f35(x5361),x5363,a49)+P7(f32(x5361,x5362),f38(x5363),a49)+~P7(x5362,f38(x5363),a49)
% 0.78/0.92 [537]P7(x5371,f38(x5372),a49)+P7(f32(x5373,x5371),x5372,a49)+~P7(f32(x5373,x5371),f38(x5372),a49)
% 0.78/0.92 [538]P7(x5381,f38(x5382),a49)+P7(f31(x5383,x5381),x5382,a49)+~P7(f31(x5383,x5381),f38(x5382),a49)
% 0.78/0.92 [539]P7(x5391,f38(x5392),a49)+P7(f31(x5391,x5393),x5392,a49)+~P7(f31(x5391,x5393),f38(x5392),a49)
% 0.78/0.92 [541]P7(f35(x5411),x5412,a49)+P7(f32(x5411,x5413),x5412,a49)+~P7(f32(x5411,x5413),f38(x5412),a49)
% 0.78/0.92 [543]~P8(x5433,f28(x5432),f50(a49,a25))+P7(x5431,f28(x5432),a49)+~P7(x5431,f28(x5433),a49)
% 0.78/0.92 [544]~P8(x5443,f29(x5442),f50(a49,a25))+P7(x5441,f29(x5442),a49)+~P7(x5441,f29(x5443),a49)
% 0.78/0.92 [545]~P8(x5453,f38(x5452),f50(a49,a25))+P7(x5451,f38(x5452),a49)+~P7(x5451,f38(x5453),a49)
% 0.78/0.92 [561]~P7(x5613,a5,a47)+~P7(f9(x5613,x5611),f18(x5612,a26),a26)+P7(x5611,f4(a2,x5612),a49)
% 0.78/0.92 [555]P7(x5551,f28(x5552),a49)+~P7(f32(x5553,x5551),f28(x5552),a49)+~P7(f35(f27(x5553)),f28(x5552),a49)
% 0.78/0.92 [565]~P8(x5653,x5652,f50(a49,a25))+~P7(x5651,f28(x5653),a49)+E(f28(f45(x5651,x5652,a49)),f28(x5652))
% 0.78/0.92 [574]P7(x5741,f28(x5742),a49)+~P7(f32(f37(x5743),x5741),f28(x5742),a49)+~P7(f35(f37(x5743)),f28(x5742),a49)
% 0.78/0.92 [597]P7(x5971,f38(f28(x5972)),a49)+P7(f36(f31(x5971,x5973)),f28(x5972),a49)+~P7(f36(f31(x5971,x5973)),f38(f28(x5972)),a49)
% 0.78/0.92 [599]~P7(x5993,a5,a47)+~P7(f32(f37(x5993),x5991),f28(f4(a2,x5992)),a49)+P7(x5991,f28(f4(a2,x5992)),a49)
% 0.78/0.92 [627]P7(x6271,f28(x6272),a49)+~P7(x6273,f28(x6272),a49)+~P7(x6271,f28(f45(x6273,x6272,a49)),a49)
% 0.78/0.92 [628]P7(x6281,f38(x6282),a49)+~P7(x6283,f38(x6282),a49)+~P7(x6281,f38(f45(x6283,x6282,a49)),a49)
% 0.78/0.92 [642]P7(x6421,f13(f38(f28(x6422)),f29(x6422),f50(a49,a25)),a49)+~P7(x6423,f38(f28(x6422)),a49)+~P7(x6421,f29(f45(x6423,x6422,a49)),a49)
% 0.78/0.92 [630]~P4(x6303)+~P7(x6302,f38(f28(f4(a2,x6303))),a49)+P4(f15(f10(a2,x6301,x6302),x6303,a26))
% 0.78/0.92 [632]~P8(x6321,f45(x6323,f40(f50(x6322,a25)),x6322),f50(x6322,a25))+E(x6321,f40(f50(x6322,a25)))+E(x6321,f45(x6323,f40(f50(x6322,a25)),x6322))
% 0.78/0.92 [637]P7(x6371,f29(x6372),a49)+P7(x6371,f29(x6373),a49)+~P7(x6371,f29(f13(x6372,x6373,f50(a49,a25))),a49)
% 0.78/0.92 [639]~P7(x6393,a41,f48(a26))+P7(f15(f10(a2,x6391,x6392),x6393,a26),a41,f48(a26))+~P7(x6392,f38(f28(f4(a2,x6393))),a49)
% 0.78/0.92 [655]P7(x6551,f13(f38(f28(x6552)),f29(x6552),f50(a49,a25)),a49)+~P7(x6553,f38(f28(x6552)),a49)+~P7(x6551,f29(f45(x6553,f40(f50(a49,a25)),a49)),a49)
% 0.78/0.92 [703]~P5(x7033,x7031)+~P7(x7032,f18(x7033,x7031),x7031)+E(f16(f17(f14(f6(a42,f7(f44(x7031),x7032,x7031,x7031,a25),a25,a25,x7031),x7033,x7031),x7031),x7031),f19(f6(a42,f7(f44(x7031),x7032,x7031,x7031,a25),a25,a25,x7031),f16(x7033,x7031),x7031))
% 0.78/0.92 [704]~P5(x7043,x7042)+~P7(x7041,f18(x7043,x7042),x7042)+E(f15(x7041,f16(f19(f6(a42,f7(f44(x7042),x7041,x7042,x7042,a25),a25,a25,x7042),x7043,x7042),x7042),x7042),f14(f6(a42,f7(f44(x7042),x7041,x7042,x7042,a25),a25,a25,x7042),f16(x7043,x7042),x7042))
% 0.78/0.92 [479]~P8(x4793,x4791,f50(x4794,a25))+P14(f46(x4791,x4792))+~P14(f46(x4793,x4792))
% 0.78/0.92 [517]~P7(x5172,f18(x5173,x5174),x5174)+~E(f19(x5171,x5173,x5174),x5173)+P14(f46(x5171,x5172))
% 0.78/0.92 [523]~P7(x5232,f18(x5233,x5234),x5234)+~E(f14(x5231,x5233,x5234),f3(x5234))+P14(f46(x5231,x5232))
% 0.78/0.92 [525]~P9(x5254)+~P8(x5251,x5253,x5254)+P8(x5251,f13(x5252,x5253,x5254),x5254)
% 0.78/0.92 [526]~P9(x5264)+~P8(x5261,x5262,x5264)+P8(x5261,f13(x5262,x5263,x5264),x5264)
% 0.78/0.92 [531]P7(x5311,x5312,x5313)+~P7(x5311,x5314,x5313)+~P8(x5314,x5312,f50(x5313,a25))
% 0.78/0.92 [554]E(x5541,x5542)+P7(x5541,x5543,x5544)+~P7(x5541,f45(x5542,x5543,x5544),x5544)
% 0.78/0.92 [557]~P9(x5573)+P8(x5571,x5572,x5573)+~P8(f13(x5574,x5571,x5573),x5572,x5573)
% 0.78/0.92 [559]~P9(x5593)+P8(x5591,x5592,x5593)+~P8(f13(x5591,x5594,x5593),x5592,x5593)
% 0.78/0.92 [562]~P8(x5621,x5624,f50(x5623,a25))+~P8(x5624,x5622,f50(x5623,a25))+P8(x5621,x5622,f50(x5623,a25))
% 0.78/0.92 [598]~P7(x5981,x5984,x5983)+~P8(x5982,x5984,f50(x5983,a25))+P8(f45(x5981,x5982,x5983),x5984,f50(x5983,a25))
% 0.78/0.92 [604]P7(x6041,x6042,x6043)+~P8(x6042,f45(x6041,x6044,x6043),f50(x6043,a25))+P8(x6042,x6044,f50(x6043,a25))
% 0.78/0.92 [601]E(x6011,x6012)+P14(f46(x6013,x6011))+~P14(f46(f45(x6012,x6013,x6014),x6011))
% 0.78/0.92 [606]P7(x6061,x6062,x6063)+P7(x6061,x6064,x6063)+~P7(x6061,f13(x6062,x6064,f50(x6063,a25)),x6063)
% 0.78/0.92 [614]~P8(x6141,x6144,f50(x6143,a25))+~P8(x6142,x6144,f50(x6143,a25))+P8(f13(x6141,x6142,f50(x6143,a25)),x6144,f50(x6143,a25))
% 0.78/0.92 [622]E(x6221,x6222)+P7(x6221,f18(x6223,x6224),x6224)+~P7(x6221,f18(f15(x6222,x6223,x6224),x6224),x6224)
% 0.78/0.92 [567]~E(f28(x5671),f28(x5673))+~E(f28(x5672),f28(x5674))+E(f28(f13(x5671,x5672,f50(a49,a25))),f28(f13(x5673,x5674,f50(a49,a25))))
% 0.78/0.92 [631]P14(f46(x6311,x6312))+P14(f46(x6313,x6312))+~P14(f46(f13(x6311,x6313,f50(x6314,a25)),x6312))
% 0.78/0.92 [649]~P7(x6494,f29(x6493),a49)+~P7(x6491,f29(f45(x6494,x6492,a49)),a49)+P7(x6491,f29(f13(x6492,x6493,f50(a49,a25))),a49)
% 0.78/0.92 [653]~P8(f28(x6532),f28(x6534),f50(a49,a25))+~P8(f28(x6531),f28(x6533),f50(a49,a25))+P8(f28(f13(x6531,x6532,f50(a49,a25))),f28(f13(x6533,x6534,f50(a49,a25))),f50(a49,a25))
% 0.78/0.92 [652]~P4(x6522)+P7(f30(x6521),f12(x6522),a49)+P4(f15(f10(x6523,a23,f31(f33(x6523),f31(f33(x6524),f30(x6521)))),x6522,a26))
% 0.78/0.92 [656]P7(f30(x6561),f12(x6562),a49)+~P7(x6562,a41,f48(a26))+P7(f15(f10(x6563,a23,f31(f33(x6563),f31(f33(x6564),f30(x6561)))),x6562,a26),a41,f48(a26))
% 0.78/0.92 [515]~P3(x5154)+P8(f46(x5151,x5152),f46(x5153,x5152),x5154)+~P8(x5151,x5153,f50(x5155,x5154))
% 0.78/0.92 [590]~P7(x5905,f18(x5902,x5904),x5904)+E(f19(x5901,f11(x5902,x5903,x5904),x5904),f19(x5901,x5902,x5904))+P14(f46(x5901,x5905))
% 0.78/0.92 [615]~P7(x6155,f18(x6152,x6154),x6154)+E(f14(x6151,f11(x6152,x6153,x6154),x6154),f11(f14(x6151,x6152,x6154),x6153,x6154))+P14(f46(x6151,x6155))
% 0.78/0.92 [625]E(f14(x6251,x6252,x6253),f15(x6254,x6255,x6253))+P14(f46(x6251,x6254))+~E(f11(f19(x6251,x6252,x6253),f15(x6254,x6255,x6253),x6253),x6252)
% 0.78/0.92 [636]~P8(x6361,x6364,f50(x6363,a25))+~P8(x6362,x6365,f50(x6363,a25))+P8(f13(x6361,x6362,f50(x6363,a25)),f13(x6364,x6365,f50(x6363,a25)),f50(x6363,a25))
% 0.78/0.92 [668]P7(f21(x6681,x6682,x6683),f18(x6682,x6683),x6683)+~P14(f46(x6681,x6685))+P7(f21(x6681,f11(x6684,f15(x6685,x6682,x6683),x6683),x6683),f18(f11(x6684,f15(x6685,x6682,x6683),x6683),x6683),x6683)
% 0.78/0.92 [669]P7(f22(x6691,x6692,x6693),f18(x6692,x6693),x6693)+~P14(f46(x6691,x6694))+P7(f22(x6691,f11(x6692,f15(x6694,x6695,x6693),x6693),x6693),f18(f11(x6692,f15(x6694,x6695,x6693),x6693),x6693),x6693)
% 0.78/0.92 [672]~P14(f46(x6721,x6725))+P7(f21(x6721,f11(x6724,f15(x6725,x6722,x6723),x6723),x6723),f18(f11(x6724,f15(x6725,x6722,x6723),x6723),x6723),x6723)+P14(f46(x6721,f21(x6721,x6722,x6723)))
% 0.78/0.92 [673]~P14(f46(x6731,x6734))+P7(f22(x6731,f11(x6732,f15(x6734,x6735,x6733),x6733),x6733),f18(f11(x6732,f15(x6734,x6735,x6733),x6733),x6733),x6733)+P14(f46(x6731,f22(x6731,x6732,x6733)))
% 0.78/0.92 [645]E(x6451,x6452)+E(x6451,x6453)+~E(f45(x6454,f45(x6451,f40(f50(x6455,a25)),x6455),x6455),f45(x6453,f45(x6452,f40(f50(x6455,a25)),x6455),x6455))
% 0.78/0.92 [646]E(x6461,x6462)+E(x6463,x6462)+~E(f45(x6463,f45(x6461,f40(f50(x6464,a25)),x6464),x6464),f45(x6465,f45(x6462,f40(f50(x6464,a25)),x6464),x6464))
% 0.78/0.92 [647]E(x6471,x6472)+E(x6473,x6472)+~E(f45(x6473,f45(x6471,f40(f50(x6474,a25)),x6474),x6474),f45(x6472,f45(x6475,f40(f50(x6474,a25)),x6474),x6474))
% 0.78/0.92 [648]E(x6481,x6482)+E(x6481,x6483)+~E(f45(x6481,f45(x6484,f40(f50(x6485,a25)),x6485),x6485),f45(x6483,f45(x6482,f40(f50(x6485,a25)),x6485),x6485))
% 0.78/0.92 [670]P7(f21(x6701,x6702,x6703),f18(x6702,x6703),x6703)+~P14(f46(x6701,x6705))+P14(f46(x6701,f21(x6701,f11(x6704,f15(x6705,x6702,x6703),x6703),x6703)))
% 0.78/0.92 [671]P7(f22(x6711,x6712,x6713),f18(x6712,x6713),x6713)+~P14(f46(x6711,x6714))+P14(f46(x6711,f22(x6711,f11(x6712,f15(x6714,x6715,x6713),x6713),x6713)))
% 0.78/0.92 [674]~P14(f46(x6741,x6745))+P14(f46(x6741,f21(x6741,x6742,x6743)))+P14(f46(x6741,f21(x6741,f11(x6744,f15(x6745,x6742,x6743),x6743),x6743)))
% 0.78/0.92 [675]~P14(f46(x6751,x6754))+P14(f46(x6751,f22(x6751,x6752,x6753)))+P14(f46(x6751,f22(x6751,f11(x6752,f15(x6754,x6755,x6753),x6753),x6753)))
% 0.78/0.92 [678]E(x6781,f37(x6782))+~P7(x6783,a41,f48(a26))+~P7(f10(a23,x6782,f32(x6781,f31(x6784,f31(f33(x6785),f31(f35(x6786),x6787))))),f18(x6783,a26),a26)
% 0.78/0.92 [679]~P7(x6795,a41,f48(a26))+E(x6791,f32(f37(x6792),f31(f35(x6793),f33(x6794))))+~P7(f10(a23,x6794,f32(x6796,f31(x6797,f31(f33(x6792),f31(f35(x6793),x6791))))),f18(x6795,a26),a26)
% 0.78/0.92 [616]~P7(x6161,a39,a24)+P7(f35(x6161),f12(x6162),a49)+~P7(x6162,a41,f48(a26))+~P7(x6161,f34(f29(f4(a2,x6162))),a24)
% 0.78/0.92 [464]~P8(x4642,x4641,x4643)+~P8(x4641,x4642,x4643)+E(x4641,x4642)+~P10(x4643)
% 0.78/0.92 [591]~P7(f32(x5913,x5911),f28(x5912),a49)+P7(x5911,f28(x5912),a49)+~P7(f35(x5913),f28(x5912),a49)+~P7(x5913,a39,a24)
% 0.78/0.92 [611]~P7(f35(x6113),f28(x6112),a49)+~P7(f32(x6113,x6111),f38(f28(x6112)),a49)+P7(x6111,f38(f28(x6112)),a49)+~P7(f35(f27(x6113)),f28(x6112),a49)
% 0.78/0.92 [512]~P10(x5123)+~P8(x5121,x5124,x5123)+P8(x5121,x5122,x5123)+~P8(x5124,x5122,x5123)
% 0.78/0.92 [513]~P13(x5133)+~P8(x5131,x5134,x5133)+P8(x5131,x5132,x5133)+~P8(x5134,x5132,x5133)
% 0.78/0.92 [546]P7(x5463,x5461,x5464)+E(x5461,x5462)+P7(x5463,x5462,x5464)+~E(f45(x5463,x5461,x5464),f45(x5463,x5462,x5464))
% 0.78/0.92 [579]~P9(x5793)+~P8(x5792,x5794,x5793)+~P8(x5791,x5794,x5793)+P8(f13(x5791,x5792,x5793),x5794,x5793)
% 0.78/0.92 [640]~P8(x6403,x6402,f50(a49,a25))+P7(f35(x6401),f28(x6402),a49)+~P7(x6404,f38(f28(x6403)),a49)+~P7(f35(x6401),f28(f45(x6404,x6402,a49)),a49)
% 0.78/0.92 [665]P7(f35(f27(x6651)),f29(x6652),a49)+~P7(x6654,f38(f28(x6652)),a49)+~P7(x6651,f34(f29(f45(x6654,x6653,a49))),a24)+P7(x6651,f34(f29(f13(x6653,x6652,f50(a49,a25)))),a24)
% 0.78/0.92 [699]P7(x6991,a5,a47)+~P7(x6994,a41,f48(a26))+~P7(f32(f37(x6991),f31(f35(x6993),f33(x6992))),f29(f4(a2,x6994)),a49)+P7(f10(a23,x6992,f32(f37(x6992),f31(f60(x6992,x6991,x6993,x6994),f31(f33(x6991),f31(f35(x6993),f32(f37(x6991),f31(f35(x6993),f33(x6992)))))))),f18(x6994,a26),a26)
% 0.78/0.92 [705]P6(x7051,x7052,x7053,x7054)+~P7(f10(x7051,x7052,x7055),f18(x7054,a26),a26)+~P7(x7053,f29(f45(x7055,f40(f50(a49,a25)),a49)),a49)+P7(x7053,f29(f4(a2,f19(f6(a42,f7(f44(a26),f10(x7051,x7052,x7055),a26,a26,a25),a25,a25,a26),f16(x7054,a26),a26))),a49)
% 0.78/0.92 [660]P7(x6604,a5,a47)+~P7(x6605,a41,f48(a26))+E(x6601,f32(f37(x6602),f31(f35(x6603),f33(x6604))))+~P7(f32(f37(x6604),f31(x6606,f31(f33(x6602),f31(f35(x6603),x6601)))),f29(f4(a2,x6605)),a49)
% 0.78/0.92 [682]P7(x6821,a5,a47)+~P7(x6826,a41,f48(a26))+~P7(f32(f37(x6821),f31(x6822,f31(f33(x6823),f31(f35(x6824),x6825)))),f29(f4(a2,x6826)),a49)+P7(f10(a23,x6821,f32(f37(x6821),f31(x6822,f31(f33(x6823),f31(f35(x6824),x6825))))),f18(x6826,a26),a26)
% 0.78/0.92 [681]~P7(x6815,a41,f48(a26))+P7(x6811,f28(f4(a2,x6815)),a49)+E(x6811,f32(f37(x6812),f31(f35(x6813),f33(x6814))))+~P7(f10(x6816,x6814,f32(f37(x6814),f31(f30(x6817),f31(f33(x6812),f31(f35(x6813),x6811))))),f18(x6815,a26),a26)
% 0.78/0.92 [688]~P4(x6884)+~P7(f10(x6885,x6886,f32(x6883,f30(x6882))),f18(x6884,a26),a26)+~P7(f10(a23,x6886,f32(f37(x6886),f31(f30(x6881),f31(f33(x6885),f31(f35(x6883),x6887))))),f18(x6884,a26),a26)+P4(f15(f9(a2,f31(f30(x6881),f31(f30(x6882),f35(x6883)))),x6884,a26))
% 0.78/0.92 [690]~P7(x6904,a41,f48(a26))+~P7(f10(x6905,x6906,f32(x6903,f30(x6902))),f18(x6904,a26),a26)+P7(f15(f9(a2,f31(f30(x6901),f31(f30(x6902),f35(x6903)))),x6904,a26),a41,f48(a26))+~P7(f10(a23,x6906,f32(f37(x6906),f31(f30(x6901),f31(f33(x6905),f31(f35(x6903),x6907))))),f18(x6904,a26),a26)
% 0.78/0.92 [694]E(x6941,x6942)+~P7(x6943,a41,f48(a26))+~P7(f10(a23,x6948,f32(f37(x6948),f31(x6949,f31(f33(x69410),f31(f35(x6947),x6942))))),f18(x6943,a26),a26)+~P7(f10(a23,x6944,f32(f37(x6944),f31(x6945,f31(f33(x6946),f31(f35(x6947),x6941))))),f18(x6943,a26),a26)
% 0.78/0.92 [695]E(x6951,x6952)+~P7(x6953,a41,f48(a26))+~P7(f10(a23,x6958,f32(f37(x6958),f31(x6959,f31(f33(x6952),f31(f35(x6956),x69510))))),f18(x6953,a26),a26)+~P7(f10(a23,x6954,f32(f37(x6954),f31(x6955,f31(f33(x6951),f31(f35(x6956),x6957))))),f18(x6953,a26),a26)
% 0.78/0.92 [696]E(x6961,x6962)+~P7(x6963,a41,f48(a26))+~P7(f10(a23,x6968,f32(f37(x6968),f31(x6962,f31(f33(x6969),f31(f35(x6966),x69610))))),f18(x6963,a26),a26)+~P7(f10(a23,x6964,f32(f37(x6964),f31(x6961,f31(f33(x6965),f31(f35(x6966),x6967))))),f18(x6963,a26),a26)
% 0.78/0.92 [697]E(x6971,x6972)+~P7(x6973,a41,f48(a26))+~P7(f10(a23,x6971,f32(f37(x6971),f31(x6978,f31(f33(x6979),f31(f35(x6976),x69710))))),f18(x6973,a26),a26)+~P7(f10(a23,x6972,f32(f37(x6972),f31(x6974,f31(f33(x6975),f31(f35(x6976),x6977))))),f18(x6973,a26),a26)
% 0.78/0.92 [661]~P4(x6612)+~P7(x6615,a39,a24)+P7(f30(x6611),f12(x6612),a49)+~P7(f10(x6616,x6613,f32(f37(x6613),f31(f35(x6615),f33(x6614)))),f18(x6612,a26),a26)+P4(f15(f10(x6613,x6614,f32(x6615,f30(x6611))),x6612,a26))
% 0.78/0.92 [662]~P7(x6625,a39,a24)+P7(f30(x6621),f12(x6622),a49)+~P7(x6622,a41,f48(a26))+~P7(f10(x6626,x6623,f32(f37(x6623),f31(f35(x6625),f33(x6624)))),f18(x6622,a26),a26)+P7(f15(f10(x6623,x6624,f32(x6625,f30(x6621))),x6622,a26),a41,f48(a26))
% 0.78/0.92 [701]~P4(x7012)+~P7(x7011,a39,a24)+P7(f35(x7011),f12(x7012),a49)+~P7(f10(x7016,a23,f31(f33(x7013),f31(f33(x7015),f30(x7014)))),f18(x7012,a26),a26)+P4(f15(f10(a23,x7013,f32(f37(x7013),f31(f30(x7014),f31(f33(x7015),f31(f35(x7011),f32(f37(x7015),f31(f35(x7011),f33(x7013)))))))),x7012,a26))
% 0.78/0.92 [702]~P7(x7021,a39,a24)+P7(f35(x7021),f12(x7022),a49)+~P7(x7022,a41,f48(a26))+~P7(f10(x7026,a23,f31(f33(x7023),f31(f33(x7025),f30(x7024)))),f18(x7022,a26),a26)+P7(f15(f10(a23,x7023,f32(f37(x7023),f31(f30(x7024),f31(f33(x7025),f31(f35(x7021),f32(f37(x7025),f31(f35(x7021),f33(x7023)))))))),x7022,a26),a41,f48(a26))
% 0.78/0.92 [683]~P7(x6832,a41,f48(a26))+~P7(f32(x6831,f30(x6835)),f29(f4(a2,x6832)),a49)+P7(f35(x6831),f28(f4(a2,x6832)),a49)+P7(f10(x6833,x6834,f32(x6831,f30(x6835))),f18(x6832,a26),a26)+~P7(f10(a23,x6834,f32(f37(x6834),f31(x6836,f31(f33(x6833),f31(f35(x6831),x6837))))),f18(x6832,a26),a26)
% 0.78/0.92 [685]~P7(x6852,a41,f48(a26))+~P7(f32(x6851,f30(x6855)),f29(f4(a2,x6852)),a49)+P7(f35(x6851),f28(f4(a2,x6852)),a49)+P7(f10(f62(x6853,x6854,x6852),x6853,x6854),f18(x6852,a26),a26)+~P7(f10(a23,x6856,f32(f37(x6856),f31(x6857,f31(f33(x6853),f31(f35(x6851),x6854))))),f18(x6852,a26),a26)
% 0.78/0.92 [687]~P4(x6874)+E(x6871,a23)+~P7(f10(x6871,a23,f31(f33(x6871),f31(f33(x6872),f30(x6875)))),f18(x6874,a26),a26)+P4(f15(f10(x6871,x6872,x6873),x6874,a26))+~P7(f10(x6876,x6871,f32(f37(x6871),f31(f30(x6875),f31(f33(x6872),f31(f35(x6877),x6873))))),f18(x6874,a26),a26)
% 0.78/0.92 [689]E(x6891,a23)+~P7(x6894,a41,f48(a26))+P7(f15(f10(x6891,x6892,x6893),x6894,a26),a41,f48(a26))+~P7(f10(x6891,a23,f31(f33(x6891),f31(f33(x6892),f30(x6895)))),f18(x6894,a26),a26)+~P7(f10(x6896,x6891,f32(f37(x6891),f31(f30(x6895),f31(f33(x6892),f31(f35(x6897),x6893))))),f18(x6894,a26),a26)
% 0.78/0.92 [691]~P4(x6915)+~P7(x6913,a39,a24)+~P7(f10(x6916,x6911,f32(x6913,f30(x6914))),f18(x6915,a26),a26)+~P7(f10(x6917,x6911,f32(f37(x6911),f31(f30(x6918),f31(f33(x6912),f31(f35(x6913),x6919))))),f18(x6915,a26),a26)+P4(f15(f10(x6911,x6912,f32(x6913,f31(f30(x6914),f30(x6914)))),x6915,a26))
% 0.78/0.92 [693]~P7(x6933,a39,a24)+~P7(x6935,a41,f48(a26))+~P7(f10(x6936,x6931,f32(x6933,f30(x6934))),f18(x6935,a26),a26)+P7(f15(f10(x6931,x6932,f32(x6933,f31(f30(x6934),f30(x6934)))),x6935,a26),a41,f48(a26))+~P7(f10(x6937,x6931,f32(f37(x6931),f31(f30(x6938),f31(f33(x6932),f31(f35(x6933),x6939))))),f18(x6935,a26),a26)
% 0.78/0.92 [654]P6(x6542,x6541,f32(x6543,f30(x6544)),x6545)+P7(x6541,a5,a47)+P7(x6542,a5,a47)+~P7(x6545,a41,f48(a26))+P7(f35(x6543),f28(f4(a2,x6545)),a49)+~P7(f10(x6542,x6541,f32(x6543,f30(x6544))),f18(x6545,a26),a26)
% 0.78/0.92 [700]P7(x7001,a5,a47)+P7(x7002,a5,a47)+~P7(x7005,a41,f48(a26))+~P7(f35(x7004),f28(f4(a2,x7005)),a49)+P7(f9(a2,f31(x7003,f31(f64(x7004,x7003,x7005),f35(x7004)))),f18(x7005,a26),a26)+~P7(f10(a23,x7001,f32(f37(x7001),f31(x7003,f31(f33(x7002),f31(f35(x7004),f32(f37(x7002),f31(f35(x7004),f33(x7001)))))))),f18(x7005,a26),a26)
% 0.78/0.92 [698]P7(x6981,a5,a47)+~P7(x6983,a41,f48(a26))+P7(f35(x6982),f28(f4(a2,x6983)),a49)+~P7(f32(x6982,f31(f30(x6985),f30(x6985))),f29(f4(a2,x6983)),a49)+P7(f10(x6984,x6981,f32(x6982,f31(f30(x6985),f30(x6985)))),f18(x6983,a26),a26)+~P7(f10(a23,x6984,f32(f37(x6984),f31(x6986,f31(f33(x6981),f31(f35(x6982),f32(f37(x6981),f31(f35(x6982),f33(x6984)))))))),f18(x6983,a26),a26)
% 0.78/0.92 [692]P7(x6921,a5,a47)+P7(x6922,a5,a47)+~P7(x6925,a41,f48(a26))+~P7(f35(x6924),f28(f4(a2,x6925)),a49)+P7(f9(a2,f31(x6923,f31(f63(x6924,x6923,x6925),f35(x6924)))),f18(x6925,a26),a26)+~P7(f10(a23,x6921,f32(x6926,f31(x6923,f31(f33(x6922),f31(f35(x6924),x6927))))),f18(x6925,a26),a26)
% 0.78/0.92 [677]P7(x6771,a5,a47)+P7(x6772,a5,a47)+~P7(x6775,a41,f48(a26))+~P7(f32(f37(x6771),f31(f35(x6773),f33(x6772))),f29(f4(a2,x6775)),a49)+~P7(f32(x6773,f31(f30(x6774),f30(x6774))),f29(f4(a2,x6775)),a49)+P7(f10(x6772,x6771,f32(x6773,f31(f30(x6774),f30(x6774)))),f18(x6775,a26),a26)+P7(f9(a2,f31(f58(x6773,x6775),f31(f61(x6773,x6775),f35(x6773)))),f18(x6775,a26),a26)
% 0.78/0.92 [676]P6(x6762,x6761,f32(x6763,f30(x6764)),x6765)+P7(x6761,a5,a47)+P7(x6762,a5,a47)+~P7(x6765,a41,f48(a26))+~P7(f32(x6763,f30(x6764)),f29(f4(a2,x6765)),a49)+P7(f35(x6763),f28(f4(a2,x6765)),a49)+~P7(f32(f37(x6761),f31(x6766,f31(f33(x6762),f31(f35(x6763),x6767)))),f29(f4(a2,x6765)),a49)
% 0.78/0.92 [680]P7(x6801,a5,a47)+P7(x6802,a5,a47)+~P7(x6804,a41,f48(a26))+P7(f35(x6803),f28(f4(a2,x6804)),a49)+~P7(f32(x6803,f31(f30(x6805),f30(x6805))),f29(f4(a2,x6804)),a49)+P7(f10(x6802,x6801,f32(x6803,f31(f30(x6805),f30(x6805)))),f18(x6804,a26),a26)+~P7(f32(f37(x6802),f31(f30(x6806),f31(f33(x6801),f31(f35(x6803),x6807)))),f29(f4(a2,x6804)),a49)
% 0.78/0.92 [686]P7(x6861,a5,a47)+P7(x6862,a5,a47)+~P7(x6865,a41,f48(a26))+~P7(f32(x6863,f30(x6864)),f29(f4(a2,x6865)),a49)+P7(f10(x6862,x6861,f32(x6863,f30(x6864))),f18(x6865,a26),a26)+P7(f9(a2,f31(x6866,f31(f59(x6863,x6866,x6865),f35(x6863)))),f18(x6865,a26),a26)+~P7(f32(f37(x6861),f31(x6866,f31(f33(x6862),f31(f35(x6863),x6867)))),f29(f4(a2,x6865)),a49)
% 0.78/0.92 %EqnAxiom
% 0.78/0.92 [1]E(x11,x11)
% 0.78/0.92 [2]E(x22,x21)+~E(x21,x22)
% 0.78/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.78/0.92 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.78/0.92 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.78/0.92 [6]~E(x61,x62)+E(f33(x61),f33(x62))
% 0.78/0.92 [7]~E(x71,x72)+E(f28(x71),f28(x72))
% 0.78/0.92 [8]~E(x81,x82)+E(f31(x81,x83),f31(x82,x83))
% 0.78/0.92 [9]~E(x91,x92)+E(f31(x93,x91),f31(x93,x92))
% 0.78/0.92 [10]~E(x101,x102)+E(f35(x101),f35(x102))
% 0.78/0.92 [11]~E(x111,x112)+E(f29(x111),f29(x112))
% 0.78/0.92 [12]~E(x121,x122)+E(f37(x121),f37(x122))
% 0.78/0.92 [13]~E(x131,x132)+E(f46(x131,x133),f46(x132,x133))
% 0.78/0.92 [14]~E(x141,x142)+E(f46(x143,x141),f46(x143,x142))
% 0.78/0.92 [15]~E(x151,x152)+E(f45(x151,x153,x154),f45(x152,x153,x154))
% 0.78/0.92 [16]~E(x161,x162)+E(f45(x163,x161,x164),f45(x163,x162,x164))
% 0.78/0.92 [17]~E(x171,x172)+E(f45(x173,x174,x171),f45(x173,x174,x172))
% 0.78/0.92 [18]~E(x181,x182)+E(f15(x181,x183,x184),f15(x182,x183,x184))
% 0.78/0.92 [19]~E(x191,x192)+E(f15(x193,x191,x194),f15(x193,x192,x194))
% 0.78/0.92 [20]~E(x201,x202)+E(f15(x203,x204,x201),f15(x203,x204,x202))
% 0.78/0.92 [21]~E(x211,x212)+E(f30(x211),f30(x212))
% 0.78/0.92 [22]~E(x221,x222)+E(f32(x221,x223),f32(x222,x223))
% 0.78/0.92 [23]~E(x231,x232)+E(f32(x233,x231),f32(x233,x232))
% 0.78/0.92 [24]~E(x241,x242)+E(f21(x241,x243,x244),f21(x242,x243,x244))
% 0.78/0.92 [25]~E(x251,x252)+E(f21(x253,x251,x254),f21(x253,x252,x254))
% 0.78/0.92 [26]~E(x261,x262)+E(f21(x263,x264,x261),f21(x263,x264,x262))
% 0.78/0.92 [27]~E(x271,x272)+E(f11(x271,x273,x274),f11(x272,x273,x274))
% 0.78/0.92 [28]~E(x281,x282)+E(f11(x283,x281,x284),f11(x283,x282,x284))
% 0.78/0.92 [29]~E(x291,x292)+E(f11(x293,x294,x291),f11(x293,x294,x292))
% 0.78/0.92 [30]~E(x301,x302)+E(f38(x301),f38(x302))
% 0.78/0.92 [31]~E(x311,x312)+E(f18(x311,x313),f18(x312,x313))
% 0.78/0.92 [32]~E(x321,x322)+E(f18(x323,x321),f18(x323,x322))
% 0.78/0.92 [33]~E(x331,x332)+E(f10(x331,x333,x334),f10(x332,x333,x334))
% 0.78/0.92 [34]~E(x341,x342)+E(f10(x343,x341,x344),f10(x343,x342,x344))
% 0.78/0.92 [35]~E(x351,x352)+E(f10(x353,x354,x351),f10(x353,x354,x352))
% 0.78/0.92 [36]~E(x361,x362)+E(f50(x361,x363),f50(x362,x363))
% 0.78/0.92 [37]~E(x371,x372)+E(f50(x373,x371),f50(x373,x372))
% 0.78/0.92 [38]~E(x381,x382)+E(f48(x381),f48(x382))
% 0.78/0.92 [39]~E(x391,x392)+E(f9(x391,x393),f9(x392,x393))
% 0.78/0.92 [40]~E(x401,x402)+E(f9(x403,x401),f9(x403,x402))
% 0.78/0.92 [41]~E(x411,x412)+E(f22(x411,x413,x414),f22(x412,x413,x414))
% 0.78/0.92 [42]~E(x421,x422)+E(f22(x423,x421,x424),f22(x423,x422,x424))
% 0.78/0.92 [43]~E(x431,x432)+E(f22(x433,x434,x431),f22(x433,x434,x432))
% 0.78/0.92 [44]~E(x441,x442)+E(f4(x441,x443),f4(x442,x443))
% 0.78/0.92 [45]~E(x451,x452)+E(f4(x453,x451),f4(x453,x452))
% 0.78/0.92 [46]~E(x461,x462)+E(f16(x461,x463),f16(x462,x463))
% 0.78/0.92 [47]~E(x471,x472)+E(f16(x473,x471),f16(x473,x472))
% 0.78/0.92 [48]~E(x481,x482)+E(f19(x481,x483,x484),f19(x482,x483,x484))
% 0.78/0.92 [49]~E(x491,x492)+E(f19(x493,x491,x494),f19(x493,x492,x494))
% 0.78/0.92 [50]~E(x501,x502)+E(f19(x503,x504,x501),f19(x503,x504,x502))
% 0.78/0.92 [51]~E(x511,x512)+E(f13(x511,x513,x514),f13(x512,x513,x514))
% 0.78/0.92 [52]~E(x521,x522)+E(f13(x523,x521,x524),f13(x523,x522,x524))
% 0.78/0.92 [53]~E(x531,x532)+E(f13(x533,x534,x531),f13(x533,x534,x532))
% 0.78/0.92 [54]~E(x541,x542)+E(f17(x541,x543),f17(x542,x543))
% 0.78/0.92 [55]~E(x551,x552)+E(f17(x553,x551),f17(x553,x552))
% 0.78/0.92 [56]~E(x561,x562)+E(f6(x561,x563,x564,x565,x566),f6(x562,x563,x564,x565,x566))
% 0.78/0.92 [57]~E(x571,x572)+E(f6(x573,x571,x574,x575,x576),f6(x573,x572,x574,x575,x576))
% 0.78/0.92 [58]~E(x581,x582)+E(f6(x583,x584,x581,x585,x586),f6(x583,x584,x582,x585,x586))
% 0.78/0.92 [59]~E(x591,x592)+E(f6(x593,x594,x595,x591,x596),f6(x593,x594,x595,x592,x596))
% 0.78/0.92 [60]~E(x601,x602)+E(f6(x603,x604,x605,x606,x601),f6(x603,x604,x605,x606,x602))
% 0.78/0.92 [61]~E(x611,x612)+E(f7(x611,x613,x614,x615,x616),f7(x612,x613,x614,x615,x616))
% 0.78/0.92 [62]~E(x621,x622)+E(f7(x623,x621,x624,x625,x626),f7(x623,x622,x624,x625,x626))
% 0.78/0.92 [63]~E(x631,x632)+E(f7(x633,x634,x631,x635,x636),f7(x633,x634,x632,x635,x636))
% 0.78/0.92 [64]~E(x641,x642)+E(f7(x643,x644,x645,x641,x646),f7(x643,x644,x645,x642,x646))
% 0.78/0.92 [65]~E(x651,x652)+E(f7(x653,x654,x655,x656,x651),f7(x653,x654,x655,x656,x652))
% 0.78/0.92 [66]~E(x661,x662)+E(f12(x661),f12(x662))
% 0.78/0.92 [67]~E(x671,x672)+E(f40(x671),f40(x672))
% 0.78/0.92 [68]~E(x681,x682)+E(f44(x681),f44(x682))
% 0.78/0.92 [69]~E(x691,x692)+E(f36(x691),f36(x692))
% 0.78/0.92 [70]~E(x701,x702)+E(f58(x701,x703),f58(x702,x703))
% 0.78/0.92 [71]~E(x711,x712)+E(f58(x713,x711),f58(x713,x712))
% 0.78/0.92 [72]~E(x721,x722)+E(f63(x721,x723,x724),f63(x722,x723,x724))
% 0.78/0.92 [73]~E(x731,x732)+E(f63(x733,x731,x734),f63(x733,x732,x734))
% 0.78/0.92 [74]~E(x741,x742)+E(f63(x743,x744,x741),f63(x743,x744,x742))
% 0.78/0.92 [75]~E(x751,x752)+E(f14(x751,x753,x754),f14(x752,x753,x754))
% 0.78/0.92 [76]~E(x761,x762)+E(f14(x763,x761,x764),f14(x763,x762,x764))
% 0.78/0.92 [77]~E(x771,x772)+E(f14(x773,x774,x771),f14(x773,x774,x772))
% 0.78/0.92 [78]~E(x781,x782)+E(f8(x781,x783),f8(x782,x783))
% 0.78/0.92 [79]~E(x791,x792)+E(f8(x793,x791),f8(x793,x792))
% 0.78/0.92 [80]~E(x801,x802)+E(f57(x801,x803,x804,x805),f57(x802,x803,x804,x805))
% 0.78/0.92 [81]~E(x811,x812)+E(f57(x813,x811,x814,x815),f57(x813,x812,x814,x815))
% 0.78/0.92 [82]~E(x821,x822)+E(f57(x823,x824,x821,x825),f57(x823,x824,x822,x825))
% 0.78/0.92 [83]~E(x831,x832)+E(f57(x833,x834,x835,x831),f57(x833,x834,x835,x832))
% 0.78/0.92 [84]~E(x841,x842)+E(f34(x841),f34(x842))
% 0.78/0.92 [85]~E(x851,x852)+E(f43(x851,x853),f43(x852,x853))
% 0.78/0.92 [86]~E(x861,x862)+E(f43(x863,x861),f43(x863,x862))
% 0.78/0.92 [87]~E(x871,x872)+E(f61(x871,x873),f61(x872,x873))
% 0.78/0.92 [88]~E(x881,x882)+E(f61(x883,x881),f61(x883,x882))
% 0.78/0.92 [89]~E(x891,x892)+E(f64(x891,x893,x894),f64(x892,x893,x894))
% 0.78/0.92 [90]~E(x901,x902)+E(f64(x903,x901,x904),f64(x903,x902,x904))
% 0.78/0.92 [91]~E(x911,x912)+E(f64(x913,x914,x911),f64(x913,x914,x912))
% 0.78/0.92 [92]~E(x921,x922)+E(f20(x921,x923,x924),f20(x922,x923,x924))
% 0.78/0.92 [93]~E(x931,x932)+E(f20(x933,x931,x934),f20(x933,x932,x934))
% 0.78/0.92 [94]~E(x941,x942)+E(f20(x943,x944,x941),f20(x943,x944,x942))
% 0.78/0.92 [95]~E(x951,x952)+E(f62(x951,x953,x954),f62(x952,x953,x954))
% 0.78/0.92 [96]~E(x961,x962)+E(f62(x963,x961,x964),f62(x963,x962,x964))
% 0.78/0.92 [97]~E(x971,x972)+E(f62(x973,x974,x971),f62(x973,x974,x972))
% 0.78/0.92 [98]~E(x981,x982)+E(f60(x981,x983,x984,x985),f60(x982,x983,x984,x985))
% 0.78/0.92 [99]~E(x991,x992)+E(f60(x993,x991,x994,x995),f60(x993,x992,x994,x995))
% 0.78/0.92 [100]~E(x1001,x1002)+E(f60(x1003,x1004,x1001,x1005),f60(x1003,x1004,x1002,x1005))
% 0.78/0.92 [101]~E(x1011,x1012)+E(f60(x1013,x1014,x1015,x1011),f60(x1013,x1014,x1015,x1012))
% 0.78/0.92 [102]~E(x1021,x1022)+E(f59(x1021,x1023,x1024),f59(x1022,x1023,x1024))
% 0.78/0.92 [103]~E(x1031,x1032)+E(f59(x1033,x1031,x1034),f59(x1033,x1032,x1034))
% 0.78/0.92 [104]~E(x1041,x1042)+E(f59(x1043,x1044,x1041),f59(x1043,x1044,x1042))
% 0.78/0.92 [105]~P1(x1051)+P1(x1052)+~E(x1051,x1052)
% 0.78/0.92 [106]P7(x1062,x1063,x1064)+~E(x1061,x1062)+~P7(x1061,x1063,x1064)
% 0.78/0.92 [107]P7(x1073,x1072,x1074)+~E(x1071,x1072)+~P7(x1073,x1071,x1074)
% 0.78/0.92 [108]P7(x1083,x1084,x1082)+~E(x1081,x1082)+~P7(x1083,x1084,x1081)
% 0.78/0.92 [109]~P9(x1091)+P9(x1092)+~E(x1091,x1092)
% 0.78/0.92 [110]P8(x1102,x1103,x1104)+~E(x1101,x1102)+~P8(x1101,x1103,x1104)
% 0.78/0.92 [111]P8(x1113,x1112,x1114)+~E(x1111,x1112)+~P8(x1113,x1111,x1114)
% 0.78/0.92 [112]P8(x1123,x1124,x1122)+~E(x1121,x1122)+~P8(x1123,x1124,x1121)
% 0.78/0.92 [113]~P2(x1131)+P2(x1132)+~E(x1131,x1132)
% 0.78/0.92 [114]~P10(x1141)+P10(x1142)+~E(x1141,x1142)
% 0.78/0.92 [115]~P14(x1151)+P14(x1152)+~E(x1151,x1152)
% 0.78/0.92 [116]~P11(x1161)+P11(x1162)+~E(x1161,x1162)
% 0.78/0.92 [117]~P4(x1171)+P4(x1172)+~E(x1171,x1172)
% 0.78/0.92 [118]~P13(x1181)+P13(x1182)+~E(x1181,x1182)
% 0.78/0.92 [119]~P3(x1191)+P3(x1192)+~E(x1191,x1192)
% 0.78/0.92 [120]~P12(x1201)+P12(x1202)+~E(x1201,x1202)
% 0.78/0.92 [121]P5(x1212,x1213)+~E(x1211,x1212)+~P5(x1211,x1213)
% 0.78/0.92 [122]P5(x1223,x1222)+~E(x1221,x1222)+~P5(x1223,x1221)
% 0.78/0.92 [123]P6(x1232,x1233,x1234,x1235)+~E(x1231,x1232)+~P6(x1231,x1233,x1234,x1235)
% 0.78/0.92 [124]P6(x1243,x1242,x1244,x1245)+~E(x1241,x1242)+~P6(x1243,x1241,x1244,x1245)
% 0.78/0.92 [125]P6(x1253,x1254,x1252,x1255)+~E(x1251,x1252)+~P6(x1253,x1254,x1251,x1255)
% 0.78/0.92 [126]P6(x1263,x1264,x1265,x1262)+~E(x1261,x1262)+~P6(x1263,x1264,x1265,x1261)
% 0.78/0.92
% 0.78/0.92 %-------------------------------------------
% 0.78/0.92 cnf(720,plain,
% 0.78/0.92 (P7(x7201,f18(f11(x7202,f15(x7201,x7203,x7204),x7204),x7204),x7204)),
% 0.78/0.92 inference(rename_variables,[],[294])).
% 0.78/0.92 cnf(723,plain,
% 0.78/0.92 (P7(x7231,f18(f11(x7232,f15(x7231,x7233,x7234),x7234),x7234),x7234)),
% 0.78/0.92 inference(rename_variables,[],[294])).
% 0.78/0.92 cnf(730,plain,
% 0.78/0.92 (P7(x7301,f18(f11(x7302,f15(x7301,x7303,x7304),x7304),x7304),x7304)),
% 0.78/0.92 inference(rename_variables,[],[294])).
% 0.78/0.92 cnf(733,plain,
% 0.78/0.92 (P8(x7331,f38(x7331),f50(a49,a25))),
% 0.78/0.92 inference(rename_variables,[],[187])).
% 0.78/0.92 cnf(736,plain,
% 0.78/0.92 (~E(f15(x7361,x7362,x7363),x7362)),
% 0.78/0.92 inference(rename_variables,[],[352])).
% 0.78/0.92 cnf(739,plain,
% 0.78/0.92 (P7(x7391,f18(f11(x7392,f15(x7391,x7393,x7394),x7394),x7394),x7394)),
% 0.78/0.92 inference(rename_variables,[],[294])).
% 0.78/0.92 cnf(755,plain,
% 0.78/0.92 (~E(f15(x7551,x7552,x7553),x7552)),
% 0.78/0.92 inference(rename_variables,[],[352])).
% 0.78/0.92 cnf(758,plain,
% 0.78/0.92 (~E(f15(x7581,x7582,x7583),x7582)),
% 0.78/0.92 inference(rename_variables,[],[352])).
% 0.78/0.92 cnf(763,plain,
% 0.78/0.92 (P8(x7631,f38(x7631),f50(a49,a25))),
% 0.78/0.92 inference(rename_variables,[],[187])).
% 0.78/0.92 cnf(766,plain,
% 0.78/0.92 (P8(x7661,f38(x7661),f50(a49,a25))),
% 0.78/0.92 inference(rename_variables,[],[187])).
% 0.78/0.92 cnf(769,plain,
% 0.78/0.92 (P8(x7691,f38(x7691),f50(a49,a25))),
% 0.78/0.92 inference(rename_variables,[],[187])).
% 0.78/0.92 cnf(776,plain,
% 0.78/0.92 (~E(f15(x7761,x7762,x7763),x7762)),
% 0.78/0.92 inference(rename_variables,[],[352])).
% 0.78/0.92 cnf(779,plain,
% 0.78/0.92 (~E(f15(x7791,x7792,x7793),x7792)),
% 0.78/0.92 inference(rename_variables,[],[352])).
% 0.78/0.92 cnf(782,plain,
% 0.78/0.92 (~E(f15(x7821,x7822,x7823),x7822)),
% 0.78/0.92 inference(rename_variables,[],[352])).
% 0.78/0.92 cnf(787,plain,
% 0.78/0.92 (P7(x7871,f18(f11(x7872,f15(x7871,x7873,x7874),x7874),x7874),x7874)),
% 0.78/0.92 inference(rename_variables,[],[294])).
% 0.78/0.92 cnf(790,plain,
% 0.78/0.92 (P7(x7901,f18(f11(x7902,f15(x7901,x7903,x7904),x7904),x7904),x7904)),
% 0.78/0.92 inference(rename_variables,[],[294])).
% 0.78/0.92 cnf(797,plain,
% 0.78/0.92 (~E(f15(x7971,x7972,x7973),x7972)),
% 0.78/0.92 inference(rename_variables,[],[352])).
% 0.78/0.92 cnf(819,plain,
% 0.78/0.92 ($false),
% 0.78/0.92 inference(scs_inference,[],[127,349,161,365,371,205,307,181,151,352,736,755,758,776,779,782,797,187,733,763,766,769,368,144,235,294,720,723,730,739,787,790,360,370,281,2,427,504,437,422,417,667,666,617,595,581,580,510,500,475,474,470,469,443,441,412,411,659,608,607,588,552,499,416,415,379,633,587,514,600,664,461,460,553,609,122,115,111,110,108,107,106]),
% 0.78/0.92 ['proof']).
% 0.78/0.92 % SZS output end Proof
% 0.78/0.92 % Total time :0.110000s
%------------------------------------------------------------------------------