%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV799-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 19:22:04 EDT 2022

% Result   : Unsatisfiable 13.43s 13.69s
% Output   : CNFRefutation 13.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
    c_fequal(V_x,V_x,T_a),
    input ).

fof(cls_ATP__Linkup_Oequal__imp__fequal_0_0,plain,
    ! [T_a,V_x] :
      ( c_fequal(V_x,V_x,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0]) ).

cnf(clsarity_bool__HOL_Oord,axiom,
    class_HOL_Oord(tc_bool),
    input ).

fof(clsarity_bool__HOL_Oord_0,plain,
    ( class_HOL_Oord(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__HOL_Oord]) ).

cnf(clsarity_bool__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Obot_0,plain,
    ( class_Orderings_Obot(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Obot]) ).

cnf(clsarity_bool__Orderings_Otop,axiom,
    class_Orderings_Otop(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Otop_0,plain,
    ( class_Orderings_Otop(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Otop]) ).

cnf(clsarity_bool__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Oorder_0,plain,
    ( class_Orderings_Oorder(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Oorder]) ).

cnf(clsarity_bool__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Olattice_0,plain,
    ( class_Lattices_Olattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Olattice]) ).

cnf(clsarity_bool__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Opreorder_0,plain,
    ( class_Orderings_Opreorder(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Opreorder]) ).

cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Oboolean__algebra_0,plain,
    ( class_Lattices_Oboolean__algebra(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Oboolean__algebra]) ).

cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Obounded__lattice_0,plain,
    ( class_Lattices_Obounded__lattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Obounded__lattice]) ).

cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Oupper__semilattice_0,plain,
    ( class_Lattices_Oupper__semilattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Oupper__semilattice]) ).

cnf(clsarity_nat__HOL_Oord,axiom,
    class_HOL_Oord(tc_nat),
    input ).

fof(clsarity_nat__HOL_Oord_0,plain,
    ( class_HOL_Oord(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__HOL_Oord]) ).

cnf(clsarity_nat__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Obot_0,plain,
    ( class_Orderings_Obot(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Obot]) ).

cnf(clsarity_nat__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Oorder_0,plain,
    ( class_Orderings_Oorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Oorder]) ).

cnf(clsarity_nat__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_nat),
    input ).

fof(clsarity_nat__Lattices_Olattice_0,plain,
    ( class_Lattices_Olattice(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Lattices_Olattice]) ).

cnf(clsarity_nat__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Olinorder_0,plain,
    ( class_Orderings_Olinorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Olinorder]) ).

cnf(clsarity_nat__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Opreorder_0,plain,
    ( class_Orderings_Opreorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Opreorder]) ).

cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    input ).

fof(clsarity_nat__Lattices_Oupper__semilattice_0,plain,
    ( class_Lattices_Oupper__semilattice(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Lattices_Oupper__semilattice]) ).

cnf(cls_msg_Osimps_I42_J_0,axiom,
    hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
    input ).

fof(cls_msg_Osimps_I42_J_0_0,plain,
    ! [V_msg_H,V_nat,V_nat_H] :
      ( hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I42_J_0]) ).

cnf(cls_msg_Osimps_I41_J_0,axiom,
    c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat),
    input ).

fof(cls_msg_Osimps_I41_J_0_0,plain,
    ! [V_msg1_H,V_msg2_H,V_nat] :
      ( c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I41_J_0]) ).

cnf(cls_msg_Osimps_I40_J_0,axiom,
    hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
    input ).

fof(cls_msg_Osimps_I40_J_0_0,plain,
    ! [V_msg1_H,V_msg2_H,V_nat] :
      ( hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I40_J_0]) ).

cnf(cls_msg_Osimps_I49_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2),
    input ).

fof(cls_msg_Osimps_I49_J_0_0,plain,
    ! [V_msg1,V_msg2,V_msg_H,V_nat_H] :
      ( c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I49_J_0]) ).

cnf(cls_msg_Osimps_I35_J_0,axiom,
    c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat),
    input ).

fof(cls_msg_Osimps_I35_J_0_0,plain,
    ! [V_msg1_H,V_msg2_H,V_nat] :
      ( c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I35_J_0]) ).

cnf(cls_msg_Osimps_I10_J_0,axiom,
    c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H),
    input ).

fof(cls_msg_Osimps_I10_J_0_0,plain,
    ! [V_agent,V_nat_H] :
      ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I10_J_0]) ).

cnf(cls_msg_Osimps_I36_J_0,axiom,
    c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
    input ).

fof(cls_msg_Osimps_I36_J_0_0,plain,
    ! [V_msg_H,V_nat,V_nat_H] :
      ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I36_J_0]) ).

cnf(cls_msg_Osimps_I13_J_0,axiom,
    hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent),
    input ).

fof(cls_msg_Osimps_I13_J_0_0,plain,
    ! [V_agent,V_nat_H] :
      ( hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I13_J_0]) ).

cnf(cls_shrK__in__knows_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg),
    input ).

fof(cls_shrK__in__knows_0_0,plain,
    ! [V_A,V_evs] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_shrK__in__knows_0]) ).

cnf(cls_msg_Osimps_I19_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent),
    input ).

fof(cls_msg_Osimps_I19_J_0_0,plain,
    ! [V_agent,V_msg_H,V_nat_H] :
      ( c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I19_J_0]) ).

cnf(cls_msg_Osimps_I48_J_0,axiom,
    c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
    input ).

fof(cls_msg_Osimps_I48_J_0_0,plain,
    ! [V_msg1,V_msg2,V_msg_H,V_nat_H] :
      ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I48_J_0]) ).

cnf(cls_msg_Osimps_I34_J_0,axiom,
    c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
    input ).

fof(cls_msg_Osimps_I34_J_0_0,plain,
    ! [V_msg1_H,V_msg2_H,V_nat] :
      ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I34_J_0]) ).

cnf(cls_msg_Osimps_I18_J_0,axiom,
    c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
    input ).

fof(cls_msg_Osimps_I18_J_0_0,plain,
    ! [V_agent,V_msg_H,V_nat_H] :
      ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I18_J_0]) ).

cnf(cls_msg_Osimps_I16_J_0,axiom,
    c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
    input ).

fof(cls_msg_Osimps_I16_J_0_0,plain,
    ! [V_agent,V_msg1_H,V_msg2_H] :
      ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I16_J_0]) ).

cnf(cls_msg_Osimps_I11_J_0,axiom,
    c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent),
    input ).

fof(cls_msg_Osimps_I11_J_0_0,plain,
    ! [V_agent,V_nat_H] :
      ( c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I11_J_0]) ).

cnf(cls_msg_Osimps_I17_J_0,axiom,
    c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent),
    input ).

fof(cls_msg_Osimps_I17_J_0_0,plain,
    ! [V_agent,V_msg1_H,V_msg2_H] :
      ( c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I17_J_0]) ).

cnf(cls_analz__parts_0,axiom,
    c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
    input ).

fof(cls_analz__parts_0_0,plain,
    ! [V_H] :
      ( c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__parts_0]) ).

cnf(cls_msg_Osimps_I30_J_0,axiom,
    c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H),
    input ).

fof(cls_msg_Osimps_I30_J_0_0,plain,
    ! [V_nat,V_nat_H] :
      ( c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I30_J_0]) ).

cnf(cls_parts__idem_0,axiom,
    c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
    input ).

fof(cls_parts__idem_0_0,plain,
    ! [V_H] :
      ( c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__idem_0]) ).

cnf(cls_msg_Osimps_I43_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat),
    input ).

fof(cls_msg_Osimps_I43_J_0_0,plain,
    ! [V_msg_H,V_nat,V_nat_H] :
      ( c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I43_J_0]) ).

cnf(cls_Spy__in__bad_0,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    input ).

fof(cls_Spy__in__bad_0_0,plain,
    ( c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)
    | $false ),
    inference(orientation,[status(thm)],[cls_Spy__in__bad_0]) ).

cnf(cls_msg_Osimps_I31_J_0,axiom,
    hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat),
    input ).

fof(cls_msg_Osimps_I31_J_0_0,plain,
    ! [V_nat,V_nat_H] :
      ( hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I31_J_0]) ).

cnf(cls_msg_Osimps_I12_J_0,axiom,
    c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H),
    input ).

fof(cls_msg_Osimps_I12_J_0_0,plain,
    ! [V_agent,V_nat_H] :
      ( c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I12_J_0]) ).

cnf(cls_msg_Osimps_I37_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat),
    input ).

fof(cls_msg_Osimps_I37_J_0_0,plain,
    ! [V_msg_H,V_nat,V_nat_H] :
      ( c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I37_J_0]) ).

cnf(cls_analz__idem_0,axiom,
    c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H),
    input ).

fof(cls_analz__idem_0_0,plain,
    ! [V_H] :
      ( c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__idem_0]) ).

cnf(cls_parts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
    input ).

fof(cls_parts__analz_0_0,plain,
    ! [V_H] :
      ( c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__analz_0]) ).

cnf(cls_analz__spies__pubK_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg),
    input ).

fof(cls_analz__spies__pubK_0_0,plain,
    ! [V_A,V_b,V_evs] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__spies__pubK_0]) ).

cnf(cls_spies__pubK_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg),
    input ).

fof(cls_spies__pubK_0_0,plain,
    ! [V_A,V_b,V_evs] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_spies__pubK_0]) ).

cnf(cls_Nonce__notin__used__empty_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    input ).

fof(cls_Nonce__notin__used__empty_0_0,plain,
    ! [V_N] :
      ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nonce__notin__used__empty_0]) ).

cnf(cls_Crypt__notin__used__empty_0,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    input ).

fof(cls_Crypt__notin__used__empty_0_0,plain,
    ! [V_K,V_X] :
      ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Crypt__notin__used__empty_0]) ).

cnf(cls_neq__shrK_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg),
    input ).

fof(cls_neq__shrK_0_0,plain,
    ! [V_B,V_evs] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_neq__shrK_0]) ).

cnf(cls_shrK__in__used_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
    input ).

fof(cls_shrK__in__used_0_0,plain,
    ! [V_A,V_evs] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_shrK__in__used_0]) ).

cnf(cls_shrK__in__initState_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg),
    input ).

fof(cls_shrK__in__initState_0_0,plain,
    ! [V_A] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_shrK__in__initState_0]) ).

cnf(cls_Nonce__Key__image__eq_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_Nonce__Key__image__eq_0_0,plain,
    ! [V_A,V_x] :
      ( ~ c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nonce__Key__image__eq_0]) ).

cnf(cls_Nonce__notin__initState_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
    input ).

fof(cls_Nonce__notin__initState_0_0,plain,
    ! [V_B,V_N] :
      ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nonce__notin__initState_0]) ).

cnf(cls_Crypt__notin__image__Key_0,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_Crypt__notin__image__Key_0_0,plain,
    ! [V_A,V_K,V_X] :
      ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Crypt__notin__image__Key_0]) ).

cnf(cls_publicKey__neq__privateKey_0,axiom,
    hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),
    input ).

fof(cls_publicKey__neq__privateKey_0_0,plain,
    ! [V_A,V_A_H,V_b,V_c] :
      ( hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))
      | $false ),
    inference(orientation,[status(thm)],[cls_publicKey__neq__privateKey_0]) ).

cnf(cls_shrK__neq__priK_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A),
    input ).

fof(cls_shrK__neq__priK_0_0,plain,
    ! [V_A,V_C,V_b] :
      ( hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_shrK__neq__priK_0]) ).

cnf(cls_used__Gets_0,axiom,
    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),
    input ).

fof(cls_used__Gets_0_0,plain,
    ! [V_A,V_X,V_evs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_used__Gets_0]) ).

cnf(cls_ns__shared_ONil_0,axiom,
    c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    input ).

fof(cls_ns__shared_ONil_0_0,plain,
    ( c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | $false ),
    inference(orientation,[status(thm)],[cls_ns__shared_ONil_0]) ).

cnf(cls_priK__neq__shrK_0,axiom,
    hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)),
    input ).

fof(cls_priK__neq__shrK_0_0,plain,
    ! [V_A,V_C,V_b] :
      ( hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C))
      | $false ),
    inference(orientation,[status(thm)],[cls_priK__neq__shrK_0]) ).

cnf(cls_event_Osimps_I9_J_0,axiom,
    c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
    input ).

fof(cls_event_Osimps_I9_J_0_0,plain,
    ! [V_agent,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg)
      | $false ),
    inference(orientation,[status(thm)],[cls_event_Osimps_I9_J_0]) ).

cnf(cls_invKey_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K,
    input ).

fof(cls_invKey_0_0,plain,
    ! [V_K] :
      ( hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K
      | $false ),
    inference(orientation,[status(thm)],[cls_invKey_0]) ).

cnf(cls_event_Osimps_I8_J_0,axiom,
    c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
    input ).

fof(cls_event_Osimps_I8_J_0_0,plain,
    ! [V_agent,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_event_Osimps_I8_J_0]) ).

cnf(cls_privateKey__neq__publicKey_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H),
    input ).

fof(cls_privateKey__neq__publicKey_0_0,plain,
    ! [V_A,V_A_H,V_b,V_c] :
      ( hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_privateKey__neq__publicKey_0]) ).

cnf(cls_priK__in__initState_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg),
    input ).

fof(cls_priK__in__initState_0_0,plain,
    ! [V_A,V_b] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_priK__in__initState_0]) ).

cnf(cls_synth__idem_0,axiom,
    c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H),
    input ).

fof(cls_synth__idem_0_0,plain,
    ! [V_H] :
      ( c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_synth__idem_0]) ).

cnf(cls_not__Cons__self2_0,axiom,
    c_List_Olist_OCons(V_x,V_t,T_a) != V_t,
    input ).

fof(cls_not__Cons__self2_0_0,plain,
    ! [T_a,V_t,V_x] :
      ( c_List_Olist_OCons(V_x,V_t,T_a) != V_t
      | $false ),
    inference(orientation,[status(thm)],[cls_not__Cons__self2_0]) ).

cnf(cls_not__Cons__self_0,axiom,
    V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
    input ).

fof(cls_not__Cons__self_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( V_xs != c_List_Olist_OCons(V_x,V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__Cons__self_0]) ).

cnf(cls_privateKey__into__used_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg),
    input ).

fof(cls_privateKey__into__used_0_0,plain,
    ! [V_A,V_b,V_evs] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_privateKey__into__used_0]) ).

cnf(cls_list_Osimps_I2_J_0,axiom,
    c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
    input ).

fof(cls_list_Osimps_I2_J_0_0,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_list_Osimps_I2_J_0]) ).

cnf(cls_neq__Nil__conv_1,axiom,
    c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a),
    input ).

fof(cls_neq__Nil__conv_1_0,plain,
    ! [T_a,V_x,V_xa] :
      ( c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_neq__Nil__conv_1]) ).

cnf(cls_list_Osimps_I3_J_0,axiom,
    c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a),
    input ).

fof(cls_list_Osimps_I3_J_0_0,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_list_Osimps_I3_J_0]) ).

cnf(cls_publicKey__into__used_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
    input ).

fof(cls_publicKey__into__used_0_0,plain,
    ! [V_A,V_b,V_evs] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_publicKey__into__used_0]) ).

cnf(cls_publicKey__in__initState_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg),
    input ).

fof(cls_publicKey__in__initState_0_0,plain,
    ! [V_A,V_B,V_b] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_publicKey__in__initState_0]) ).

cnf(cls_agent_Osimps_I4_J_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    input ).

fof(cls_agent_Osimps_I4_J_0_0,plain,
    ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy
    | $false ),
    inference(orientation,[status(thm)],[cls_agent_Osimps_I4_J_0]) ).

cnf(cls_agent_Osimps_I5_J_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    input ).

fof(cls_agent_Osimps_I5_J_0_0,plain,
    ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer
    | $false ),
    inference(orientation,[status(thm)],[cls_agent_Osimps_I5_J_0]) ).

cnf(cls_knows__Spy__Gets_0,axiom,
    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),
    input ).

fof(cls_knows__Spy__Gets_0_0,plain,
    ! [V_A,V_X,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)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__Spy__Gets_0]) ).

cnf(cls_event_Osimps_I4_J_0,axiom,
    c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H),
    input ).

fof(cls_event_Osimps_I4_J_0_0,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_event_Osimps_I4_J_0]) ).

cnf(cls_event_Osimps_I6_J_0,axiom,
    c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
    input ).

fof(cls_event_Osimps_I6_J_0_0,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_event_Osimps_I6_J_0]) ).

cnf(cls_event_Osimps_I5_J_0,axiom,
    c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
    input ).

fof(cls_event_Osimps_I5_J_0_0,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)
      | $false ),
    inference(orientation,[status(thm)],[cls_event_Osimps_I5_J_0]) ).

cnf(cls_event_Osimps_I7_J_0,axiom,
    c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
    input ).

fof(cls_event_Osimps_I7_J_0_0,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)
      | $false ),
    inference(orientation,[status(thm)],[cls_event_Osimps_I7_J_0]) ).

cnf(cls_pubK__neq__shrK_0,axiom,
    hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C),
    input ).

fof(cls_pubK__neq__shrK_0_0,plain,
    ! [V_A,V_C,V_b] :
      ( hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C)
      | $false ),
    inference(orientation,[status(thm)],[cls_pubK__neq__shrK_0]) ).

cnf(cls_shrK__neq__pubK_0,axiom,
    hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A),
    input ).

fof(cls_shrK__neq__pubK_0_0,plain,
    ! [V_A,V_C,V_b] :
      ( hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_shrK__neq__pubK_0]) ).

cnf(cls_invKey__shrK_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A),
    input ).

fof(cls_invKey__shrK_0_0,plain,
    ! [V_A] :
      ( hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_invKey__shrK_0]) ).

cnf(cls_ns__sharedp_ONil_0,axiom,
    c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
    input ).

fof(cls_ns__sharedp_ONil_0_0,plain,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))
    | $false ),
    inference(orientation,[status(thm)],[cls_ns__sharedp_ONil_0]) ).

cnf(cls_parts__image__Key_0,axiom,
    c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg),
    input ).

fof(cls_parts__image__Key_0_0,plain,
    ! [V_N] :
      ( c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__image__Key_0]) ).

cnf(cls_synth_OAgent_0,axiom,
    c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg),
    input ).

fof(cls_synth_OAgent_0_0,plain,
    ! [V_H,V_agt] :
      ( c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_synth_OAgent_0]) ).

cnf(cls_Agent__synth_0,axiom,
    c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg),
    input ).

fof(cls_Agent__synth_0_0,plain,
    ! [V_A,V_H] :
      ( c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Agent__synth_0]) ).

cnf(cls_analz__image__Key_0,axiom,
    c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg),
    input ).

fof(cls_analz__image__Key_0_0,plain,
    ! [V_N] :
      ( c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__image__Key_0]) ).

cnf(cls_Server__not__bad_0,axiom,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    input ).

fof(cls_Server__not__bad_0_0,plain,
    ( ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)
    | $false ),
    inference(orientation,[status(thm)],[cls_Server__not__bad_0]) ).

cnf(cls_knows__Nil_0,axiom,
    c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A),
    input ).

fof(cls_knows__Nil_0_0,plain,
    ! [V_A] :
      ( c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__Nil_0]) ).

cnf(cls_Crypt__notin__initState_0,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
    input ).

fof(cls_Crypt__notin__initState_0_0,plain,
    ! [V_B,V_K,V_X] :
      ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Crypt__notin__initState_0]) ).

cnf(cls_spies__Gets__rev_0,axiom,
    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),
    input ).

fof(cls_spies__Gets__rev_0_0,plain,
    ! [V_A,V_X,V_evs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_spies__Gets__rev_0]) ).

cnf(cls_Nil__is__append__conv_2,axiom,
    c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a),
    input ).

fof(cls_Nil__is__append__conv_2_0,plain,
    ! [T_a] :
      ( c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nil__is__append__conv_2]) ).

cnf(cls_append__Nil2_0,axiom,
    c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs,
    input ).

fof(cls_append__Nil2_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_append__Nil2_0]) ).

cnf(cls_eq__Nil__appendI_0,axiom,
    V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a),
    input ).

fof(cls_eq__Nil__appendI_0_0,plain,
    ! [T_a,V_x] :
      ( c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) = V_x
      | $false ),
    inference(orientation,[status(thm)],[cls_eq__Nil__appendI_0]) ).

cnf(cls_self__append__conv_1,axiom,
    V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),
    input ).

fof(cls_self__append__conv_1_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_self__append__conv_1]) ).

cnf(cls_append__Nil_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys,
    input ).

fof(cls_append__Nil_0_0,plain,
    ! [T_a,V_ys] :
      ( c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys
      | $false ),
    inference(orientation,[status(thm)],[cls_append__Nil_0]) ).

cnf(cls_self__append__conv2_1,axiom,
    V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a),
    input ).

fof(cls_self__append__conv2_1_0,plain,
    ! [T_a,V_ys] :
      ( c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys
      | $false ),
    inference(orientation,[status(thm)],[cls_self__append__conv2_1]) ).

cnf(cls_append__is__Nil__conv_2,axiom,
    c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
    input ).

fof(cls_append__is__Nil__conv_2_0,plain,
    ! [T_a] :
      ( c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__is__Nil__conv_2]) ).

cnf(cls_insertCI_1,axiom,
    c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a),
    input ).

fof(cls_insertCI_1_0,plain,
    ! [T_a,V_B,V_x] :
      ( c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_insertCI_1]) ).

cnf(cls_insertI1_0,axiom,
    c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a),
    input ).

fof(cls_insertI1_0_0,plain,
    ! [T_a,V_B,V_a] :
      ( c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_insertI1_0]) ).

cnf(cls_insert__iff_1,axiom,
    c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a),
    input ).

fof(cls_insert__iff_1_0,plain,
    ! [T_a,V_A,V_x] :
      ( c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__iff_1]) ).

cnf(cls_UNIV__I_0,axiom,
    c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a),
    input ).

fof(cls_UNIV__I_0_0,plain,
    ! [T_a,V_x] :
      ( c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_UNIV__I_0]) ).

cnf(cls_shrK__notin__image__publicKey_0,axiom,
    ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat),
    input ).

fof(cls_shrK__notin__image__publicKey_0_0,plain,
    ! [V_AA,V_b,V_x] :
      ( ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_shrK__notin__image__publicKey_0]) ).

cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
    c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) = c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a),
    input ).

fof(cls_analz__image__freshK__simps_I56_J_0_0,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) = c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__image__freshK__simps_I56_J_0]) ).

cnf(cls_not__symKeys__pubK_0,axiom,
    ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat),
    input ).

fof(cls_not__symKeys__pubK_0_0,plain,
    ! [V_A,V_b] :
      ( ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__symKeys__pubK_0]) ).

cnf(cls_Cons__eq__appendI_0,axiom,
    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),
    input ).

fof(cls_Cons__eq__appendI_0_0,plain,
    ! [T_a,V_x,V_xs1,V_zs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Cons__eq__appendI_0]) ).

cnf(cls_Cons__eq__append__conv_5,axiom,
    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),
    input ).

fof(cls_Cons__eq__append__conv_5_0,plain,
    ! [T_a,V_x,V_xa,V_zs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Cons__eq__append__conv_5]) ).

cnf(cls_append__Cons_0,axiom,
    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),
    input ).

fof(cls_append__Cons_0_0,plain,
    ! [T_a,V_x,V_xs,V_ys] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__Cons_0]) ).

cnf(cls_append__eq__Cons__conv_5,axiom,
    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),
    input ).

fof(cls_append__eq__Cons__conv_5_0,plain,
    ! [T_a,V_x,V_xa,V_zs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__Cons__conv_5]) ).

cnf(cls_insert__commute_0,axiom,
    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),
    input ).

fof(cls_insert__commute_0_0,plain,
    ! [T_a,V_A,V_x,V_y] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__commute_0]) ).

cnf(cls_publicKey__notin__image__shrK_0,axiom,
    ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat),
    input ).

fof(cls_publicKey__notin__image__shrK_0_0,plain,
    ! [V_AA,V_b,V_x] :
      ( ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_publicKey__notin__image__shrK_0]) ).

cnf(cls_privateKey__notin__image__publicKey_0,axiom,
    ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat),
    input ).

fof(cls_privateKey__notin__image__publicKey_0_0,plain,
    ! [V_AA,V_b,V_c,V_x] :
      ( ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_privateKey__notin__image__publicKey_0]) ).

cnf(cls_insert__absorb2_0,axiom,
    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),
    input ).

fof(cls_insert__absorb2_0_0,plain,
    ! [T_a,V_A,V_x] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__absorb2_0]) ).

cnf(cls_top1I_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)),
    input ).

fof(cls_top1I_0_0,plain,
    ! [T_a,V_x] :
      ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_top1I_0]) ).

cnf(cls_image__insert_0,axiom,
    c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a),
    input ).

fof(cls_image__insert_0_0,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_image__insert_0]) ).

cnf(cls_insert__code_1,axiom,
    hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
    input ).

fof(cls_insert__code_1_0,plain,
    ! [T_a,V_A,V_x] :
      ( hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__code_1]) ).

cnf(cls_not__symKeys__priK_0,axiom,
    ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat),
    input ).

fof(cls_not__symKeys__priK_0_0,plain,
    ! [V_A,V_b] :
      ( ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__symKeys__priK_0]) ).

cnf(cls_append__assoc_0,axiom,
    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),
    input ).

fof(cls_append__assoc_0_0,plain,
    ! [T_a,V_xs,V_ys,V_zs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__assoc_0]) ).

cnf(cls_append__eq__appendI_0,axiom,
    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),
    input ).

fof(cls_append__eq__appendI_0_0,plain,
    ! [T_a,V_us,V_xs,V_xs1] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__appendI_0]) ).

cnf(cls_append__eq__append__conv2_4,axiom,
    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),
    input ).

fof(cls_append__eq__append__conv2_4_0,plain,
    ! [T_a,V_x,V_ys,V_zs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__append__conv2_4]) ).

cnf(cls_append__eq__append__conv2_5,axiom,
    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),
    input ).

fof(cls_append__eq__append__conv2_5_0,plain,
    ! [T_a,V_ts,V_x,V_xs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__append__conv2_5]) ).

cnf(cls_sym__shrK_0,axiom,
    c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat),
    input ).

fof(cls_sym__shrK_0_0,plain,
    ! [V_X] :
      ( c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_sym__shrK_0]) ).

cnf(cls_privateKey__notin__image__shrK_0,axiom,
    ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat),
    input ).

fof(cls_privateKey__notin__image__shrK_0_0,plain,
    ! [V_AA,V_b,V_x] :
      ( ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_privateKey__notin__image__shrK_0]) ).

cnf(cls_rangeI_0,axiom,
    c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a),
    input ).

fof(cls_rangeI_0_0,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_rangeI_0]) ).

cnf(cls_Cons__eq__append__conv_4,axiom,
    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),
    input ).

fof(cls_Cons__eq__append__conv_4_0,plain,
    ! [T_a,V_x,V_xs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Cons__eq__append__conv_4]) ).

cnf(cls_append__eq__Cons__conv_4,axiom,
    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),
    input ).

fof(cls_append__eq__Cons__conv_4_0,plain,
    ! [T_a,V_x,V_xs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__Cons__conv_4]) ).

cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
    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),
    input ).

fof(cls_List_Oset_Osimps_I2_J_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oset_Osimps_I2_J_0]) ).

cnf(cls_parts__insert__MPair_0,axiom,
    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),
    input ).

fof(cls_parts__insert__MPair_0_0,plain,
    ! [V_H,V_X,V_Y] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert__MPair_0]) ).

cnf(cls_pushes_I12_J_0,axiom,
    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),
    input ).

fof(cls_pushes_I12_J_0_0,plain,
    ! [V_A,V_K,V_X,V_X_H,V_Y] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I12_J_0]) ).

cnf(cls_pushes_I5_J_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_pushes_I5_J_0_0,plain,
    ! [V_A,V_K,V_X,V_Y] :
      ( c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I5_J_0]) ).

cnf(cls_parts__insert__Crypt_0,axiom,
    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),
    input ).

fof(cls_parts__insert__Crypt_0_0,plain,
    ! [V_H,V_K,V_X] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert__Crypt_0]) ).

cnf(cls_analz__insert__MPair_0,axiom,
    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),
    input ).

fof(cls_analz__insert__MPair_0_0,plain,
    ! [V_H,V_X,V_Y] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__insert__MPair_0]) ).

cnf(cls_parts__insert__Key_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg),
    input ).

fof(cls_parts__insert__Key_0_0,plain,
    ! [V_H,V_K] :
      ( c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert__Key_0]) ).

cnf(cls_pushes_I6_J_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_pushes_I6_J_0_0,plain,
    ! [V_A,V_K,V_K_H,V_X] :
      ( c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I6_J_0]) ).

cnf(cls_parts__insert__Agent_0,axiom,
    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),
    input ).

fof(cls_parts__insert__Agent_0_0,plain,
    ! [V_H,V_agt] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert__Agent_0]) ).

cnf(cls_pushes_I8_J_0,axiom,
    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),
    input ).

fof(cls_pushes_I8_J_0_0,plain,
    ! [V_A,V_C,V_K,V_X] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I8_J_0]) ).

cnf(cls_parts__insert__Nonce_0,axiom,
    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),
    input ).

fof(cls_parts__insert__Nonce_0_0,plain,
    ! [V_H,V_N] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert__Nonce_0]) ).

cnf(cls_pushes_I1_J_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_pushes_I1_J_0_0,plain,
    ! [V_A,V_C,V_K] :
      ( c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I1_J_0]) ).

cnf(cls_analz__insert__Agent_0,axiom,
    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),
    input ).

fof(cls_analz__insert__Agent_0_0,plain,
    ! [V_H,V_agt] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__insert__Agent_0]) ).

cnf(cls_pushes_I9_J_0,axiom,
    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),
    input ).

fof(cls_pushes_I9_J_0_0,plain,
    ! [V_A,V_K,V_N,V_X] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I9_J_0]) ).

cnf(cls_pushes_I2_J_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_pushes_I2_J_0_0,plain,
    ! [V_A,V_K,V_N] :
      ( c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I2_J_0]) ).

cnf(cls_analz__insert__Nonce_0,axiom,
    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),
    input ).

fof(cls_analz__insert__Nonce_0_0,plain,
    ! [V_H,V_N] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__insert__Nonce_0]) ).

cnf(cls_spies__Says__rev_0,axiom,
    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),
    input ).

fof(cls_spies__Says__rev_0_0,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_spies__Says__rev_0]) ).

cnf(cls_in__set__conv__decomp_1,axiom,
    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),
    input ).

fof(cls_in__set__conv__decomp_1_0,plain,
    ! [T_a,V_x,V_xa,V_xb] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_in__set__conv__decomp_1]) ).

cnf(cls_knows__Says_0,axiom,
    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),
    input ).

fof(cls_knows__Says_0_0,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__Says_0]) ).

cnf(cls_knows__Notes_0,axiom,
    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),
    input ).

fof(cls_knows__Notes_0_0,plain,
    ! [V_A,V_X,V_evs] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__Notes_0]) ).

cnf(cls_parts__knows__Spy__subset__used_0,axiom,
    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)),
    input ).

fof(cls_parts__knows__Spy__subset__used_0_0,plain,
    ! [V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__knows__Spy__subset__used_0]) ).

cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
    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)),
    input ).

fof(cls_knows__Spy__subset__knows__Spy__Says_0_0,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__Spy__subset__knows__Spy__Says_0]) ).

cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
    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)),
    input ).

fof(cls_knows__Spy__subset__knows__Spy__Notes_0_0,plain,
    ! [V_A,V_X,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__Spy__subset__knows__Spy__Notes_0]) ).

cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
    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)),
    input ).

fof(cls_knows__Spy__subset__knows__Spy__Gets_0_0,plain,
    ! [V_A,V_X,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__Spy__subset__knows__Spy__Gets_0]) ).

cnf(cls_publicKey__notin__image__privateKey_0,axiom,
    ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat),
    input ).

fof(cls_publicKey__notin__image__privateKey_0_0,plain,
    ! [V_A,V_AS,V_b,V_c] :
      ( ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_publicKey__notin__image__privateKey_0]) ).

cnf(cls_symKey__neq__priEK_0,axiom,
    ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)),c_Message_OsymKeys,tc_nat),
    input ).

fof(cls_symKey__neq__priEK_0_0,plain,
    ! [V_A] :
      ( ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)),c_Message_OsymKeys,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_symKey__neq__priEK_0]) ).

cnf(cls_shrK__notin__image__privateKey_0,axiom,
    ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat),
    input ).

fof(cls_shrK__notin__image__privateKey_0_0,plain,
    ! [V_AA,V_b,V_x] :
      ( ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_shrK__notin__image__privateKey_0]) ).

cnf(cls_knows__Spy__Says_0,axiom,
    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),
    input ).

fof(cls_knows__Spy__Says_0_0,plain,
    ! [V_A,V_B,V_X,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)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__Spy__Says_0]) ).

cnf(cls_knows__subset__knows__Gets_0,axiom,
    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)),
    input ).

fof(cls_knows__subset__knows__Gets_0_0,plain,
    ! [V_A,V_A_H,V_X,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__subset__knows__Gets_0]) ).

cnf(cls_knows__subset__knows__Notes_0,axiom,
    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)),
    input ).

fof(cls_knows__subset__knows__Notes_0_0,plain,
    ! [V_A,V_A_H,V_X,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__subset__knows__Notes_0]) ).

cnf(cls_priEK__noteq__shrK_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)) != hAPP(c_Public_OshrK,V_B),
    input ).

fof(cls_priEK__noteq__shrK_0_0,plain,
    ! [V_A,V_B] :
      ( hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)) != hAPP(c_Public_OshrK,V_B)
      | $false ),
    inference(orientation,[status(thm)],[cls_priEK__noteq__shrK_0]) ).

cnf(cls_knows__subset__knows__Says_0,axiom,
    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)),
    input ).

fof(cls_knows__subset__knows__Says_0_0,plain,
    ! [V_A,V_A_H,V_B,V_X,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__subset__knows__Says_0]) ).

cnf(cls_Hash__notin__image__Key_0,axiom,
    ~ c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_Hash__notin__image__Key_0_0,plain,
    ! [V_A,V_X] :
      ( ~ c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Hash__notin__image__Key_0]) ).

cnf(cls_analz__insert__Crypt__subset_0,axiom,
    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)),
    input ).

fof(cls_analz__insert__Crypt__subset_0_0,plain,
    ! [V_H,V_K,V_X] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__insert__Crypt__subset_0]) ).

cnf(cls_used__nil__subset_0,axiom,
    c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)),
    input ).

fof(cls_used__nil__subset_0_0,plain,
    ! [V_evs] :
      ( c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_used__nil__subset_0]) ).

cnf(cls_msg_Osimps_I33_J_0,axiom,
    c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat),
    input ).

fof(cls_msg_Osimps_I33_J_0_0,plain,
    ! [V_msg_H,V_nat] :
      ( c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I33_J_0]) ).

cnf(cls_msg_Osimps_I32_J_0,axiom,
    c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H),
    input ).

fof(cls_msg_Osimps_I32_J_0_0,plain,
    ! [V_msg_H,V_nat] :
      ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I32_J_0]) ).

cnf(cls_msg_Osimps_I14_J_0,axiom,
    c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H),
    input ).

fof(cls_msg_Osimps_I14_J_0_0,plain,
    ! [V_agent,V_msg_H] :
      ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I14_J_0]) ).

cnf(cls_msg_Osimps_I15_J_0,axiom,
    c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent),
    input ).

fof(cls_msg_Osimps_I15_J_0_0,plain,
    ! [V_agent,V_msg_H] :
      ( c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I15_J_0]) ).

cnf(cls_analz__analz__Un_0,axiom,
    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))),
    input ).

fof(cls_analz__analz__Un_0_0,plain,
    ! [V_G,V_H] :
      ( 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)))
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__analz__Un_0]) ).

cnf(cls_analz__increasing_0,axiom,
    c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
    input ).

fof(cls_analz__increasing_0_0,plain,
    ! [V_H] :
      ( c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__increasing_0]) ).

cnf(cls_msg_Osimps_I38_J_0,axiom,
    hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OHash(V_msg_H),
    input ).

fof(cls_msg_Osimps_I38_J_0_0,plain,
    ! [V_msg_H,V_nat] :
      ( hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OHash(V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I38_J_0]) ).

cnf(cls_msg_Osimps_I39_J_0,axiom,
    c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat),
    input ).

fof(cls_msg_Osimps_I39_J_0_0,plain,
    ! [V_msg_H,V_nat] :
      ( c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I39_J_0]) ).

cnf(cls_msg_Osimps_I47_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg),
    input ).

fof(cls_msg_Osimps_I47_J_0_0,plain,
    ! [V_msg,V_msg_H,V_nat_H] :
      ( c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I47_J_0]) ).

cnf(cls_msg_Osimps_I46_J_0,axiom,
    c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
    input ).

fof(cls_msg_Osimps_I46_J_0_0,plain,
    ! [V_msg,V_msg_H,V_nat_H] :
      ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I46_J_0]) ).

cnf(cls_parts__increasing_0,axiom,
    c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
    input ).

fof(cls_parts__increasing_0_0,plain,
    ! [V_H] :
      ( c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__increasing_0]) ).

cnf(cls_parts__Un_0,axiom,
    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)),
    input ).

fof(cls_parts__Un_0_0,plain,
    ! [V_G,V_H] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__Un_0]) ).

cnf(cls_msg_Osimps_I44_J_0,axiom,
    c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
    input ).

fof(cls_msg_Osimps_I44_J_0_0,plain,
    ! [V_msg,V_msg1_H,V_msg2_H] :
      ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I44_J_0]) ).

cnf(cls_msg_Osimps_I45_J_0,axiom,
    c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg),
    input ).

fof(cls_msg_Osimps_I45_J_0_0,plain,
    ! [V_msg,V_msg1_H,V_msg2_H] :
      ( c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I45_J_0]) ).

cnf(cls_double__complement_0,axiom,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
    input ).

fof(cls_double__complement_0_0,plain,
    ! [T_a,V_A] :
      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_double__complement_0]) ).

cnf(cls_keysFor__insert__MPair_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_keysFor__insert__MPair_0_0,plain,
    ! [V_H,V_X,V_Y] :
      ( c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_keysFor__insert__MPair_0]) ).

cnf(cls_analz__insert__Hash_0,axiom,
    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),
    input ).

fof(cls_analz__insert__Hash_0_0,plain,
    ! [V_H,V_X] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__insert__Hash_0]) ).

cnf(cls_Un__left__absorb_0,axiom,
    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)),
    input ).

fof(cls_Un__left__absorb_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__left__absorb_0]) ).

cnf(cls_Un__commute_0,axiom,
    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)),
    input ).

fof(cls_Un__commute_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__commute_0]) ).

cnf(cls_keysFor__insert__Agent_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_keysFor__insert__Agent_0_0,plain,
    ! [V_A,V_H] :
      ( c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_keysFor__insert__Agent_0]) ).

cnf(cls_Compl__partition_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Compl__partition_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Compl__partition_0]) ).

cnf(cls_Compl__partition2_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Compl__partition2_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Compl__partition2_0]) ).

cnf(cls_Un__upper1_0,axiom,
    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)),
    input ).

fof(cls_Un__upper1_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__upper1_0]) ).

cnf(cls_Un__upper2_0,axiom,
    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)),
    input ).

fof(cls_Un__upper2_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__upper2_0]) ).

cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
    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)),
    input ).

fof(cls_analz__image__freshK__simps_I65_J_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__image__freshK__simps_I65_J_0]) ).

cnf(cls_Un__assoc_0,axiom,
    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)),
    input ).

fof(cls_Un__assoc_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__assoc_0]) ).

cnf(cls_Un__left__commute_0,axiom,
    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)),
    input ).

fof(cls_Un__left__commute_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__left__commute_0]) ).

cnf(cls_parts__Un__subset1_0,axiom,
    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)),
    input ).

fof(cls_parts__Un__subset1_0_0,plain,
    ! [V_G,V_H] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__Un__subset1_0]) ).

cnf(cls_analz__Un_0,axiom,
    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)),
    input ).

fof(cls_analz__Un_0_0,plain,
    ! [V_G,V_H] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__Un_0]) ).

cnf(cls_Un__absorb_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A,
    input ).

fof(cls_Un__absorb_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__absorb_0]) ).

cnf(cls_keysFor__insert__Nonce_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_keysFor__insert__Nonce_0_0,plain,
    ! [V_H,V_N] :
      ( c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_keysFor__insert__Nonce_0]) ).

cnf(cls_initState__Spy_0,axiom,
    c_Event_OinitState(c_Message_Oagent_OSpy) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
    input ).

fof(cls_initState__Spy_0_0,plain,
    ( c_Event_OinitState(c_Message_Oagent_OSpy) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
    | $false ),
    inference(orientation,[status(thm)],[cls_initState__Spy_0]) ).

cnf(cls_initState__subset__knows_0,axiom,
    c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)),
    input ).

fof(cls_initState__subset__knows_0_0,plain,
    ! [V_A,V_evs] :
      ( c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_initState__subset__knows_0]) ).

cnf(cls_knows__subset__knows__Cons_0,axiom,
    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)),
    input ).

fof(cls_knows__subset__knows__Cons_0_0,plain,
    ! [V_A,V_e,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_knows__subset__knows__Cons_0]) ).

cnf(cls_analz__synth__Un_0,axiom,
    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)),
    input ).

fof(cls_analz__synth__Un_0_0,plain,
    ! [V_G,V_H] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__synth__Un_0]) ).

cnf(cls_analz__synth_0,axiom,
    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)),
    input ).

fof(cls_analz__synth_0_0,plain,
    ! [V_H] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__synth_0]) ).

cnf(cls_parts__synth_0,axiom,
    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)),
    input ).

fof(cls_parts__synth_0_0,plain,
    ! [V_H] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__synth_0]) ).

cnf(cls_analz__subset__parts_0,axiom,
    c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
    input ).

fof(cls_analz__subset__parts_0_0,plain,
    ! [V_H] :
      ( c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__subset__parts_0]) ).

cnf(cls_set__subset__Cons_0,axiom,
    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)),
    input ).

fof(cls_set__subset__Cons_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_set__subset__Cons_0]) ).

cnf(cls_analz__insert_0,axiom,
    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)),
    input ).

fof(cls_analz__insert_0_0,plain,
    ! [V_H,V_X] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__insert_0]) ).

cnf(cls_image__Un_0,axiom,
    c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__Un_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__Un_0]) ).

cnf(cls_keysFor__insert__Hash_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_keysFor__insert__Hash_0_0,plain,
    ! [V_H,V_X] :
      ( c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_keysFor__insert__Hash_0]) ).

cnf(cls_subset__refl_0,axiom,
    c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__refl_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__refl_0]) ).

cnf(cls_equalityE_0,axiom,
    c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_equalityE_0_0,plain,
    ! [T_a,V_x] :
      ( c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_equalityE_0]) ).

cnf(cls_synth__increasing_0,axiom,
    c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
    input ).

fof(cls_synth__increasing_0_0,plain,
    ! [V_H] :
      ( c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_synth__increasing_0]) ).

cnf(cls_subset__UNIV_0,axiom,
    c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__UNIV_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__UNIV_0]) ).

cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),
    input ).

fof(cls_analz__image__freshK__simps_I57_J_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_analz__image__freshK__simps_I57_J_0]) ).

cnf(cls_pushes_I4_J_0,axiom,
    c_Set_Oinsert(hAPP(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(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_pushes_I4_J_0_0,plain,
    ! [V_A,V_K,V_X] :
      ( c_Set_Oinsert(hAPP(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(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I4_J_0]) ).

cnf(cls_parts__insert__subset_0,axiom,
    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)),
    input ).

fof(cls_parts__insert__subset_0_0,plain,
    ! [V_H,V_X] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert__subset_0]) ).

cnf(cls_set__append_0,axiom,
    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)),
    input ).

fof(cls_set__append_0_0,plain,
    ! [T_a,V_xs,V_ys] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_set__append_0]) ).

cnf(cls_parts__insert__Hash_0,axiom,
    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),
    input ).

fof(cls_parts__insert__Hash_0_0,plain,
    ! [V_H,V_X] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert__Hash_0]) ).

cnf(cls_synth__Un_0,axiom,
    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)),
    input ).

fof(cls_synth__Un_0_0,plain,
    ! [V_G,V_H] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_synth__Un_0]) ).

cnf(cls_keysFor__insert__Key_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_keysFor__insert__Key_0_0,plain,
    ! [V_H,V_K] :
      ( c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_keysFor__insert__Key_0]) ).

cnf(cls_pushes_I11_J_0,axiom,
    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),
    input ).

fof(cls_pushes_I11_J_0_0,plain,
    ! [V_A,V_K,V_X,V_X_H] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I11_J_0]) ).

cnf(cls_synth__insert_0,axiom,
    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)),
    input ).

fof(cls_synth__insert_0_0,plain,
    ! [V_H,V_X] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_synth__insert_0]) ).

cnf(cls_subset__insertI_0,axiom,
    c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__insertI_0_0,plain,
    ! [T_a,V_B,V_a] :
      ( c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__insertI_0]) ).

cnf(cls_parts__Un__subset2_0,axiom,
    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)),
    input ).

fof(cls_parts__Un__subset2_0_0,plain,
    ! [V_G,V_H] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__Un__subset2_0]) ).

cnf(cls_Un__UNIV__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__UNIV__right_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__UNIV__right_0]) ).

cnf(cls_Un__UNIV__left_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__UNIV__left_0_0,plain,
    ! [T_a,V_B] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__UNIV__left_0]) ).

cnf(cls_Un__insert__right_0,axiom,
    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),
    input ).

fof(cls_Un__insert__right_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__insert__right_0]) ).

cnf(cls_Un__insert__left_0,axiom,
    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),
    input ).

fof(cls_Un__insert__left_0_0,plain,
    ! [T_a,V_B,V_C,V_a] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__insert__left_0]) ).

cnf(cls_initState__Server_0,axiom,
    c_Event_OinitState(c_Message_Oagent_OServer) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
    input ).

fof(cls_initState__Server_0_0,plain,
    ( c_Event_OinitState(c_Message_Oagent_OServer) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
    | $false ),
    inference(orientation,[status(thm)],[cls_initState__Server_0]) ).

cnf(cls_keymode_Osimps_I1_J_0,axiom,
    c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
    input ).

fof(cls_keymode_Osimps_I1_J_0_0,plain,
    ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption
    | $false ),
    inference(orientation,[status(thm)],[cls_keymode_Osimps_I1_J_0]) ).

cnf(cls_keymode_Osimps_I2_J_0,axiom,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
    input ).

fof(cls_keymode_Osimps_I2_J_0_0,plain,
    ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature
    | $false ),
    inference(orientation,[status(thm)],[cls_keymode_Osimps_I2_J_0]) ).

cnf(cls_parts__emptyE_0,axiom,
    ~ c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
    input ).

fof(cls_parts__emptyE_0_0,plain,
    ! [V_X] :
      ( ~ c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__emptyE_0]) ).

cnf(cls_set__empty2_1,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a),
    input ).

fof(cls_set__empty2_1_0,plain,
    ! [T_a] :
      ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_set__empty2_1]) ).

cnf(cls_set__empty_1,axiom,
    c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_set__empty_1_0,plain,
    ! [T_a] :
      ( c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_set__empty_1]) ).

cnf(cls_Un__empty_2,axiom,
    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)),
    input ).

fof(cls_Un__empty_2_0,plain,
    ! [T_a] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__empty_2]) ).

cnf(cls_singleton__iff_1,axiom,
    c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),
    input ).

fof(cls_singleton__iff_1_0,plain,
    ! [T_a,V_x] :
      ( c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_singleton__iff_1]) ).

cnf(cls_parts__insert_0,axiom,
    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)),
    input ).

fof(cls_parts__insert_0_0,plain,
    ! [V_H,V_X] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert_0]) ).

cnf(cls_Compl__empty__eq_0,axiom,
    c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Compl__empty__eq_0_0,plain,
    ! [T_a] :
      ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Compl__empty__eq_0]) ).

cnf(cls_empty__not__insert_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a),
    input ).

fof(cls_empty__not__insert_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__not__insert_0]) ).

cnf(cls_subset__empty_1,axiom,
    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)),
    input ).

fof(cls_subset__empty_1_0,plain,
    ! [T_a] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__empty_1]) ).

cnf(cls_parts__insert__knows__A_0,axiom,
    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)),
    input ).

fof(cls_parts__insert__knows__A_0_0,plain,
    ! [V_A,V_X,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert__knows__A_0]) ).

cnf(cls_UNIV__not__empty_0,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_UNIV__not__empty_0_0,plain,
    ! [T_a] :
      ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_UNIV__not__empty_0]) ).

cnf(cls_bot1E_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
    input ).

fof(cls_bot1E_0_0,plain,
    ! [T_a,V_x] :
      ( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_bot1E_0]) ).

cnf(cls_Compl__UNIV__eq_0,axiom,
    c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Compl__UNIV__eq_0_0,plain,
    ! [T_a] :
      ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Compl__UNIV__eq_0]) ).

cnf(cls_Un__empty__right_0,axiom,
    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,
    input ).

fof(cls_Un__empty__right_0_0,plain,
    ! [T_a,V_A] :
      ( 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
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__empty__right_0]) ).

cnf(cls_Un__empty__left_0,axiom,
    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,
    input ).

fof(cls_Un__empty__left_0_0,plain,
    ! [T_a,V_B] :
      ( 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
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__empty__left_0]) ).

cnf(cls_subset__Compl__self__eq_1,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__Compl__self__eq_1_0,plain,
    ! [T_a] :
      ( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__Compl__self__eq_1]) ).

cnf(cls_insert__not__empty_0,axiom,
    c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_insert__not__empty_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__not__empty_0]) ).

cnf(cls_empty__subsetI_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_empty__subsetI_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__subsetI_0]) ).

cnf(cls_parts__insert2_0,axiom,
    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)),
    input ).

fof(cls_parts__insert2_0_0,plain,
    ! [V_H,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)) = 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert2_0]) ).

cnf(cls_doubleton__eq__iff_4,axiom,
    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),
    input ).

fof(cls_doubleton__eq__iff_4_0,plain,
    ! [T_a,V_x,V_xa] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_doubleton__eq__iff_4]) ).

cnf(cls_image__empty_0,axiom,
    c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__empty_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__empty_0]) ).

cnf(cls_insert__is__Un_0,axiom,
    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)),
    input ).

fof(cls_insert__is__Un_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__is__Un_0]) ).

cnf(cls_empty__is__image_1,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a),
    input ).

fof(cls_empty__is__image_1_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__is__image_1]) ).

cnf(cls_ex__in__conv_0,axiom,
    ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
    input ).

fof(cls_ex__in__conv_0_0,plain,
    ! [T_a,V_x] :
      ( ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_ex__in__conv_0]) ).

cnf(cls_empty__iff_0,axiom,
    ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
    input ).

fof(cls_empty__iff_0_0,plain,
    ! [T_a,V_c] :
      ( ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__iff_0]) ).

cnf(cls_emptyE_0,axiom,
    ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
    input ).

fof(cls_emptyE_0_0,plain,
    ! [T_a,V_a] :
      ( ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_emptyE_0]) ).

cnf(cls_parts__empty_0,axiom,
    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)),
    input ).

fof(cls_parts__empty_0_0,plain,
    ( c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
    | $false ),
    inference(orientation,[status(thm)],[cls_parts__empty_0]) ).

cnf(cls_analz__empty_0,axiom,
    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)),
    input ).

fof(cls_analz__empty_0_0,plain,
    ( c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
    | $false ),
    inference(orientation,[status(thm)],[cls_analz__empty_0]) ).

cnf(cls_parts__insert__spies_0,axiom,
    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)),
    input ).

fof(cls_parts__insert__spies_0_0,plain,
    ! [V_X,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_parts__insert__spies_0]) ).

cnf(cls_used__Says_0,axiom,
    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)),
    input ).

fof(cls_used__Says_0_0,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_used__Says_0]) ).

cnf(cls_used__Notes_0,axiom,
    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)),
    input ).

fof(cls_used__Notes_0_0,plain,
    ! [V_A,V_X,V_evs] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_used__Notes_0]) ).

fof(def_lhs_atom1,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom1(V_evs,V_X,V_A)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom1(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_used__Notes_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom2(V_evs,V_X,V_B,V_A)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom2(V_evs,V_X,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_used__Says_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_evs,V_X] :
      ( lhs_atom3(V_evs,V_X)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [V_X,V_evs] :
      ( lhs_atom3(V_evs,V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__spies_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ( lhs_atom4
  <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__empty_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ( lhs_atom5
  <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__empty_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_a,T_a] :
      ( lhs_atom6(V_a,T_a)
    <=> ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [T_a,V_a] :
      ( lhs_atom6(V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_emptyE_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_c,T_a] :
      ( lhs_atom7(V_c,T_a)
    <=> ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [T_a,V_c] :
      ( lhs_atom7(V_c,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__iff_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_x,T_a] :
      ( lhs_atom8(V_x,T_a)
    <=> ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [T_a,V_x] :
      ( lhs_atom8(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ex__in__conv_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom9(V_f,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom9(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__is__image_1_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom10(V_a,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom10(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__is__Un_0_0,def_lhs_atom10]) ).

fof(to_be_clausified_10,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom9(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__empty_0_0,def_lhs_atom9]) ).

fof(def_lhs_atom11,axiom,
    ! [V_xa,V_x,T_a] :
      ( lhs_atom11(V_xa,V_x,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ! [T_a,V_x,V_xa] :
      ( lhs_atom11(V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_doubleton__eq__iff_4_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom12(V_Y,V_X,V_H)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom12(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert2_0_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [V_A,T_a] :
      ( lhs_atom13(V_A,T_a)
    <=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [T_a,V_A] :
      ( lhs_atom13(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__subsetI_0_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom14(V_a,V_A,T_a)
    <=> c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom14(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__not__empty_0_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [T_a] :
      ( lhs_atom15(T_a)
    <=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [T_a] :
      ( lhs_atom15(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__Compl__self__eq_1_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [V_B,T_a] :
      ( lhs_atom16(V_B,T_a)
    <=> 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 ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [T_a,V_B] :
      ( lhs_atom16(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty__left_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [V_A,T_a] :
      ( lhs_atom17(V_A,T_a)
    <=> 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 ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ! [T_a,V_A] :
      ( lhs_atom17(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty__right_0_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [T_a] :
      ( lhs_atom18(T_a)
    <=> c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ! [T_a] :
      ( lhs_atom18(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__UNIV__eq_0_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_x,T_a] :
      ( lhs_atom19(V_x,T_a)
    <=> ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ! [T_a,V_x] :
      ( lhs_atom19(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_bot1E_0_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [T_a] :
      ( lhs_atom20(T_a)
    <=> c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ! [T_a] :
      ( lhs_atom20(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UNIV__not__empty_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom21(V_evs,V_X,V_A)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom21(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__knows__A_0_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [T_a] :
      ( lhs_atom22(T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [T_a] :
      ( lhs_atom22(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__empty_1_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom23(V_a,V_A,T_a)
    <=> c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom23(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__not__insert_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [T_a] :
      ( lhs_atom24(T_a)
    <=> c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ! [T_a] :
      ( lhs_atom24(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__empty__eq_0_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [V_X,V_H] :
      ( lhs_atom25(V_X,V_H)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ! [V_H,V_X] :
      ( lhs_atom25(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert_0_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [V_x,T_a] :
      ( lhs_atom26(V_x,T_a)
    <=> c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ! [T_a,V_x] :
      ( lhs_atom26(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_singleton__iff_1_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [T_a] :
      ( lhs_atom27(T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [T_a] :
      ( lhs_atom27(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty_2_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [T_a] :
      ( lhs_atom28(T_a)
    <=> c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ! [T_a] :
      ( lhs_atom28(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_set__empty_1_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [T_a] :
      ( lhs_atom29(T_a)
    <=> c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ! [T_a] :
      ( lhs_atom29(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_set__empty2_1_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [V_X] :
      ( lhs_atom30(V_X)
    <=> ~ c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ! [V_X] :
      ( lhs_atom30(V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__emptyE_0_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ( lhs_atom31
  <=> c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ( lhs_atom31
    | $false ),
    inference(fold_definition,[status(thm)],[cls_keymode_Osimps_I2_J_0_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ( lhs_atom32
  <=> c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ( lhs_atom32
    | $false ),
    inference(fold_definition,[status(thm)],[cls_keymode_Osimps_I1_J_0_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ( lhs_atom33
  <=> c_Event_OinitState(c_Message_Oagent_OServer) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ( lhs_atom33
    | $false ),
    inference(fold_definition,[status(thm)],[cls_initState__Server_0_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [V_a,V_C,V_B,T_a] :
      ( lhs_atom34(V_a,V_C,V_B,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ! [T_a,V_B,V_C,V_a] :
      ( lhs_atom34(V_a,V_C,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__insert__left_0_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom35(V_a,V_B,V_A,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom35(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__insert__right_0_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_B,T_a] :
      ( lhs_atom36(V_B,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ! [T_a,V_B] :
      ( lhs_atom36(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__UNIV__left_0_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [V_A,T_a] :
      ( lhs_atom37(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ! [T_a,V_A] :
      ( lhs_atom37(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__UNIV__right_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [V_H,V_G] :
      ( lhs_atom38(V_H,V_G)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ! [V_G,V_H] :
      ( lhs_atom38(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__Un__subset2_0_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom39(V_a,V_B,T_a)
    <=> c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom39(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__insertI_0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [V_X,V_H] :
      ( lhs_atom40(V_X,V_H)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ! [V_H,V_X] :
      ( lhs_atom40(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_synth__insert_0_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [V_X_H,V_X,V_K,V_A] :
      ( lhs_atom41(V_X_H,V_X,V_K,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ! [V_A,V_K,V_X,V_X_H] :
      ( lhs_atom41(V_X_H,V_X,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I11_J_0_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [V_K,V_H] :
      ( lhs_atom42(V_K,V_H)
    <=> c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ! [V_H,V_K] :
      ( lhs_atom42(V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_keysFor__insert__Key_0_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [V_H,V_G] :
      ( lhs_atom43(V_H,V_G)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ! [V_G,V_H] :
      ( lhs_atom43(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_synth__Un_0_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [V_X,V_H] :
      ( lhs_atom44(V_X,V_H)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ! [V_H,V_X] :
      ( lhs_atom44(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__Hash_0_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [V_ys,V_xs,T_a] :
      ( lhs_atom45(V_ys,V_xs,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ! [T_a,V_xs,V_ys] :
      ( lhs_atom45(V_ys,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_set__append_0_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [V_X,V_H] :
      ( lhs_atom46(V_X,V_H)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ! [V_H,V_X] :
      ( lhs_atom46(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__subset_0_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ! [V_X,V_K,V_A] :
      ( lhs_atom47(V_X,V_K,V_A)
    <=> c_Set_Oinsert(hAPP(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(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ! [V_A,V_K,V_X] :
      ( lhs_atom47(V_X,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I4_J_0_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom48(V_f,V_B,V_A,T_b,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom48(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__image__freshK__simps_I57_J_0_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ! [V_A,T_a] :
      ( lhs_atom49(V_A,T_a)
    <=> c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ! [T_a,V_A] :
      ( lhs_atom49(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__UNIV_0_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ! [V_H] :
      ( lhs_atom50(V_H)
    <=> c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ! [V_H] :
      ( lhs_atom50(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_synth__increasing_0_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ! [V_x,T_a] :
      ( lhs_atom51(V_x,T_a)
    <=> c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_51,plain,
    ! [T_a,V_x] :
      ( lhs_atom51(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_equalityE_0_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ! [V_A,T_a] :
      ( lhs_atom52(V_A,T_a)
    <=> c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ! [T_a,V_A] :
      ( lhs_atom52(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__refl_0_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ! [V_X,V_H] :
      ( lhs_atom53(V_X,V_H)
    <=> c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ! [V_H,V_X] :
      ( lhs_atom53(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_keysFor__insert__Hash_0_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom54(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom54(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__Un_0_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ! [V_X,V_H] :
      ( lhs_atom55(V_X,V_H)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_55,plain,
    ! [V_H,V_X] :
      ( lhs_atom55(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__insert_0_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom56(V_xs,V_x,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_56,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom56(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_set__subset__Cons_0_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ! [V_H] :
      ( lhs_atom57(V_H)
    <=> c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_57,plain,
    ! [V_H] :
      ( lhs_atom57(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__subset__parts_0_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ! [V_H] :
      ( lhs_atom58(V_H)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_58,plain,
    ! [V_H] :
      ( lhs_atom58(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__synth_0_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ! [V_H] :
      ( lhs_atom59(V_H)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_59,plain,
    ! [V_H] :
      ( lhs_atom59(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__synth_0_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ! [V_H,V_G] :
      ( lhs_atom60(V_H,V_G)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_60,plain,
    ! [V_G,V_H] :
      ( lhs_atom60(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__synth__Un_0_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ! [V_evs,V_e,V_A] :
      ( lhs_atom61(V_evs,V_e,V_A)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_61,plain,
    ! [V_A,V_e,V_evs] :
      ( lhs_atom61(V_evs,V_e,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__subset__knows__Cons_0_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ! [V_evs,V_A] :
      ( lhs_atom62(V_evs,V_A)
    <=> c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ! [V_A,V_evs] :
      ( lhs_atom62(V_evs,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_initState__subset__knows_0_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ( lhs_atom63
  <=> c_Event_OinitState(c_Message_Oagent_OSpy) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ( lhs_atom63
    | $false ),
    inference(fold_definition,[status(thm)],[cls_initState__Spy_0_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ! [V_N,V_H] :
      ( lhs_atom64(V_N,V_H)
    <=> c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ! [V_H,V_N] :
      ( lhs_atom64(V_N,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_keysFor__insert__Nonce_0_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ! [V_A,T_a] :
      ( lhs_atom65(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_65,plain,
    ! [T_a,V_A] :
      ( lhs_atom65(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__absorb_0_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ! [V_H,V_G] :
      ( lhs_atom66(V_H,V_G)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_66,plain,
    ! [V_G,V_H] :
      ( lhs_atom66(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__Un_0_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ! [V_H,V_G] :
      ( lhs_atom67(V_H,V_G)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_67,plain,
    ! [V_G,V_H] :
      ( lhs_atom67(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__Un__subset1_0_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom68(V_C,V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_68,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom68(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__left__commute_0_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom69(V_C,V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_69,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom69(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__assoc_0_0,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom70(V_C,V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_70,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom70(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__image__freshK__simps_I65_J_0_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom71(V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom71(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__upper2_0_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom72(V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_72,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom72(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__upper1_0_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ! [V_A,T_a] :
      ( lhs_atom73(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_73,plain,
    ! [T_a,V_A] :
      ( lhs_atom73(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__partition2_0_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ! [V_A,T_a] :
      ( lhs_atom74(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_74,plain,
    ! [T_a,V_A] :
      ( lhs_atom74(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__partition_0_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ! [V_H,V_A] :
      ( lhs_atom75(V_H,V_A)
    <=> c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_75,plain,
    ! [V_A,V_H] :
      ( lhs_atom75(V_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_keysFor__insert__Agent_0_0,def_lhs_atom75]) ).

fof(def_lhs_atom76,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom76(V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_76,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom76(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__commute_0_0,def_lhs_atom76]) ).

fof(def_lhs_atom77,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom77(V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_77,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom77(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__left__absorb_0_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ! [V_X,V_H] :
      ( lhs_atom78(V_X,V_H)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_78,plain,
    ! [V_H,V_X] :
      ( lhs_atom78(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__insert__Hash_0_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom79(V_Y,V_X,V_H)
    <=> c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_79,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom79(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_keysFor__insert__MPair_0_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ! [V_A,T_a] :
      ( lhs_atom80(V_A,T_a)
    <=> c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_80,plain,
    ! [T_a,V_A] :
      ( lhs_atom80(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_double__complement_0_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ! [V_msg2_H,V_msg1_H,V_msg] :
      ( lhs_atom81(V_msg2_H,V_msg1_H,V_msg)
    <=> c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_81,plain,
    ! [V_msg,V_msg1_H,V_msg2_H] :
      ( lhs_atom81(V_msg2_H,V_msg1_H,V_msg)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I45_J_0_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ! [V_msg2_H,V_msg1_H,V_msg] :
      ( lhs_atom82(V_msg2_H,V_msg1_H,V_msg)
    <=> c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_82,plain,
    ! [V_msg,V_msg1_H,V_msg2_H] :
      ( lhs_atom82(V_msg2_H,V_msg1_H,V_msg)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I44_J_0_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ! [V_H,V_G] :
      ( lhs_atom83(V_H,V_G)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_83,plain,
    ! [V_G,V_H] :
      ( lhs_atom83(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__Un_0_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ! [V_H] :
      ( lhs_atom84(V_H)
    <=> c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_84,plain,
    ! [V_H] :
      ( lhs_atom84(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__increasing_0_0,def_lhs_atom84]) ).

fof(def_lhs_atom85,axiom,
    ! [V_nat_H,V_msg_H,V_msg] :
      ( lhs_atom85(V_nat_H,V_msg_H,V_msg)
    <=> c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_85,plain,
    ! [V_msg,V_msg_H,V_nat_H] :
      ( lhs_atom85(V_nat_H,V_msg_H,V_msg)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I46_J_0_0,def_lhs_atom85]) ).

fof(def_lhs_atom86,axiom,
    ! [V_nat_H,V_msg_H,V_msg] :
      ( lhs_atom86(V_nat_H,V_msg_H,V_msg)
    <=> c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_86,plain,
    ! [V_msg,V_msg_H,V_nat_H] :
      ( lhs_atom86(V_nat_H,V_msg_H,V_msg)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I47_J_0_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ! [V_nat,V_msg_H] :
      ( lhs_atom87(V_nat,V_msg_H)
    <=> c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_87,plain,
    ! [V_msg_H,V_nat] :
      ( lhs_atom87(V_nat,V_msg_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I39_J_0_0,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ! [V_nat,V_msg_H] :
      ( lhs_atom88(V_nat,V_msg_H)
    <=> hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OHash(V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_88,plain,
    ! [V_msg_H,V_nat] :
      ( lhs_atom88(V_nat,V_msg_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I38_J_0_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ! [V_H] :
      ( lhs_atom89(V_H)
    <=> c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_89,plain,
    ! [V_H] :
      ( lhs_atom89(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__increasing_0_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ! [V_H,V_G] :
      ( lhs_atom90(V_H,V_G)
    <=> 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))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_90,plain,
    ! [V_G,V_H] :
      ( lhs_atom90(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__analz__Un_0_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ! [V_msg_H,V_agent] :
      ( lhs_atom91(V_msg_H,V_agent)
    <=> c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent) ),
    inference(definition,[],]) ).

fof(to_be_clausified_91,plain,
    ! [V_agent,V_msg_H] :
      ( lhs_atom91(V_msg_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I15_J_0_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ! [V_msg_H,V_agent] :
      ( lhs_atom92(V_msg_H,V_agent)
    <=> c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_92,plain,
    ! [V_agent,V_msg_H] :
      ( lhs_atom92(V_msg_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I14_J_0_0,def_lhs_atom92]) ).

fof(def_lhs_atom93,axiom,
    ! [V_nat,V_msg_H] :
      ( lhs_atom93(V_nat,V_msg_H)
    <=> c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_93,plain,
    ! [V_msg_H,V_nat] :
      ( lhs_atom93(V_nat,V_msg_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I32_J_0_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ! [V_nat,V_msg_H] :
      ( lhs_atom94(V_nat,V_msg_H)
    <=> c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_94,plain,
    ! [V_msg_H,V_nat] :
      ( lhs_atom94(V_nat,V_msg_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I33_J_0_0,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ! [V_evs] :
      ( lhs_atom95(V_evs)
    <=> c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_95,plain,
    ! [V_evs] :
      ( lhs_atom95(V_evs)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_used__nil__subset_0_0,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ! [V_X,V_K,V_H] :
      ( lhs_atom96(V_X,V_K,V_H)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_96,plain,
    ! [V_H,V_K,V_X] :
      ( lhs_atom96(V_X,V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__insert__Crypt__subset_0_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ! [V_X,V_A] :
      ( lhs_atom97(V_X,V_A)
    <=> ~ c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_97,plain,
    ! [V_A,V_X] :
      ( lhs_atom97(V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Hash__notin__image__Key_0_0,def_lhs_atom97]) ).

fof(def_lhs_atom98,axiom,
    ! [V_evs,V_X,V_B,V_A_H,V_A] :
      ( lhs_atom98(V_evs,V_X,V_B,V_A_H,V_A)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_98,plain,
    ! [V_A,V_A_H,V_B,V_X,V_evs] :
      ( lhs_atom98(V_evs,V_X,V_B,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__subset__knows__Says_0_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ! [V_B,V_A] :
      ( lhs_atom99(V_B,V_A)
    <=> hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)) != hAPP(c_Public_OshrK,V_B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_99,plain,
    ! [V_A,V_B] :
      ( lhs_atom99(V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_priEK__noteq__shrK_0_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ! [V_evs,V_X,V_A_H,V_A] :
      ( lhs_atom100(V_evs,V_X,V_A_H,V_A)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_100,plain,
    ! [V_A,V_A_H,V_X,V_evs] :
      ( lhs_atom100(V_evs,V_X,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__subset__knows__Notes_0_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ! [V_evs,V_X,V_A_H,V_A] :
      ( lhs_atom101(V_evs,V_X,V_A_H,V_A)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_101,plain,
    ! [V_A,V_A_H,V_X,V_evs] :
      ( lhs_atom101(V_evs,V_X,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__subset__knows__Gets_0_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom102(V_evs,V_X,V_B,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_102,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom102(V_evs,V_X,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Spy__Says_0_0,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ! [V_x,V_b,V_AA] :
      ( lhs_atom103(V_x,V_b,V_AA)
    <=> ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_103,plain,
    ! [V_AA,V_b,V_x] :
      ( lhs_atom103(V_x,V_b,V_AA)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__notin__image__privateKey_0_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ! [V_A] :
      ( lhs_atom104(V_A)
    <=> ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)),c_Message_OsymKeys,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_104,plain,
    ! [V_A] :
      ( lhs_atom104(V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_symKey__neq__priEK_0_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ! [V_c,V_b,V_AS,V_A] :
      ( lhs_atom105(V_c,V_b,V_AS,V_A)
    <=> ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_105,plain,
    ! [V_A,V_AS,V_b,V_c] :
      ( lhs_atom105(V_c,V_b,V_AS,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_publicKey__notin__image__privateKey_0_0,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom106(V_evs,V_X,V_A)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_106,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom106(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Spy__subset__knows__Spy__Gets_0_0,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom107(V_evs,V_X,V_A)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_107,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom107(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Spy__subset__knows__Spy__Notes_0_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom108(V_evs,V_X,V_B,V_A)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_108,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom108(V_evs,V_X,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Spy__subset__knows__Spy__Says_0_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ! [V_evs] :
      ( lhs_atom109(V_evs)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_109,plain,
    ! [V_evs] :
      ( lhs_atom109(V_evs)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__knows__Spy__subset__used_0_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom110(V_evs,V_X,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_110,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom110(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Notes_0_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom111(V_evs,V_X,V_B,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_111,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom111(V_evs,V_X,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Says_0_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ! [V_xb,V_xa,V_x,T_a] :
      ( lhs_atom112(V_xb,V_xa,V_x,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_112,plain,
    ! [T_a,V_x,V_xa,V_xb] :
      ( lhs_atom112(V_xb,V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_in__set__conv__decomp_1_0,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom113(V_evs,V_X,V_B,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_113,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom113(V_evs,V_X,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_spies__Says__rev_0_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ! [V_N,V_H] :
      ( lhs_atom114(V_N,V_H)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_114,plain,
    ! [V_H,V_N] :
      ( lhs_atom114(V_N,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__insert__Nonce_0_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ! [V_N,V_K,V_A] :
      ( lhs_atom115(V_N,V_K,V_A)
    <=> c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_115,plain,
    ! [V_A,V_K,V_N] :
      ( lhs_atom115(V_N,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I2_J_0_0,def_lhs_atom115]) ).

fof(def_lhs_atom116,axiom,
    ! [V_X,V_N,V_K,V_A] :
      ( lhs_atom116(V_X,V_N,V_K,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_116,plain,
    ! [V_A,V_K,V_N,V_X] :
      ( lhs_atom116(V_X,V_N,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I9_J_0_0,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ! [V_agt,V_H] :
      ( lhs_atom117(V_agt,V_H)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_117,plain,
    ! [V_H,V_agt] :
      ( lhs_atom117(V_agt,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__insert__Agent_0_0,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ! [V_K,V_C,V_A] :
      ( lhs_atom118(V_K,V_C,V_A)
    <=> c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_118,plain,
    ! [V_A,V_C,V_K] :
      ( lhs_atom118(V_K,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I1_J_0_0,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ! [V_N,V_H] :
      ( lhs_atom119(V_N,V_H)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_119,plain,
    ! [V_H,V_N] :
      ( lhs_atom119(V_N,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__Nonce_0_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ! [V_X,V_K,V_C,V_A] :
      ( lhs_atom120(V_X,V_K,V_C,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_120,plain,
    ! [V_A,V_C,V_K,V_X] :
      ( lhs_atom120(V_X,V_K,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I8_J_0_0,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ! [V_agt,V_H] :
      ( lhs_atom121(V_agt,V_H)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_121,plain,
    ! [V_H,V_agt] :
      ( lhs_atom121(V_agt,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__Agent_0_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ! [V_X,V_K_H,V_K,V_A] :
      ( lhs_atom122(V_X,V_K_H,V_K,V_A)
    <=> c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_122,plain,
    ! [V_A,V_K,V_K_H,V_X] :
      ( lhs_atom122(V_X,V_K_H,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I6_J_0_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ! [V_K,V_H] :
      ( lhs_atom123(V_K,V_H)
    <=> c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_123,plain,
    ! [V_H,V_K] :
      ( lhs_atom123(V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__Key_0_0,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom124(V_Y,V_X,V_H)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_124,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom124(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__insert__MPair_0_0,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ! [V_X,V_K,V_H] :
      ( lhs_atom125(V_X,V_K,V_H)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_125,plain,
    ! [V_H,V_K,V_X] :
      ( lhs_atom125(V_X,V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__Crypt_0_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ! [V_Y,V_X,V_K,V_A] :
      ( lhs_atom126(V_Y,V_X,V_K,V_A)
    <=> c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_126,plain,
    ! [V_A,V_K,V_X,V_Y] :
      ( lhs_atom126(V_Y,V_X,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I5_J_0_0,def_lhs_atom126]) ).

fof(def_lhs_atom127,axiom,
    ! [V_Y,V_X_H,V_X,V_K,V_A] :
      ( lhs_atom127(V_Y,V_X_H,V_X,V_K,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_127,plain,
    ! [V_A,V_K,V_X,V_X_H,V_Y] :
      ( lhs_atom127(V_Y,V_X_H,V_X,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I12_J_0_0,def_lhs_atom127]) ).

fof(def_lhs_atom128,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom128(V_Y,V_X,V_H)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_128,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom128(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__MPair_0_0,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom129(V_xs,V_x,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_129,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom129(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oset_Osimps_I2_J_0_0,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom130(V_xs,V_x,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_130,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom130(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__Cons__conv_4_0,def_lhs_atom130]) ).

fof(def_lhs_atom131,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom131(V_xs,V_x,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_131,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom131(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Cons__eq__append__conv_4_0,def_lhs_atom131]) ).

fof(def_lhs_atom132,axiom,
    ! [V_x,V_f,T_b,T_a] :
      ( lhs_atom132(V_x,V_f,T_b,T_a)
    <=> c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_132,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( lhs_atom132(V_x,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rangeI_0_0,def_lhs_atom132]) ).

fof(def_lhs_atom133,axiom,
    ! [V_x,V_b,V_AA] :
      ( lhs_atom133(V_x,V_b,V_AA)
    <=> ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_133,plain,
    ! [V_AA,V_b,V_x] :
      ( lhs_atom133(V_x,V_b,V_AA)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_privateKey__notin__image__shrK_0_0,def_lhs_atom133]) ).

fof(def_lhs_atom134,axiom,
    ! [V_X] :
      ( lhs_atom134(V_X)
    <=> c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_134,plain,
    ! [V_X] :
      ( lhs_atom134(V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_sym__shrK_0_0,def_lhs_atom134]) ).

fof(def_lhs_atom135,axiom,
    ! [V_xs,V_x,V_ts,T_a] :
      ( lhs_atom135(V_xs,V_x,V_ts,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_135,plain,
    ! [T_a,V_ts,V_x,V_xs] :
      ( lhs_atom135(V_xs,V_x,V_ts,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__append__conv2_5_0,def_lhs_atom135]) ).

fof(def_lhs_atom136,axiom,
    ! [V_zs,V_ys,V_x,T_a] :
      ( lhs_atom136(V_zs,V_ys,V_x,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_136,plain,
    ! [T_a,V_x,V_ys,V_zs] :
      ( lhs_atom136(V_zs,V_ys,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__append__conv2_4_0,def_lhs_atom136]) ).

fof(def_lhs_atom137,axiom,
    ! [V_xs1,V_xs,V_us,T_a] :
      ( lhs_atom137(V_xs1,V_xs,V_us,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_137,plain,
    ! [T_a,V_us,V_xs,V_xs1] :
      ( lhs_atom137(V_xs1,V_xs,V_us,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__appendI_0_0,def_lhs_atom137]) ).

fof(def_lhs_atom138,axiom,
    ! [V_zs,V_ys,V_xs,T_a] :
      ( lhs_atom138(V_zs,V_ys,V_xs,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_138,plain,
    ! [T_a,V_xs,V_ys,V_zs] :
      ( lhs_atom138(V_zs,V_ys,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__assoc_0_0,def_lhs_atom138]) ).

fof(def_lhs_atom139,axiom,
    ! [V_b,V_A] :
      ( lhs_atom139(V_b,V_A)
    <=> ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_139,plain,
    ! [V_A,V_b] :
      ( lhs_atom139(V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__symKeys__priK_0_0,def_lhs_atom139]) ).

fof(def_lhs_atom140,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom140(V_x,V_A,T_a)
    <=> hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_140,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom140(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__code_1_0,def_lhs_atom140]) ).

fof(def_lhs_atom141,axiom,
    ! [V_f,V_a,V_B,T_b,T_a] :
      ( lhs_atom141(V_f,V_a,V_B,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_141,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( lhs_atom141(V_f,V_a,V_B,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__insert_0_0,def_lhs_atom141]) ).

fof(def_lhs_atom142,axiom,
    ! [V_x,T_a] :
      ( lhs_atom142(V_x,T_a)
    <=> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_142,plain,
    ! [T_a,V_x] :
      ( lhs_atom142(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_top1I_0_0,def_lhs_atom142]) ).

fof(def_lhs_atom143,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom143(V_x,V_A,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_143,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom143(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__absorb2_0_0,def_lhs_atom143]) ).

fof(def_lhs_atom144,axiom,
    ! [V_x,V_c,V_b,V_AA] :
      ( lhs_atom144(V_x,V_c,V_b,V_AA)
    <=> ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_144,plain,
    ! [V_AA,V_b,V_c,V_x] :
      ( lhs_atom144(V_x,V_c,V_b,V_AA)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_privateKey__notin__image__publicKey_0_0,def_lhs_atom144]) ).

fof(def_lhs_atom145,axiom,
    ! [V_x,V_b,V_AA] :
      ( lhs_atom145(V_x,V_b,V_AA)
    <=> ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_145,plain,
    ! [V_AA,V_b,V_x] :
      ( lhs_atom145(V_x,V_b,V_AA)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_publicKey__notin__image__shrK_0_0,def_lhs_atom145]) ).

fof(def_lhs_atom146,axiom,
    ! [V_y,V_x,V_A,T_a] :
      ( lhs_atom146(V_y,V_x,V_A,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_146,plain,
    ! [T_a,V_A,V_x,V_y] :
      ( lhs_atom146(V_y,V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__commute_0_0,def_lhs_atom146]) ).

fof(def_lhs_atom147,axiom,
    ! [V_zs,V_xa,V_x,T_a] :
      ( lhs_atom147(V_zs,V_xa,V_x,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_147,plain,
    ! [T_a,V_x,V_xa,V_zs] :
      ( lhs_atom147(V_zs,V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__Cons__conv_5_0,def_lhs_atom147]) ).

fof(def_lhs_atom148,axiom,
    ! [V_ys,V_xs,V_x,T_a] :
      ( lhs_atom148(V_ys,V_xs,V_x,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_148,plain,
    ! [T_a,V_x,V_xs,V_ys] :
      ( lhs_atom148(V_ys,V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__Cons_0_0,def_lhs_atom148]) ).

fof(def_lhs_atom149,axiom,
    ! [V_zs,V_xa,V_x,T_a] :
      ( lhs_atom149(V_zs,V_xa,V_x,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_149,plain,
    ! [T_a,V_x,V_xa,V_zs] :
      ( lhs_atom149(V_zs,V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Cons__eq__append__conv_5_0,def_lhs_atom149]) ).

fof(def_lhs_atom150,axiom,
    ! [V_zs,V_xs1,V_x,T_a] :
      ( lhs_atom150(V_zs,V_xs1,V_x,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_150,plain,
    ! [T_a,V_x,V_xs1,V_zs] :
      ( lhs_atom150(V_zs,V_xs1,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Cons__eq__appendI_0_0,def_lhs_atom150]) ).

fof(def_lhs_atom151,axiom,
    ! [V_b,V_A] :
      ( lhs_atom151(V_b,V_A)
    <=> ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_151,plain,
    ! [V_A,V_b] :
      ( lhs_atom151(V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__symKeys__pubK_0_0,def_lhs_atom151]) ).

fof(def_lhs_atom152,axiom,
    ! [V_f,V_a,V_B,T_b,T_a] :
      ( lhs_atom152(V_f,V_a,V_B,T_b,T_a)
    <=> c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) = c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_152,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( lhs_atom152(V_f,V_a,V_B,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__image__freshK__simps_I56_J_0_0,def_lhs_atom152]) ).

fof(def_lhs_atom153,axiom,
    ! [V_x,V_b,V_AA] :
      ( lhs_atom153(V_x,V_b,V_AA)
    <=> ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_153,plain,
    ! [V_AA,V_b,V_x] :
      ( lhs_atom153(V_x,V_b,V_AA)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__notin__image__publicKey_0_0,def_lhs_atom153]) ).

fof(def_lhs_atom154,axiom,
    ! [V_x,T_a] :
      ( lhs_atom154(V_x,T_a)
    <=> c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_154,plain,
    ! [T_a,V_x] :
      ( lhs_atom154(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UNIV__I_0_0,def_lhs_atom154]) ).

fof(def_lhs_atom155,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom155(V_x,V_A,T_a)
    <=> c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_155,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom155(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__iff_1_0,def_lhs_atom155]) ).

fof(def_lhs_atom156,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom156(V_a,V_B,T_a)
    <=> c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_156,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom156(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insertI1_0_0,def_lhs_atom156]) ).

fof(def_lhs_atom157,axiom,
    ! [V_x,V_B,T_a] :
      ( lhs_atom157(V_x,V_B,T_a)
    <=> c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_157,plain,
    ! [T_a,V_B,V_x] :
      ( lhs_atom157(V_x,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insertCI_1_0,def_lhs_atom157]) ).

fof(def_lhs_atom158,axiom,
    ! [T_a] :
      ( lhs_atom158(T_a)
    <=> c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_158,plain,
    ! [T_a] :
      ( lhs_atom158(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__is__Nil__conv_2_0,def_lhs_atom158]) ).

fof(def_lhs_atom159,axiom,
    ! [V_ys,T_a] :
      ( lhs_atom159(V_ys,T_a)
    <=> c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ),
    inference(definition,[],]) ).

fof(to_be_clausified_159,plain,
    ! [T_a,V_ys] :
      ( lhs_atom159(V_ys,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_self__append__conv2_1_0,def_lhs_atom159]) ).

fof(to_be_clausified_160,plain,
    ! [T_a,V_ys] :
      ( lhs_atom159(V_ys,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__Nil_0_0,def_lhs_atom159]) ).

fof(def_lhs_atom160,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom160(V_xs,T_a)
    <=> c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ),
    inference(definition,[],]) ).

fof(to_be_clausified_161,plain,
    ! [T_a,V_xs] :
      ( lhs_atom160(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_self__append__conv_1_0,def_lhs_atom160]) ).

fof(def_lhs_atom161,axiom,
    ! [V_x,T_a] :
      ( lhs_atom161(V_x,T_a)
    <=> c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) = V_x ),
    inference(definition,[],]) ).

fof(to_be_clausified_162,plain,
    ! [T_a,V_x] :
      ( lhs_atom161(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_eq__Nil__appendI_0_0,def_lhs_atom161]) ).

fof(to_be_clausified_163,plain,
    ! [T_a,V_xs] :
      ( lhs_atom160(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__Nil2_0_0,def_lhs_atom160]) ).

fof(def_lhs_atom162,axiom,
    ! [T_a] :
      ( lhs_atom162(T_a)
    <=> c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_164,plain,
    ! [T_a] :
      ( lhs_atom162(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nil__is__append__conv_2_0,def_lhs_atom162]) ).

fof(def_lhs_atom163,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom163(V_evs,V_X,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_165,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom163(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_spies__Gets__rev_0_0,def_lhs_atom163]) ).

fof(def_lhs_atom164,axiom,
    ! [V_X,V_K,V_B] :
      ( lhs_atom164(V_X,V_K,V_B)
    <=> ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_166,plain,
    ! [V_B,V_K,V_X] :
      ( lhs_atom164(V_X,V_K,V_B)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Crypt__notin__initState_0_0,def_lhs_atom164]) ).

fof(def_lhs_atom165,axiom,
    ! [V_A] :
      ( lhs_atom165(V_A)
    <=> c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_167,plain,
    ! [V_A] :
      ( lhs_atom165(V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Nil_0_0,def_lhs_atom165]) ).

fof(def_lhs_atom166,axiom,
    ( lhs_atom166
  <=> ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ),
    inference(definition,[],]) ).

fof(to_be_clausified_168,plain,
    ( lhs_atom166
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Server__not__bad_0_0,def_lhs_atom166]) ).

fof(def_lhs_atom167,axiom,
    ! [V_N] :
      ( lhs_atom167(V_N)
    <=> c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_169,plain,
    ! [V_N] :
      ( lhs_atom167(V_N)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__image__Key_0_0,def_lhs_atom167]) ).

fof(def_lhs_atom168,axiom,
    ! [V_H,V_A] :
      ( lhs_atom168(V_H,V_A)
    <=> c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_170,plain,
    ! [V_A,V_H] :
      ( lhs_atom168(V_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Agent__synth_0_0,def_lhs_atom168]) ).

fof(def_lhs_atom169,axiom,
    ! [V_agt,V_H] :
      ( lhs_atom169(V_agt,V_H)
    <=> c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_171,plain,
    ! [V_H,V_agt] :
      ( lhs_atom169(V_agt,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_synth_OAgent_0_0,def_lhs_atom169]) ).

fof(def_lhs_atom170,axiom,
    ! [V_N] :
      ( lhs_atom170(V_N)
    <=> c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_172,plain,
    ! [V_N] :
      ( lhs_atom170(V_N)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__image__Key_0_0,def_lhs_atom170]) ).

fof(def_lhs_atom171,axiom,
    ( lhs_atom171
  <=> c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_173,plain,
    ( lhs_atom171
    | $false ),
    inference(fold_definition,[status(thm)],[cls_ns__sharedp_ONil_0_0,def_lhs_atom171]) ).

fof(def_lhs_atom172,axiom,
    ! [V_A] :
      ( lhs_atom172(V_A)
    <=> hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_174,plain,
    ! [V_A] :
      ( lhs_atom172(V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_invKey__shrK_0_0,def_lhs_atom172]) ).

fof(def_lhs_atom173,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom173(V_b,V_C,V_A)
    <=> hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_175,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom173(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__neq__pubK_0_0,def_lhs_atom173]) ).

fof(def_lhs_atom174,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom174(V_b,V_C,V_A)
    <=> hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_176,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom174(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pubK__neq__shrK_0_0,def_lhs_atom174]) ).

fof(def_lhs_atom175,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom175(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
    <=> c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_177,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom175(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_event_Osimps_I7_J_0_0,def_lhs_atom175]) ).

fof(def_lhs_atom176,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom176(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
    <=> c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_178,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom176(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_event_Osimps_I5_J_0_0,def_lhs_atom176]) ).

fof(def_lhs_atom177,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom177(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
    <=> c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_179,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom177(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_event_Osimps_I6_J_0_0,def_lhs_atom177]) ).

fof(def_lhs_atom178,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom178(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
    <=> c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_180,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom178(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_event_Osimps_I4_J_0_0,def_lhs_atom178]) ).

fof(def_lhs_atom179,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom179(V_evs,V_X,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_181,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom179(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Spy__Gets_0_0,def_lhs_atom179]) ).

fof(def_lhs_atom180,axiom,
    ( lhs_atom180
  <=> c_Message_Oagent_OSpy != c_Message_Oagent_OServer ),
    inference(definition,[],]) ).

fof(to_be_clausified_182,plain,
    ( lhs_atom180
    | $false ),
    inference(fold_definition,[status(thm)],[cls_agent_Osimps_I5_J_0_0,def_lhs_atom180]) ).

fof(def_lhs_atom181,axiom,
    ( lhs_atom181
  <=> c_Message_Oagent_OServer != c_Message_Oagent_OSpy ),
    inference(definition,[],]) ).

fof(to_be_clausified_183,plain,
    ( lhs_atom181
    | $false ),
    inference(fold_definition,[status(thm)],[cls_agent_Osimps_I4_J_0_0,def_lhs_atom181]) ).

fof(def_lhs_atom182,axiom,
    ! [V_b,V_B,V_A] :
      ( lhs_atom182(V_b,V_B,V_A)
    <=> c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_184,plain,
    ! [V_A,V_B,V_b] :
      ( lhs_atom182(V_b,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_publicKey__in__initState_0_0,def_lhs_atom182]) ).

fof(def_lhs_atom183,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom183(V_evs,V_b,V_A)
    <=> c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_185,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom183(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_publicKey__into__used_0_0,def_lhs_atom183]) ).

fof(def_lhs_atom184,axiom,
    ! [V_list_H,V_a_H,T_a] :
      ( lhs_atom184(V_list_H,V_a_H,T_a)
    <=> c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_186,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( lhs_atom184(V_list_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_list_Osimps_I3_J_0_0,def_lhs_atom184]) ).

fof(def_lhs_atom185,axiom,
    ! [V_xa,V_x,T_a] :
      ( lhs_atom185(V_xa,V_x,T_a)
    <=> c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_187,plain,
    ! [T_a,V_x,V_xa] :
      ( lhs_atom185(V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_neq__Nil__conv_1_0,def_lhs_atom185]) ).

fof(def_lhs_atom186,axiom,
    ! [V_list_H,V_a_H,T_a] :
      ( lhs_atom186(V_list_H,V_a_H,T_a)
    <=> c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_188,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( lhs_atom186(V_list_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_list_Osimps_I2_J_0_0,def_lhs_atom186]) ).

fof(def_lhs_atom187,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom187(V_evs,V_b,V_A)
    <=> c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_189,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom187(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_privateKey__into__used_0_0,def_lhs_atom187]) ).

fof(def_lhs_atom188,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom188(V_xs,V_x,T_a)
    <=> V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_190,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom188(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__Cons__self_0_0,def_lhs_atom188]) ).

fof(def_lhs_atom189,axiom,
    ! [V_x,V_t,T_a] :
      ( lhs_atom189(V_x,V_t,T_a)
    <=> c_List_Olist_OCons(V_x,V_t,T_a) != V_t ),
    inference(definition,[],]) ).

fof(to_be_clausified_191,plain,
    ! [T_a,V_t,V_x] :
      ( lhs_atom189(V_x,V_t,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__Cons__self2_0_0,def_lhs_atom189]) ).

fof(def_lhs_atom190,axiom,
    ! [V_H] :
      ( lhs_atom190(V_H)
    <=> c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_192,plain,
    ! [V_H] :
      ( lhs_atom190(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_synth__idem_0_0,def_lhs_atom190]) ).

fof(def_lhs_atom191,axiom,
    ! [V_b,V_A] :
      ( lhs_atom191(V_b,V_A)
    <=> c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_193,plain,
    ! [V_A,V_b] :
      ( lhs_atom191(V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_priK__in__initState_0_0,def_lhs_atom191]) ).

fof(def_lhs_atom192,axiom,
    ! [V_c,V_b,V_A_H,V_A] :
      ( lhs_atom192(V_c,V_b,V_A_H,V_A)
    <=> hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_194,plain,
    ! [V_A,V_A_H,V_b,V_c] :
      ( lhs_atom192(V_c,V_b,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_privateKey__neq__publicKey_0_0,def_lhs_atom192]) ).

fof(def_lhs_atom193,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent] :
      ( lhs_atom193(V_msg_H,V_msg,V_agent_H,V_agent)
    <=> c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_195,plain,
    ! [V_agent,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom193(V_msg_H,V_msg,V_agent_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_event_Osimps_I8_J_0_0,def_lhs_atom193]) ).

fof(def_lhs_atom194,axiom,
    ! [V_K] :
      ( lhs_atom194(V_K)
    <=> hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K ),
    inference(definition,[],]) ).

fof(to_be_clausified_196,plain,
    ! [V_K] :
      ( lhs_atom194(V_K)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_invKey_0_0,def_lhs_atom194]) ).

fof(def_lhs_atom195,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent] :
      ( lhs_atom195(V_msg_H,V_msg,V_agent_H,V_agent)
    <=> c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_197,plain,
    ! [V_agent,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom195(V_msg_H,V_msg,V_agent_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_event_Osimps_I9_J_0_0,def_lhs_atom195]) ).

fof(def_lhs_atom196,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom196(V_b,V_C,V_A)
    <=> hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_198,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom196(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_priK__neq__shrK_0_0,def_lhs_atom196]) ).

fof(def_lhs_atom197,axiom,
    ( lhs_atom197
  <=> c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_199,plain,
    ( lhs_atom197
    | $false ),
    inference(fold_definition,[status(thm)],[cls_ns__shared_ONil_0_0,def_lhs_atom197]) ).

fof(def_lhs_atom198,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom198(V_evs,V_X,V_A)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_200,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom198(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_used__Gets_0_0,def_lhs_atom198]) ).

fof(def_lhs_atom199,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom199(V_b,V_C,V_A)
    <=> hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_201,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom199(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__neq__priK_0_0,def_lhs_atom199]) ).

fof(def_lhs_atom200,axiom,
    ! [V_c,V_b,V_A_H,V_A] :
      ( lhs_atom200(V_c,V_b,V_A_H,V_A)
    <=> hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_202,plain,
    ! [V_A,V_A_H,V_b,V_c] :
      ( lhs_atom200(V_c,V_b,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_publicKey__neq__privateKey_0_0,def_lhs_atom200]) ).

fof(def_lhs_atom201,axiom,
    ! [V_X,V_K,V_A] :
      ( lhs_atom201(V_X,V_K,V_A)
    <=> ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_203,plain,
    ! [V_A,V_K,V_X] :
      ( lhs_atom201(V_X,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Crypt__notin__image__Key_0_0,def_lhs_atom201]) ).

fof(def_lhs_atom202,axiom,
    ! [V_N,V_B] :
      ( lhs_atom202(V_N,V_B)
    <=> ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_204,plain,
    ! [V_B,V_N] :
      ( lhs_atom202(V_N,V_B)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nonce__notin__initState_0_0,def_lhs_atom202]) ).

fof(def_lhs_atom203,axiom,
    ! [V_x,V_A] :
      ( lhs_atom203(V_x,V_A)
    <=> ~ c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_205,plain,
    ! [V_A,V_x] :
      ( lhs_atom203(V_x,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nonce__Key__image__eq_0_0,def_lhs_atom203]) ).

fof(def_lhs_atom204,axiom,
    ! [V_A] :
      ( lhs_atom204(V_A)
    <=> c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_206,plain,
    ! [V_A] :
      ( lhs_atom204(V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__in__initState_0_0,def_lhs_atom204]) ).

fof(def_lhs_atom205,axiom,
    ! [V_evs,V_A] :
      ( lhs_atom205(V_evs,V_A)
    <=> c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_207,plain,
    ! [V_A,V_evs] :
      ( lhs_atom205(V_evs,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__in__used_0_0,def_lhs_atom205]) ).

fof(def_lhs_atom206,axiom,
    ! [V_evs,V_B] :
      ( lhs_atom206(V_evs,V_B)
    <=> c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_208,plain,
    ! [V_B,V_evs] :
      ( lhs_atom206(V_evs,V_B)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_neq__shrK_0_0,def_lhs_atom206]) ).

fof(def_lhs_atom207,axiom,
    ! [V_X,V_K] :
      ( lhs_atom207(V_X,V_K)
    <=> ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_209,plain,
    ! [V_K,V_X] :
      ( lhs_atom207(V_X,V_K)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Crypt__notin__used__empty_0_0,def_lhs_atom207]) ).

fof(def_lhs_atom208,axiom,
    ! [V_N] :
      ( lhs_atom208(V_N)
    <=> ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_210,plain,
    ! [V_N] :
      ( lhs_atom208(V_N)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nonce__notin__used__empty_0_0,def_lhs_atom208]) ).

fof(def_lhs_atom209,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom209(V_evs,V_b,V_A)
    <=> c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_211,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom209(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_spies__pubK_0_0,def_lhs_atom209]) ).

fof(def_lhs_atom210,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom210(V_evs,V_b,V_A)
    <=> c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_212,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom210(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__spies__pubK_0_0,def_lhs_atom210]) ).

fof(def_lhs_atom211,axiom,
    ! [V_H] :
      ( lhs_atom211(V_H)
    <=> c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_213,plain,
    ! [V_H] :
      ( lhs_atom211(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__analz_0_0,def_lhs_atom211]) ).

fof(def_lhs_atom212,axiom,
    ! [V_H] :
      ( lhs_atom212(V_H)
    <=> c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_214,plain,
    ! [V_H] :
      ( lhs_atom212(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__idem_0_0,def_lhs_atom212]) ).

fof(def_lhs_atom213,axiom,
    ! [V_nat_H,V_nat,V_msg_H] :
      ( lhs_atom213(V_nat_H,V_nat,V_msg_H)
    <=> c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_215,plain,
    ! [V_msg_H,V_nat,V_nat_H] :
      ( lhs_atom213(V_nat_H,V_nat,V_msg_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I37_J_0_0,def_lhs_atom213]) ).

fof(def_lhs_atom214,axiom,
    ! [V_nat_H,V_agent] :
      ( lhs_atom214(V_nat_H,V_agent)
    <=> c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_216,plain,
    ! [V_agent,V_nat_H] :
      ( lhs_atom214(V_nat_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I12_J_0_0,def_lhs_atom214]) ).

fof(def_lhs_atom215,axiom,
    ! [V_nat_H,V_nat] :
      ( lhs_atom215(V_nat_H,V_nat)
    <=> hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_217,plain,
    ! [V_nat,V_nat_H] :
      ( lhs_atom215(V_nat_H,V_nat)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I31_J_0_0,def_lhs_atom215]) ).

fof(def_lhs_atom216,axiom,
    ( lhs_atom216
  <=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
    inference(definition,[],]) ).

fof(to_be_clausified_218,plain,
    ( lhs_atom216
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Spy__in__bad_0_0,def_lhs_atom216]) ).

fof(def_lhs_atom217,axiom,
    ! [V_nat_H,V_nat,V_msg_H] :
      ( lhs_atom217(V_nat_H,V_nat,V_msg_H)
    <=> c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_219,plain,
    ! [V_msg_H,V_nat,V_nat_H] :
      ( lhs_atom217(V_nat_H,V_nat,V_msg_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I43_J_0_0,def_lhs_atom217]) ).

fof(def_lhs_atom218,axiom,
    ! [V_H] :
      ( lhs_atom218(V_H)
    <=> c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_220,plain,
    ! [V_H] :
      ( lhs_atom218(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__idem_0_0,def_lhs_atom218]) ).

fof(def_lhs_atom219,axiom,
    ! [V_nat_H,V_nat] :
      ( lhs_atom219(V_nat_H,V_nat)
    <=> c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_221,plain,
    ! [V_nat,V_nat_H] :
      ( lhs_atom219(V_nat_H,V_nat)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I30_J_0_0,def_lhs_atom219]) ).

fof(def_lhs_atom220,axiom,
    ! [V_H] :
      ( lhs_atom220(V_H)
    <=> c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_222,plain,
    ! [V_H] :
      ( lhs_atom220(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__parts_0_0,def_lhs_atom220]) ).

fof(def_lhs_atom221,axiom,
    ! [V_msg2_H,V_msg1_H,V_agent] :
      ( lhs_atom221(V_msg2_H,V_msg1_H,V_agent)
    <=> c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ),
    inference(definition,[],]) ).

fof(to_be_clausified_223,plain,
    ! [V_agent,V_msg1_H,V_msg2_H] :
      ( lhs_atom221(V_msg2_H,V_msg1_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I17_J_0_0,def_lhs_atom221]) ).

fof(def_lhs_atom222,axiom,
    ! [V_nat_H,V_agent] :
      ( lhs_atom222(V_nat_H,V_agent)
    <=> c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ),
    inference(definition,[],]) ).

fof(to_be_clausified_224,plain,
    ! [V_agent,V_nat_H] :
      ( lhs_atom222(V_nat_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I11_J_0_0,def_lhs_atom222]) ).

fof(def_lhs_atom223,axiom,
    ! [V_msg2_H,V_msg1_H,V_agent] :
      ( lhs_atom223(V_msg2_H,V_msg1_H,V_agent)
    <=> c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_225,plain,
    ! [V_agent,V_msg1_H,V_msg2_H] :
      ( lhs_atom223(V_msg2_H,V_msg1_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I16_J_0_0,def_lhs_atom223]) ).

fof(def_lhs_atom224,axiom,
    ! [V_nat_H,V_msg_H,V_agent] :
      ( lhs_atom224(V_nat_H,V_msg_H,V_agent)
    <=> c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_226,plain,
    ! [V_agent,V_msg_H,V_nat_H] :
      ( lhs_atom224(V_nat_H,V_msg_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I18_J_0_0,def_lhs_atom224]) ).

fof(def_lhs_atom225,axiom,
    ! [V_nat,V_msg2_H,V_msg1_H] :
      ( lhs_atom225(V_nat,V_msg2_H,V_msg1_H)
    <=> c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_227,plain,
    ! [V_msg1_H,V_msg2_H,V_nat] :
      ( lhs_atom225(V_nat,V_msg2_H,V_msg1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I34_J_0_0,def_lhs_atom225]) ).

fof(def_lhs_atom226,axiom,
    ! [V_nat_H,V_msg_H,V_msg2,V_msg1] :
      ( lhs_atom226(V_nat_H,V_msg_H,V_msg2,V_msg1)
    <=> c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_228,plain,
    ! [V_msg1,V_msg2,V_msg_H,V_nat_H] :
      ( lhs_atom226(V_nat_H,V_msg_H,V_msg2,V_msg1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I48_J_0_0,def_lhs_atom226]) ).

fof(def_lhs_atom227,axiom,
    ! [V_nat_H,V_msg_H,V_agent] :
      ( lhs_atom227(V_nat_H,V_msg_H,V_agent)
    <=> c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ),
    inference(definition,[],]) ).

fof(to_be_clausified_229,plain,
    ! [V_agent,V_msg_H,V_nat_H] :
      ( lhs_atom227(V_nat_H,V_msg_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I19_J_0_0,def_lhs_atom227]) ).

fof(def_lhs_atom228,axiom,
    ! [V_evs,V_A] :
      ( lhs_atom228(V_evs,V_A)
    <=> c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_230,plain,
    ! [V_A,V_evs] :
      ( lhs_atom228(V_evs,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__in__knows_0_0,def_lhs_atom228]) ).

fof(def_lhs_atom229,axiom,
    ! [V_nat_H,V_agent] :
      ( lhs_atom229(V_nat_H,V_agent)
    <=> hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ),
    inference(definition,[],]) ).

fof(to_be_clausified_231,plain,
    ! [V_agent,V_nat_H] :
      ( lhs_atom229(V_nat_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I13_J_0_0,def_lhs_atom229]) ).

fof(def_lhs_atom230,axiom,
    ! [V_nat_H,V_nat,V_msg_H] :
      ( lhs_atom230(V_nat_H,V_nat,V_msg_H)
    <=> c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_232,plain,
    ! [V_msg_H,V_nat,V_nat_H] :
      ( lhs_atom230(V_nat_H,V_nat,V_msg_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I36_J_0_0,def_lhs_atom230]) ).

fof(def_lhs_atom231,axiom,
    ! [V_nat_H,V_agent] :
      ( lhs_atom231(V_nat_H,V_agent)
    <=> c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_233,plain,
    ! [V_agent,V_nat_H] :
      ( lhs_atom231(V_nat_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I10_J_0_0,def_lhs_atom231]) ).

fof(def_lhs_atom232,axiom,
    ! [V_nat,V_msg2_H,V_msg1_H] :
      ( lhs_atom232(V_nat,V_msg2_H,V_msg1_H)
    <=> c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_234,plain,
    ! [V_msg1_H,V_msg2_H,V_nat] :
      ( lhs_atom232(V_nat,V_msg2_H,V_msg1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I35_J_0_0,def_lhs_atom232]) ).

fof(def_lhs_atom233,axiom,
    ! [V_nat_H,V_msg_H,V_msg2,V_msg1] :
      ( lhs_atom233(V_nat_H,V_msg_H,V_msg2,V_msg1)
    <=> c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_235,plain,
    ! [V_msg1,V_msg2,V_msg_H,V_nat_H] :
      ( lhs_atom233(V_nat_H,V_msg_H,V_msg2,V_msg1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I49_J_0_0,def_lhs_atom233]) ).

fof(def_lhs_atom234,axiom,
    ! [V_nat,V_msg2_H,V_msg1_H] :
      ( lhs_atom234(V_nat,V_msg2_H,V_msg1_H)
    <=> hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_236,plain,
    ! [V_msg1_H,V_msg2_H,V_nat] :
      ( lhs_atom234(V_nat,V_msg2_H,V_msg1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I40_J_0_0,def_lhs_atom234]) ).

fof(def_lhs_atom235,axiom,
    ! [V_nat,V_msg2_H,V_msg1_H] :
      ( lhs_atom235(V_nat,V_msg2_H,V_msg1_H)
    <=> c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_237,plain,
    ! [V_msg1_H,V_msg2_H,V_nat] :
      ( lhs_atom235(V_nat,V_msg2_H,V_msg1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I41_J_0_0,def_lhs_atom235]) ).

fof(def_lhs_atom236,axiom,
    ! [V_nat_H,V_nat,V_msg_H] :
      ( lhs_atom236(V_nat_H,V_nat,V_msg_H)
    <=> hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_238,plain,
    ! [V_msg_H,V_nat,V_nat_H] :
      ( lhs_atom236(V_nat_H,V_nat,V_msg_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I42_J_0_0,def_lhs_atom236]) ).

fof(def_lhs_atom237,axiom,
    ( lhs_atom237
  <=> class_Lattices_Oupper__semilattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_239,plain,
    ( lhs_atom237
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Oupper__semilattice_0,def_lhs_atom237]) ).

fof(def_lhs_atom238,axiom,
    ( lhs_atom238
  <=> class_Orderings_Opreorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_240,plain,
    ( lhs_atom238
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Opreorder_0,def_lhs_atom238]) ).

fof(def_lhs_atom239,axiom,
    ( lhs_atom239
  <=> class_Orderings_Olinorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_241,plain,
    ( lhs_atom239
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Olinorder_0,def_lhs_atom239]) ).

fof(def_lhs_atom240,axiom,
    ( lhs_atom240
  <=> class_Lattices_Olattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_242,plain,
    ( lhs_atom240
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Olattice_0,def_lhs_atom240]) ).

fof(def_lhs_atom241,axiom,
    ( lhs_atom241
  <=> class_Orderings_Oorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_243,plain,
    ( lhs_atom241
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Oorder_0,def_lhs_atom241]) ).

fof(def_lhs_atom242,axiom,
    ( lhs_atom242
  <=> class_Orderings_Obot(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_244,plain,
    ( lhs_atom242
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Obot_0,def_lhs_atom242]) ).

fof(def_lhs_atom243,axiom,
    ( lhs_atom243
  <=> class_HOL_Oord(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_245,plain,
    ( lhs_atom243
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__HOL_Oord_0,def_lhs_atom243]) ).

fof(def_lhs_atom244,axiom,
    ( lhs_atom244
  <=> class_Lattices_Oupper__semilattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_246,plain,
    ( lhs_atom244
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oupper__semilattice_0,def_lhs_atom244]) ).

fof(def_lhs_atom245,axiom,
    ( lhs_atom245
  <=> class_Lattices_Obounded__lattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_247,plain,
    ( lhs_atom245
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Obounded__lattice_0,def_lhs_atom245]) ).

fof(def_lhs_atom246,axiom,
    ( lhs_atom246
  <=> class_Lattices_Oboolean__algebra(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_248,plain,
    ( lhs_atom246
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oboolean__algebra_0,def_lhs_atom246]) ).

fof(def_lhs_atom247,axiom,
    ( lhs_atom247
  <=> class_Orderings_Opreorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_249,plain,
    ( lhs_atom247
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Opreorder_0,def_lhs_atom247]) ).

fof(def_lhs_atom248,axiom,
    ( lhs_atom248
  <=> class_Lattices_Olattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_250,plain,
    ( lhs_atom248
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Olattice_0,def_lhs_atom248]) ).

fof(def_lhs_atom249,axiom,
    ( lhs_atom249
  <=> class_Orderings_Oorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_251,plain,
    ( lhs_atom249
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Oorder_0,def_lhs_atom249]) ).

fof(def_lhs_atom250,axiom,
    ( lhs_atom250
  <=> class_Orderings_Otop(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_252,plain,
    ( lhs_atom250
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Otop_0,def_lhs_atom250]) ).

fof(def_lhs_atom251,axiom,
    ( lhs_atom251
  <=> class_Orderings_Obot(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_253,plain,
    ( lhs_atom251
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Obot_0,def_lhs_atom251]) ).

fof(def_lhs_atom252,axiom,
    ( lhs_atom252
  <=> class_HOL_Oord(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_254,plain,
    ( lhs_atom252
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Oord_0,def_lhs_atom252]) ).

fof(def_lhs_atom253,axiom,
    ! [V_x,T_a] :
      ( lhs_atom253(V_x,T_a)
    <=> c_fequal(V_x,V_x,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_255,plain,
    ! [T_a,V_x] :
      ( lhs_atom253(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom253]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X26,X24,X41,X42,X43] :
      ( lhs_atom178(X26,X24,X41,X42,X43)
      | ~ $true ),
    file('<stdin>',to_be_clausified_180) ).

fof(c_0_1,axiom,
    ! [X26,X24,X41,X42,X43] :
      ( lhs_atom177(X26,X24,X41,X42,X43)
      | ~ $true ),
    file('<stdin>',to_be_clausified_179) ).

fof(c_0_2,axiom,
    ! [X26,X24,X41,X42,X43] :
      ( lhs_atom176(X26,X24,X41,X42,X43)
      | ~ $true ),
    file('<stdin>',to_be_clausified_178) ).

fof(c_0_3,axiom,
    ! [X26,X24,X41,X42,X43] :
      ( lhs_atom175(X26,X24,X41,X42,X43)
      | ~ $true ),
    file('<stdin>',to_be_clausified_177) ).

fof(c_0_4,axiom,
    ! [X9,X5,X4,X10,X6] :
      ( lhs_atom152(X9,X5,X4,X10,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_152) ).

fof(c_0_5,axiom,
    ! [X9,X5,X4,X10,X6] :
      ( lhs_atom141(X9,X5,X4,X10,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_141) ).

fof(c_0_6,axiom,
    ! [X12,X16,X2,X17,X3] :
      ( lhs_atom127(X12,X16,X2,X17,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_7,axiom,
    ! [X1,X2,X4,X29,X3] :
      ( lhs_atom98(X1,X2,X4,X29,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_8,axiom,
    ! [X9,X4,X3,X10,X6] :
      ( lhs_atom54(X9,X4,X3,X10,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_9,axiom,
    ! [X9,X4,X3,X10,X6] :
      ( lhs_atom48(X9,X4,X3,X10,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_10,axiom,
    ! [X25,X26,X47,X48] :
      ( lhs_atom233(X25,X26,X47,X48)
      | ~ $true ),
    file('<stdin>',to_be_clausified_235) ).

fof(c_0_11,axiom,
    ! [X25,X26,X47,X48] :
      ( lhs_atom226(X25,X26,X47,X48)
      | ~ $true ),
    file('<stdin>',to_be_clausified_228) ).

fof(c_0_12,axiom,
    ! [X7,X30,X29,X3] :
      ( lhs_atom200(X7,X30,X29,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_202) ).

fof(c_0_13,axiom,
    ! [X26,X24,X41,X28] :
      ( lhs_atom195(X26,X24,X41,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_197) ).

fof(c_0_14,axiom,
    ! [X26,X24,X41,X28] :
      ( lhs_atom193(X26,X24,X41,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_195) ).

fof(c_0_15,axiom,
    ! [X7,X30,X29,X3] :
      ( lhs_atom192(X7,X30,X29,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_194) ).

fof(c_0_16,axiom,
    ! [X37,X38,X8,X6] :
      ( lhs_atom150(X37,X38,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_150) ).

fof(c_0_17,axiom,
    ! [X37,X11,X8,X6] :
      ( lhs_atom149(X37,X11,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_149) ).

fof(c_0_18,axiom,
    ! [X18,X19,X8,X6] :
      ( lhs_atom148(X18,X19,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_148) ).

fof(c_0_19,axiom,
    ! [X37,X11,X8,X6] :
      ( lhs_atom147(X37,X11,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_147) ).

fof(c_0_20,axiom,
    ! [X40,X8,X3,X6] :
      ( lhs_atom146(X40,X8,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_146) ).

fof(c_0_21,axiom,
    ! [X8,X7,X30,X31] :
      ( lhs_atom144(X8,X7,X30,X31)
      | ~ $true ),
    file('<stdin>',to_be_clausified_144) ).

fof(c_0_22,axiom,
    ! [X37,X18,X19,X6] :
      ( lhs_atom138(X37,X18,X19,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_23,axiom,
    ! [X38,X19,X39,X6] :
      ( lhs_atom137(X38,X19,X39,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_24,axiom,
    ! [X37,X18,X8,X6] :
      ( lhs_atom136(X37,X18,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_25,axiom,
    ! [X19,X8,X36,X6] :
      ( lhs_atom135(X19,X8,X36,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_26,axiom,
    ! [X8,X9,X10,X6] :
      ( lhs_atom132(X8,X9,X10,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_27,axiom,
    ! [X12,X2,X17,X3] :
      ( lhs_atom126(X12,X2,X17,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_28,axiom,
    ! [X2,X35,X17,X3] :
      ( lhs_atom122(X2,X35,X17,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_29,axiom,
    ! [X2,X17,X14,X3] :
      ( lhs_atom120(X2,X17,X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_30,axiom,
    ! [X2,X21,X17,X3] :
      ( lhs_atom116(X2,X21,X17,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_31,axiom,
    ! [X1,X2,X4,X3] :
      ( lhs_atom113(X1,X2,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_32,axiom,
    ! [X33,X11,X8,X6] :
      ( lhs_atom112(X33,X11,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_33,axiom,
    ! [X1,X2,X4,X3] :
      ( lhs_atom111(X1,X2,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_34,axiom,
    ! [X1,X2,X4,X3] :
      ( lhs_atom108(X1,X2,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_35,axiom,
    ! [X7,X30,X32,X3] :
      ( lhs_atom105(X7,X30,X32,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_36,axiom,
    ! [X1,X2,X4,X3] :
      ( lhs_atom102(X1,X2,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_37,axiom,
    ! [X1,X2,X29,X3] :
      ( lhs_atom101(X1,X2,X29,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_38,axiom,
    ! [X1,X2,X29,X3] :
      ( lhs_atom100(X1,X2,X29,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_39,axiom,
    ! [X14,X4,X3,X6] :
      ( lhs_atom70(X14,X4,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_40,axiom,
    ! [X14,X4,X3,X6] :
      ( lhs_atom69(X14,X4,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_41,axiom,
    ! [X14,X4,X3,X6] :
      ( lhs_atom68(X14,X4,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_42,axiom,
    ! [X16,X2,X17,X3] :
      ( lhs_atom41(X16,X2,X17,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_43,axiom,
    ! [X5,X4,X3,X6] :
      ( lhs_atom35(X5,X4,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_44,axiom,
    ! [X5,X14,X4,X6] :
      ( lhs_atom34(X5,X14,X4,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_45,axiom,
    ! [X1,X2,X4,X3] :
      ( lhs_atom2(X1,X2,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_46,axiom,
    ! [X25,X27,X26] :
      ( lhs_atom236(X25,X27,X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_238) ).

fof(c_0_47,axiom,
    ! [X27,X22,X23] :
      ( lhs_atom235(X27,X22,X23)
      | ~ $true ),
    file('<stdin>',to_be_clausified_237) ).

fof(c_0_48,axiom,
    ! [X27,X22,X23] :
      ( lhs_atom234(X27,X22,X23)
      | ~ $true ),
    file('<stdin>',to_be_clausified_236) ).

fof(c_0_49,axiom,
    ! [X27,X22,X23] :
      ( lhs_atom232(X27,X22,X23)
      | ~ $true ),
    file('<stdin>',to_be_clausified_234) ).

fof(c_0_50,axiom,
    ! [X25,X27,X26] :
      ( lhs_atom230(X25,X27,X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_232) ).

fof(c_0_51,axiom,
    ! [X25,X26,X28] :
      ( lhs_atom227(X25,X26,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_229) ).

fof(c_0_52,axiom,
    ! [X27,X22,X23] :
      ( lhs_atom225(X27,X22,X23)
      | ~ $true ),
    file('<stdin>',to_be_clausified_227) ).

fof(c_0_53,axiom,
    ! [X25,X26,X28] :
      ( lhs_atom224(X25,X26,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_226) ).

fof(c_0_54,axiom,
    ! [X22,X23,X28] :
      ( lhs_atom223(X22,X23,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_225) ).

fof(c_0_55,axiom,
    ! [X22,X23,X28] :
      ( lhs_atom221(X22,X23,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_223) ).

fof(c_0_56,axiom,
    ! [X25,X27,X26] :
      ( lhs_atom217(X25,X27,X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_219) ).

fof(c_0_57,axiom,
    ! [X25,X27,X26] :
      ( lhs_atom213(X25,X27,X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_215) ).

fof(c_0_58,axiom,
    ! [X1,X30,X3] :
      ( lhs_atom210(X1,X30,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_212) ).

fof(c_0_59,axiom,
    ! [X1,X30,X3] :
      ( lhs_atom209(X1,X30,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_211) ).

fof(c_0_60,axiom,
    ! [X2,X17,X3] :
      ( lhs_atom201(X2,X17,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_203) ).

fof(c_0_61,axiom,
    ! [X30,X14,X3] :
      ( lhs_atom199(X30,X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_201) ).

fof(c_0_62,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom198(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_200) ).

fof(c_0_63,axiom,
    ! [X30,X14,X3] :
      ( lhs_atom196(X30,X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_198) ).

fof(c_0_64,axiom,
    ! [X8,X46,X6] :
      ( lhs_atom189(X8,X46,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_191) ).

fof(c_0_65,axiom,
    ! [X19,X8,X6] :
      ( lhs_atom188(X19,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_190) ).

fof(c_0_66,axiom,
    ! [X1,X30,X3] :
      ( lhs_atom187(X1,X30,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_189) ).

fof(c_0_67,axiom,
    ! [X44,X45,X6] :
      ( lhs_atom186(X44,X45,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_188) ).

fof(c_0_68,axiom,
    ! [X11,X8,X6] :
      ( lhs_atom185(X11,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_187) ).

fof(c_0_69,axiom,
    ! [X44,X45,X6] :
      ( lhs_atom184(X44,X45,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_186) ).

fof(c_0_70,axiom,
    ! [X1,X30,X3] :
      ( lhs_atom183(X1,X30,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_185) ).

fof(c_0_71,axiom,
    ! [X30,X4,X3] :
      ( lhs_atom182(X30,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_184) ).

fof(c_0_72,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom179(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_181) ).

fof(c_0_73,axiom,
    ! [X30,X14,X3] :
      ( lhs_atom174(X30,X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_176) ).

fof(c_0_74,axiom,
    ! [X30,X14,X3] :
      ( lhs_atom173(X30,X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_175) ).

fof(c_0_75,axiom,
    ! [X2,X17,X4] :
      ( lhs_atom164(X2,X17,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_166) ).

fof(c_0_76,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom163(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_165) ).

fof(c_0_77,axiom,
    ! [X8,X4,X6] :
      ( lhs_atom157(X8,X4,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_157) ).

fof(c_0_78,axiom,
    ! [X5,X4,X6] :
      ( lhs_atom156(X5,X4,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_156) ).

fof(c_0_79,axiom,
    ! [X8,X3,X6] :
      ( lhs_atom155(X8,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_155) ).

fof(c_0_80,axiom,
    ! [X8,X30,X31] :
      ( lhs_atom153(X8,X30,X31)
      | ~ $true ),
    file('<stdin>',to_be_clausified_153) ).

fof(c_0_81,axiom,
    ! [X8,X30,X31] :
      ( lhs_atom145(X8,X30,X31)
      | ~ $true ),
    file('<stdin>',to_be_clausified_145) ).

fof(c_0_82,axiom,
    ! [X8,X3,X6] :
      ( lhs_atom143(X8,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_143) ).

fof(c_0_83,axiom,
    ! [X8,X3,X6] :
      ( lhs_atom140(X8,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_140) ).

fof(c_0_84,axiom,
    ! [X8,X30,X31] :
      ( lhs_atom133(X8,X30,X31)
      | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_85,axiom,
    ! [X19,X8,X6] :
      ( lhs_atom131(X19,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_86,axiom,
    ! [X19,X8,X6] :
      ( lhs_atom130(X19,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_87,axiom,
    ! [X19,X8,X6] :
      ( lhs_atom129(X19,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_88,axiom,
    ! [X12,X2,X13] :
      ( lhs_atom128(X12,X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_89,axiom,
    ! [X2,X17,X13] :
      ( lhs_atom125(X2,X17,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_90,axiom,
    ! [X12,X2,X13] :
      ( lhs_atom124(X12,X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_91,axiom,
    ! [X17,X14,X3] :
      ( lhs_atom118(X17,X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_92,axiom,
    ! [X21,X17,X3] :
      ( lhs_atom115(X21,X17,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_93,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom110(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_94,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom107(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_95,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom106(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_96,axiom,
    ! [X8,X30,X31] :
      ( lhs_atom103(X8,X30,X31)
      | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_97,axiom,
    ! [X2,X17,X13] :
      ( lhs_atom96(X2,X17,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_98,axiom,
    ! [X25,X26,X24] :
      ( lhs_atom86(X25,X26,X24)
      | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_99,axiom,
    ! [X25,X26,X24] :
      ( lhs_atom85(X25,X26,X24)
      | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_100,axiom,
    ! [X22,X23,X24] :
      ( lhs_atom82(X22,X23,X24)
      | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_101,axiom,
    ! [X22,X23,X24] :
      ( lhs_atom81(X22,X23,X24)
      | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_102,axiom,
    ! [X12,X2,X13] :
      ( lhs_atom79(X12,X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_103,axiom,
    ! [X4,X3,X6] :
      ( lhs_atom77(X4,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_104,axiom,
    ! [X4,X3,X6] :
      ( lhs_atom76(X4,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_105,axiom,
    ! [X4,X3,X6] :
      ( lhs_atom72(X4,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_106,axiom,
    ! [X4,X3,X6] :
      ( lhs_atom71(X4,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_107,axiom,
    ! [X1,X20,X3] :
      ( lhs_atom61(X1,X20,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_108,axiom,
    ! [X19,X8,X6] :
      ( lhs_atom56(X19,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_109,axiom,
    ! [X2,X17,X3] :
      ( lhs_atom47(X2,X17,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_110,axiom,
    ! [X18,X19,X6] :
      ( lhs_atom45(X18,X19,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_111,axiom,
    ! [X5,X4,X6] :
      ( lhs_atom39(X5,X4,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_112,axiom,
    ! [X5,X3,X6] :
      ( lhs_atom23(X5,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_113,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom21(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_114,axiom,
    ! [X5,X3,X6] :
      ( lhs_atom14(X5,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_115,axiom,
    ! [X12,X2,X13] :
      ( lhs_atom12(X12,X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_116,axiom,
    ! [X11,X8,X6] :
      ( lhs_atom11(X11,X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_117,axiom,
    ! [X9,X10,X6] :
      ( lhs_atom9(X9,X10,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_118,axiom,
    ! [X5,X3,X6] :
      ( lhs_atom10(X5,X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_119,axiom,
    ! [X9,X10,X6] :
      ( lhs_atom9(X9,X10,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_120,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom1(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_121,axiom,
    ! [X8,X6] :
      ( lhs_atom253(X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_255) ).

fof(c_0_122,axiom,
    ! [X25,X28] :
      ( lhs_atom231(X25,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_233) ).

fof(c_0_123,axiom,
    ! [X25,X28] :
      ( lhs_atom229(X25,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_231) ).

fof(c_0_124,axiom,
    ! [X1,X3] :
      ( lhs_atom228(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_230) ).

fof(c_0_125,axiom,
    ! [X25,X28] :
      ( lhs_atom222(X25,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_224) ).

fof(c_0_126,axiom,
    ! [X25,X27] :
      ( lhs_atom219(X25,X27)
      | ~ $true ),
    file('<stdin>',to_be_clausified_221) ).

fof(c_0_127,axiom,
    ! [X25,X27] :
      ( lhs_atom215(X25,X27)
      | ~ $true ),
    file('<stdin>',to_be_clausified_217) ).

fof(c_0_128,axiom,
    ! [X25,X28] :
      ( lhs_atom214(X25,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_216) ).

fof(c_0_129,axiom,
    ! [X2,X17] :
      ( lhs_atom207(X2,X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_209) ).

fof(c_0_130,axiom,
    ! [X1,X4] :
      ( lhs_atom206(X1,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_208) ).

fof(c_0_131,axiom,
    ! [X1,X3] :
      ( lhs_atom205(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_207) ).

fof(c_0_132,axiom,
    ! [X8,X3] :
      ( lhs_atom203(X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_205) ).

fof(c_0_133,axiom,
    ! [X21,X4] :
      ( lhs_atom202(X21,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_204) ).

fof(c_0_134,axiom,
    ! [X30,X3] :
      ( lhs_atom191(X30,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_193) ).

fof(c_0_135,axiom,
    ! [X34,X13] :
      ( lhs_atom169(X34,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_171) ).

fof(c_0_136,axiom,
    ! [X13,X3] :
      ( lhs_atom168(X13,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_170) ).

fof(c_0_137,axiom,
    ! [X19,X6] :
      ( lhs_atom160(X19,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_163) ).

fof(c_0_138,axiom,
    ! [X8,X6] :
      ( lhs_atom161(X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_162) ).

fof(c_0_139,axiom,
    ! [X19,X6] :
      ( lhs_atom160(X19,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_161) ).

fof(c_0_140,axiom,
    ! [X18,X6] :
      ( lhs_atom159(X18,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_160) ).

fof(c_0_141,axiom,
    ! [X18,X6] :
      ( lhs_atom159(X18,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_159) ).

fof(c_0_142,axiom,
    ! [X8,X6] :
      ( lhs_atom154(X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_154) ).

fof(c_0_143,axiom,
    ! [X30,X3] :
      ( lhs_atom151(X30,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_151) ).

fof(c_0_144,axiom,
    ! [X8,X6] :
      ( lhs_atom142(X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_142) ).

fof(c_0_145,axiom,
    ! [X30,X3] :
      ( lhs_atom139(X30,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_139) ).

fof(c_0_146,axiom,
    ! [X17,X13] :
      ( lhs_atom123(X17,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_147,axiom,
    ! [X34,X13] :
      ( lhs_atom121(X34,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_148,axiom,
    ! [X21,X13] :
      ( lhs_atom119(X21,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_149,axiom,
    ! [X34,X13] :
      ( lhs_atom117(X34,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_150,axiom,
    ! [X21,X13] :
      ( lhs_atom114(X21,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_151,axiom,
    ! [X4,X3] :
      ( lhs_atom99(X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_152,axiom,
    ! [X2,X3] :
      ( lhs_atom97(X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_153,axiom,
    ! [X27,X26] :
      ( lhs_atom94(X27,X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_154,axiom,
    ! [X27,X26] :
      ( lhs_atom93(X27,X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_155,axiom,
    ! [X26,X28] :
      ( lhs_atom92(X26,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_156,axiom,
    ! [X26,X28] :
      ( lhs_atom91(X26,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_157,axiom,
    ! [X13,X15] :
      ( lhs_atom90(X13,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_158,axiom,
    ! [X27,X26] :
      ( lhs_atom88(X27,X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_159,axiom,
    ! [X27,X26] :
      ( lhs_atom87(X27,X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_160,axiom,
    ! [X13,X15] :
      ( lhs_atom83(X13,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_161,axiom,
    ! [X3,X6] :
      ( lhs_atom80(X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_162,axiom,
    ! [X2,X13] :
      ( lhs_atom78(X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_163,axiom,
    ! [X13,X3] :
      ( lhs_atom75(X13,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_164,axiom,
    ! [X3,X6] :
      ( lhs_atom74(X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_165,axiom,
    ! [X3,X6] :
      ( lhs_atom73(X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_166,axiom,
    ! [X13,X15] :
      ( lhs_atom67(X13,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_167,axiom,
    ! [X13,X15] :
      ( lhs_atom66(X13,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_168,axiom,
    ! [X3,X6] :
      ( lhs_atom65(X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_169,axiom,
    ! [X21,X13] :
      ( lhs_atom64(X21,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_170,axiom,
    ! [X1,X3] :
      ( lhs_atom62(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_171,axiom,
    ! [X13,X15] :
      ( lhs_atom60(X13,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_172,axiom,
    ! [X2,X13] :
      ( lhs_atom55(X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_173,axiom,
    ! [X2,X13] :
      ( lhs_atom53(X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_174,axiom,
    ! [X3,X6] :
      ( lhs_atom52(X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_175,axiom,
    ! [X8,X6] :
      ( lhs_atom51(X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_176,axiom,
    ! [X3,X6] :
      ( lhs_atom49(X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_177,axiom,
    ! [X2,X13] :
      ( lhs_atom46(X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_178,axiom,
    ! [X2,X13] :
      ( lhs_atom44(X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_179,axiom,
    ! [X13,X15] :
      ( lhs_atom43(X13,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_180,axiom,
    ! [X17,X13] :
      ( lhs_atom42(X17,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_181,axiom,
    ! [X2,X13] :
      ( lhs_atom40(X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_182,axiom,
    ! [X13,X15] :
      ( lhs_atom38(X13,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_183,axiom,
    ! [X3,X6] :
      ( lhs_atom37(X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_184,axiom,
    ! [X4,X6] :
      ( lhs_atom36(X4,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_185,axiom,
    ! [X8,X6] :
      ( lhs_atom26(X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_186,axiom,
    ! [X2,X13] :
      ( lhs_atom25(X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_187,axiom,
    ! [X8,X6] :
      ( lhs_atom19(X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_188,axiom,
    ! [X3,X6] :
      ( lhs_atom17(X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_189,axiom,
    ! [X4,X6] :
      ( lhs_atom16(X4,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_190,axiom,
    ! [X3,X6] :
      ( lhs_atom13(X3,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_191,axiom,
    ! [X8,X6] :
      ( lhs_atom8(X8,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_192,axiom,
    ! [X7,X6] :
      ( lhs_atom7(X7,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_193,axiom,
    ! [X5,X6] :
      ( lhs_atom6(X5,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_194,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_195,axiom,
    ! [X13] :
      ( lhs_atom220(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_222) ).

fof(c_0_196,axiom,
    ! [X13] :
      ( lhs_atom218(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_220) ).

fof(c_0_197,axiom,
    ! [X13] :
      ( lhs_atom212(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_214) ).

fof(c_0_198,axiom,
    ! [X13] :
      ( lhs_atom211(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_213) ).

fof(c_0_199,axiom,
    ! [X21] :
      ( lhs_atom208(X21)
      | ~ $true ),
    file('<stdin>',to_be_clausified_210) ).

fof(c_0_200,axiom,
    ! [X3] :
      ( lhs_atom204(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_206) ).

fof(c_0_201,axiom,
    ! [X17] :
      ( lhs_atom194(X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_196) ).

fof(c_0_202,axiom,
    ! [X13] :
      ( lhs_atom190(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_192) ).

fof(c_0_203,axiom,
    ! [X3] :
      ( lhs_atom172(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_174) ).

fof(c_0_204,axiom,
    ! [X21] :
      ( lhs_atom170(X21)
      | ~ $true ),
    file('<stdin>',to_be_clausified_172) ).

fof(c_0_205,axiom,
    ! [X21] :
      ( lhs_atom167(X21)
      | ~ $true ),
    file('<stdin>',to_be_clausified_169) ).

fof(c_0_206,axiom,
    ! [X3] :
      ( lhs_atom165(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_167) ).

fof(c_0_207,axiom,
    ! [X6] :
      ( lhs_atom162(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_164) ).

fof(c_0_208,axiom,
    ! [X6] :
      ( lhs_atom158(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_158) ).

fof(c_0_209,axiom,
    ! [X2] :
      ( lhs_atom134(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_210,axiom,
    ! [X1] :
      ( lhs_atom109(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_211,axiom,
    ! [X3] :
      ( lhs_atom104(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_212,axiom,
    ! [X1] :
      ( lhs_atom95(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_213,axiom,
    ! [X13] :
      ( lhs_atom89(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_214,axiom,
    ! [X13] :
      ( lhs_atom84(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_215,axiom,
    ! [X13] :
      ( lhs_atom59(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_216,axiom,
    ! [X13] :
      ( lhs_atom58(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_217,axiom,
    ! [X13] :
      ( lhs_atom57(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_218,axiom,
    ! [X13] :
      ( lhs_atom50(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_219,axiom,
    ! [X2] :
      ( lhs_atom30(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_220,axiom,
    ! [X6] :
      ( lhs_atom29(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_221,axiom,
    ! [X6] :
      ( lhs_atom28(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_222,axiom,
    ! [X6] :
      ( lhs_atom27(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_223,axiom,
    ! [X6] :
      ( lhs_atom24(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_224,axiom,
    ! [X6] :
      ( lhs_atom22(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_225,axiom,
    ! [X6] :
      ( lhs_atom20(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_226,axiom,
    ! [X6] :
      ( lhs_atom18(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_227,axiom,
    ! [X6] :
      ( lhs_atom15(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_228,axiom,
    ( lhs_atom252
    | ~ $true ),
    file('<stdin>',to_be_clausified_254) ).

fof(c_0_229,axiom,
    ( lhs_atom251
    | ~ $true ),
    file('<stdin>',to_be_clausified_253) ).

fof(c_0_230,axiom,
    ( lhs_atom250
    | ~ $true ),
    file('<stdin>',to_be_clausified_252) ).

fof(c_0_231,axiom,
    ( lhs_atom249
    | ~ $true ),
    file('<stdin>',to_be_clausified_251) ).

fof(c_0_232,axiom,
    ( lhs_atom248
    | ~ $true ),
    file('<stdin>',to_be_clausified_250) ).

fof(c_0_233,axiom,
    ( lhs_atom247
    | ~ $true ),
    file('<stdin>',to_be_clausified_249) ).

fof(c_0_234,axiom,
    ( lhs_atom246
    | ~ $true ),
    file('<stdin>',to_be_clausified_248) ).

fof(c_0_235,axiom,
    ( lhs_atom245
    | ~ $true ),
    file('<stdin>',to_be_clausified_247) ).

fof(c_0_236,axiom,
    ( lhs_atom244
    | ~ $true ),
    file('<stdin>',to_be_clausified_246) ).

fof(c_0_237,axiom,
    ( lhs_atom243
    | ~ $true ),
    file('<stdin>',to_be_clausified_245) ).

fof(c_0_238,axiom,
    ( lhs_atom242
    | ~ $true ),
    file('<stdin>',to_be_clausified_244) ).

fof(c_0_239,axiom,
    ( lhs_atom241
    | ~ $true ),
    file('<stdin>',to_be_clausified_243) ).

fof(c_0_240,axiom,
    ( lhs_atom240
    | ~ $true ),
    file('<stdin>',to_be_clausified_242) ).

fof(c_0_241,axiom,
    ( lhs_atom239
    | ~ $true ),
    file('<stdin>',to_be_clausified_241) ).

fof(c_0_242,axiom,
    ( lhs_atom238
    | ~ $true ),
    file('<stdin>',to_be_clausified_240) ).

fof(c_0_243,axiom,
    ( lhs_atom237
    | ~ $true ),
    file('<stdin>',to_be_clausified_239) ).

fof(c_0_244,axiom,
    ( lhs_atom216
    | ~ $true ),
    file('<stdin>',to_be_clausified_218) ).

fof(c_0_245,axiom,
    ( lhs_atom197
    | ~ $true ),
    file('<stdin>',to_be_clausified_199) ).

fof(c_0_246,axiom,
    ( lhs_atom181
    | ~ $true ),
    file('<stdin>',to_be_clausified_183) ).

fof(c_0_247,axiom,
    ( lhs_atom180
    | ~ $true ),
    file('<stdin>',to_be_clausified_182) ).

fof(c_0_248,axiom,
    ( lhs_atom171
    | ~ $true ),
    file('<stdin>',to_be_clausified_173) ).

fof(c_0_249,axiom,
    ( lhs_atom166
    | ~ $true ),
    file('<stdin>',to_be_clausified_168) ).

fof(c_0_250,axiom,
    ( lhs_atom63
    | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_251,axiom,
    ( lhs_atom33
    | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_252,axiom,
    ( lhs_atom32
    | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_253,axiom,
    ( lhs_atom31
    | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_254,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_255,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_256,plain,
    ! [X26,X24,X41,X42,X43] : lhs_atom178(X26,X24,X41,X42,X43),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_257,plain,
    ! [X26,X24,X41,X42,X43] : lhs_atom177(X26,X24,X41,X42,X43),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_258,plain,
    ! [X26,X24,X41,X42,X43] : lhs_atom176(X26,X24,X41,X42,X43),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_259,plain,
    ! [X26,X24,X41,X42,X43] : lhs_atom175(X26,X24,X41,X42,X43),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_260,plain,
    ! [X9,X5,X4,X10,X6] : lhs_atom152(X9,X5,X4,X10,X6),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_261,plain,
    ! [X9,X5,X4,X10,X6] : lhs_atom141(X9,X5,X4,X10,X6),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_262,plain,
    ! [X12,X16,X2,X17,X3] : lhs_atom127(X12,X16,X2,X17,X3),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_263,plain,
    ! [X1,X2,X4,X29,X3] : lhs_atom98(X1,X2,X4,X29,X3),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_264,plain,
    ! [X9,X4,X3,X10,X6] : lhs_atom54(X9,X4,X3,X10,X6),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_265,plain,
    ! [X9,X4,X3,X10,X6] : lhs_atom48(X9,X4,X3,X10,X6),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_266,plain,
    ! [X25,X26,X47,X48] : lhs_atom233(X25,X26,X47,X48),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_267,plain,
    ! [X25,X26,X47,X48] : lhs_atom226(X25,X26,X47,X48),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_268,plain,
    ! [X7,X30,X29,X3] : lhs_atom200(X7,X30,X29,X3),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_269,plain,
    ! [X26,X24,X41,X28] : lhs_atom195(X26,X24,X41,X28),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_270,plain,
    ! [X26,X24,X41,X28] : lhs_atom193(X26,X24,X41,X28),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_271,plain,
    ! [X7,X30,X29,X3] : lhs_atom192(X7,X30,X29,X3),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_272,plain,
    ! [X37,X38,X8,X6] : lhs_atom150(X37,X38,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_273,plain,
    ! [X37,X11,X8,X6] : lhs_atom149(X37,X11,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_274,plain,
    ! [X18,X19,X8,X6] : lhs_atom148(X18,X19,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_275,plain,
    ! [X37,X11,X8,X6] : lhs_atom147(X37,X11,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_276,plain,
    ! [X40,X8,X3,X6] : lhs_atom146(X40,X8,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_277,plain,
    ! [X8,X7,X30,X31] : lhs_atom144(X8,X7,X30,X31),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_278,plain,
    ! [X37,X18,X19,X6] : lhs_atom138(X37,X18,X19,X6),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_279,plain,
    ! [X38,X19,X39,X6] : lhs_atom137(X38,X19,X39,X6),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_280,plain,
    ! [X37,X18,X8,X6] : lhs_atom136(X37,X18,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_281,plain,
    ! [X19,X8,X36,X6] : lhs_atom135(X19,X8,X36,X6),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_282,plain,
    ! [X8,X9,X10,X6] : lhs_atom132(X8,X9,X10,X6),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_283,plain,
    ! [X12,X2,X17,X3] : lhs_atom126(X12,X2,X17,X3),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_284,plain,
    ! [X2,X35,X17,X3] : lhs_atom122(X2,X35,X17,X3),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_285,plain,
    ! [X2,X17,X14,X3] : lhs_atom120(X2,X17,X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_286,plain,
    ! [X2,X21,X17,X3] : lhs_atom116(X2,X21,X17,X3),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_287,plain,
    ! [X1,X2,X4,X3] : lhs_atom113(X1,X2,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_288,plain,
    ! [X33,X11,X8,X6] : lhs_atom112(X33,X11,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_289,plain,
    ! [X1,X2,X4,X3] : lhs_atom111(X1,X2,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_290,plain,
    ! [X1,X2,X4,X3] : lhs_atom108(X1,X2,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_291,plain,
    ! [X7,X30,X32,X3] : lhs_atom105(X7,X30,X32,X3),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_292,plain,
    ! [X1,X2,X4,X3] : lhs_atom102(X1,X2,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_293,plain,
    ! [X1,X2,X29,X3] : lhs_atom101(X1,X2,X29,X3),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_294,plain,
    ! [X1,X2,X29,X3] : lhs_atom100(X1,X2,X29,X3),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_295,plain,
    ! [X14,X4,X3,X6] : lhs_atom70(X14,X4,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_296,plain,
    ! [X14,X4,X3,X6] : lhs_atom69(X14,X4,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_297,plain,
    ! [X14,X4,X3,X6] : lhs_atom68(X14,X4,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_298,plain,
    ! [X16,X2,X17,X3] : lhs_atom41(X16,X2,X17,X3),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_299,plain,
    ! [X5,X4,X3,X6] : lhs_atom35(X5,X4,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_300,plain,
    ! [X5,X14,X4,X6] : lhs_atom34(X5,X14,X4,X6),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_301,plain,
    ! [X1,X2,X4,X3] : lhs_atom2(X1,X2,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_302,plain,
    ! [X25,X27,X26] : lhs_atom236(X25,X27,X26),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_303,plain,
    ! [X27,X22,X23] : lhs_atom235(X27,X22,X23),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_304,plain,
    ! [X27,X22,X23] : lhs_atom234(X27,X22,X23),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_305,plain,
    ! [X27,X22,X23] : lhs_atom232(X27,X22,X23),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_306,plain,
    ! [X25,X27,X26] : lhs_atom230(X25,X27,X26),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_307,plain,
    ! [X25,X26,X28] : lhs_atom227(X25,X26,X28),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_308,plain,
    ! [X27,X22,X23] : lhs_atom225(X27,X22,X23),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_309,plain,
    ! [X25,X26,X28] : lhs_atom224(X25,X26,X28),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_310,plain,
    ! [X22,X23,X28] : lhs_atom223(X22,X23,X28),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_311,plain,
    ! [X22,X23,X28] : lhs_atom221(X22,X23,X28),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_312,plain,
    ! [X25,X27,X26] : lhs_atom217(X25,X27,X26),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_313,plain,
    ! [X25,X27,X26] : lhs_atom213(X25,X27,X26),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_314,plain,
    ! [X1,X30,X3] : lhs_atom210(X1,X30,X3),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_315,plain,
    ! [X1,X30,X3] : lhs_atom209(X1,X30,X3),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_316,plain,
    ! [X2,X17,X3] : lhs_atom201(X2,X17,X3),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_317,plain,
    ! [X30,X14,X3] : lhs_atom199(X30,X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_318,plain,
    ! [X1,X2,X3] : lhs_atom198(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_319,plain,
    ! [X30,X14,X3] : lhs_atom196(X30,X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_320,plain,
    ! [X8,X46,X6] : lhs_atom189(X8,X46,X6),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_321,plain,
    ! [X19,X8,X6] : lhs_atom188(X19,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_322,plain,
    ! [X1,X30,X3] : lhs_atom187(X1,X30,X3),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_323,plain,
    ! [X44,X45,X6] : lhs_atom186(X44,X45,X6),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_324,plain,
    ! [X11,X8,X6] : lhs_atom185(X11,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_325,plain,
    ! [X44,X45,X6] : lhs_atom184(X44,X45,X6),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_326,plain,
    ! [X1,X30,X3] : lhs_atom183(X1,X30,X3),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_327,plain,
    ! [X30,X4,X3] : lhs_atom182(X30,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_328,plain,
    ! [X1,X2,X3] : lhs_atom179(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_329,plain,
    ! [X30,X14,X3] : lhs_atom174(X30,X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_330,plain,
    ! [X30,X14,X3] : lhs_atom173(X30,X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_331,plain,
    ! [X2,X17,X4] : lhs_atom164(X2,X17,X4),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_332,plain,
    ! [X1,X2,X3] : lhs_atom163(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_333,plain,
    ! [X8,X4,X6] : lhs_atom157(X8,X4,X6),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_334,plain,
    ! [X5,X4,X6] : lhs_atom156(X5,X4,X6),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_335,plain,
    ! [X8,X3,X6] : lhs_atom155(X8,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_336,plain,
    ! [X8,X30,X31] : lhs_atom153(X8,X30,X31),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_337,plain,
    ! [X8,X30,X31] : lhs_atom145(X8,X30,X31),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_338,plain,
    ! [X8,X3,X6] : lhs_atom143(X8,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_339,plain,
    ! [X8,X3,X6] : lhs_atom140(X8,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_340,plain,
    ! [X8,X30,X31] : lhs_atom133(X8,X30,X31),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_341,plain,
    ! [X19,X8,X6] : lhs_atom131(X19,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_342,plain,
    ! [X19,X8,X6] : lhs_atom130(X19,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_343,plain,
    ! [X19,X8,X6] : lhs_atom129(X19,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_344,plain,
    ! [X12,X2,X13] : lhs_atom128(X12,X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_345,plain,
    ! [X2,X17,X13] : lhs_atom125(X2,X17,X13),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_346,plain,
    ! [X12,X2,X13] : lhs_atom124(X12,X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_347,plain,
    ! [X17,X14,X3] : lhs_atom118(X17,X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_348,plain,
    ! [X21,X17,X3] : lhs_atom115(X21,X17,X3),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_349,plain,
    ! [X1,X2,X3] : lhs_atom110(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_350,plain,
    ! [X1,X2,X3] : lhs_atom107(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_351,plain,
    ! [X1,X2,X3] : lhs_atom106(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_352,plain,
    ! [X8,X30,X31] : lhs_atom103(X8,X30,X31),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_353,plain,
    ! [X2,X17,X13] : lhs_atom96(X2,X17,X13),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_354,plain,
    ! [X25,X26,X24] : lhs_atom86(X25,X26,X24),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_355,plain,
    ! [X25,X26,X24] : lhs_atom85(X25,X26,X24),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_356,plain,
    ! [X22,X23,X24] : lhs_atom82(X22,X23,X24),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_357,plain,
    ! [X22,X23,X24] : lhs_atom81(X22,X23,X24),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_358,plain,
    ! [X12,X2,X13] : lhs_atom79(X12,X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_359,plain,
    ! [X4,X3,X6] : lhs_atom77(X4,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_360,plain,
    ! [X4,X3,X6] : lhs_atom76(X4,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_361,plain,
    ! [X4,X3,X6] : lhs_atom72(X4,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_362,plain,
    ! [X4,X3,X6] : lhs_atom71(X4,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_363,plain,
    ! [X1,X20,X3] : lhs_atom61(X1,X20,X3),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_364,plain,
    ! [X19,X8,X6] : lhs_atom56(X19,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_365,plain,
    ! [X2,X17,X3] : lhs_atom47(X2,X17,X3),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_366,plain,
    ! [X18,X19,X6] : lhs_atom45(X18,X19,X6),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_367,plain,
    ! [X5,X4,X6] : lhs_atom39(X5,X4,X6),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_368,plain,
    ! [X5,X3,X6] : lhs_atom23(X5,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_369,plain,
    ! [X1,X2,X3] : lhs_atom21(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_370,plain,
    ! [X5,X3,X6] : lhs_atom14(X5,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_371,plain,
    ! [X12,X2,X13] : lhs_atom12(X12,X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_372,plain,
    ! [X11,X8,X6] : lhs_atom11(X11,X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_373,plain,
    ! [X9,X10,X6] : lhs_atom9(X9,X10,X6),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_374,plain,
    ! [X5,X3,X6] : lhs_atom10(X5,X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_375,plain,
    ! [X9,X10,X6] : lhs_atom9(X9,X10,X6),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_376,plain,
    ! [X1,X2,X3] : lhs_atom1(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_377,plain,
    ! [X8,X6] : lhs_atom253(X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_378,plain,
    ! [X25,X28] : lhs_atom231(X25,X28),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_379,plain,
    ! [X25,X28] : lhs_atom229(X25,X28),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_380,plain,
    ! [X1,X3] : lhs_atom228(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_381,plain,
    ! [X25,X28] : lhs_atom222(X25,X28),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_382,plain,
    ! [X25,X27] : lhs_atom219(X25,X27),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_383,plain,
    ! [X25,X27] : lhs_atom215(X25,X27),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_384,plain,
    ! [X25,X28] : lhs_atom214(X25,X28),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_385,plain,
    ! [X2,X17] : lhs_atom207(X2,X17),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_386,plain,
    ! [X1,X4] : lhs_atom206(X1,X4),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_387,plain,
    ! [X1,X3] : lhs_atom205(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_388,plain,
    ! [X8,X3] : lhs_atom203(X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_389,plain,
    ! [X21,X4] : lhs_atom202(X21,X4),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_390,plain,
    ! [X30,X3] : lhs_atom191(X30,X3),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_391,plain,
    ! [X34,X13] : lhs_atom169(X34,X13),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_392,plain,
    ! [X13,X3] : lhs_atom168(X13,X3),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_393,plain,
    ! [X19,X6] : lhs_atom160(X19,X6),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_394,plain,
    ! [X8,X6] : lhs_atom161(X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_395,plain,
    ! [X19,X6] : lhs_atom160(X19,X6),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_396,plain,
    ! [X18,X6] : lhs_atom159(X18,X6),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_397,plain,
    ! [X18,X6] : lhs_atom159(X18,X6),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_398,plain,
    ! [X8,X6] : lhs_atom154(X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_399,plain,
    ! [X30,X3] : lhs_atom151(X30,X3),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_400,plain,
    ! [X8,X6] : lhs_atom142(X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_401,plain,
    ! [X30,X3] : lhs_atom139(X30,X3),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_402,plain,
    ! [X17,X13] : lhs_atom123(X17,X13),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_403,plain,
    ! [X34,X13] : lhs_atom121(X34,X13),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_404,plain,
    ! [X21,X13] : lhs_atom119(X21,X13),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_405,plain,
    ! [X34,X13] : lhs_atom117(X34,X13),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_406,plain,
    ! [X21,X13] : lhs_atom114(X21,X13),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_407,plain,
    ! [X4,X3] : lhs_atom99(X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_408,plain,
    ! [X2,X3] : lhs_atom97(X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_409,plain,
    ! [X27,X26] : lhs_atom94(X27,X26),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_410,plain,
    ! [X27,X26] : lhs_atom93(X27,X26),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_411,plain,
    ! [X26,X28] : lhs_atom92(X26,X28),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_412,plain,
    ! [X26,X28] : lhs_atom91(X26,X28),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_413,plain,
    ! [X13,X15] : lhs_atom90(X13,X15),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_414,plain,
    ! [X27,X26] : lhs_atom88(X27,X26),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_415,plain,
    ! [X27,X26] : lhs_atom87(X27,X26),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_416,plain,
    ! [X13,X15] : lhs_atom83(X13,X15),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_417,plain,
    ! [X3,X6] : lhs_atom80(X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_418,plain,
    ! [X2,X13] : lhs_atom78(X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_419,plain,
    ! [X13,X3] : lhs_atom75(X13,X3),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_420,plain,
    ! [X3,X6] : lhs_atom74(X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_421,plain,
    ! [X3,X6] : lhs_atom73(X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_422,plain,
    ! [X13,X15] : lhs_atom67(X13,X15),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_423,plain,
    ! [X13,X15] : lhs_atom66(X13,X15),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_424,plain,
    ! [X3,X6] : lhs_atom65(X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_425,plain,
    ! [X21,X13] : lhs_atom64(X21,X13),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_426,plain,
    ! [X1,X3] : lhs_atom62(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_427,plain,
    ! [X13,X15] : lhs_atom60(X13,X15),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_428,plain,
    ! [X2,X13] : lhs_atom55(X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_429,plain,
    ! [X2,X13] : lhs_atom53(X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_430,plain,
    ! [X3,X6] : lhs_atom52(X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_431,plain,
    ! [X8,X6] : lhs_atom51(X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_432,plain,
    ! [X3,X6] : lhs_atom49(X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_433,plain,
    ! [X2,X13] : lhs_atom46(X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_434,plain,
    ! [X2,X13] : lhs_atom44(X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_435,plain,
    ! [X13,X15] : lhs_atom43(X13,X15),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_436,plain,
    ! [X17,X13] : lhs_atom42(X17,X13),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_437,plain,
    ! [X2,X13] : lhs_atom40(X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_438,plain,
    ! [X13,X15] : lhs_atom38(X13,X15),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_439,plain,
    ! [X3,X6] : lhs_atom37(X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_440,plain,
    ! [X4,X6] : lhs_atom36(X4,X6),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_441,plain,
    ! [X8,X6] : lhs_atom26(X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_442,plain,
    ! [X2,X13] : lhs_atom25(X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_443,plain,
    ! [X8,X6] : lhs_atom19(X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_444,plain,
    ! [X3,X6] : lhs_atom17(X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_445,plain,
    ! [X4,X6] : lhs_atom16(X4,X6),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_446,plain,
    ! [X3,X6] : lhs_atom13(X3,X6),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_447,plain,
    ! [X8,X6] : lhs_atom8(X8,X6),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_448,plain,
    ! [X7,X6] : lhs_atom7(X7,X6),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_449,plain,
    ! [X5,X6] : lhs_atom6(X5,X6),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_450,plain,
    ! [X1,X2] : lhs_atom3(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_451,plain,
    ! [X13] : lhs_atom220(X13),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_452,plain,
    ! [X13] : lhs_atom218(X13),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_453,plain,
    ! [X13] : lhs_atom212(X13),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_454,plain,
    ! [X13] : lhs_atom211(X13),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_455,plain,
    ! [X21] : lhs_atom208(X21),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_456,plain,
    ! [X3] : lhs_atom204(X3),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_457,plain,
    ! [X17] : lhs_atom194(X17),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_458,plain,
    ! [X13] : lhs_atom190(X13),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_459,plain,
    ! [X3] : lhs_atom172(X3),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_460,plain,
    ! [X21] : lhs_atom170(X21),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_461,plain,
    ! [X21] : lhs_atom167(X21),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_462,plain,
    ! [X3] : lhs_atom165(X3),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_463,plain,
    ! [X6] : lhs_atom162(X6),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_464,plain,
    ! [X6] : lhs_atom158(X6),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_465,plain,
    ! [X2] : lhs_atom134(X2),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_466,plain,
    ! [X1] : lhs_atom109(X1),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_467,plain,
    ! [X3] : lhs_atom104(X3),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_468,plain,
    ! [X1] : lhs_atom95(X1),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_469,plain,
    ! [X13] : lhs_atom89(X13),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_470,plain,
    ! [X13] : lhs_atom84(X13),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_471,plain,
    ! [X13] : lhs_atom59(X13),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_472,plain,
    ! [X13] : lhs_atom58(X13),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_473,plain,
    ! [X13] : lhs_atom57(X13),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_474,plain,
    ! [X13] : lhs_atom50(X13),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_475,plain,
    ! [X2] : lhs_atom30(X2),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_476,plain,
    ! [X6] : lhs_atom29(X6),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_477,plain,
    ! [X6] : lhs_atom28(X6),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_478,plain,
    ! [X6] : lhs_atom27(X6),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_479,plain,
    ! [X6] : lhs_atom24(X6),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_480,plain,
    ! [X6] : lhs_atom22(X6),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_481,plain,
    ! [X6] : lhs_atom20(X6),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_482,plain,
    ! [X6] : lhs_atom18(X6),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_483,plain,
    ! [X6] : lhs_atom15(X6),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_484,plain,
    lhs_atom252,
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_485,plain,
    lhs_atom251,
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_486,plain,
    lhs_atom250,
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_487,plain,
    lhs_atom249,
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_488,plain,
    lhs_atom248,
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_489,plain,
    lhs_atom247,
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_490,plain,
    lhs_atom246,
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_491,plain,
    lhs_atom245,
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_492,plain,
    lhs_atom244,
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_493,plain,
    lhs_atom243,
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_494,plain,
    lhs_atom242,
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_495,plain,
    lhs_atom241,
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_496,plain,
    lhs_atom240,
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_497,plain,
    lhs_atom239,
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_498,plain,
    lhs_atom238,
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_499,plain,
    lhs_atom237,
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_500,plain,
    lhs_atom216,
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_501,plain,
    lhs_atom197,
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_502,plain,
    lhs_atom181,
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_503,plain,
    lhs_atom180,
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_504,plain,
    lhs_atom171,
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_505,plain,
    lhs_atom166,
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_506,plain,
    lhs_atom63,
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_507,plain,
    lhs_atom33,
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_508,plain,
    lhs_atom32,
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_509,plain,
    lhs_atom31,
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_510,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_511,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_512,plain,
    ! [X44,X45,X46,X47,X48] : lhs_atom178(X44,X45,X46,X47,X48),
    inference(variable_rename,[status(thm)],[c_0_256]) ).

fof(c_0_513,plain,
    ! [X44,X45,X46,X47,X48] : lhs_atom177(X44,X45,X46,X47,X48),
    inference(variable_rename,[status(thm)],[c_0_257]) ).

fof(c_0_514,plain,
    ! [X44,X45,X46,X47,X48] : lhs_atom176(X44,X45,X46,X47,X48),
    inference(variable_rename,[status(thm)],[c_0_258]) ).

fof(c_0_515,plain,
    ! [X44,X45,X46,X47,X48] : lhs_atom175(X44,X45,X46,X47,X48),
    inference(variable_rename,[status(thm)],[c_0_259]) ).

fof(c_0_516,plain,
    ! [X11,X12,X13,X14,X15] : lhs_atom152(X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_260]) ).

fof(c_0_517,plain,
    ! [X11,X12,X13,X14,X15] : lhs_atom141(X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_261]) ).

fof(c_0_518,plain,
    ! [X18,X19,X20,X21,X22] : lhs_atom127(X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_262]) ).

fof(c_0_519,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom98(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_263]) ).

fof(c_0_520,plain,
    ! [X11,X12,X13,X14,X15] : lhs_atom54(X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_264]) ).

fof(c_0_521,plain,
    ! [X11,X12,X13,X14,X15] : lhs_atom48(X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_265]) ).

fof(c_0_522,plain,
    ! [X49,X50,X51,X52] : lhs_atom233(X49,X50,X51,X52),
    inference(variable_rename,[status(thm)],[c_0_266]) ).

fof(c_0_523,plain,
    ! [X49,X50,X51,X52] : lhs_atom226(X49,X50,X51,X52),
    inference(variable_rename,[status(thm)],[c_0_267]) ).

fof(c_0_524,plain,
    ! [X31,X32,X33,X34] : lhs_atom200(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_268]) ).

fof(c_0_525,plain,
    ! [X42,X43,X44,X45] : lhs_atom195(X42,X43,X44,X45),
    inference(variable_rename,[status(thm)],[c_0_269]) ).

fof(c_0_526,plain,
    ! [X42,X43,X44,X45] : lhs_atom193(X42,X43,X44,X45),
    inference(variable_rename,[status(thm)],[c_0_270]) ).

fof(c_0_527,plain,
    ! [X31,X32,X33,X34] : lhs_atom192(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_271]) ).

fof(c_0_528,plain,
    ! [X39,X40,X41,X42] : lhs_atom150(X39,X40,X41,X42),
    inference(variable_rename,[status(thm)],[c_0_272]) ).

fof(c_0_529,plain,
    ! [X38,X39,X40,X41] : lhs_atom149(X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_273]) ).

fof(c_0_530,plain,
    ! [X20,X21,X22,X23] : lhs_atom148(X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_274]) ).

fof(c_0_531,plain,
    ! [X38,X39,X40,X41] : lhs_atom147(X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_275]) ).

fof(c_0_532,plain,
    ! [X41,X42,X43,X44] : lhs_atom146(X41,X42,X43,X44),
    inference(variable_rename,[status(thm)],[c_0_276]) ).

fof(c_0_533,plain,
    ! [X32,X33,X34,X35] : lhs_atom144(X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_277]) ).

fof(c_0_534,plain,
    ! [X38,X39,X40,X41] : lhs_atom138(X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_278]) ).

fof(c_0_535,plain,
    ! [X40,X41,X42,X43] : lhs_atom137(X40,X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_279]) ).

fof(c_0_536,plain,
    ! [X38,X39,X40,X41] : lhs_atom136(X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_280]) ).

fof(c_0_537,plain,
    ! [X37,X38,X39,X40] : lhs_atom135(X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_281]) ).

fof(c_0_538,plain,
    ! [X11,X12,X13,X14] : lhs_atom132(X11,X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_282]) ).

fof(c_0_539,plain,
    ! [X18,X19,X20,X21] : lhs_atom126(X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_283]) ).

fof(c_0_540,plain,
    ! [X36,X37,X38,X39] : lhs_atom122(X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_284]) ).

fof(c_0_541,plain,
    ! [X18,X19,X20,X21] : lhs_atom120(X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_285]) ).

fof(c_0_542,plain,
    ! [X22,X23,X24,X25] : lhs_atom116(X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_286]) ).

fof(c_0_543,plain,
    ! [X5,X6,X7,X8] : lhs_atom113(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_287]) ).

fof(c_0_544,plain,
    ! [X34,X35,X36,X37] : lhs_atom112(X34,X35,X36,X37),
    inference(variable_rename,[status(thm)],[c_0_288]) ).

fof(c_0_545,plain,
    ! [X5,X6,X7,X8] : lhs_atom111(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_289]) ).

fof(c_0_546,plain,
    ! [X5,X6,X7,X8] : lhs_atom108(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_290]) ).

fof(c_0_547,plain,
    ! [X33,X34,X35,X36] : lhs_atom105(X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_291]) ).

fof(c_0_548,plain,
    ! [X5,X6,X7,X8] : lhs_atom102(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_292]) ).

fof(c_0_549,plain,
    ! [X30,X31,X32,X33] : lhs_atom101(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_293]) ).

fof(c_0_550,plain,
    ! [X30,X31,X32,X33] : lhs_atom100(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_294]) ).

fof(c_0_551,plain,
    ! [X15,X16,X17,X18] : lhs_atom70(X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_295]) ).

fof(c_0_552,plain,
    ! [X15,X16,X17,X18] : lhs_atom69(X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_296]) ).

fof(c_0_553,plain,
    ! [X15,X16,X17,X18] : lhs_atom68(X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_297]) ).

fof(c_0_554,plain,
    ! [X18,X19,X20,X21] : lhs_atom41(X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_298]) ).

fof(c_0_555,plain,
    ! [X7,X8,X9,X10] : lhs_atom35(X7,X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_299]) ).

fof(c_0_556,plain,
    ! [X15,X16,X17,X18] : lhs_atom34(X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_300]) ).

fof(c_0_557,plain,
    ! [X5,X6,X7,X8] : lhs_atom2(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_301]) ).

fof(c_0_558,plain,
    ! [X28,X29,X30] : lhs_atom236(X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_302]) ).

fof(c_0_559,plain,
    ! [X28,X29,X30] : lhs_atom235(X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_303]) ).

fof(c_0_560,plain,
    ! [X28,X29,X30] : lhs_atom234(X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_304]) ).

fof(c_0_561,plain,
    ! [X28,X29,X30] : lhs_atom232(X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_305]) ).

fof(c_0_562,plain,
    ! [X28,X29,X30] : lhs_atom230(X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_306]) ).

fof(c_0_563,plain,
    ! [X29,X30,X31] : lhs_atom227(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_307]) ).

fof(c_0_564,plain,
    ! [X28,X29,X30] : lhs_atom225(X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_308]) ).

fof(c_0_565,plain,
    ! [X29,X30,X31] : lhs_atom224(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_309]) ).

fof(c_0_566,plain,
    ! [X29,X30,X31] : lhs_atom223(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_310]) ).

fof(c_0_567,plain,
    ! [X29,X30,X31] : lhs_atom221(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_311]) ).

fof(c_0_568,plain,
    ! [X28,X29,X30] : lhs_atom217(X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_312]) ).

fof(c_0_569,plain,
    ! [X28,X29,X30] : lhs_atom213(X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_313]) ).

fof(c_0_570,plain,
    ! [X31,X32,X33] : lhs_atom210(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_314]) ).

fof(c_0_571,plain,
    ! [X31,X32,X33] : lhs_atom209(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_315]) ).

fof(c_0_572,plain,
    ! [X18,X19,X20] : lhs_atom201(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_316]) ).

fof(c_0_573,plain,
    ! [X31,X32,X33] : lhs_atom199(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_317]) ).

fof(c_0_574,plain,
    ! [X4,X5,X6] : lhs_atom198(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_318]) ).

fof(c_0_575,plain,
    ! [X31,X32,X33] : lhs_atom196(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_319]) ).

fof(c_0_576,plain,
    ! [X47,X48,X49] : lhs_atom189(X47,X48,X49),
    inference(variable_rename,[status(thm)],[c_0_320]) ).

fof(c_0_577,plain,
    ! [X20,X21,X22] : lhs_atom188(X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_321]) ).

fof(c_0_578,plain,
    ! [X31,X32,X33] : lhs_atom187(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_322]) ).

fof(c_0_579,plain,
    ! [X46,X47,X48] : lhs_atom186(X46,X47,X48),
    inference(variable_rename,[status(thm)],[c_0_323]) ).

fof(c_0_580,plain,
    ! [X12,X13,X14] : lhs_atom185(X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_324]) ).

fof(c_0_581,plain,
    ! [X46,X47,X48] : lhs_atom184(X46,X47,X48),
    inference(variable_rename,[status(thm)],[c_0_325]) ).

fof(c_0_582,plain,
    ! [X31,X32,X33] : lhs_atom183(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_326]) ).

fof(c_0_583,plain,
    ! [X31,X32,X33] : lhs_atom182(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_327]) ).

fof(c_0_584,plain,
    ! [X4,X5,X6] : lhs_atom179(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_328]) ).

fof(c_0_585,plain,
    ! [X31,X32,X33] : lhs_atom174(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_329]) ).

fof(c_0_586,plain,
    ! [X31,X32,X33] : lhs_atom173(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_330]) ).

fof(c_0_587,plain,
    ! [X18,X19,X20] : lhs_atom164(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_331]) ).

fof(c_0_588,plain,
    ! [X4,X5,X6] : lhs_atom163(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_332]) ).

fof(c_0_589,plain,
    ! [X9,X10,X11] : lhs_atom157(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_333]) ).

fof(c_0_590,plain,
    ! [X7,X8,X9] : lhs_atom156(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_334]) ).

fof(c_0_591,plain,
    ! [X9,X10,X11] : lhs_atom155(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_335]) ).

fof(c_0_592,plain,
    ! [X32,X33,X34] : lhs_atom153(X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_336]) ).

fof(c_0_593,plain,
    ! [X32,X33,X34] : lhs_atom145(X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_337]) ).

fof(c_0_594,plain,
    ! [X9,X10,X11] : lhs_atom143(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_338]) ).

fof(c_0_595,plain,
    ! [X9,X10,X11] : lhs_atom140(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_339]) ).

fof(c_0_596,plain,
    ! [X32,X33,X34] : lhs_atom133(X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_340]) ).

fof(c_0_597,plain,
    ! [X20,X21,X22] : lhs_atom131(X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_341]) ).

fof(c_0_598,plain,
    ! [X20,X21,X22] : lhs_atom130(X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_342]) ).

fof(c_0_599,plain,
    ! [X20,X21,X22] : lhs_atom129(X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_343]) ).

fof(c_0_600,plain,
    ! [X14,X15,X16] : lhs_atom128(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_344]) ).

fof(c_0_601,plain,
    ! [X18,X19,X20] : lhs_atom125(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_345]) ).

fof(c_0_602,plain,
    ! [X14,X15,X16] : lhs_atom124(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_346]) ).

fof(c_0_603,plain,
    ! [X18,X19,X20] : lhs_atom118(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_347]) ).

fof(c_0_604,plain,
    ! [X22,X23,X24] : lhs_atom115(X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_348]) ).

fof(c_0_605,plain,
    ! [X4,X5,X6] : lhs_atom110(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_349]) ).

fof(c_0_606,plain,
    ! [X4,X5,X6] : lhs_atom107(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_350]) ).

fof(c_0_607,plain,
    ! [X4,X5,X6] : lhs_atom106(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_351]) ).

fof(c_0_608,plain,
    ! [X32,X33,X34] : lhs_atom103(X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_352]) ).

fof(c_0_609,plain,
    ! [X18,X19,X20] : lhs_atom96(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_353]) ).

fof(c_0_610,plain,
    ! [X27,X28,X29] : lhs_atom86(X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_354]) ).

fof(c_0_611,plain,
    ! [X27,X28,X29] : lhs_atom85(X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_355]) ).

fof(c_0_612,plain,
    ! [X25,X26,X27] : lhs_atom82(X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_356]) ).

fof(c_0_613,plain,
    ! [X25,X26,X27] : lhs_atom81(X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_357]) ).

fof(c_0_614,plain,
    ! [X14,X15,X16] : lhs_atom79(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_358]) ).

fof(c_0_615,plain,
    ! [X7,X8,X9] : lhs_atom77(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_359]) ).

fof(c_0_616,plain,
    ! [X7,X8,X9] : lhs_atom76(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_360]) ).

fof(c_0_617,plain,
    ! [X7,X8,X9] : lhs_atom72(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_361]) ).

fof(c_0_618,plain,
    ! [X7,X8,X9] : lhs_atom71(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_362]) ).

fof(c_0_619,plain,
    ! [X21,X22,X23] : lhs_atom61(X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_363]) ).

fof(c_0_620,plain,
    ! [X20,X21,X22] : lhs_atom56(X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_364]) ).

fof(c_0_621,plain,
    ! [X18,X19,X20] : lhs_atom47(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_365]) ).

fof(c_0_622,plain,
    ! [X20,X21,X22] : lhs_atom45(X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_366]) ).

fof(c_0_623,plain,
    ! [X7,X8,X9] : lhs_atom39(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_367]) ).

fof(c_0_624,plain,
    ! [X7,X8,X9] : lhs_atom23(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_368]) ).

fof(c_0_625,plain,
    ! [X4,X5,X6] : lhs_atom21(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_369]) ).

fof(c_0_626,plain,
    ! [X7,X8,X9] : lhs_atom14(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_370]) ).

fof(c_0_627,plain,
    ! [X14,X15,X16] : lhs_atom12(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_371]) ).

fof(c_0_628,plain,
    ! [X12,X13,X14] : lhs_atom11(X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_372]) ).

fof(c_0_629,plain,
    ! [X11,X12,X13] : lhs_atom9(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_373]) ).

fof(c_0_630,plain,
    ! [X7,X8,X9] : lhs_atom10(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_374]) ).

fof(c_0_631,plain,
    ! [X11,X12,X13] : lhs_atom9(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_375]) ).

fof(c_0_632,plain,
    ! [X4,X5,X6] : lhs_atom1(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_376]) ).

fof(c_0_633,plain,
    ! [X9,X10] : lhs_atom253(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_377]) ).

fof(c_0_634,plain,
    ! [X29,X30] : lhs_atom231(X29,X30),
    inference(variable_rename,[status(thm)],[c_0_378]) ).

fof(c_0_635,plain,
    ! [X29,X30] : lhs_atom229(X29,X30),
    inference(variable_rename,[status(thm)],[c_0_379]) ).

fof(c_0_636,plain,
    ! [X4,X5] : lhs_atom228(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_380]) ).

fof(c_0_637,plain,
    ! [X29,X30] : lhs_atom222(X29,X30),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_638,plain,
    ! [X28,X29] : lhs_atom219(X28,X29),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_639,plain,
    ! [X28,X29] : lhs_atom215(X28,X29),
    inference(variable_rename,[status(thm)],[c_0_383]) ).

fof(c_0_640,plain,
    ! [X29,X30] : lhs_atom214(X29,X30),
    inference(variable_rename,[status(thm)],[c_0_384]) ).

fof(c_0_641,plain,
    ! [X18,X19] : lhs_atom207(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_385]) ).

fof(c_0_642,plain,
    ! [X5,X6] : lhs_atom206(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_386]) ).

fof(c_0_643,plain,
    ! [X4,X5] : lhs_atom205(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_387]) ).

fof(c_0_644,plain,
    ! [X9,X10] : lhs_atom203(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_645,plain,
    ! [X22,X23] : lhs_atom202(X22,X23),
    inference(variable_rename,[status(thm)],[c_0_389]) ).

fof(c_0_646,plain,
    ! [X31,X32] : lhs_atom191(X31,X32),
    inference(variable_rename,[status(thm)],[c_0_390]) ).

fof(c_0_647,plain,
    ! [X35,X36] : lhs_atom169(X35,X36),
    inference(variable_rename,[status(thm)],[c_0_391]) ).

fof(c_0_648,plain,
    ! [X14,X15] : lhs_atom168(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_392]) ).

fof(c_0_649,plain,
    ! [X20,X21] : lhs_atom160(X20,X21),
    inference(variable_rename,[status(thm)],[c_0_393]) ).

fof(c_0_650,plain,
    ! [X9,X10] : lhs_atom161(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_394]) ).

fof(c_0_651,plain,
    ! [X20,X21] : lhs_atom160(X20,X21),
    inference(variable_rename,[status(thm)],[c_0_395]) ).

fof(c_0_652,plain,
    ! [X19,X20] : lhs_atom159(X19,X20),
    inference(variable_rename,[status(thm)],[c_0_396]) ).

fof(c_0_653,plain,
    ! [X19,X20] : lhs_atom159(X19,X20),
    inference(variable_rename,[status(thm)],[c_0_397]) ).

fof(c_0_654,plain,
    ! [X9,X10] : lhs_atom154(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_398]) ).

fof(c_0_655,plain,
    ! [X31,X32] : lhs_atom151(X31,X32),
    inference(variable_rename,[status(thm)],[c_0_399]) ).

fof(c_0_656,plain,
    ! [X9,X10] : lhs_atom142(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_400]) ).

fof(c_0_657,plain,
    ! [X31,X32] : lhs_atom139(X31,X32),
    inference(variable_rename,[status(thm)],[c_0_401]) ).

fof(c_0_658,plain,
    ! [X18,X19] : lhs_atom123(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_402]) ).

fof(c_0_659,plain,
    ! [X35,X36] : lhs_atom121(X35,X36),
    inference(variable_rename,[status(thm)],[c_0_403]) ).

fof(c_0_660,plain,
    ! [X22,X23] : lhs_atom119(X22,X23),
    inference(variable_rename,[status(thm)],[c_0_404]) ).

fof(c_0_661,plain,
    ! [X35,X36] : lhs_atom117(X35,X36),
    inference(variable_rename,[status(thm)],[c_0_405]) ).

fof(c_0_662,plain,
    ! [X22,X23] : lhs_atom114(X22,X23),
    inference(variable_rename,[status(thm)],[c_0_406]) ).

fof(c_0_663,plain,
    ! [X5,X6] : lhs_atom99(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_407]) ).

fof(c_0_664,plain,
    ! [X4,X5] : lhs_atom97(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_408]) ).

fof(c_0_665,plain,
    ! [X28,X29] : lhs_atom94(X28,X29),
    inference(variable_rename,[status(thm)],[c_0_409]) ).

fof(c_0_666,plain,
    ! [X28,X29] : lhs_atom93(X28,X29),
    inference(variable_rename,[status(thm)],[c_0_410]) ).

fof(c_0_667,plain,
    ! [X29,X30] : lhs_atom92(X29,X30),
    inference(variable_rename,[status(thm)],[c_0_411]) ).

fof(c_0_668,plain,
    ! [X29,X30] : lhs_atom91(X29,X30),
    inference(variable_rename,[status(thm)],[c_0_412]) ).

fof(c_0_669,plain,
    ! [X16,X17] : lhs_atom90(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_413]) ).

fof(c_0_670,plain,
    ! [X28,X29] : lhs_atom88(X28,X29),
    inference(variable_rename,[status(thm)],[c_0_414]) ).

fof(c_0_671,plain,
    ! [X28,X29] : lhs_atom87(X28,X29),
    inference(variable_rename,[status(thm)],[c_0_415]) ).

fof(c_0_672,plain,
    ! [X16,X17] : lhs_atom83(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_416]) ).

fof(c_0_673,plain,
    ! [X7,X8] : lhs_atom80(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_417]) ).

fof(c_0_674,plain,
    ! [X14,X15] : lhs_atom78(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_418]) ).

fof(c_0_675,plain,
    ! [X14,X15] : lhs_atom75(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_419]) ).

fof(c_0_676,plain,
    ! [X7,X8] : lhs_atom74(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_420]) ).

fof(c_0_677,plain,
    ! [X7,X8] : lhs_atom73(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_421]) ).

fof(c_0_678,plain,
    ! [X16,X17] : lhs_atom67(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_422]) ).

fof(c_0_679,plain,
    ! [X16,X17] : lhs_atom66(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_423]) ).

fof(c_0_680,plain,
    ! [X7,X8] : lhs_atom65(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_424]) ).

fof(c_0_681,plain,
    ! [X22,X23] : lhs_atom64(X22,X23),
    inference(variable_rename,[status(thm)],[c_0_425]) ).

fof(c_0_682,plain,
    ! [X4,X5] : lhs_atom62(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_426]) ).

fof(c_0_683,plain,
    ! [X16,X17] : lhs_atom60(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_427]) ).

fof(c_0_684,plain,
    ! [X14,X15] : lhs_atom55(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_428]) ).

fof(c_0_685,plain,
    ! [X14,X15] : lhs_atom53(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_429]) ).

fof(c_0_686,plain,
    ! [X7,X8] : lhs_atom52(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_430]) ).

fof(c_0_687,plain,
    ! [X9,X10] : lhs_atom51(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_431]) ).

fof(c_0_688,plain,
    ! [X7,X8] : lhs_atom49(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_689,plain,
    ! [X14,X15] : lhs_atom46(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_433]) ).

fof(c_0_690,plain,
    ! [X14,X15] : lhs_atom44(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_434]) ).

fof(c_0_691,plain,
    ! [X16,X17] : lhs_atom43(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_435]) ).

fof(c_0_692,plain,
    ! [X18,X19] : lhs_atom42(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_693,plain,
    ! [X14,X15] : lhs_atom40(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_437]) ).

fof(c_0_694,plain,
    ! [X16,X17] : lhs_atom38(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_438]) ).

fof(c_0_695,plain,
    ! [X7,X8] : lhs_atom37(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_696,plain,
    ! [X7,X8] : lhs_atom36(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_697,plain,
    ! [X9,X10] : lhs_atom26(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_698,plain,
    ! [X14,X15] : lhs_atom25(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_442]) ).

fof(c_0_699,plain,
    ! [X9,X10] : lhs_atom19(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_700,plain,
    ! [X7,X8] : lhs_atom17(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_444]) ).

fof(c_0_701,plain,
    ! [X7,X8] : lhs_atom16(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_445]) ).

fof(c_0_702,plain,
    ! [X7,X8] : lhs_atom13(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_446]) ).

fof(c_0_703,plain,
    ! [X9,X10] : lhs_atom8(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_447]) ).

fof(c_0_704,plain,
    ! [X8,X9] : lhs_atom7(X8,X9),
    inference(variable_rename,[status(thm)],[c_0_448]) ).

fof(c_0_705,plain,
    ! [X7,X8] : lhs_atom6(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_706,plain,
    ! [X3,X4] : lhs_atom3(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_707,plain,
    ! [X14] : lhs_atom220(X14),
    inference(variable_rename,[status(thm)],[c_0_451]) ).

fof(c_0_708,plain,
    ! [X14] : lhs_atom218(X14),
    inference(variable_rename,[status(thm)],[c_0_452]) ).

fof(c_0_709,plain,
    ! [X14] : lhs_atom212(X14),
    inference(variable_rename,[status(thm)],[c_0_453]) ).

fof(c_0_710,plain,
    ! [X14] : lhs_atom211(X14),
    inference(variable_rename,[status(thm)],[c_0_454]) ).

fof(c_0_711,plain,
    ! [X22] : lhs_atom208(X22),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_712,plain,
    ! [X4] : lhs_atom204(X4),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_713,plain,
    ! [X18] : lhs_atom194(X18),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_714,plain,
    ! [X14] : lhs_atom190(X14),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_715,plain,
    ! [X4] : lhs_atom172(X4),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_716,plain,
    ! [X22] : lhs_atom170(X22),
    inference(variable_rename,[status(thm)],[c_0_460]) ).

fof(c_0_717,plain,
    ! [X22] : lhs_atom167(X22),
    inference(variable_rename,[status(thm)],[c_0_461]) ).

fof(c_0_718,plain,
    ! [X4] : lhs_atom165(X4),
    inference(variable_rename,[status(thm)],[c_0_462]) ).

fof(c_0_719,plain,
    ! [X7] : lhs_atom162(X7),
    inference(variable_rename,[status(thm)],[c_0_463]) ).

fof(c_0_720,plain,
    ! [X7] : lhs_atom158(X7),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_721,plain,
    ! [X3] : lhs_atom134(X3),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_722,plain,
    ! [X2] : lhs_atom109(X2),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_723,plain,
    ! [X4] : lhs_atom104(X4),
    inference(variable_rename,[status(thm)],[c_0_467]) ).

fof(c_0_724,plain,
    ! [X2] : lhs_atom95(X2),
    inference(variable_rename,[status(thm)],[c_0_468]) ).

fof(c_0_725,plain,
    ! [X14] : lhs_atom89(X14),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_726,plain,
    ! [X14] : lhs_atom84(X14),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_727,plain,
    ! [X14] : lhs_atom59(X14),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_728,plain,
    ! [X14] : lhs_atom58(X14),
    inference(variable_rename,[status(thm)],[c_0_472]) ).

fof(c_0_729,plain,
    ! [X14] : lhs_atom57(X14),
    inference(variable_rename,[status(thm)],[c_0_473]) ).

fof(c_0_730,plain,
    ! [X14] : lhs_atom50(X14),
    inference(variable_rename,[status(thm)],[c_0_474]) ).

fof(c_0_731,plain,
    ! [X3] : lhs_atom30(X3),
    inference(variable_rename,[status(thm)],[c_0_475]) ).

fof(c_0_732,plain,
    ! [X7] : lhs_atom29(X7),
    inference(variable_rename,[status(thm)],[c_0_476]) ).

fof(c_0_733,plain,
    ! [X7] : lhs_atom28(X7),
    inference(variable_rename,[status(thm)],[c_0_477]) ).

fof(c_0_734,plain,
    ! [X7] : lhs_atom27(X7),
    inference(variable_rename,[status(thm)],[c_0_478]) ).

fof(c_0_735,plain,
    ! [X7] : lhs_atom24(X7),
    inference(variable_rename,[status(thm)],[c_0_479]) ).

fof(c_0_736,plain,
    ! [X7] : lhs_atom22(X7),
    inference(variable_rename,[status(thm)],[c_0_480]) ).

fof(c_0_737,plain,
    ! [X7] : lhs_atom20(X7),
    inference(variable_rename,[status(thm)],[c_0_481]) ).

fof(c_0_738,plain,
    ! [X7] : lhs_atom18(X7),
    inference(variable_rename,[status(thm)],[c_0_482]) ).

fof(c_0_739,plain,
    ! [X7] : lhs_atom15(X7),
    inference(variable_rename,[status(thm)],[c_0_483]) ).

fof(c_0_740,plain,
    lhs_atom252,
    c_0_484 ).

fof(c_0_741,plain,
    lhs_atom251,
    c_0_485 ).

fof(c_0_742,plain,
    lhs_atom250,
    c_0_486 ).

fof(c_0_743,plain,
    lhs_atom249,
    c_0_487 ).

fof(c_0_744,plain,
    lhs_atom248,
    c_0_488 ).

fof(c_0_745,plain,
    lhs_atom247,
    c_0_489 ).

fof(c_0_746,plain,
    lhs_atom246,
    c_0_490 ).

fof(c_0_747,plain,
    lhs_atom245,
    c_0_491 ).

fof(c_0_748,plain,
    lhs_atom244,
    c_0_492 ).

fof(c_0_749,plain,
    lhs_atom243,
    c_0_493 ).

fof(c_0_750,plain,
    lhs_atom242,
    c_0_494 ).

fof(c_0_751,plain,
    lhs_atom241,
    c_0_495 ).

fof(c_0_752,plain,
    lhs_atom240,
    c_0_496 ).

fof(c_0_753,plain,
    lhs_atom239,
    c_0_497 ).

fof(c_0_754,plain,
    lhs_atom238,
    c_0_498 ).

fof(c_0_755,plain,
    lhs_atom237,
    c_0_499 ).

fof(c_0_756,plain,
    lhs_atom216,
    c_0_500 ).

fof(c_0_757,plain,
    lhs_atom197,
    c_0_501 ).

fof(c_0_758,plain,
    lhs_atom181,
    c_0_502 ).

fof(c_0_759,plain,
    lhs_atom180,
    c_0_503 ).

fof(c_0_760,plain,
    lhs_atom171,
    c_0_504 ).

fof(c_0_761,plain,
    lhs_atom166,
    c_0_505 ).

fof(c_0_762,plain,
    lhs_atom63,
    c_0_506 ).

fof(c_0_763,plain,
    lhs_atom33,
    c_0_507 ).

fof(c_0_764,plain,
    lhs_atom32,
    c_0_508 ).

fof(c_0_765,plain,
    lhs_atom31,
    c_0_509 ).

fof(c_0_766,plain,
    lhs_atom5,
    c_0_510 ).

fof(c_0_767,plain,
    lhs_atom4,
    c_0_511 ).

cnf(c_0_768,plain,
    lhs_atom178(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_512]) ).

cnf(c_0_769,plain,
    lhs_atom177(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_513]) ).

cnf(c_0_770,plain,
    lhs_atom176(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_514]) ).

cnf(c_0_771,plain,
    lhs_atom175(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_515]) ).

cnf(c_0_772,plain,
    lhs_atom152(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_773,plain,
    lhs_atom141(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_517]) ).

cnf(c_0_774,plain,
    lhs_atom127(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_518]) ).

cnf(c_0_775,plain,
    lhs_atom98(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_519]) ).

cnf(c_0_776,plain,
    lhs_atom54(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_520]) ).

cnf(c_0_777,plain,
    lhs_atom48(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_521]) ).

cnf(c_0_778,plain,
    lhs_atom233(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_522]) ).

cnf(c_0_779,plain,
    lhs_atom226(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_523]) ).

cnf(c_0_780,plain,
    lhs_atom200(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_524]) ).

cnf(c_0_781,plain,
    lhs_atom195(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_525]) ).

cnf(c_0_782,plain,
    lhs_atom193(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_526]) ).

cnf(c_0_783,plain,
    lhs_atom192(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_527]) ).

cnf(c_0_784,plain,
    lhs_atom150(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_528]) ).

cnf(c_0_785,plain,
    lhs_atom149(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_529]) ).

cnf(c_0_786,plain,
    lhs_atom148(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_530]) ).

cnf(c_0_787,plain,
    lhs_atom147(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_531]) ).

cnf(c_0_788,plain,
    lhs_atom146(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_532]) ).

cnf(c_0_789,plain,
    lhs_atom144(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_533]) ).

cnf(c_0_790,plain,
    lhs_atom138(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_534]) ).

cnf(c_0_791,plain,
    lhs_atom137(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_535]) ).

cnf(c_0_792,plain,
    lhs_atom136(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_536]) ).

cnf(c_0_793,plain,
    lhs_atom135(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_537]) ).

cnf(c_0_794,plain,
    lhs_atom132(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_538]) ).

cnf(c_0_795,plain,
    lhs_atom126(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_539]) ).

cnf(c_0_796,plain,
    lhs_atom122(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_540]) ).

cnf(c_0_797,plain,
    lhs_atom120(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_541]) ).

cnf(c_0_798,plain,
    lhs_atom116(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_542]) ).

cnf(c_0_799,plain,
    lhs_atom113(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_543]) ).

cnf(c_0_800,plain,
    lhs_atom112(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_544]) ).

cnf(c_0_801,plain,
    lhs_atom111(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_545]) ).

cnf(c_0_802,plain,
    lhs_atom108(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_546]) ).

cnf(c_0_803,plain,
    lhs_atom105(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_547]) ).

cnf(c_0_804,plain,
    lhs_atom102(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_548]) ).

cnf(c_0_805,plain,
    lhs_atom101(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_549]) ).

cnf(c_0_806,plain,
    lhs_atom100(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_550]) ).

cnf(c_0_807,plain,
    lhs_atom70(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_551]) ).

cnf(c_0_808,plain,
    lhs_atom69(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_552]) ).

cnf(c_0_809,plain,
    lhs_atom68(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_553]) ).

cnf(c_0_810,plain,
    lhs_atom41(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_554]) ).

cnf(c_0_811,plain,
    lhs_atom35(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_555]) ).

cnf(c_0_812,plain,
    lhs_atom34(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_556]) ).

cnf(c_0_813,plain,
    lhs_atom2(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_557]) ).

cnf(c_0_814,plain,
    lhs_atom236(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_558]) ).

cnf(c_0_815,plain,
    lhs_atom235(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_559]) ).

cnf(c_0_816,plain,
    lhs_atom234(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_560]) ).

cnf(c_0_817,plain,
    lhs_atom232(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_561]) ).

cnf(c_0_818,plain,
    lhs_atom230(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_562]) ).

cnf(c_0_819,plain,
    lhs_atom227(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_563]) ).

cnf(c_0_820,plain,
    lhs_atom225(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_564]) ).

cnf(c_0_821,plain,
    lhs_atom224(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_565]) ).

cnf(c_0_822,plain,
    lhs_atom223(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_566]) ).

cnf(c_0_823,plain,
    lhs_atom221(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_567]) ).

cnf(c_0_824,plain,
    lhs_atom217(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_568]) ).

cnf(c_0_825,plain,
    lhs_atom213(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_569]) ).

cnf(c_0_826,plain,
    lhs_atom210(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_570]) ).

cnf(c_0_827,plain,
    lhs_atom209(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_571]) ).

cnf(c_0_828,plain,
    lhs_atom201(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_572]) ).

cnf(c_0_829,plain,
    lhs_atom199(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_573]) ).

cnf(c_0_830,plain,
    lhs_atom198(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_574]) ).

cnf(c_0_831,plain,
    lhs_atom196(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_575]) ).

cnf(c_0_832,plain,
    lhs_atom189(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_576]) ).

cnf(c_0_833,plain,
    lhs_atom188(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_577]) ).

cnf(c_0_834,plain,
    lhs_atom187(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_578]) ).

cnf(c_0_835,plain,
    lhs_atom186(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_579]) ).

cnf(c_0_836,plain,
    lhs_atom185(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_580]) ).

cnf(c_0_837,plain,
    lhs_atom184(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_581]) ).

cnf(c_0_838,plain,
    lhs_atom183(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_582]) ).

cnf(c_0_839,plain,
    lhs_atom182(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_583]) ).

cnf(c_0_840,plain,
    lhs_atom179(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_584]) ).

cnf(c_0_841,plain,
    lhs_atom174(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_585]) ).

cnf(c_0_842,plain,
    lhs_atom173(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_586]) ).

cnf(c_0_843,plain,
    lhs_atom164(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_587]) ).

cnf(c_0_844,plain,
    lhs_atom163(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_588]) ).

cnf(c_0_845,plain,
    lhs_atom157(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_589]) ).

cnf(c_0_846,plain,
    lhs_atom156(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_590]) ).

cnf(c_0_847,plain,
    lhs_atom155(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_591]) ).

cnf(c_0_848,plain,
    lhs_atom153(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_592]) ).

cnf(c_0_849,plain,
    lhs_atom145(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_593]) ).

cnf(c_0_850,plain,
    lhs_atom143(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_594]) ).

cnf(c_0_851,plain,
    lhs_atom140(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_595]) ).

cnf(c_0_852,plain,
    lhs_atom133(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_596]) ).

cnf(c_0_853,plain,
    lhs_atom131(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_597]) ).

cnf(c_0_854,plain,
    lhs_atom130(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_598]) ).

cnf(c_0_855,plain,
    lhs_atom129(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_599]) ).

cnf(c_0_856,plain,
    lhs_atom128(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_600]) ).

cnf(c_0_857,plain,
    lhs_atom125(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_601]) ).

cnf(c_0_858,plain,
    lhs_atom124(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_602]) ).

cnf(c_0_859,plain,
    lhs_atom118(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_603]) ).

cnf(c_0_860,plain,
    lhs_atom115(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_604]) ).

cnf(c_0_861,plain,
    lhs_atom110(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_605]) ).

cnf(c_0_862,plain,
    lhs_atom107(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_606]) ).

cnf(c_0_863,plain,
    lhs_atom106(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_607]) ).

cnf(c_0_864,plain,
    lhs_atom103(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_608]) ).

cnf(c_0_865,plain,
    lhs_atom96(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_609]) ).

cnf(c_0_866,plain,
    lhs_atom86(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_610]) ).

cnf(c_0_867,plain,
    lhs_atom85(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_611]) ).

cnf(c_0_868,plain,
    lhs_atom82(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_612]) ).

cnf(c_0_869,plain,
    lhs_atom81(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_613]) ).

cnf(c_0_870,plain,
    lhs_atom79(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_614]) ).

cnf(c_0_871,plain,
    lhs_atom77(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_615]) ).

cnf(c_0_872,plain,
    lhs_atom76(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_616]) ).

cnf(c_0_873,plain,
    lhs_atom72(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_617]) ).

cnf(c_0_874,plain,
    lhs_atom71(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_618]) ).

cnf(c_0_875,plain,
    lhs_atom61(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_619]) ).

cnf(c_0_876,plain,
    lhs_atom56(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_620]) ).

cnf(c_0_877,plain,
    lhs_atom47(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_621]) ).

cnf(c_0_878,plain,
    lhs_atom45(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_622]) ).

cnf(c_0_879,plain,
    lhs_atom39(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_623]) ).

cnf(c_0_880,plain,
    lhs_atom23(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_624]) ).

cnf(c_0_881,plain,
    lhs_atom21(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_625]) ).

cnf(c_0_882,plain,
    lhs_atom14(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_626]) ).

cnf(c_0_883,plain,
    lhs_atom12(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_627]) ).

cnf(c_0_884,plain,
    lhs_atom11(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_628]) ).

cnf(c_0_885,plain,
    lhs_atom9(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_629]) ).

cnf(c_0_886,plain,
    lhs_atom10(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_630]) ).

cnf(c_0_887,plain,
    lhs_atom9(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_631]) ).

cnf(c_0_888,plain,
    lhs_atom1(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_632]) ).

cnf(c_0_889,plain,
    lhs_atom253(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_633]) ).

cnf(c_0_890,plain,
    lhs_atom231(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_634]) ).

cnf(c_0_891,plain,
    lhs_atom229(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_635]) ).

cnf(c_0_892,plain,
    lhs_atom228(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_636]) ).

cnf(c_0_893,plain,
    lhs_atom222(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_637]) ).

cnf(c_0_894,plain,
    lhs_atom219(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_638]) ).

cnf(c_0_895,plain,
    lhs_atom215(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_639]) ).

cnf(c_0_896,plain,
    lhs_atom214(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_640]) ).

cnf(c_0_897,plain,
    lhs_atom207(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_641]) ).

cnf(c_0_898,plain,
    lhs_atom206(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_642]) ).

cnf(c_0_899,plain,
    lhs_atom205(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_643]) ).

cnf(c_0_900,plain,
    lhs_atom203(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_644]) ).

cnf(c_0_901,plain,
    lhs_atom202(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_645]) ).

cnf(c_0_902,plain,
    lhs_atom191(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_646]) ).

cnf(c_0_903,plain,
    lhs_atom169(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_647]) ).

cnf(c_0_904,plain,
    lhs_atom168(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_648]) ).

cnf(c_0_905,plain,
    lhs_atom160(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_649]) ).

cnf(c_0_906,plain,
    lhs_atom161(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_650]) ).

cnf(c_0_907,plain,
    lhs_atom160(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_651]) ).

cnf(c_0_908,plain,
    lhs_atom159(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_652]) ).

cnf(c_0_909,plain,
    lhs_atom159(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_653]) ).

cnf(c_0_910,plain,
    lhs_atom154(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_654]) ).

cnf(c_0_911,plain,
    lhs_atom151(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_655]) ).

cnf(c_0_912,plain,
    lhs_atom142(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_656]) ).

cnf(c_0_913,plain,
    lhs_atom139(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_657]) ).

cnf(c_0_914,plain,
    lhs_atom123(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_658]) ).

cnf(c_0_915,plain,
    lhs_atom121(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_659]) ).

cnf(c_0_916,plain,
    lhs_atom119(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_660]) ).

cnf(c_0_917,plain,
    lhs_atom117(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_918,plain,
    lhs_atom114(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_662]) ).

cnf(c_0_919,plain,
    lhs_atom99(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_663]) ).

cnf(c_0_920,plain,
    lhs_atom97(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_664]) ).

cnf(c_0_921,plain,
    lhs_atom94(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_665]) ).

cnf(c_0_922,plain,
    lhs_atom93(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_666]) ).

cnf(c_0_923,plain,
    lhs_atom92(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_667]) ).

cnf(c_0_924,plain,
    lhs_atom91(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_668]) ).

cnf(c_0_925,plain,
    lhs_atom90(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_669]) ).

cnf(c_0_926,plain,
    lhs_atom88(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_670]) ).

cnf(c_0_927,plain,
    lhs_atom87(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_671]) ).

cnf(c_0_928,plain,
    lhs_atom83(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_672]) ).

cnf(c_0_929,plain,
    lhs_atom80(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_673]) ).

cnf(c_0_930,plain,
    lhs_atom78(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_674]) ).

cnf(c_0_931,plain,
    lhs_atom75(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_675]) ).

cnf(c_0_932,plain,
    lhs_atom74(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_676]) ).

cnf(c_0_933,plain,
    lhs_atom73(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_677]) ).

cnf(c_0_934,plain,
    lhs_atom67(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_678]) ).

cnf(c_0_935,plain,
    lhs_atom66(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_679]) ).

cnf(c_0_936,plain,
    lhs_atom65(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_680]) ).

cnf(c_0_937,plain,
    lhs_atom64(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_681]) ).

cnf(c_0_938,plain,
    lhs_atom62(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_682]) ).

cnf(c_0_939,plain,
    lhs_atom60(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_683]) ).

cnf(c_0_940,plain,
    lhs_atom55(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_684]) ).

cnf(c_0_941,plain,
    lhs_atom53(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_685]) ).

cnf(c_0_942,plain,
    lhs_atom52(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_686]) ).

cnf(c_0_943,plain,
    lhs_atom51(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_687]) ).

cnf(c_0_944,plain,
    lhs_atom49(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_688]) ).

cnf(c_0_945,plain,
    lhs_atom46(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_689]) ).

cnf(c_0_946,plain,
    lhs_atom44(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_690]) ).

cnf(c_0_947,plain,
    lhs_atom43(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_691]) ).

cnf(c_0_948,plain,
    lhs_atom42(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_692]) ).

cnf(c_0_949,plain,
    lhs_atom40(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_693]) ).

cnf(c_0_950,plain,
    lhs_atom38(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_694]) ).

cnf(c_0_951,plain,
    lhs_atom37(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_695]) ).

cnf(c_0_952,plain,
    lhs_atom36(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_696]) ).

cnf(c_0_953,plain,
    lhs_atom26(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_697]) ).

cnf(c_0_954,plain,
    lhs_atom25(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_698]) ).

cnf(c_0_955,plain,
    lhs_atom19(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_699]) ).

cnf(c_0_956,plain,
    lhs_atom17(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_700]) ).

cnf(c_0_957,plain,
    lhs_atom16(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_701]) ).

cnf(c_0_958,plain,
    lhs_atom13(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_702]) ).

cnf(c_0_959,plain,
    lhs_atom8(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_703]) ).

cnf(c_0_960,plain,
    lhs_atom7(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_704]) ).

cnf(c_0_961,plain,
    lhs_atom6(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_705]) ).

cnf(c_0_962,plain,
    lhs_atom3(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_706]) ).

cnf(c_0_963,plain,
    lhs_atom220(X1),
    inference(split_conjunct,[status(thm)],[c_0_707]) ).

cnf(c_0_964,plain,
    lhs_atom218(X1),
    inference(split_conjunct,[status(thm)],[c_0_708]) ).

cnf(c_0_965,plain,
    lhs_atom212(X1),
    inference(split_conjunct,[status(thm)],[c_0_709]) ).

cnf(c_0_966,plain,
    lhs_atom211(X1),
    inference(split_conjunct,[status(thm)],[c_0_710]) ).

cnf(c_0_967,plain,
    lhs_atom208(X1),
    inference(split_conjunct,[status(thm)],[c_0_711]) ).

cnf(c_0_968,plain,
    lhs_atom204(X1),
    inference(split_conjunct,[status(thm)],[c_0_712]) ).

cnf(c_0_969,plain,
    lhs_atom194(X1),
    inference(split_conjunct,[status(thm)],[c_0_713]) ).

cnf(c_0_970,plain,
    lhs_atom190(X1),
    inference(split_conjunct,[status(thm)],[c_0_714]) ).

cnf(c_0_971,plain,
    lhs_atom172(X1),
    inference(split_conjunct,[status(thm)],[c_0_715]) ).

cnf(c_0_972,plain,
    lhs_atom170(X1),
    inference(split_conjunct,[status(thm)],[c_0_716]) ).

cnf(c_0_973,plain,
    lhs_atom167(X1),
    inference(split_conjunct,[status(thm)],[c_0_717]) ).

cnf(c_0_974,plain,
    lhs_atom165(X1),
    inference(split_conjunct,[status(thm)],[c_0_718]) ).

cnf(c_0_975,plain,
    lhs_atom162(X1),
    inference(split_conjunct,[status(thm)],[c_0_719]) ).

cnf(c_0_976,plain,
    lhs_atom158(X1),
    inference(split_conjunct,[status(thm)],[c_0_720]) ).

cnf(c_0_977,plain,
    lhs_atom134(X1),
    inference(split_conjunct,[status(thm)],[c_0_721]) ).

cnf(c_0_978,plain,
    lhs_atom109(X1),
    inference(split_conjunct,[status(thm)],[c_0_722]) ).

cnf(c_0_979,plain,
    lhs_atom104(X1),
    inference(split_conjunct,[status(thm)],[c_0_723]) ).

cnf(c_0_980,plain,
    lhs_atom95(X1),
    inference(split_conjunct,[status(thm)],[c_0_724]) ).

cnf(c_0_981,plain,
    lhs_atom89(X1),
    inference(split_conjunct,[status(thm)],[c_0_725]) ).

cnf(c_0_982,plain,
    lhs_atom84(X1),
    inference(split_conjunct,[status(thm)],[c_0_726]) ).

cnf(c_0_983,plain,
    lhs_atom59(X1),
    inference(split_conjunct,[status(thm)],[c_0_727]) ).

cnf(c_0_984,plain,
    lhs_atom58(X1),
    inference(split_conjunct,[status(thm)],[c_0_728]) ).

cnf(c_0_985,plain,
    lhs_atom57(X1),
    inference(split_conjunct,[status(thm)],[c_0_729]) ).

cnf(c_0_986,plain,
    lhs_atom50(X1),
    inference(split_conjunct,[status(thm)],[c_0_730]) ).

cnf(c_0_987,plain,
    lhs_atom30(X1),
    inference(split_conjunct,[status(thm)],[c_0_731]) ).

cnf(c_0_988,plain,
    lhs_atom29(X1),
    inference(split_conjunct,[status(thm)],[c_0_732]) ).

cnf(c_0_989,plain,
    lhs_atom28(X1),
    inference(split_conjunct,[status(thm)],[c_0_733]) ).

cnf(c_0_990,plain,
    lhs_atom27(X1),
    inference(split_conjunct,[status(thm)],[c_0_734]) ).

cnf(c_0_991,plain,
    lhs_atom24(X1),
    inference(split_conjunct,[status(thm)],[c_0_735]) ).

cnf(c_0_992,plain,
    lhs_atom22(X1),
    inference(split_conjunct,[status(thm)],[c_0_736]) ).

cnf(c_0_993,plain,
    lhs_atom20(X1),
    inference(split_conjunct,[status(thm)],[c_0_737]) ).

cnf(c_0_994,plain,
    lhs_atom18(X1),
    inference(split_conjunct,[status(thm)],[c_0_738]) ).

cnf(c_0_995,plain,
    lhs_atom15(X1),
    inference(split_conjunct,[status(thm)],[c_0_739]) ).

cnf(c_0_996,plain,
    lhs_atom252,
    inference(split_conjunct,[status(thm)],[c_0_740]) ).

cnf(c_0_997,plain,
    lhs_atom251,
    inference(split_conjunct,[status(thm)],[c_0_741]) ).

cnf(c_0_998,plain,
    lhs_atom250,
    inference(split_conjunct,[status(thm)],[c_0_742]) ).

cnf(c_0_999,plain,
    lhs_atom249,
    inference(split_conjunct,[status(thm)],[c_0_743]) ).

cnf(c_0_1000,plain,
    lhs_atom248,
    inference(split_conjunct,[status(thm)],[c_0_744]) ).

cnf(c_0_1001,plain,
    lhs_atom247,
    inference(split_conjunct,[status(thm)],[c_0_745]) ).

cnf(c_0_1002,plain,
    lhs_atom246,
    inference(split_conjunct,[status(thm)],[c_0_746]) ).

cnf(c_0_1003,plain,
    lhs_atom245,
    inference(split_conjunct,[status(thm)],[c_0_747]) ).

cnf(c_0_1004,plain,
    lhs_atom244,
    inference(split_conjunct,[status(thm)],[c_0_748]) ).

cnf(c_0_1005,plain,
    lhs_atom243,
    inference(split_conjunct,[status(thm)],[c_0_749]) ).

cnf(c_0_1006,plain,
    lhs_atom242,
    inference(split_conjunct,[status(thm)],[c_0_750]) ).

cnf(c_0_1007,plain,
    lhs_atom241,
    inference(split_conjunct,[status(thm)],[c_0_751]) ).

cnf(c_0_1008,plain,
    lhs_atom240,
    inference(split_conjunct,[status(thm)],[c_0_752]) ).

cnf(c_0_1009,plain,
    lhs_atom239,
    inference(split_conjunct,[status(thm)],[c_0_753]) ).

cnf(c_0_1010,plain,
    lhs_atom238,
    inference(split_conjunct,[status(thm)],[c_0_754]) ).

cnf(c_0_1011,plain,
    lhs_atom237,
    inference(split_conjunct,[status(thm)],[c_0_755]) ).

cnf(c_0_1012,plain,
    lhs_atom216,
    inference(split_conjunct,[status(thm)],[c_0_756]) ).

cnf(c_0_1013,plain,
    lhs_atom197,
    inference(split_conjunct,[status(thm)],[c_0_757]) ).

cnf(c_0_1014,plain,
    lhs_atom181,
    inference(split_conjunct,[status(thm)],[c_0_758]) ).

cnf(c_0_1015,plain,
    lhs_atom180,
    inference(split_conjunct,[status(thm)],[c_0_759]) ).

cnf(c_0_1016,plain,
    lhs_atom171,
    inference(split_conjunct,[status(thm)],[c_0_760]) ).

cnf(c_0_1017,plain,
    lhs_atom166,
    inference(split_conjunct,[status(thm)],[c_0_761]) ).

cnf(c_0_1018,plain,
    lhs_atom63,
    inference(split_conjunct,[status(thm)],[c_0_762]) ).

cnf(c_0_1019,plain,
    lhs_atom33,
    inference(split_conjunct,[status(thm)],[c_0_763]) ).

cnf(c_0_1020,plain,
    lhs_atom32,
    inference(split_conjunct,[status(thm)],[c_0_764]) ).

cnf(c_0_1021,plain,
    lhs_atom31,
    inference(split_conjunct,[status(thm)],[c_0_765]) ).

cnf(c_0_1022,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_766]) ).

cnf(c_0_1023,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_767]) ).

cnf(c_0_1024,plain,
    lhs_atom178(X1,X2,X3,X4,X5),
    c_0_768,
    [final] ).

cnf(c_0_1025,plain,
    lhs_atom177(X1,X2,X3,X4,X5),
    c_0_769,
    [final] ).

cnf(c_0_1026,plain,
    lhs_atom176(X1,X2,X3,X4,X5),
    c_0_770,
    [final] ).

cnf(c_0_1027,plain,
    lhs_atom175(X1,X2,X3,X4,X5),
    c_0_771,
    [final] ).

cnf(c_0_1028,plain,
    lhs_atom152(X1,X2,X3,X4,X5),
    c_0_772,
    [final] ).

cnf(c_0_1029,plain,
    lhs_atom141(X1,X2,X3,X4,X5),
    c_0_773,
    [final] ).

cnf(c_0_1030,plain,
    lhs_atom127(X1,X2,X3,X4,X5),
    c_0_774,
    [final] ).

cnf(c_0_1031,plain,
    lhs_atom98(X1,X2,X3,X4,X5),
    c_0_775,
    [final] ).

cnf(c_0_1032,plain,
    lhs_atom54(X1,X2,X3,X4,X5),
    c_0_776,
    [final] ).

cnf(c_0_1033,plain,
    lhs_atom48(X1,X2,X3,X4,X5),
    c_0_777,
    [final] ).

cnf(c_0_1034,plain,
    lhs_atom233(X1,X2,X3,X4),
    c_0_778,
    [final] ).

cnf(c_0_1035,plain,
    lhs_atom226(X1,X2,X3,X4),
    c_0_779,
    [final] ).

cnf(c_0_1036,plain,
    lhs_atom200(X1,X2,X3,X4),
    c_0_780,
    [final] ).

cnf(c_0_1037,plain,
    lhs_atom195(X1,X2,X3,X4),
    c_0_781,
    [final] ).

cnf(c_0_1038,plain,
    lhs_atom193(X1,X2,X3,X4),
    c_0_782,
    [final] ).

cnf(c_0_1039,plain,
    lhs_atom192(X1,X2,X3,X4),
    c_0_783,
    [final] ).

cnf(c_0_1040,plain,
    lhs_atom150(X1,X2,X3,X4),
    c_0_784,
    [final] ).

cnf(c_0_1041,plain,
    lhs_atom149(X1,X2,X3,X4),
    c_0_785,
    [final] ).

cnf(c_0_1042,plain,
    lhs_atom148(X1,X2,X3,X4),
    c_0_786,
    [final] ).

cnf(c_0_1043,plain,
    lhs_atom147(X1,X2,X3,X4),
    c_0_787,
    [final] ).

cnf(c_0_1044,plain,
    lhs_atom146(X1,X2,X3,X4),
    c_0_788,
    [final] ).

cnf(c_0_1045,plain,
    lhs_atom144(X1,X2,X3,X4),
    c_0_789,
    [final] ).

cnf(c_0_1046,plain,
    lhs_atom138(X1,X2,X3,X4),
    c_0_790,
    [final] ).

cnf(c_0_1047,plain,
    lhs_atom137(X1,X2,X3,X4),
    c_0_791,
    [final] ).

cnf(c_0_1048,plain,
    lhs_atom136(X1,X2,X3,X4),
    c_0_792,
    [final] ).

cnf(c_0_1049,plain,
    lhs_atom135(X1,X2,X3,X4),
    c_0_793,
    [final] ).

cnf(c_0_1050,plain,
    lhs_atom132(X1,X2,X3,X4),
    c_0_794,
    [final] ).

cnf(c_0_1051,plain,
    lhs_atom126(X1,X2,X3,X4),
    c_0_795,
    [final] ).

cnf(c_0_1052,plain,
    lhs_atom122(X1,X2,X3,X4),
    c_0_796,
    [final] ).

cnf(c_0_1053,plain,
    lhs_atom120(X1,X2,X3,X4),
    c_0_797,
    [final] ).

cnf(c_0_1054,plain,
    lhs_atom116(X1,X2,X3,X4),
    c_0_798,
    [final] ).

cnf(c_0_1055,plain,
    lhs_atom113(X1,X2,X3,X4),
    c_0_799,
    [final] ).

cnf(c_0_1056,plain,
    lhs_atom112(X1,X2,X3,X4),
    c_0_800,
    [final] ).

cnf(c_0_1057,plain,
    lhs_atom111(X1,X2,X3,X4),
    c_0_801,
    [final] ).

cnf(c_0_1058,plain,
    lhs_atom108(X1,X2,X3,X4),
    c_0_802,
    [final] ).

cnf(c_0_1059,plain,
    lhs_atom105(X1,X2,X3,X4),
    c_0_803,
    [final] ).

cnf(c_0_1060,plain,
    lhs_atom102(X1,X2,X3,X4),
    c_0_804,
    [final] ).

cnf(c_0_1061,plain,
    lhs_atom101(X1,X2,X3,X4),
    c_0_805,
    [final] ).

cnf(c_0_1062,plain,
    lhs_atom100(X1,X2,X3,X4),
    c_0_806,
    [final] ).

cnf(c_0_1063,plain,
    lhs_atom70(X1,X2,X3,X4),
    c_0_807,
    [final] ).

cnf(c_0_1064,plain,
    lhs_atom69(X1,X2,X3,X4),
    c_0_808,
    [final] ).

cnf(c_0_1065,plain,
    lhs_atom68(X1,X2,X3,X4),
    c_0_809,
    [final] ).

cnf(c_0_1066,plain,
    lhs_atom41(X1,X2,X3,X4),
    c_0_810,
    [final] ).

cnf(c_0_1067,plain,
    lhs_atom35(X1,X2,X3,X4),
    c_0_811,
    [final] ).

cnf(c_0_1068,plain,
    lhs_atom34(X1,X2,X3,X4),
    c_0_812,
    [final] ).

cnf(c_0_1069,plain,
    lhs_atom2(X1,X2,X3,X4),
    c_0_813,
    [final] ).

cnf(c_0_1070,plain,
    lhs_atom236(X1,X2,X3),
    c_0_814,
    [final] ).

cnf(c_0_1071,plain,
    lhs_atom235(X1,X2,X3),
    c_0_815,
    [final] ).

cnf(c_0_1072,plain,
    lhs_atom234(X1,X2,X3),
    c_0_816,
    [final] ).

cnf(c_0_1073,plain,
    lhs_atom232(X1,X2,X3),
    c_0_817,
    [final] ).

cnf(c_0_1074,plain,
    lhs_atom230(X1,X2,X3),
    c_0_818,
    [final] ).

cnf(c_0_1075,plain,
    lhs_atom227(X1,X2,X3),
    c_0_819,
    [final] ).

cnf(c_0_1076,plain,
    lhs_atom225(X1,X2,X3),
    c_0_820,
    [final] ).

cnf(c_0_1077,plain,
    lhs_atom224(X1,X2,X3),
    c_0_821,
    [final] ).

cnf(c_0_1078,plain,
    lhs_atom223(X1,X2,X3),
    c_0_822,
    [final] ).

cnf(c_0_1079,plain,
    lhs_atom221(X1,X2,X3),
    c_0_823,
    [final] ).

cnf(c_0_1080,plain,
    lhs_atom217(X1,X2,X3),
    c_0_824,
    [final] ).

cnf(c_0_1081,plain,
    lhs_atom213(X1,X2,X3),
    c_0_825,
    [final] ).

cnf(c_0_1082,plain,
    lhs_atom210(X1,X2,X3),
    c_0_826,
    [final] ).

cnf(c_0_1083,plain,
    lhs_atom209(X1,X2,X3),
    c_0_827,
    [final] ).

cnf(c_0_1084,plain,
    lhs_atom201(X1,X2,X3),
    c_0_828,
    [final] ).

cnf(c_0_1085,plain,
    lhs_atom199(X1,X2,X3),
    c_0_829,
    [final] ).

cnf(c_0_1086,plain,
    lhs_atom198(X1,X2,X3),
    c_0_830,
    [final] ).

cnf(c_0_1087,plain,
    lhs_atom196(X1,X2,X3),
    c_0_831,
    [final] ).

cnf(c_0_1088,plain,
    lhs_atom189(X1,X2,X3),
    c_0_832,
    [final] ).

cnf(c_0_1089,plain,
    lhs_atom188(X1,X2,X3),
    c_0_833,
    [final] ).

cnf(c_0_1090,plain,
    lhs_atom187(X1,X2,X3),
    c_0_834,
    [final] ).

cnf(c_0_1091,plain,
    lhs_atom186(X1,X2,X3),
    c_0_835,
    [final] ).

cnf(c_0_1092,plain,
    lhs_atom185(X1,X2,X3),
    c_0_836,
    [final] ).

cnf(c_0_1093,plain,
    lhs_atom184(X1,X2,X3),
    c_0_837,
    [final] ).

cnf(c_0_1094,plain,
    lhs_atom183(X1,X2,X3),
    c_0_838,
    [final] ).

cnf(c_0_1095,plain,
    lhs_atom182(X1,X2,X3),
    c_0_839,
    [final] ).

cnf(c_0_1096,plain,
    lhs_atom179(X1,X2,X3),
    c_0_840,
    [final] ).

cnf(c_0_1097,plain,
    lhs_atom174(X1,X2,X3),
    c_0_841,
    [final] ).

cnf(c_0_1098,plain,
    lhs_atom173(X1,X2,X3),
    c_0_842,
    [final] ).

cnf(c_0_1099,plain,
    lhs_atom164(X1,X2,X3),
    c_0_843,
    [final] ).

cnf(c_0_1100,plain,
    lhs_atom163(X1,X2,X3),
    c_0_844,
    [final] ).

cnf(c_0_1101,plain,
    lhs_atom157(X1,X2,X3),
    c_0_845,
    [final] ).

cnf(c_0_1102,plain,
    lhs_atom156(X1,X2,X3),
    c_0_846,
    [final] ).

cnf(c_0_1103,plain,
    lhs_atom155(X1,X2,X3),
    c_0_847,
    [final] ).

cnf(c_0_1104,plain,
    lhs_atom153(X1,X2,X3),
    c_0_848,
    [final] ).

cnf(c_0_1105,plain,
    lhs_atom145(X1,X2,X3),
    c_0_849,
    [final] ).

cnf(c_0_1106,plain,
    lhs_atom143(X1,X2,X3),
    c_0_850,
    [final] ).

cnf(c_0_1107,plain,
    lhs_atom140(X1,X2,X3),
    c_0_851,
    [final] ).

cnf(c_0_1108,plain,
    lhs_atom133(X1,X2,X3),
    c_0_852,
    [final] ).

cnf(c_0_1109,plain,
    lhs_atom131(X1,X2,X3),
    c_0_853,
    [final] ).

cnf(c_0_1110,plain,
    lhs_atom130(X1,X2,X3),
    c_0_854,
    [final] ).

cnf(c_0_1111,plain,
    lhs_atom129(X1,X2,X3),
    c_0_855,
    [final] ).

cnf(c_0_1112,plain,
    lhs_atom128(X1,X2,X3),
    c_0_856,
    [final] ).

cnf(c_0_1113,plain,
    lhs_atom125(X1,X2,X3),
    c_0_857,
    [final] ).

cnf(c_0_1114,plain,
    lhs_atom124(X1,X2,X3),
    c_0_858,
    [final] ).

cnf(c_0_1115,plain,
    lhs_atom118(X1,X2,X3),
    c_0_859,
    [final] ).

cnf(c_0_1116,plain,
    lhs_atom115(X1,X2,X3),
    c_0_860,
    [final] ).

cnf(c_0_1117,plain,
    lhs_atom110(X1,X2,X3),
    c_0_861,
    [final] ).

cnf(c_0_1118,plain,
    lhs_atom107(X1,X2,X3),
    c_0_862,
    [final] ).

cnf(c_0_1119,plain,
    lhs_atom106(X1,X2,X3),
    c_0_863,
    [final] ).

cnf(c_0_1120,plain,
    lhs_atom103(X1,X2,X3),
    c_0_864,
    [final] ).

cnf(c_0_1121,plain,
    lhs_atom96(X1,X2,X3),
    c_0_865,
    [final] ).

cnf(c_0_1122,plain,
    lhs_atom86(X1,X2,X3),
    c_0_866,
    [final] ).

cnf(c_0_1123,plain,
    lhs_atom85(X1,X2,X3),
    c_0_867,
    [final] ).

cnf(c_0_1124,plain,
    lhs_atom82(X1,X2,X3),
    c_0_868,
    [final] ).

cnf(c_0_1125,plain,
    lhs_atom81(X1,X2,X3),
    c_0_869,
    [final] ).

cnf(c_0_1126,plain,
    lhs_atom79(X1,X2,X3),
    c_0_870,
    [final] ).

cnf(c_0_1127,plain,
    lhs_atom77(X1,X2,X3),
    c_0_871,
    [final] ).

cnf(c_0_1128,plain,
    lhs_atom76(X1,X2,X3),
    c_0_872,
    [final] ).

cnf(c_0_1129,plain,
    lhs_atom72(X1,X2,X3),
    c_0_873,
    [final] ).

cnf(c_0_1130,plain,
    lhs_atom71(X1,X2,X3),
    c_0_874,
    [final] ).

cnf(c_0_1131,plain,
    lhs_atom61(X1,X2,X3),
    c_0_875,
    [final] ).

cnf(c_0_1132,plain,
    lhs_atom56(X1,X2,X3),
    c_0_876,
    [final] ).

cnf(c_0_1133,plain,
    lhs_atom47(X1,X2,X3),
    c_0_877,
    [final] ).

cnf(c_0_1134,plain,
    lhs_atom45(X1,X2,X3),
    c_0_878,
    [final] ).

cnf(c_0_1135,plain,
    lhs_atom39(X1,X2,X3),
    c_0_879,
    [final] ).

cnf(c_0_1136,plain,
    lhs_atom23(X1,X2,X3),
    c_0_880,
    [final] ).

cnf(c_0_1137,plain,
    lhs_atom21(X1,X2,X3),
    c_0_881,
    [final] ).

cnf(c_0_1138,plain,
    lhs_atom14(X1,X2,X3),
    c_0_882,
    [final] ).

cnf(c_0_1139,plain,
    lhs_atom12(X1,X2,X3),
    c_0_883,
    [final] ).

cnf(c_0_1140,plain,
    lhs_atom11(X1,X2,X3),
    c_0_884,
    [final] ).

cnf(c_0_1141,plain,
    lhs_atom9(X1,X2,X3),
    c_0_885,
    [final] ).

cnf(c_0_1142,plain,
    lhs_atom10(X1,X2,X3),
    c_0_886,
    [final] ).

cnf(c_0_1143,plain,
    lhs_atom9(X1,X2,X3),
    c_0_887,
    [final] ).

cnf(c_0_1144,plain,
    lhs_atom1(X1,X2,X3),
    c_0_888,
    [final] ).

cnf(c_0_1145,plain,
    lhs_atom253(X1,X2),
    c_0_889,
    [final] ).

cnf(c_0_1146,plain,
    lhs_atom231(X1,X2),
    c_0_890,
    [final] ).

cnf(c_0_1147,plain,
    lhs_atom229(X1,X2),
    c_0_891,
    [final] ).

cnf(c_0_1148,plain,
    lhs_atom228(X1,X2),
    c_0_892,
    [final] ).

cnf(c_0_1149,plain,
    lhs_atom222(X1,X2),
    c_0_893,
    [final] ).

cnf(c_0_1150,plain,
    lhs_atom219(X1,X2),
    c_0_894,
    [final] ).

cnf(c_0_1151,plain,
    lhs_atom215(X1,X2),
    c_0_895,
    [final] ).

cnf(c_0_1152,plain,
    lhs_atom214(X1,X2),
    c_0_896,
    [final] ).

cnf(c_0_1153,plain,
    lhs_atom207(X1,X2),
    c_0_897,
    [final] ).

cnf(c_0_1154,plain,
    lhs_atom206(X1,X2),
    c_0_898,
    [final] ).

cnf(c_0_1155,plain,
    lhs_atom205(X1,X2),
    c_0_899,
    [final] ).

cnf(c_0_1156,plain,
    lhs_atom203(X1,X2),
    c_0_900,
    [final] ).

cnf(c_0_1157,plain,
    lhs_atom202(X1,X2),
    c_0_901,
    [final] ).

cnf(c_0_1158,plain,
    lhs_atom191(X1,X2),
    c_0_902,
    [final] ).

cnf(c_0_1159,plain,
    lhs_atom169(X1,X2),
    c_0_903,
    [final] ).

cnf(c_0_1160,plain,
    lhs_atom168(X1,X2),
    c_0_904,
    [final] ).

cnf(c_0_1161,plain,
    lhs_atom160(X1,X2),
    c_0_905,
    [final] ).

cnf(c_0_1162,plain,
    lhs_atom161(X1,X2),
    c_0_906,
    [final] ).

cnf(c_0_1163,plain,
    lhs_atom160(X1,X2),
    c_0_907,
    [final] ).

cnf(c_0_1164,plain,
    lhs_atom159(X1,X2),
    c_0_908,
    [final] ).

cnf(c_0_1165,plain,
    lhs_atom159(X1,X2),
    c_0_909,
    [final] ).

cnf(c_0_1166,plain,
    lhs_atom154(X1,X2),
    c_0_910,
    [final] ).

cnf(c_0_1167,plain,
    lhs_atom151(X1,X2),
    c_0_911,
    [final] ).

cnf(c_0_1168,plain,
    lhs_atom142(X1,X2),
    c_0_912,
    [final] ).

cnf(c_0_1169,plain,
    lhs_atom139(X1,X2),
    c_0_913,
    [final] ).

cnf(c_0_1170,plain,
    lhs_atom123(X1,X2),
    c_0_914,
    [final] ).

cnf(c_0_1171,plain,
    lhs_atom121(X1,X2),
    c_0_915,
    [final] ).

cnf(c_0_1172,plain,
    lhs_atom119(X1,X2),
    c_0_916,
    [final] ).

cnf(c_0_1173,plain,
    lhs_atom117(X1,X2),
    c_0_917,
    [final] ).

cnf(c_0_1174,plain,
    lhs_atom114(X1,X2),
    c_0_918,
    [final] ).

cnf(c_0_1175,plain,
    lhs_atom99(X1,X2),
    c_0_919,
    [final] ).

cnf(c_0_1176,plain,
    lhs_atom97(X1,X2),
    c_0_920,
    [final] ).

cnf(c_0_1177,plain,
    lhs_atom94(X1,X2),
    c_0_921,
    [final] ).

cnf(c_0_1178,plain,
    lhs_atom93(X1,X2),
    c_0_922,
    [final] ).

cnf(c_0_1179,plain,
    lhs_atom92(X1,X2),
    c_0_923,
    [final] ).

cnf(c_0_1180,plain,
    lhs_atom91(X1,X2),
    c_0_924,
    [final] ).

cnf(c_0_1181,plain,
    lhs_atom90(X1,X2),
    c_0_925,
    [final] ).

cnf(c_0_1182,plain,
    lhs_atom88(X1,X2),
    c_0_926,
    [final] ).

cnf(c_0_1183,plain,
    lhs_atom87(X1,X2),
    c_0_927,
    [final] ).

cnf(c_0_1184,plain,
    lhs_atom83(X1,X2),
    c_0_928,
    [final] ).

cnf(c_0_1185,plain,
    lhs_atom80(X1,X2),
    c_0_929,
    [final] ).

cnf(c_0_1186,plain,
    lhs_atom78(X1,X2),
    c_0_930,
    [final] ).

cnf(c_0_1187,plain,
    lhs_atom75(X1,X2),
    c_0_931,
    [final] ).

cnf(c_0_1188,plain,
    lhs_atom74(X1,X2),
    c_0_932,
    [final] ).

cnf(c_0_1189,plain,
    lhs_atom73(X1,X2),
    c_0_933,
    [final] ).

cnf(c_0_1190,plain,
    lhs_atom67(X1,X2),
    c_0_934,
    [final] ).

cnf(c_0_1191,plain,
    lhs_atom66(X1,X2),
    c_0_935,
    [final] ).

cnf(c_0_1192,plain,
    lhs_atom65(X1,X2),
    c_0_936,
    [final] ).

cnf(c_0_1193,plain,
    lhs_atom64(X1,X2),
    c_0_937,
    [final] ).

cnf(c_0_1194,plain,
    lhs_atom62(X1,X2),
    c_0_938,
    [final] ).

cnf(c_0_1195,plain,
    lhs_atom60(X1,X2),
    c_0_939,
    [final] ).

cnf(c_0_1196,plain,
    lhs_atom55(X1,X2),
    c_0_940,
    [final] ).

cnf(c_0_1197,plain,
    lhs_atom53(X1,X2),
    c_0_941,
    [final] ).

cnf(c_0_1198,plain,
    lhs_atom52(X1,X2),
    c_0_942,
    [final] ).

cnf(c_0_1199,plain,
    lhs_atom51(X1,X2),
    c_0_943,
    [final] ).

cnf(c_0_1200,plain,
    lhs_atom49(X1,X2),
    c_0_944,
    [final] ).

cnf(c_0_1201,plain,
    lhs_atom46(X1,X2),
    c_0_945,
    [final] ).

cnf(c_0_1202,plain,
    lhs_atom44(X1,X2),
    c_0_946,
    [final] ).

cnf(c_0_1203,plain,
    lhs_atom43(X1,X2),
    c_0_947,
    [final] ).

cnf(c_0_1204,plain,
    lhs_atom42(X1,X2),
    c_0_948,
    [final] ).

cnf(c_0_1205,plain,
    lhs_atom40(X1,X2),
    c_0_949,
    [final] ).

cnf(c_0_1206,plain,
    lhs_atom38(X1,X2),
    c_0_950,
    [final] ).

cnf(c_0_1207,plain,
    lhs_atom37(X1,X2),
    c_0_951,
    [final] ).

cnf(c_0_1208,plain,
    lhs_atom36(X1,X2),
    c_0_952,
    [final] ).

cnf(c_0_1209,plain,
    lhs_atom26(X1,X2),
    c_0_953,
    [final] ).

cnf(c_0_1210,plain,
    lhs_atom25(X1,X2),
    c_0_954,
    [final] ).

cnf(c_0_1211,plain,
    lhs_atom19(X1,X2),
    c_0_955,
    [final] ).

cnf(c_0_1212,plain,
    lhs_atom17(X1,X2),
    c_0_956,
    [final] ).

cnf(c_0_1213,plain,
    lhs_atom16(X1,X2),
    c_0_957,
    [final] ).

cnf(c_0_1214,plain,
    lhs_atom13(X1,X2),
    c_0_958,
    [final] ).

cnf(c_0_1215,plain,
    lhs_atom8(X1,X2),
    c_0_959,
    [final] ).

cnf(c_0_1216,plain,
    lhs_atom7(X1,X2),
    c_0_960,
    [final] ).

cnf(c_0_1217,plain,
    lhs_atom6(X1,X2),
    c_0_961,
    [final] ).

cnf(c_0_1218,plain,
    lhs_atom3(X1,X2),
    c_0_962,
    [final] ).

cnf(c_0_1219,plain,
    lhs_atom220(X1),
    c_0_963,
    [final] ).

cnf(c_0_1220,plain,
    lhs_atom218(X1),
    c_0_964,
    [final] ).

cnf(c_0_1221,plain,
    lhs_atom212(X1),
    c_0_965,
    [final] ).

cnf(c_0_1222,plain,
    lhs_atom211(X1),
    c_0_966,
    [final] ).

cnf(c_0_1223,plain,
    lhs_atom208(X1),
    c_0_967,
    [final] ).

cnf(c_0_1224,plain,
    lhs_atom204(X1),
    c_0_968,
    [final] ).

cnf(c_0_1225,plain,
    lhs_atom194(X1),
    c_0_969,
    [final] ).

cnf(c_0_1226,plain,
    lhs_atom190(X1),
    c_0_970,
    [final] ).

cnf(c_0_1227,plain,
    lhs_atom172(X1),
    c_0_971,
    [final] ).

cnf(c_0_1228,plain,
    lhs_atom170(X1),
    c_0_972,
    [final] ).

cnf(c_0_1229,plain,
    lhs_atom167(X1),
    c_0_973,
    [final] ).

cnf(c_0_1230,plain,
    lhs_atom165(X1),
    c_0_974,
    [final] ).

cnf(c_0_1231,plain,
    lhs_atom162(X1),
    c_0_975,
    [final] ).

cnf(c_0_1232,plain,
    lhs_atom158(X1),
    c_0_976,
    [final] ).

cnf(c_0_1233,plain,
    lhs_atom134(X1),
    c_0_977,
    [final] ).

cnf(c_0_1234,plain,
    lhs_atom109(X1),
    c_0_978,
    [final] ).

cnf(c_0_1235,plain,
    lhs_atom104(X1),
    c_0_979,
    [final] ).

cnf(c_0_1236,plain,
    lhs_atom95(X1),
    c_0_980,
    [final] ).

cnf(c_0_1237,plain,
    lhs_atom89(X1),
    c_0_981,
    [final] ).

cnf(c_0_1238,plain,
    lhs_atom84(X1),
    c_0_982,
    [final] ).

cnf(c_0_1239,plain,
    lhs_atom59(X1),
    c_0_983,
    [final] ).

cnf(c_0_1240,plain,
    lhs_atom58(X1),
    c_0_984,
    [final] ).

cnf(c_0_1241,plain,
    lhs_atom57(X1),
    c_0_985,
    [final] ).

cnf(c_0_1242,plain,
    lhs_atom50(X1),
    c_0_986,
    [final] ).

cnf(c_0_1243,plain,
    lhs_atom30(X1),
    c_0_987,
    [final] ).

cnf(c_0_1244,plain,
    lhs_atom29(X1),
    c_0_988,
    [final] ).

cnf(c_0_1245,plain,
    lhs_atom28(X1),
    c_0_989,
    [final] ).

cnf(c_0_1246,plain,
    lhs_atom27(X1),
    c_0_990,
    [final] ).

cnf(c_0_1247,plain,
    lhs_atom24(X1),
    c_0_991,
    [final] ).

cnf(c_0_1248,plain,
    lhs_atom22(X1),
    c_0_992,
    [final] ).

cnf(c_0_1249,plain,
    lhs_atom20(X1),
    c_0_993,
    [final] ).

cnf(c_0_1250,plain,
    lhs_atom18(X1),
    c_0_994,
    [final] ).

cnf(c_0_1251,plain,
    lhs_atom15(X1),
    c_0_995,
    [final] ).

cnf(c_0_1252,plain,
    lhs_atom252,
    c_0_996,
    [final] ).

cnf(c_0_1253,plain,
    lhs_atom251,
    c_0_997,
    [final] ).

cnf(c_0_1254,plain,
    lhs_atom250,
    c_0_998,
    [final] ).

cnf(c_0_1255,plain,
    lhs_atom249,
    c_0_999,
    [final] ).

cnf(c_0_1256,plain,
    lhs_atom248,
    c_0_1000,
    [final] ).

cnf(c_0_1257,plain,
    lhs_atom247,
    c_0_1001,
    [final] ).

cnf(c_0_1258,plain,
    lhs_atom246,
    c_0_1002,
    [final] ).

cnf(c_0_1259,plain,
    lhs_atom245,
    c_0_1003,
    [final] ).

cnf(c_0_1260,plain,
    lhs_atom244,
    c_0_1004,
    [final] ).

cnf(c_0_1261,plain,
    lhs_atom243,
    c_0_1005,
    [final] ).

cnf(c_0_1262,plain,
    lhs_atom242,
    c_0_1006,
    [final] ).

cnf(c_0_1263,plain,
    lhs_atom241,
    c_0_1007,
    [final] ).

cnf(c_0_1264,plain,
    lhs_atom240,
    c_0_1008,
    [final] ).

cnf(c_0_1265,plain,
    lhs_atom239,
    c_0_1009,
    [final] ).

cnf(c_0_1266,plain,
    lhs_atom238,
    c_0_1010,
    [final] ).

cnf(c_0_1267,plain,
    lhs_atom237,
    c_0_1011,
    [final] ).

cnf(c_0_1268,plain,
    lhs_atom216,
    c_0_1012,
    [final] ).

cnf(c_0_1269,plain,
    lhs_atom197,
    c_0_1013,
    [final] ).

cnf(c_0_1270,plain,
    lhs_atom181,
    c_0_1014,
    [final] ).

cnf(c_0_1271,plain,
    lhs_atom180,
    c_0_1015,
    [final] ).

cnf(c_0_1272,plain,
    lhs_atom171,
    c_0_1016,
    [final] ).

cnf(c_0_1273,plain,
    lhs_atom166,
    c_0_1017,
    [final] ).

cnf(c_0_1274,plain,
    lhs_atom63,
    c_0_1018,
    [final] ).

cnf(c_0_1275,plain,
    lhs_atom33,
    c_0_1019,
    [final] ).

cnf(c_0_1276,plain,
    lhs_atom32,
    c_0_1020,
    [final] ).

cnf(c_0_1277,plain,
    lhs_atom31,
    c_0_1021,
    [final] ).

cnf(c_0_1278,plain,
    lhs_atom5,
    c_0_1022,
    [final] ).

cnf(c_0_1279,plain,
    lhs_atom4,
    c_0_1023,
    [final] ).

% End CNF derivation
cnf(c_0_1024_0,axiom,
    c_Event_Oevent_OSays(X5,X4,X2) != c_Event_Oevent_OGets(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_1024,def_lhs_atom178]) ).

cnf(c_0_1025_0,axiom,
    c_Event_Oevent_OSays(X5,X4,X2) != c_Event_Oevent_ONotes(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_1025,def_lhs_atom177]) ).

cnf(c_0_1026_0,axiom,
    c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OSays(X5,X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_1026,def_lhs_atom176]) ).

cnf(c_0_1027_0,axiom,
    c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_OSays(X5,X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_1027,def_lhs_atom175]) ).

cnf(c_0_1028_0,axiom,
    c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),
    inference(unfold_definition,[status(thm)],[c_0_1028,def_lhs_atom152]) ).

cnf(c_0_1029_0,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    inference(unfold_definition,[status(thm)],[c_0_1029,def_lhs_atom141]) ).

cnf(c_0_1030_0,axiom,
    c_Set_Oinsert(c_Message_Omsg_OCrypt(X3,X4),c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X1),X5,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X1),c_Set_Oinsert(c_Message_Omsg_OCrypt(X3,X4),X5,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1030,def_lhs_atom127]) ).

cnf(c_0_1031_0,axiom,
    c_lessequals(c_Event_Oknows(X5,X1),c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X3,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1031,def_lhs_atom98]) ).

cnf(c_0_1032_0,axiom,
    c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1032,def_lhs_atom54]) ).

cnf(c_0_1033_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4,X5),
    inference(unfold_definition,[status(thm)],[c_0_1033,def_lhs_atom48]) ).

cnf(c_0_1034_0,axiom,
    c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OMPair(X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_1034,def_lhs_atom233]) ).

cnf(c_0_1035_0,axiom,
    c_Message_Omsg_OMPair(X4,X3) != c_Message_Omsg_OCrypt(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_1035,def_lhs_atom226]) ).

cnf(c_0_1036_0,axiom,
    hAPP(c_Public_OpublicKey(X1),X3) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X2),X4)),
    inference(unfold_definition,[status(thm)],[c_0_1036,def_lhs_atom200]) ).

cnf(c_0_1037_0,axiom,
    c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_OGets(X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_1037,def_lhs_atom195]) ).

cnf(c_0_1038_0,axiom,
    c_Event_Oevent_OGets(X4,X2) != c_Event_Oevent_ONotes(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_1038,def_lhs_atom193]) ).

cnf(c_0_1039_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X2),X4)) != hAPP(c_Public_OpublicKey(X1),X3),
    inference(unfold_definition,[status(thm)],[c_0_1039,def_lhs_atom192]) ).

cnf(c_0_1040_0,axiom,
    c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1040,def_lhs_atom150]) ).

cnf(c_0_1041_0,axiom,
    c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1041,def_lhs_atom149]) ).

cnf(c_0_1042_0,axiom,
    c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4) = c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_1042,def_lhs_atom148]) ).

cnf(c_0_1043_0,axiom,
    c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4) = c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_1043,def_lhs_atom147]) ).

cnf(c_0_1044_0,axiom,
    c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4) = c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_1044,def_lhs_atom146]) ).

cnf(c_0_1045_0,axiom,
    ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X3),X1)),c_Set_Oimage(c_Public_OpublicKey(X2),X4,tc_Message_Oagent,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1045,def_lhs_atom144]) ).

cnf(c_0_1046_0,axiom,
    c_List_Oappend(c_List_Oappend(X3,X2,X4),X1,X4) = c_List_Oappend(X3,c_List_Oappend(X2,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_1046,def_lhs_atom138]) ).

cnf(c_0_1047_0,axiom,
    c_List_Oappend(X2,c_List_Oappend(X1,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X2,X1,X4),X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_1047,def_lhs_atom137]) ).

cnf(c_0_1048_0,axiom,
    c_List_Oappend(c_List_Oappend(X1,X3,X4),X2,X4) = c_List_Oappend(X1,c_List_Oappend(X3,X2,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_1048,def_lhs_atom136]) ).

cnf(c_0_1049_0,axiom,
    c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_1049,def_lhs_atom135]) ).

cnf(c_0_1050_0,axiom,
    c_in(hAPP(X2,X1),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_1050,def_lhs_atom132]) ).

cnf(c_0_1051_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X3),c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X1),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X1),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X3),X4,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1051,def_lhs_atom126]) ).

cnf(c_0_1052_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X3),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X3),X4,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1052,def_lhs_atom122]) ).

cnf(c_0_1053_0,axiom,
    c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_OAgent(X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X3),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X4,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1053,def_lhs_atom120]) ).

cnf(c_0_1054_0,axiom,
    c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X4,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1054,def_lhs_atom116]) ).

cnf(c_0_1055_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X3,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1055,def_lhs_atom113]) ).

cnf(c_0_1056_0,axiom,
    c_in(X3,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X3,X1,X4),X4),X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_1056,def_lhs_atom112]) ).

cnf(c_0_1057_0,axiom,
    c_Event_Oknows(X4,c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X3,X2),X1,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X4,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1057,def_lhs_atom111]) ).

cnf(c_0_1058_0,axiom,
    c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X3,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1058,def_lhs_atom108]) ).

cnf(c_0_1059_0,axiom,
    ~ c_in(hAPP(c_Public_OpublicKey(X2),X4),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X1),X3,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1059,def_lhs_atom105]) ).

cnf(c_0_1060_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X3,X2),X1,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1060,def_lhs_atom102]) ).

cnf(c_0_1061_0,axiom,
    c_lessequals(c_Event_Oknows(X4,X1),c_Event_Oknows(X4,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1061,def_lhs_atom101]) ).

cnf(c_0_1062_0,axiom,
    c_lessequals(c_Event_Oknows(X4,X1),c_Event_Oknows(X4,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1062,def_lhs_atom100]) ).

cnf(c_0_1063_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1063,def_lhs_atom70]) ).

cnf(c_0_1064_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1064,def_lhs_atom69]) ).

cnf(c_0_1065_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1065,def_lhs_atom68]) ).

cnf(c_0_1066_0,axiom,
    c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X3),c_Set_Oinsert(c_Message_Omsg_OHash(X1),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(X1),c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X3),X4,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1066,def_lhs_atom41]) ).

cnf(c_0_1067_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4),
    inference(unfold_definition,[status(thm)],[c_0_1067,def_lhs_atom35]) ).

cnf(c_0_1068_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X3,X4),X2,tc_fun(X4,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4),
    inference(unfold_definition,[status(thm)],[c_0_1068,def_lhs_atom34]) ).

cnf(c_0_1069_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X3,X2),X1,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1069,def_lhs_atom2]) ).

cnf(c_0_1070_0,axiom,
    hAPP(c_Message_Omsg_OKey,X2) != c_Message_Omsg_OCrypt(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_1070,def_lhs_atom236]) ).

cnf(c_0_1071_0,axiom,
    c_Message_Omsg_OMPair(X3,X2) != hAPP(c_Message_Omsg_OKey,X1),
    inference(unfold_definition,[status(thm)],[c_0_1071,def_lhs_atom235]) ).

cnf(c_0_1072_0,axiom,
    hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OMPair(X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_1072,def_lhs_atom234]) ).

cnf(c_0_1073_0,axiom,
    c_Message_Omsg_OMPair(X3,X2) != c_Message_Omsg_ONonce(X1),
    inference(unfold_definition,[status(thm)],[c_0_1073,def_lhs_atom232]) ).

cnf(c_0_1074_0,axiom,
    c_Message_Omsg_ONonce(X2) != c_Message_Omsg_OCrypt(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_1074,def_lhs_atom230]) ).

cnf(c_0_1075_0,axiom,
    c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OAgent(X3),
    inference(unfold_definition,[status(thm)],[c_0_1075,def_lhs_atom227]) ).

cnf(c_0_1076_0,axiom,
    c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_1076,def_lhs_atom225]) ).

cnf(c_0_1077_0,axiom,
    c_Message_Omsg_OAgent(X3) != c_Message_Omsg_OCrypt(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_1077,def_lhs_atom224]) ).

cnf(c_0_1078_0,axiom,
    c_Message_Omsg_OAgent(X3) != c_Message_Omsg_OMPair(X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_1078,def_lhs_atom223]) ).

cnf(c_0_1079_0,axiom,
    c_Message_Omsg_OMPair(X2,X1) != c_Message_Omsg_OAgent(X3),
    inference(unfold_definition,[status(thm)],[c_0_1079,def_lhs_atom221]) ).

cnf(c_0_1080_0,axiom,
    c_Message_Omsg_OCrypt(X1,X3) != hAPP(c_Message_Omsg_OKey,X2),
    inference(unfold_definition,[status(thm)],[c_0_1080,def_lhs_atom217]) ).

cnf(c_0_1081_0,axiom,
    c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_ONonce(X2),
    inference(unfold_definition,[status(thm)],[c_0_1081,def_lhs_atom213]) ).

cnf(c_0_1082_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1082,def_lhs_atom210]) ).

cnf(c_0_1083_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1083,def_lhs_atom209]) ).

cnf(c_0_1084_0,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(X2,X1),c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1084,def_lhs_atom201]) ).

cnf(c_0_1085_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OshrK,X3),
    inference(unfold_definition,[status(thm)],[c_0_1085,def_lhs_atom199]) ).

cnf(c_0_1086_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X2),X1,tc_Event_Oevent)) = c_Event_Oused(X1),
    inference(unfold_definition,[status(thm)],[c_0_1086,def_lhs_atom198]) ).

cnf(c_0_1087_0,axiom,
    hAPP(c_Public_OshrK,X3) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),
    inference(unfold_definition,[status(thm)],[c_0_1087,def_lhs_atom196]) ).

cnf(c_0_1088_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(unfold_definition,[status(thm)],[c_0_1088,def_lhs_atom189]) ).

cnf(c_0_1089_0,axiom,
    X1 != c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_1089,def_lhs_atom188]) ).

cnf(c_0_1090_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X2),X3))),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1090,def_lhs_atom187]) ).

cnf(c_0_1091_0,axiom,
    c_List_Olist_ONil(X3) != c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_1091,def_lhs_atom186]) ).

cnf(c_0_1092_0,axiom,
    c_List_Olist_OCons(X2,X1,X3) != c_List_Olist_ONil(X3),
    inference(unfold_definition,[status(thm)],[c_0_1092,def_lhs_atom185]) ).

cnf(c_0_1093_0,axiom,
    c_List_Olist_OCons(X2,X1,X3) != c_List_Olist_ONil(X3),
    inference(unfold_definition,[status(thm)],[c_0_1093,def_lhs_atom184]) ).

cnf(c_0_1094_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X2),X3)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1094,def_lhs_atom183]) ).

cnf(c_0_1095_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X3)),c_Event_OinitState(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1095,def_lhs_atom182]) ).

cnf(c_0_1096_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X2),X1,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
    inference(unfold_definition,[status(thm)],[c_0_1096,def_lhs_atom179]) ).

cnf(c_0_1097_0,axiom,
    hAPP(c_Public_OshrK,X3) != hAPP(c_Public_OpublicKey(X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_1097,def_lhs_atom174]) ).

cnf(c_0_1098_0,axiom,
    hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OshrK,X3),
    inference(unfold_definition,[status(thm)],[c_0_1098,def_lhs_atom173]) ).

cnf(c_0_1099_0,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(X2,X1),c_Message_Oparts(c_Event_OinitState(X3)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1099,def_lhs_atom164]) ).

cnf(c_0_1100_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
    inference(unfold_definition,[status(thm)],[c_0_1100,def_lhs_atom163]) ).

cnf(c_0_1101_0,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_1101,def_lhs_atom157]) ).

cnf(c_0_1102_0,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_1102,def_lhs_atom156]) ).

cnf(c_0_1103_0,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_1103,def_lhs_atom155]) ).

cnf(c_0_1104_0,axiom,
    ~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1104,def_lhs_atom153]) ).

cnf(c_0_1105_0,axiom,
    ~ c_in(hAPP(c_Public_OpublicKey(X2),X1),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1105,def_lhs_atom145]) ).

cnf(c_0_1106_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_1106,def_lhs_atom143]) ).

cnf(c_0_1107_0,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    inference(unfold_definition,[status(thm)],[c_0_1107,def_lhs_atom140]) ).

cnf(c_0_1108_0,axiom,
    ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X2),X1)),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1108,def_lhs_atom133]) ).

cnf(c_0_1109_0,axiom,
    c_List_Olist_OCons(X2,X1,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X2,X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_1109,def_lhs_atom131]) ).

cnf(c_0_1110_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_1110,def_lhs_atom130]) ).

cnf(c_0_1111_0,axiom,
    c_List_Oset(c_List_Olist_OCons(X2,X1,X3),X3) = c_Set_Oinsert(X2,c_List_Oset(X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_1111,def_lhs_atom129]) ).

cnf(c_0_1112_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X1),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X1),c_Message_Oparts(c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1112,def_lhs_atom128]) ).

cnf(c_0_1113_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X1),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X1),c_Message_Oparts(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1113,def_lhs_atom125]) ).

cnf(c_0_1114_0,axiom,
    c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X1),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X1),c_Message_Oanalz(c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1114,def_lhs_atom124]) ).

cnf(c_0_1115_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1115,def_lhs_atom118]) ).

cnf(c_0_1116_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X3,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1116,def_lhs_atom115]) ).

cnf(c_0_1117_0,axiom,
    c_Event_Oknows(X3,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X2),X1,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X3,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1117,def_lhs_atom110]) ).

cnf(c_0_1118_0,axiom,
    c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1118,def_lhs_atom107]) ).

cnf(c_0_1119_0,axiom,
    c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1119,def_lhs_atom106]) ).

cnf(c_0_1120_0,axiom,
    ~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1120,def_lhs_atom103]) ).

cnf(c_0_1121_0,axiom,
    c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X1),X3,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X1),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1121,def_lhs_atom96]) ).

cnf(c_0_1122_0,axiom,
    c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OHash(X3),
    inference(unfold_definition,[status(thm)],[c_0_1122,def_lhs_atom86]) ).

cnf(c_0_1123_0,axiom,
    c_Message_Omsg_OHash(X3) != c_Message_Omsg_OCrypt(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_1123,def_lhs_atom85]) ).

cnf(c_0_1124_0,axiom,
    c_Message_Omsg_OHash(X3) != c_Message_Omsg_OMPair(X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_1124,def_lhs_atom82]) ).

cnf(c_0_1125_0,axiom,
    c_Message_Omsg_OMPair(X2,X1) != c_Message_Omsg_OHash(X3),
    inference(unfold_definition,[status(thm)],[c_0_1125,def_lhs_atom81]) ).

cnf(c_0_1126_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X1),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
    inference(unfold_definition,[status(thm)],[c_0_1126,def_lhs_atom79]) ).

cnf(c_0_1127_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1127,def_lhs_atom77]) ).

cnf(c_0_1128_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1128,def_lhs_atom76]) ).

cnf(c_0_1129_0,axiom,
    c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1129,def_lhs_atom72]) ).

cnf(c_0_1130_0,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1130,def_lhs_atom71]) ).

cnf(c_0_1131_0,axiom,
    c_lessequals(c_Event_Oknows(X3,X1),c_Event_Oknows(X3,c_List_Olist_OCons(X2,X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1131,def_lhs_atom61]) ).

cnf(c_0_1132_0,axiom,
    c_lessequals(c_List_Oset(X1,X3),c_List_Oset(c_List_Olist_OCons(X2,X1,X3),X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1132,def_lhs_atom56]) ).

cnf(c_0_1133_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Set_Oinsert(c_Message_Omsg_OHash(X1),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(X1),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X3,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1133,def_lhs_atom47]) ).

cnf(c_0_1134_0,axiom,
    c_List_Oset(c_List_Oappend(X2,X1,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X2,X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1134,def_lhs_atom45]) ).

cnf(c_0_1135_0,axiom,
    c_lessequals(X2,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1135,def_lhs_atom39]) ).

cnf(c_0_1136_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_1136,def_lhs_atom23]) ).

cnf(c_0_1137_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(X2,c_Event_Oknows(X3,X1),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X3,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1137,def_lhs_atom21]) ).

cnf(c_0_1138_0,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1138,def_lhs_atom14]) ).

cnf(c_0_1139_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,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(X3),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1139,def_lhs_atom12]) ).

cnf(c_0_1140_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_1140,def_lhs_atom11]) ).

cnf(c_0_1141_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1141,def_lhs_atom9]) ).

cnf(c_0_1142_0,axiom,
    c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1142,def_lhs_atom10]) ).

cnf(c_0_1143_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1143,def_lhs_atom9]) ).

cnf(c_0_1144_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X2),X1,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1144,def_lhs_atom1]) ).

cnf(c_0_1145_0,axiom,
    c_fequal(X1,X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_1145,def_lhs_atom253]) ).

cnf(c_0_1146_0,axiom,
    c_Message_Omsg_OAgent(X2) != c_Message_Omsg_ONonce(X1),
    inference(unfold_definition,[status(thm)],[c_0_1146,def_lhs_atom231]) ).

cnf(c_0_1147_0,axiom,
    hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OAgent(X2),
    inference(unfold_definition,[status(thm)],[c_0_1147,def_lhs_atom229]) ).

cnf(c_0_1148_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_Oknows(X2,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1148,def_lhs_atom228]) ).

cnf(c_0_1149_0,axiom,
    c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
    inference(unfold_definition,[status(thm)],[c_0_1149,def_lhs_atom222]) ).

cnf(c_0_1150_0,axiom,
    c_Message_Omsg_ONonce(X2) != hAPP(c_Message_Omsg_OKey,X1),
    inference(unfold_definition,[status(thm)],[c_0_1150,def_lhs_atom219]) ).

cnf(c_0_1151_0,axiom,
    hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_ONonce(X2),
    inference(unfold_definition,[status(thm)],[c_0_1151,def_lhs_atom215]) ).

cnf(c_0_1152_0,axiom,
    c_Message_Omsg_OAgent(X2) != hAPP(c_Message_Omsg_OKey,X1),
    inference(unfold_definition,[status(thm)],[c_0_1152,def_lhs_atom214]) ).

cnf(c_0_1153_0,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(X2,X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1153,def_lhs_atom207]) ).

cnf(c_0_1154_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1154,def_lhs_atom206]) ).

cnf(c_0_1155_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1155,def_lhs_atom205]) ).

cnf(c_0_1156_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1156,def_lhs_atom203]) ).

cnf(c_0_1157_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1157,def_lhs_atom202]) ).

cnf(c_0_1158_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2))),c_Event_OinitState(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1158,def_lhs_atom191]) ).

cnf(c_0_1159_0,axiom,
    c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1159,def_lhs_atom169]) ).

cnf(c_0_1160_0,axiom,
    c_in(c_Message_Omsg_OAgent(X2),c_Message_Osynth(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1160,def_lhs_atom168]) ).

cnf(c_0_1161_0,axiom,
    c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1161,def_lhs_atom160]) ).

cnf(c_0_1162_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1162,def_lhs_atom161]) ).

cnf(c_0_1163_0,axiom,
    c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1163,def_lhs_atom160]) ).

cnf(c_0_1164_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1164,def_lhs_atom159]) ).

cnf(c_0_1165_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1165,def_lhs_atom159]) ).

cnf(c_0_1166_0,axiom,
    c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_1166,def_lhs_atom154]) ).

cnf(c_0_1167_0,axiom,
    ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Message_OsymKeys,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1167,def_lhs_atom151]) ).

cnf(c_0_1168_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1)),
    inference(unfold_definition,[status(thm)],[c_0_1168,def_lhs_atom142]) ).

cnf(c_0_1169_0,axiom,
    ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Message_OsymKeys,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1169,def_lhs_atom139]) ).

cnf(c_0_1170_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1170,def_lhs_atom123]) ).

cnf(c_0_1171_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1171,def_lhs_atom121]) ).

cnf(c_0_1172_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1172,def_lhs_atom119]) ).

cnf(c_0_1173_0,axiom,
    c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1173,def_lhs_atom117]) ).

cnf(c_0_1174_0,axiom,
    c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1174,def_lhs_atom114]) ).

cnf(c_0_1175_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),X2)) != hAPP(c_Public_OshrK,X1),
    inference(unfold_definition,[status(thm)],[c_0_1175,def_lhs_atom99]) ).

cnf(c_0_1176_0,axiom,
    ~ c_in(c_Message_Omsg_OHash(X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1176,def_lhs_atom97]) ).

cnf(c_0_1177_0,axiom,
    c_Message_Omsg_OHash(X2) != c_Message_Omsg_ONonce(X1),
    inference(unfold_definition,[status(thm)],[c_0_1177,def_lhs_atom94]) ).

cnf(c_0_1178_0,axiom,
    c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OHash(X2),
    inference(unfold_definition,[status(thm)],[c_0_1178,def_lhs_atom93]) ).

cnf(c_0_1179_0,axiom,
    c_Message_Omsg_OAgent(X2) != c_Message_Omsg_OHash(X1),
    inference(unfold_definition,[status(thm)],[c_0_1179,def_lhs_atom92]) ).

cnf(c_0_1180_0,axiom,
    c_Message_Omsg_OHash(X1) != c_Message_Omsg_OAgent(X2),
    inference(unfold_definition,[status(thm)],[c_0_1180,def_lhs_atom91]) ).

cnf(c_0_1181_0,axiom,
    c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),
    inference(unfold_definition,[status(thm)],[c_0_1181,def_lhs_atom90]) ).

cnf(c_0_1182_0,axiom,
    hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OHash(X2),
    inference(unfold_definition,[status(thm)],[c_0_1182,def_lhs_atom88]) ).

cnf(c_0_1183_0,axiom,
    c_Message_Omsg_OHash(X2) != hAPP(c_Message_Omsg_OKey,X1),
    inference(unfold_definition,[status(thm)],[c_0_1183,def_lhs_atom87]) ).

cnf(c_0_1184_0,axiom,
    c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1184,def_lhs_atom83]) ).

cnf(c_0_1185_0,axiom,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1185,def_lhs_atom80]) ).

cnf(c_0_1186_0,axiom,
    c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1186,def_lhs_atom78]) ).

cnf(c_0_1187_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)) = c_Message_OkeysFor(X1),
    inference(unfold_definition,[status(thm)],[c_0_1187,def_lhs_atom75]) ).

cnf(c_0_1188_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1188,def_lhs_atom74]) ).

cnf(c_0_1189_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1189,def_lhs_atom73]) ).

cnf(c_0_1190_0,axiom,
    c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1190,def_lhs_atom67]) ).

cnf(c_0_1191_0,axiom,
    c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1191,def_lhs_atom66]) ).

cnf(c_0_1192_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1192,def_lhs_atom65]) ).

cnf(c_0_1193_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    inference(unfold_definition,[status(thm)],[c_0_1193,def_lhs_atom64]) ).

cnf(c_0_1194_0,axiom,
    c_lessequals(c_Event_OinitState(X2),c_Event_Oknows(X2,X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1194,def_lhs_atom62]) ).

cnf(c_0_1195_0,axiom,
    c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X2),X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1195,def_lhs_atom60]) ).

cnf(c_0_1196_0,axiom,
    c_lessequals(c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1196,def_lhs_atom55]) ).

cnf(c_0_1197_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    inference(unfold_definition,[status(thm)],[c_0_1197,def_lhs_atom53]) ).

cnf(c_0_1198_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1198,def_lhs_atom52]) ).

cnf(c_0_1199_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1199,def_lhs_atom51]) ).

cnf(c_0_1200_0,axiom,
    c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1200,def_lhs_atom49]) ).

cnf(c_0_1201_0,axiom,
    c_lessequals(c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1201,def_lhs_atom46]) ).

cnf(c_0_1202_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1202,def_lhs_atom44]) ).

cnf(c_0_1203_0,axiom,
    c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X2),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1203,def_lhs_atom43]) ).

cnf(c_0_1204_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    inference(unfold_definition,[status(thm)],[c_0_1204,def_lhs_atom42]) ).

cnf(c_0_1205_0,axiom,
    c_lessequals(c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1205,def_lhs_atom40]) ).

cnf(c_0_1206_0,axiom,
    c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1206,def_lhs_atom38]) ).

cnf(c_0_1207_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1207,def_lhs_atom37]) ).

cnf(c_0_1208_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1208,def_lhs_atom36]) ).

cnf(c_0_1209_0,axiom,
    c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
    inference(unfold_definition,[status(thm)],[c_0_1209,def_lhs_atom26]) ).

cnf(c_0_1210_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1210,def_lhs_atom25]) ).

cnf(c_0_1211_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1)),
    inference(unfold_definition,[status(thm)],[c_0_1211,def_lhs_atom19]) ).

cnf(c_0_1212_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1212,def_lhs_atom17]) ).

cnf(c_0_1213_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1213,def_lhs_atom16]) ).

cnf(c_0_1214_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1214,def_lhs_atom13]) ).

cnf(c_0_1215_0,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_1215,def_lhs_atom8]) ).

cnf(c_0_1216_0,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_1216,def_lhs_atom7]) ).

cnf(c_0_1217_0,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_1217,def_lhs_atom6]) ).

cnf(c_0_1218_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1218,def_lhs_atom3]) ).

cnf(c_0_1219_0,axiom,
    c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    inference(unfold_definition,[status(thm)],[c_0_1219,def_lhs_atom220]) ).

cnf(c_0_1220_0,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    inference(unfold_definition,[status(thm)],[c_0_1220,def_lhs_atom218]) ).

cnf(c_0_1221_0,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    inference(unfold_definition,[status(thm)],[c_0_1221,def_lhs_atom212]) ).

cnf(c_0_1222_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    inference(unfold_definition,[status(thm)],[c_0_1222,def_lhs_atom211]) ).

cnf(c_0_1223_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1223,def_lhs_atom208]) ).

cnf(c_0_1224_0,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_OinitState(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1224,def_lhs_atom204]) ).

cnf(c_0_1225_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1225,def_lhs_atom194]) ).

cnf(c_0_1226_0,axiom,
    c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
    inference(unfold_definition,[status(thm)],[c_0_1226,def_lhs_atom190]) ).

cnf(c_0_1227_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
    inference(unfold_definition,[status(thm)],[c_0_1227,def_lhs_atom172]) ).

cnf(c_0_1228_0,axiom,
    c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1228,def_lhs_atom170]) ).

cnf(c_0_1229_0,axiom,
    c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1229,def_lhs_atom167]) ).

cnf(c_0_1230_0,axiom,
    c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
    inference(unfold_definition,[status(thm)],[c_0_1230,def_lhs_atom165]) ).

cnf(c_0_1231_0,axiom,
    c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
    inference(unfold_definition,[status(thm)],[c_0_1231,def_lhs_atom162]) ).

cnf(c_0_1232_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    inference(unfold_definition,[status(thm)],[c_0_1232,def_lhs_atom158]) ).

cnf(c_0_1233_0,axiom,
    c_in(hAPP(c_Public_OshrK,X1),c_Message_OsymKeys,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1233,def_lhs_atom134]) ).

cnf(c_0_1234_0,axiom,
    c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1234,def_lhs_atom109]) ).

cnf(c_0_1235_0,axiom,
    ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),X1)),c_Message_OsymKeys,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1235,def_lhs_atom104]) ).

cnf(c_0_1236_0,axiom,
    c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1236,def_lhs_atom95]) ).

cnf(c_0_1237_0,axiom,
    c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1237,def_lhs_atom89]) ).

cnf(c_0_1238_0,axiom,
    c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1238,def_lhs_atom84]) ).

cnf(c_0_1239_0,axiom,
    c_Message_Oanalz(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1239,def_lhs_atom59]) ).

cnf(c_0_1240_0,axiom,
    c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1240,def_lhs_atom58]) ).

cnf(c_0_1241_0,axiom,
    c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1241,def_lhs_atom57]) ).

cnf(c_0_1242_0,axiom,
    c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1242,def_lhs_atom50]) ).

cnf(c_0_1243_0,axiom,
    ~ c_in(X1,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_1243,def_lhs_atom30]) ).

cnf(c_0_1244_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X1),X1),
    inference(unfold_definition,[status(thm)],[c_0_1244,def_lhs_atom29]) ).

cnf(c_0_1245_0,axiom,
    c_List_Oset(c_List_Olist_ONil(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1245,def_lhs_atom28]) ).

cnf(c_0_1246_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1246,def_lhs_atom27]) ).

cnf(c_0_1247_0,axiom,
    c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1247,def_lhs_atom24]) ).

cnf(c_0_1248_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1248,def_lhs_atom22]) ).

cnf(c_0_1249_0,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1249,def_lhs_atom20]) ).

cnf(c_0_1250_0,axiom,
    c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1250,def_lhs_atom18]) ).

cnf(c_0_1251_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1251,def_lhs_atom15]) ).

cnf(c_0_1252_0,axiom,
    class_HOL_Oord(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1252,def_lhs_atom252]) ).

cnf(c_0_1253_0,axiom,
    class_Orderings_Obot(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1253,def_lhs_atom251]) ).

cnf(c_0_1254_0,axiom,
    class_Orderings_Otop(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1254,def_lhs_atom250]) ).

cnf(c_0_1255_0,axiom,
    class_Orderings_Oorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1255,def_lhs_atom249]) ).

cnf(c_0_1256_0,axiom,
    class_Lattices_Olattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1256,def_lhs_atom248]) ).

cnf(c_0_1257_0,axiom,
    class_Orderings_Opreorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1257,def_lhs_atom247]) ).

cnf(c_0_1258_0,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1258,def_lhs_atom246]) ).

cnf(c_0_1259_0,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1259,def_lhs_atom245]) ).

cnf(c_0_1260_0,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1260,def_lhs_atom244]) ).

cnf(c_0_1261_0,axiom,
    class_HOL_Oord(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1261,def_lhs_atom243]) ).

cnf(c_0_1262_0,axiom,
    class_Orderings_Obot(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1262,def_lhs_atom242]) ).

cnf(c_0_1263_0,axiom,
    class_Orderings_Oorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1263,def_lhs_atom241]) ).

cnf(c_0_1264_0,axiom,
    class_Lattices_Olattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1264,def_lhs_atom240]) ).

cnf(c_0_1265_0,axiom,
    class_Orderings_Olinorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1265,def_lhs_atom239]) ).

cnf(c_0_1266_0,axiom,
    class_Orderings_Opreorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1266,def_lhs_atom238]) ).

cnf(c_0_1267_0,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1267,def_lhs_atom237]) ).

cnf(c_0_1268_0,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    inference(unfold_definition,[status(thm)],[c_0_1268,def_lhs_atom216]) ).

cnf(c_0_1269_0,axiom,
    c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    inference(unfold_definition,[status(thm)],[c_0_1269,def_lhs_atom197]) ).

cnf(c_0_1270_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    inference(unfold_definition,[status(thm)],[c_0_1270,def_lhs_atom181]) ).

cnf(c_0_1271_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    inference(unfold_definition,[status(thm)],[c_0_1271,def_lhs_atom180]) ).

cnf(c_0_1272_0,axiom,
    c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
    inference(unfold_definition,[status(thm)],[c_0_1272,def_lhs_atom171]) ).

cnf(c_0_1273_0,axiom,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    inference(unfold_definition,[status(thm)],[c_0_1273,def_lhs_atom166]) ).

cnf(c_0_1274_0,axiom,
    c_Event_OinitState(c_Message_Oagent_OSpy) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1274,def_lhs_atom63]) ).

cnf(c_0_1275_0,axiom,
    c_Event_OinitState(c_Message_Oagent_OServer) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1275,def_lhs_atom33]) ).

cnf(c_0_1276_0,axiom,
    c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
    inference(unfold_definition,[status(thm)],[c_0_1276,def_lhs_atom32]) ).

cnf(c_0_1277_0,axiom,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
    inference(unfold_definition,[status(thm)],[c_0_1277,def_lhs_atom31]) ).

cnf(c_0_1278_0,axiom,
    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)),
    inference(unfold_definition,[status(thm)],[c_0_1278,def_lhs_atom5]) ).

cnf(c_0_1279_0,axiom,
    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)),
    inference(unfold_definition,[status(thm)],[c_0_1279,def_lhs_atom4]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X53,X31,X54,X21,X41,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X54),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X54),c_Message_Omsg_OAgent(X11)))))))),X53,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X41,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X54,c_Message_OsymKeys,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X54),c_Event_Oused(X53),tc_Message_Omsg)
      | ~ c_in(X53,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_ns__shared_ONS2_0) ).

fof(c_0_1_002,axiom,
    ! [X53,X31,X54,X21,X41,X11] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X54),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X54),c_Message_Omsg_OAgent(X11)))))))),X53,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X41,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X54,c_Message_OsymKeys,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X54),c_Event_Oused(X53),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X53) ),
    file('<stdin>',cls_ns__sharedp_ONS2_0) ).

fof(c_0_2_003,axiom,
    ! [X10,X31,X22,X21,X11] :
      ( ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X22,X31,X10),hAPP(c_Message_Omsg_OKey,X22)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_secrecy__lemma_0) ).

fof(c_0_3_004,axiom,
    ! [X10,X32,X31,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(X11,X21,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_B__trusts__NS5__lemma_0) ).

fof(c_0_4_005,axiom,
    ! [X10,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X11,X21,X22,X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    file('<stdin>',cls_B__trusts__NS3_0) ).

fof(c_0_5_006,axiom,
    ! [X10,X65,X22] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(X22,X65,tc_nat)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X65,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_lessequals(X65,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_analz__image__freshK_0) ).

fof(c_0_6_007,axiom,
    ! [X10,X50,X2,X51,X31,X22,X52,X21,X41,X11] :
      ( X2 = X50
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X41,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X41),c_Message_Omsg_OMPair(X51,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X52),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X50))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_unique__session__keys_3) ).

fof(c_0_7_008,axiom,
    ! [X10,X50,X2,X51,X31,X22,X52,X21,X41,X11] :
      ( X21 = X52
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X41,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X41),c_Message_Omsg_OMPair(X51,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X52),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X50))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_unique__session__keys_2) ).

fof(c_0_8_009,axiom,
    ! [X10,X50,X2,X51,X31,X22,X52,X21,X41,X11] :
      ( X31 = X51
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X41,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X41),c_Message_Omsg_OMPair(X51,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X52),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X50))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_unique__session__keys_1) ).

fof(c_0_9_010,axiom,
    ! [X10,X50,X2,X51,X31,X22,X52,X21,X41,X11] :
      ( X11 = X41
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X41,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X41),c_Message_Omsg_OMPair(X51,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X52),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X50))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_unique__session__keys_0) ).

fof(c_0_10_011,axiom,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__image__freshK__lemma_1) ).

fof(c_0_11_012,axiom,
    ! [X10,X65,X22] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X65,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_lessequals(X65,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_analz__image__freshK_2) ).

fof(c_0_12_013,axiom,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X22,X66,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__image__freshK__lemma_0) ).

fof(c_0_13_014,axiom,
    ! [X10,X65,X22] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X65,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X22,X65,tc_nat)
      | ~ c_lessequals(X65,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_analz__image__freshK_1) ).

fof(c_0_14_015,axiom,
    ! [X49,X2,X32,X31,X22,X21,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),hAPP(c_Message_Omsg_OKey,X22)))),X49,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X49,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X49,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X49,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_ns__shared_OOops_0) ).

fof(c_0_15_016,axiom,
    ! [X10,X2,X31,X40,X22,X21,X11] :
      ( ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X22,X31,X10),hAPP(c_Message_Omsg_OKey,X22)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(X40,c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Spy__not__see__encrypted__key_0) ).

fof(c_0_16_017,axiom,
    ! [X56,X2,X20,X32,X31,X22,X52,X21,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X21,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32)))),X56,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X52,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | ~ c_in(X56,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_ns__shared_ONS5_0) ).

fof(c_0_17_018,axiom,
    ! [X49,X2,X32,X31,X22,X21,X11] :
      ( 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(X31),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),hAPP(c_Message_Omsg_OKey,X22)))),X49,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X49,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X49,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X49) ),
    file('<stdin>',cls_ns__sharedp_OOops_0) ).

fof(c_0_18_019,axiom,
    ! [X56,X2,X20,X32,X31,X22,X52,X21,X11] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X21,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32)))),X56,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X52,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X56) ),
    file('<stdin>',cls_ns__sharedp_ONS5_0) ).

fof(c_0_19_020,axiom,
    ! [X35,X2,X20,X31,X22,X21,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X21,X2),X35,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X11,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),c_List_Oset(X35,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X35,tc_Event_Oevent),tc_Event_Oevent)
      | X11 = c_Message_Oagent_OServer
      | ~ c_in(X35,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_ns__shared_ONS3_0) ).

fof(c_0_20_021,axiom,
    ! [X10,X2,X20,X31,X22,X21,X11] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X22,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__S__message__form_0) ).

fof(c_0_21_022,axiom,
    ! [X35,X2,X20,X31,X22,X21,X11] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X21,X2),X35,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X11,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),c_List_Oset(X35,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X35,tc_Event_Oevent),tc_Event_Oevent)
      | X11 = c_Message_Oagent_OServer
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X35) ),
    file('<stdin>',cls_ns__sharedp_ONS3_0) ).

fof(c_0_22_023,axiom,
    ! [X10,X2,X23,X40,X22,X21,X11] :
      ( ~ c_in(X22,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(X40,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__Server__message__form_0) ).

fof(c_0_23_024,axiom,
    ! [X10,X2,X32,X31,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X21,X2,X10),X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_NS4__implies__NS3_0) ).

fof(c_0_24_025,axiom,
    ! [X10,X2,X32,X31,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_A__trusts__NS4__lemma_0) ).

fof(c_0_25_026,axiom,
    ! [X10,X2,X31,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    file('<stdin>',cls_A__trusts__NS2_0) ).

fof(c_0_26_027,axiom,
    ! [X10,X2,X32,X31,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X22,X31,X10),hAPP(c_Message_Omsg_OKey,X22)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    file('<stdin>',cls_A__trusts__NS4_0) ).

fof(c_0_27_028,axiom,
    ! [X10,X2,X20,X31,X22,X21,X11] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | X2 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__S__message__form_1) ).

fof(c_0_28_029,axiom,
    ! [X10,X2,X23,X40,X22,X21,X11] :
      ( X2 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(X40,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__Server__message__form_1) ).

fof(c_0_29_030,axiom,
    ! [X10,X2,X23,X40,X22,X21,X11] :
      ( X40 = hAPP(c_Public_OshrK,X11)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(X40,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__Server__message__form_2) ).

fof(c_0_30_031,axiom,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X11,X21,X2,X10),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_OIssues(X11,X21,X2,X10) ),
    file('<stdin>',cls_Issues__def_1) ).

fof(c_0_31_032,axiom,
    ! [X10,X2,X31,X22,X21,X11] :
      ( ~ c_in(X22,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    file('<stdin>',cls_cert__A__form_0) ).

fof(c_0_32_033,axiom,
    ! [X7,X34,X67,X11] :
      ( c_in(X11,X67,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X34),X11)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X7),X67,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    file('<stdin>',cls_privateKey__image__eq_1) ).

fof(c_0_33_034,axiom,
    ! [X7,X34,X67,X11] :
      ( X34 = X7
      | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X34),X11)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X7),X67,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    file('<stdin>',cls_privateKey__image__eq_0) ).

fof(c_0_34_035,axiom,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X22,X66,tc_nat) ),
    file('<stdin>',cls_analz__image__freshK__lemma_3) ).

fof(c_0_35_036,axiom,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X22,X66,tc_nat)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__image__freshK__lemma_4) ).

fof(c_0_36_037,axiom,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__image__freshK__lemma_5) ).

fof(c_0_37_038,axiom,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X22,X66,tc_nat)
      | ~ c_in(X22,X66,tc_nat) ),
    file('<stdin>',cls_analz__image__freshK__lemma_2) ).

fof(c_0_38_039,axiom,
    ! [X10,X2,X32,X31,X22,X21,X11] :
      ( c_NS__Shared__Mirabelle_OIssues(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32)),X10)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    file('<stdin>',cls_A__authenticates__and__keydist__to__B_0) ).

fof(c_0_39_040,axiom,
    ! [X10,X32,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(X11,X21,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X22,X10),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X22,X10),hAPP(c_Message_Omsg_OKey,X22)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    file('<stdin>',cls_B__trusts__NS5_0) ).

fof(c_0_40_041,axiom,
    ! [X63,X61,X9,X64,X3] :
      ( hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3)))
      | hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,X63,X3)))
      | ~ hBOOL(hAPP(X64,X61)) ),
    file('<stdin>',cls_split__list__last__prop__iff_6) ).

fof(c_0_41_042,axiom,
    ! [X63,X61,X9,X64,X3] :
      ( hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3)))
      | hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,X9,X3)))
      | ~ hBOOL(hAPP(X64,X61)) ),
    file('<stdin>',cls_split__list__first__prop__iff_6) ).

fof(c_0_42_043,axiom,
    ! [X55,X32,X22,X21,X41,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),X55,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X41,X21,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))),c_List_Oset(X55,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | c_in(c_Message_Omsg_ONonce(X32),c_Event_Oused(X55),tc_Message_Omsg)
      | ~ c_in(X55,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_ns__shared_ONS4_0) ).

fof(c_0_43_044,axiom,
    ! [X10,X2,X31,X22,X21,X11] :
      ( X2 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    file('<stdin>',cls_cert__A__form_1) ).

fof(c_0_44_045,axiom,
    ! [X63,X61,X9,X64,X3] :
      ( hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3)))
      | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,X9,X3),c_List_Oset(X9,X3),X3)
      | ~ hBOOL(hAPP(X64,X61)) ),
    file('<stdin>',cls_split__list__first__prop__iff_4) ).

fof(c_0_45_046,axiom,
    ! [X63,X61,X9,X64,X3] :
      ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),c_List_Oset(c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),X3)
      | hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,X63,X3)))
      | ~ hBOOL(hAPP(X64,X61)) ),
    file('<stdin>',cls_split__list__last__prop__iff_5) ).

fof(c_0_46_047,axiom,
    ! [X63,X61,X9,X64,X3] :
      ( hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3)))
      | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,X63,X3),c_List_Oset(X63,X3),X3)
      | ~ hBOOL(hAPP(X64,X61)) ),
    file('<stdin>',cls_split__list__last__prop__iff_4) ).

fof(c_0_47_048,axiom,
    ! [X63,X61,X9,X64,X3] :
      ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),c_List_Oset(c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),X3)
      | hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,X9,X3)))
      | ~ hBOOL(hAPP(X64,X61)) ),
    file('<stdin>',cls_split__list__first__prop__iff_5) ).

fof(c_0_48_049,axiom,
    ! [X10,X2,X31,X22,X21,X11] :
      ( c_in(X22,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(X21,c_Message_Omsg_OMPair(X22,X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Oops__parts__spies_0) ).

fof(c_0_49_050,axiom,
    ! [X9,X67,X11] :
      ( c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X9),X11)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X9),X67,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
      | ~ c_in(X11,X67,tc_Message_Oagent) ),
    file('<stdin>',cls_privateKey__image__eq_2) ).

fof(c_0_50_051,axiom,
    ! [X63,X61,X9,X64,X3] :
      ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),c_List_Oset(c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),X3)
      | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,X9,X3),c_List_Oset(X9,X3),X3)
      | ~ hBOOL(hAPP(X64,X61)) ),
    file('<stdin>',cls_split__list__first__prop__iff_3) ).

fof(c_0_51_052,axiom,
    ! [X63,X61,X9,X64,X3] :
      ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),c_List_Oset(c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),X3)
      | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,X63,X3),c_List_Oset(X63,X3),X3)
      | ~ hBOOL(hAPP(X64,X61)) ),
    file('<stdin>',cls_split__list__last__prop__iff_3) ).

fof(c_0_52_053,axiom,
    ! [X55,X32,X22,X21,X41,X11] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),X55,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X41,X21,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))),c_List_Oset(X55,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | c_in(c_Message_Omsg_ONonce(X32),c_Event_Oused(X55),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X55) ),
    file('<stdin>',cls_ns__sharedp_ONS4_0) ).

fof(c_0_53_054,axiom,
    ! [X2,X22,X6,X62] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oparts(X6),tc_Message_Omsg)
      | c_in(X22,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X22,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X62,tc_Message_Omsg))),tc_nat) ),
    file('<stdin>',cls_keysFor__parts__insert_0) ).

fof(c_0_54_055,axiom,
    ! [X10,X2,X20,X23,X24,X22,X21,X11] :
      ( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(X24,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OMPair(X21,c_Message_Omsg_OMPair(X22,X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_NS3__msg__in__parts__spies_0) ).

fof(c_0_55_056,axiom,
    ! [X10,X54,X22] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | X22 = X54
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X54),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X54,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_analz__insert__freshK_0) ).

fof(c_0_56_057,axiom,
    ! [X10,X2,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(X11,X21,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X11,X21,X2,X10)),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_NS__Shared__Mirabelle_OIssues(X11,X21,X2,X10) ),
    file('<stdin>',cls_Issues__def_0) ).

fof(c_0_57_058,axiom,
    ! [X10,X7,X2,X21,X11] :
      ( ~ c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X21,X2),X10,tc_Event_Oevent))),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__mono__contra_I1_J_0) ).

fof(c_0_58_059,axiom,
    ! [X10,X54,X22] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X54),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(X54,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_analz__insert__freshK_2) ).

fof(c_0_59_060,axiom,
    ! [X9,X10] :
      ( c_in(X9,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(hAPP(c_Message_Omsg_OKey,X9),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X9),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__insert__freshK_1) ).

fof(c_0_60_061,axiom,
    ! [X42,X21,X11,X44,X3] :
      ( c_lessequals(c_Set_Oimage(X42,X11,X3,X44),c_Set_Oimage(X42,X21,X3,X44),tc_fun(X44,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_image__mono_0) ).

fof(c_0_61_062,axiom,
    ! [X9,X42,X11,X44,X3] :
      ( ~ c_lessequals(X9,X11,tc_fun(X44,tc_bool))
      | c_lessequals(c_Set_Oimage(X42,X9,X44,X3),c_Set_Oimage(X42,X11,X44,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__image__iff_2) ).

fof(c_0_62_063,axiom,
    ! [X2,X6,X62] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X62)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X62)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__analz__insert_0) ).

fof(c_0_63_064,axiom,
    ! [X2,X22,X6] :
      ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_lemma2_0) ).

fof(c_0_64_065,axiom,
    ! [X2,X22,X6] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_lemma1_0) ).

fof(c_0_65_066,axiom,
    ! [X45,X31,X21,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),X45,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_ONonce(X31),c_Event_Oused(X45),tc_Message_Omsg)
      | ~ c_in(X45,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_ns__shared_ONS1_0) ).

fof(c_0_66_067,axiom,
    ! [X10,X22] :
      ( ~ c_in(X22,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Event_Oused(X10),tc_Message_Omsg) ),
    file('<stdin>',cls_Key__not__used_0) ).

fof(c_0_67_068,axiom,
    ! [X7,X2,X6] :
      ( c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X6)),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__parts__sing__imp__Un_0) ).

fof(c_0_68_069,axiom,
    ! [X9,X42,X21,X11,X44,X3] :
      ( c_in(hAPP(X42,X9),X21,X3)
      | ~ c_in(X9,X11,X44)
      | ~ c_lessequals(c_Set_Oimage(X42,X11,X44,X3),X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_image__subset__iff_0) ).

fof(c_0_69_070,axiom,
    ! [X10,X33,X22,X21,X11] :
      ( c_NS__Shared__Mirabelle_OIssues(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X33)),X10)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X33))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_B__Issues__A_0) ).

fof(c_0_70_071,axiom,
    ! [X9,X7,X34,X57] :
      ( c_in(X9,X57,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Public_OpublicKey(X34),X9),c_Set_Oimage(c_Public_OpublicKey(X7),X57,tc_Message_Oagent,tc_nat),tc_nat) ),
    file('<stdin>',cls_publicKey__image__eq_1) ).

fof(c_0_71_072,axiom,
    ! [X58,X6,X69,X62] :
      ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X69,X58,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X6),c_Message_Oanalz(X58),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X62),c_Message_Oanalz(X69),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_analz__subset__cong_0) ).

fof(c_0_72_073,axiom,
    ! [X45,X31,X21,X11] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),X45,tc_Event_Oevent))
      | c_in(c_Message_Omsg_ONonce(X31),c_Event_Oused(X45),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X45) ),
    file('<stdin>',cls_ns__sharedp_ONS1_0) ).

fof(c_0_73_074,axiom,
    ! [X9,X11] :
      ( c_in(X9,X11,tc_nat)
      | ~ c_in(hAPP(c_Message_OinvKey,X9),c_Set_Oimage(c_Message_OinvKey,X11,tc_nat,tc_nat),tc_nat) ),
    file('<stdin>',cls_invKey__image__eq_0) ).

fof(c_0_74_075,axiom,
    ! [X9,X11] :
      ( c_in(X9,X11,tc_nat)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X9),c_Set_Oimage(c_Message_Omsg_OKey,X11,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
    file('<stdin>',cls_Key__image__eq_0) ).

fof(c_0_75_076,axiom,
    ! [X9,X57] :
      ( c_in(X9,X57,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Public_OshrK,X9),c_Set_Oimage(c_Public_OshrK,X57,tc_Message_Oagent,tc_nat),tc_nat) ),
    file('<stdin>',cls_shrK__image__eq_0) ).

fof(c_0_76_077,axiom,
    ! [X9,X7,X34,X57] :
      ( X34 = X7
      | ~ c_in(hAPP(c_Public_OpublicKey(X34),X9),c_Set_Oimage(c_Public_OpublicKey(X7),X57,tc_Message_Oagent,tc_nat),tc_nat) ),
    file('<stdin>',cls_publicKey__image__eq_0) ).

fof(c_0_77_078,axiom,
    ! [X9,X42,X11,X44,X3] :
      ( c_Set_Oinsert(hAPP(X42,X9),c_Set_Oimage(X42,X11,X3,X44),X44) = c_Set_Oimage(X42,X11,X3,X44)
      | ~ c_in(X9,X11,X3) ),
    file('<stdin>',cls_insert__image_0) ).

fof(c_0_78_079,axiom,
    ! [X10,X7,X2,X11] :
      ( ~ c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X11,X2),X10,tc_Event_Oevent))),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__mono__contra_I3_J_0) ).

fof(c_0_79_080,axiom,
    ! [X10,X7,X2,X11] :
      ( ~ c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X11,X2),X10,tc_Event_Oevent))),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__mono__contra_I2_J_0) ).

fof(c_0_80_081,axiom,
    ! [X1,X2,X6,X62] :
      ( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X62,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__cut_0) ).

fof(c_0_81_082,axiom,
    ! [X77,X7,X34,X39,X3] :
      ( c_Set_Oinsert(X39,c_Set_Oinsert(X34,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X7,c_Set_Oinsert(X77,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X39 = X77
      | X39 = X7 ),
    file('<stdin>',cls_doubleton__eq__iff_0) ).

fof(c_0_82_083,axiom,
    ! [X77,X7,X34,X39,X3] :
      ( c_Set_Oinsert(X39,c_Set_Oinsert(X34,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X7,c_Set_Oinsert(X77,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X34 = X7
      | X39 = X7 ),
    file('<stdin>',cls_doubleton__eq__iff_1) ).

fof(c_0_83_084,axiom,
    ! [X77,X7,X34,X39,X3] :
      ( c_Set_Oinsert(X39,c_Set_Oinsert(X34,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X7,c_Set_Oinsert(X77,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X39 = X77
      | X34 = X77 ),
    file('<stdin>',cls_doubleton__eq__iff_2) ).

fof(c_0_84_085,axiom,
    ! [X77,X7,X34,X39,X3] :
      ( c_Set_Oinsert(X39,c_Set_Oinsert(X34,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X7,c_Set_Oinsert(X77,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X34 = X7
      | X34 = X77 ),
    file('<stdin>',cls_doubleton__eq__iff_3) ).

fof(c_0_85_086,axiom,
    ! [X63,X61,X9,X3] :
      ( c_in(X9,c_List_Oset(c_List_Oappend(X61,c_List_Olist_OCons(X9,X63,X3),X3),X3),X3)
      | c_in(X9,c_List_Oset(X61,X3),X3) ),
    file('<stdin>',cls_in__set__conv__decomp__first_2) ).

fof(c_0_86_087,axiom,
    ! [X63,X61,X9,X3] :
      ( c_in(X9,c_List_Oset(c_List_Oappend(X61,c_List_Olist_OCons(X9,X63,X3),X3),X3),X3)
      | c_in(X9,c_List_Oset(X63,X3),X3) ),
    file('<stdin>',cls_in__set__conv__decomp__last_2) ).

fof(c_0_87_088,axiom,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Event_OinitState(X11),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OGets(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(X11,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X11,X2,X10),X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | X11 = c_Message_Oagent_OSpy
      | ~ c_in(X2,c_Event_Oknows(X11,X10),tc_Message_Omsg) ),
    file('<stdin>',cls_knows__imp__Says__Gets__Notes__initState_0) ).

fof(c_0_88_089,axiom,
    ! [X68,X2,X6] :
      ( c_in(X68,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X6)),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X68,c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__parts__insert__in__Un_0) ).

fof(c_0_89_090,axiom,
    ! [X2,X6] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,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(X6)),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__parts__sing_0) ).

fof(c_0_90_091,axiom,
    ! [X2,X22,X6,X62] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X62),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Set_Oinsert(X2,X62,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_lessequals(X6,X62,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_synth__analz__insert__eq_0) ).

fof(c_0_91_092,axiom,
    ! [X46,X2,X21] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X21,X2),X46,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X46))),tc_Message_Omsg)
      | ~ c_in(X46,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_ns__shared_OFake_0) ).

fof(c_0_92_093,axiom,
    ! [X61,X9,X57] :
      ( c_in(hAPP(c_Public_OpublicKey(X9),X61),c_Set_Oimage(c_Public_OpublicKey(X9),X57,tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X61,X57,tc_Message_Oagent) ),
    file('<stdin>',cls_publicKey__image__eq_2) ).

fof(c_0_93_094,axiom,
    ! [X7,X6,X62] :
      ( c_in(X7,c_Message_Oparts(X6),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X62),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    file('<stdin>',cls_in__parts__UnE_0) ).

fof(c_0_94_095,axiom,
    ! [X9,X42,X11,X44,X3] :
      ( c_in(hAPP(X42,X9),c_Set_Oimage(X42,X11,X3,X44),X44)
      | ~ c_in(X9,X11,X3) ),
    file('<stdin>',cls_imageI_0) ).

fof(c_0_95_096,axiom,
    ! [X9,X42,X11,X44,X3] :
      ( c_in(hAPP(X42,X9),c_Set_Oimage(X42,X11,X44,X3),X3)
      | ~ c_in(X9,X11,X44) ),
    file('<stdin>',cls_image__eqI_0) ).

fof(c_0_96_097,axiom,
    ! [X9,X42,X11,X44,X3] :
      ( ~ c_in(X9,X11,X44)
      | c_in(hAPP(X42,X9),c_Set_Oimage(X42,X11,X44,X3),X3) ),
    file('<stdin>',cls_image__iff_2) ).

fof(c_0_97_098,axiom,
    ! [X9,X42,X11,X43,X3] :
      ( ~ c_in(X9,X11,X43)
      | c_in(hAPP(X42,X9),c_Set_Oimage(X42,X11,X43,X3),X3) ),
    file('<stdin>',cls_rev__image__eqI_0) ).

fof(c_0_98_099,axiom,
    ! [X2,X22,X6] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__Crypt__if_0) ).

fof(c_0_99_100,axiom,
    ! [X2,X22,X6,X62] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Set_Oinsert(X2,X62,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X62),tc_Message_Omsg)
      | ~ c_lessequals(X6,X62,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_synth__analz__insert__eq_1) ).

fof(c_0_100_101,axiom,
    ! [X9,X11] :
      ( c_in(hAPP(c_Message_OinvKey,X9),c_Set_Oimage(c_Message_OinvKey,X11,tc_nat,tc_nat),tc_nat)
      | ~ c_in(X9,X11,tc_nat) ),
    file('<stdin>',cls_invKey__image__eq_1) ).

fof(c_0_101_102,axiom,
    ! [X9,X11] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X9),c_Set_Oimage(c_Message_Omsg_OKey,X11,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X9,X11,tc_nat) ),
    file('<stdin>',cls_Key__image__eq_1) ).

fof(c_0_102_103,axiom,
    ! [X9,X57] :
      ( c_in(hAPP(c_Public_OshrK,X9),c_Set_Oimage(c_Public_OshrK,X57,tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X9,X57,tc_Message_Oagent) ),
    file('<stdin>',cls_shrK__image__eq_1) ).

fof(c_0_103_104,axiom,
    ! [X74,X73,X21,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X73,X74,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X21,X74,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X73,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__mono_0) ).

fof(c_0_104_105,axiom,
    ! [X10,X2] :
      ( c_in(X2,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X2,X10),X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X2,X10),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X2,X10),X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg) ),
    file('<stdin>',cls_knows__Spy__imp__Says__Notes__initState_0) ).

fof(c_0_105_106,axiom,
    ! [X10,X2,X11] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X10,c_List_Olist_OCons(c_Event_Oevent_ONotes(X11,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_spies__Notes__rev_0) ).

fof(c_0_106_107,axiom,
    ! [X2,X6] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X6)),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__parts__insert_0) ).

fof(c_0_107_108,axiom,
    ! [X9,X11,X3] :
      ( X11 = c_Set_Oinsert(X9,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Set_Oinsert(X9,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__singletonD_0) ).

fof(c_0_108_109,axiom,
    ! [X9,X21,X11,X3] :
      ( hBOOL(hAPP(X21,X9))
      | hBOOL(hAPP(X11,X9))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X9)) ),
    file('<stdin>',cls_sup1E_0) ).

fof(c_0_109_110,axiom,
    ! [X46,X2,X21] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X21,X2),X46,tc_Event_Oevent))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X46))),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X46) ),
    file('<stdin>',cls_ns__sharedp_OFake_0) ).

fof(c_0_110_111,axiom,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_synth__cut_0) ).

fof(c_0_111_112,axiom,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__cut_0) ).

fof(c_0_112_113,axiom,
    ! [X10,X2] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X10),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Event_Oused(X10),tc_Message_Omsg) ),
    file('<stdin>',cls_used__parts__subset__parts_0) ).

fof(c_0_113_114,axiom,
    ! [X2,X22,X6] :
      ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth__analz_0) ).

fof(c_0_114_115,axiom,
    ! [X59,X8,X47,X9,X3] :
      ( c_List_Oappend(X47,c_List_Olist_OCons(X9,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X59,c_List_Olist_OCons(X8,c_List_Olist_ONil(X3),X3),X3)
      | X9 = X8 ),
    file('<stdin>',cls_append1__eq__conv_1) ).

fof(c_0_115_116,axiom,
    ! [X59,X8,X47,X9,X3] :
      ( c_List_Oappend(X47,c_List_Olist_OCons(X9,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X59,c_List_Olist_OCons(X8,c_List_Olist_ONil(X3),X3),X3)
      | X47 = X59 ),
    file('<stdin>',cls_append1__eq__conv_0) ).

fof(c_0_116_117,axiom,
    ! [X8,X47,X9,X3] :
      ( c_in(X8,c_List_Oset(X47,X3),X3)
      | X8 = X9
      | ~ c_in(X8,c_List_Oset(c_List_Olist_OCons(X9,X47,X3),X3),X3) ),
    file('<stdin>',cls_set__ConsD_0) ).

fof(c_0_117_118,axiom,
    ! [X2,X6,X62] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X62),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,X62,tc_Message_Omsg) ),
    file('<stdin>',cls_parts__insert__subset__Un_0) ).

fof(c_0_118_119,axiom,
    ! [X2,X22,X6] :
      ( c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth__analz_1) ).

fof(c_0_119_120,axiom,
    ! [X10,X22] :
      ( ~ c_in(X22,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10))),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Event_Oused(X10),tc_Message_Omsg) ),
    file('<stdin>',cls_new__keys__not__used_0) ).

fof(c_0_120_121,axiom,
    ! [X10,X2,X11] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X10,c_List_Olist_OCons(c_Event_Oevent_ONotes(X11,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X10)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_spies__Notes__rev_1) ).

fof(c_0_121_122,axiom,
    ! [X73,X21,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X21,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X73,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_2) ).

fof(c_0_122_123,axiom,
    ! [X73,X21,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X21,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X73,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__least_0) ).

fof(c_0_123_124,axiom,
    ! [X2,X6,X11] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),X2),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__shrK__Decrypt_0) ).

fof(c_0_124_125,axiom,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__Spy__analz__bad_0) ).

fof(c_0_125_126,axiom,
    ! [X42,X11,X44,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X42,X11,X44,X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X44,tc_bool)) ),
    file('<stdin>',cls_empty__is__image_0) ).

fof(c_0_126_127,axiom,
    ! [X42,X11,X44,X3] :
      ( c_Set_Oimage(X42,X11,X44,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X44,tc_bool)) ),
    file('<stdin>',cls_image__is__empty_0) ).

fof(c_0_127_128,axiom,
    ! [X7,X62,X11] :
      ( c_in(X7,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X11,X62,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oanalz(X62),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__image__freshK__simps_I61_J_0) ).

fof(c_0_128_129,axiom,
    ! [X73,X21,X11,X3] :
      ( c_lessequals(X11,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X73,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_0) ).

fof(c_0_129_130,axiom,
    ! [X73,X21,X11,X3] :
      ( c_lessequals(X21,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X73,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_1) ).

fof(c_0_130_131,axiom,
    ! [X7,X21,X11,X3] :
      ( c_in(X7,X21,X3)
      | c_in(X7,X11,X3)
      | ~ c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_UnE_0) ).

fof(c_0_131_132,axiom,
    ! [X21,X11,X3] :
      ( c_lessequals(X21,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X21,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Compl__subset__Compl__iff_0) ).

fof(c_0_132_133,axiom,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | c_in(X9,X11,X3)
      | ~ c_lessequals(X11,c_Set_Oinsert(X9,X21,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_1) ).

fof(c_0_133_134,axiom,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Set_Oinsert(X9,X21,X3),tc_fun(X3,tc_bool))
      | c_in(X9,X11,X3) ),
    file('<stdin>',cls_subset__insert_0) ).

fof(c_0_134_135,axiom,
    ! [X34,X39,X3] :
      ( X34 = X39
      | ~ c_in(X34,c_Set_Oinsert(X39,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('<stdin>',cls_singletonE_0) ).

fof(c_0_135_136,axiom,
    ! [X8,X9,X11,X3] :
      ( hBOOL(hAPP(X11,X9))
      | X8 = X9
      | ~ hBOOL(hAPP(c_Set_Oinsert(X8,X11,X3),X9)) ),
    file('<stdin>',cls_insert__code_0) ).

fof(c_0_136_137,axiom,
    ! [X10,X11] :
      ( c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_Spy__see__shrK_0) ).

fof(c_0_137_138,axiom,
    ! [X10,X11] :
      ( c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_Spy__analz__shrK_0) ).

fof(c_0_138_139,axiom,
    ! [X39,X74,X73,X3] :
      ( c_lessequals(c_Set_Oinsert(X39,X73,X3),c_Set_Oinsert(X39,X74,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X73,X74,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__mono_0) ).

fof(c_0_139_140,axiom,
    ! [X2,X22,X6] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__Decrypt_H_0) ).

fof(c_0_140_141,axiom,
    ! [X2,X22,X6] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz_ODecrypt_0) ).

fof(c_0_141_142,axiom,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(c_Set_Oinsert(X9,X11,X3),X21,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | ~ c_in(X9,X21,X3) ),
    file('<stdin>',cls_insert__subset_2) ).

fof(c_0_142_143,axiom,
    ! [X1,X2,X6] :
      ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_Hash__synth__analz_0) ).

fof(c_0_143_144,axiom,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X11,X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__imp__parts__knows__Spy_0) ).

fof(c_0_144_145,axiom,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X11,X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__imp__analz__Spy_0) ).

fof(c_0_145_146,axiom,
    ! [X1,X2,X6] :
      ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_Hash__synth__analz_1) ).

fof(c_0_146_147,axiom,
    ! [X9,X21,X11,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X9))
      | ~ hBOOL(hAPP(X21,X9)) ),
    file('<stdin>',cls_sup1CI_0) ).

fof(c_0_147_148,axiom,
    ! [X9,X21,X11,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X9))
      | ~ hBOOL(hAPP(X11,X9)) ),
    file('<stdin>',cls_sup1CI_1) ).

fof(c_0_148_149,axiom,
    ! [X10,X34,X11] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X34),X11))),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_Spy__spies__bad__privateKey_0) ).

fof(c_0_149_150,axiom,
    ! [X2,X22,X6] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__Crypt__if_1) ).

fof(c_0_150_151,axiom,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X9,X11,X3),X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__subset_1) ).

fof(c_0_151_152,axiom,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Event_Oknows(X11,X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X11,X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__imp__knows_0) ).

fof(c_0_152_153,axiom,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X11,X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__imp__spies_0) ).

fof(c_0_153_154,axiom,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X9,X21,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | c_in(X9,X11,X3) ),
    file('<stdin>',cls_subset__insert__iff_2) ).

fof(c_0_154_155,axiom,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X9,X21,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | c_in(X9,X11,X3) ),
    file('<stdin>',cls_subset__insert_1) ).

fof(c_0_155_156,axiom,
    ! [X7,X39,X62] :
      ( c_in(X7,c_Message_Oanalz(c_Set_Oinsert(X39,X62,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oanalz(X62),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__insertI_0) ).

fof(c_0_156_157,axiom,
    ! [X7,X39,X62] :
      ( c_in(X7,c_Message_Oparts(c_Set_Oinsert(X39,X62,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oparts(X62),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__insertI_0) ).

fof(c_0_157_158,axiom,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Event_Oused(X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X11,X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__imp__used_0) ).

fof(c_0_158_159,axiom,
    ! [X9,X21,X11,X3] :
      ( c_in(X9,X21,X3)
      | ~ c_lessequals(c_Set_Oinsert(X9,X11,X3),X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__subset_0) ).

fof(c_0_159_160,axiom,
    ! [X10,X11] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_Spy__see__shrK_1) ).

fof(c_0_160_161,axiom,
    ! [X10,X11] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('<stdin>',cls_Spy__analz__shrK_1) ).

fof(c_0_161_162,axiom,
    ! [X21,X11,X3] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X21,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Compl__anti__mono_0) ).

fof(c_0_162_163,axiom,
    ! [X21,X11,X3] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X21,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X21,X11,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Compl__subset__Compl__iff_1) ).

fof(c_0_163_164,axiom,
    ! [X9,X34,X39,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X39,X34,X3),X9,X3)
      | ~ c_lessequals(X34,X9,X3)
      | ~ c_lessequals(X39,X9,X3) ),
    file('<stdin>',cls_le__supI_0) ).

fof(c_0_164_165,axiom,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X8,X72,X3),X9,X3)
      | ~ c_lessequals(X72,X9,X3)
      | ~ c_lessequals(X8,X9,X3) ),
    file('<stdin>',cls_sup__least_0) ).

fof(c_0_165_166,axiom,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X72,X3)
      | ~ c_lessequals(X8,X72,X3)
      | ~ c_lessequals(X9,X72,X3) ),
    file('<stdin>',cls_le__sup__iff_2) ).

fof(c_0_166_167,axiom,
    ! [X2,X6] :
      ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X6))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__analz__eq_0) ).

fof(c_0_167_168,axiom,
    ! [X34,X39,X3] :
      ( c_Set_Oinsert(X39,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X34,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X39 = X34 ),
    file('<stdin>',cls_singleton__inject_0) ).

fof(c_0_168_169,axiom,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X72,X3) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X72,X3),X3) ),
    file('<stdin>',cls_sup__assoc_0) ).

fof(c_0_169_170,axiom,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X72,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X72,X3),X3) ),
    file('<stdin>',cls_sup__left__commute_0) ).

fof(c_0_170_171,axiom,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X72,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X72,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I7_J_0) ).

fof(c_0_171_172,axiom,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X72,X3) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X72,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I6_J_0) ).

fof(c_0_172_173,axiom,
    ! [X58,X6,X69,X62] :
      ( c_Message_Oanalz(X6) != c_Message_Oanalz(X58)
      | c_Message_Oanalz(X62) != c_Message_Oanalz(X69)
      | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X69,X58,tc_fun(tc_Message_Omsg,tc_bool))) ),
    file('<stdin>',cls_analz__cong_0) ).

fof(c_0_173_174,axiom,
    ! [X10,X2,X11] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X11,X2),X10,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_knows__Spy__Notes_0) ).

fof(c_0_174_175,axiom,
    ! [X2,X6,X62] :
      ( c_Message_Oanalz(c_Set_Oinsert(X2,X62,tc_Message_Omsg)) = c_Message_Oanalz(X62)
      | ~ c_lessequals(X6,X62,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_gen__analz__insert__eq_0) ).

fof(c_0_175_176,axiom,
    ! [X1,X2,X6] :
      ( c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__synth__analz_2) ).

fof(c_0_176_177,axiom,
    ! [X73,X21,X11,X3] :
      ( c_lessequals(X11,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X21,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__trans_0) ).

fof(c_0_177_178,axiom,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_ONotes(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Notes__imp__knows__Spy_0) ).

fof(c_0_178_179,axiom,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X8,X72,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X72,X3) ),
    file('<stdin>',cls_le__sup__iff_1) ).

fof(c_0_179_180,axiom,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X9,X72,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X72,X3) ),
    file('<stdin>',cls_le__sup__iff_0) ).

fof(c_0_180_181,axiom,
    ! [X9,X34,X39,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X34,X9,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X39,X34,X3),X9,X3) ),
    file('<stdin>',cls_le__supE_1) ).

fof(c_0_181_182,axiom,
    ! [X9,X34,X39,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X39,X9,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X39,X34,X3),X9,X3) ),
    file('<stdin>',cls_le__supE_0) ).

fof(c_0_182_183,axiom,
    ! [X34,X39,X11,X3] :
      ( c_in(X39,X11,X3)
      | X39 = X34
      | ~ c_in(X39,c_Set_Oinsert(X34,X11,X3),X3) ),
    file('<stdin>',cls_insertE_0) ).

fof(c_0_183_184,axiom,
    ! [X22,X6] :
      ( c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(X22,c_Message_OkeysFor(c_Message_Oanalz(X6)),tc_nat) ),
    file('<stdin>',cls_analz__insert__Key_0) ).

fof(c_0_184_185,axiom,
    ! [X34,X21,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X34,X21,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insertI2_0) ).

fof(c_0_185_186,axiom,
    ! [X2,X22,X6] :
      ( c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_synth_OCrypt_0) ).

fof(c_0_186_187,axiom,
    ! [X7,X21,X11,X3] :
      ( c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X3)
      | ~ c_in(X7,X11,X3) ),
    file('<stdin>',cls_UnCI_1) ).

fof(c_0_187_188,axiom,
    ! [X7,X21,X11,X3] :
      ( c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X3)
      | ~ c_in(X7,X21,X3) ),
    file('<stdin>',cls_UnCI_0) ).

fof(c_0_188_189,axiom,
    ! [X8,X9,X11,X3] :
      ( hBOOL(hAPP(c_Set_Oinsert(X8,X11,X3),X9))
      | ~ hBOOL(hAPP(X11,X9)) ),
    file('<stdin>',cls_insert__code_2) ).

fof(c_0_189_190,axiom,
    ! [X2,X22,X6] :
      ( c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth__eq_0) ).

fof(c_0_190_191,axiom,
    ! [X2,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth_1) ).

fof(c_0_191_192,axiom,
    ! [X2,X22,X6] :
      ( c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth__eq_1) ).

fof(c_0_192_193,axiom,
    ! [X7,X11,X3] :
      ( ~ c_in(X7,X11,X3)
      | ~ c_in(X7,c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_ComplD_0) ).

fof(c_0_193_194,axiom,
    ! [X9,X21,X11,X3] :
      ( c_Set_Oinsert(X9,X11,X3) != c_Set_Oinsert(X9,X21,X3)
      | c_in(X9,X21,X3)
      | c_in(X9,X11,X3)
      | X11 = X21 ),
    file('<stdin>',cls_insert__ident_0) ).

fof(c_0_194_195,axiom,
    ! [X2,X6,X62] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_lessequals(X62,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oparts(X62),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__trans_0) ).

fof(c_0_195_196,axiom,
    ! [X2,X6,X62] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_lessequals(X62,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oanalz(X62),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__trans_0) ).

fof(c_0_196_197,axiom,
    ! [X2,X6,X62] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_lessequals(X62,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(X62),tc_Message_Omsg) ),
    file('<stdin>',cls_synth__trans_0) ).

fof(c_0_197_198,axiom,
    ! [X2,X22,X6] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth_0) ).

fof(c_0_198_199,axiom,
    ! [X1,X2,X6] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X2,X1),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__synth_0) ).

fof(c_0_199_200,axiom,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X2,X1),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__synth_1) ).

fof(c_0_200_201,axiom,
    ! [X1,X2,X6] :
      ( c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_synth_OMPair_0) ).

fof(c_0_201_202,axiom,
    ! [X2,X22,X6] :
      ( c_in(X22,c_Message_OkeysFor(X6),tc_nat)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__imp__keysFor_0) ).

fof(c_0_202_203,axiom,
    ! [X70,X21,X11,X3] :
      ( c_in(X70,X21,X3)
      | ~ c_in(X70,X11,X3)
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__iff_0) ).

fof(c_0_203_204,axiom,
    ! [X9,X21,X11,X3] :
      ( c_in(X9,X21,X3)
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | ~ c_in(X9,X11,X3) ),
    file('<stdin>',cls_set__rev__mp_0) ).

fof(c_0_204_205,axiom,
    ! [X7,X21,X11,X3] :
      ( c_in(X7,X21,X3)
      | ~ c_in(X7,X11,X3)
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subsetD_0) ).

fof(c_0_205_206,axiom,
    ! [X9,X21,X11,X3] :
      ( c_in(X9,X21,X3)
      | ~ c_in(X9,X11,X3)
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__mp_0) ).

fof(c_0_206_207,axiom,
    ! [X11,X3] :
      ( X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__Compl__self__eq_0) ).

fof(c_0_207_208,axiom,
    ! [X9,X34,X39,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X39,X34,X3),X3)
      | ~ c_lessequals(X9,X34,X3) ),
    file('<stdin>',cls_le__supI2_0) ).

fof(c_0_208_209,axiom,
    ! [X9,X34,X39,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X39,X34,X3),X3)
      | ~ c_lessequals(X9,X39,X3) ),
    file('<stdin>',cls_le__supI1_0) ).

fof(c_0_209_210,axiom,
    ! [X10,X2,X11] :
      ( c_Event_Oknows(X11,c_List_Olist_OCons(c_Event_Oevent_OGets(X11,X2),X10,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X11,X10),tc_Message_Omsg)
      | X11 = c_Message_Oagent_OSpy ),
    file('<stdin>',cls_knows__Gets_0) ).

fof(c_0_210_211,axiom,
    ! [X34,X39,X11,X3] :
      ( c_in(X39,c_Set_Oinsert(X34,X11,X3),X3)
      | ~ c_in(X39,X11,X3) ),
    file('<stdin>',cls_insert__iff_2) ).

fof(c_0_211_212,axiom,
    ! [X34,X39,X21,X3] :
      ( c_in(X39,c_Set_Oinsert(X34,X21,X3),X3)
      | ~ c_in(X39,X21,X3) ),
    file('<stdin>',cls_insertCI_0) ).

fof(c_0_212_213,axiom,
    ! [X21,X11,X3] :
      ( X11 = X21
      | ~ c_lessequals(X21,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_equalityI_0) ).

fof(c_0_213_214,axiom,
    ! [X21,X11,X3] :
      ( X11 = X21
      | ~ c_lessequals(X21,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__eq__subset_2) ).

fof(c_0_214_215,axiom,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Event_Oknows(X11,X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | X11 = c_Message_Oagent_OSpy ),
    file('<stdin>',cls_Gets__imp__knows__agents_0) ).

fof(c_0_215_216,axiom,
    ! [X9,X71,X42,X44,X3] :
      ( ~ class_HOL_Oord(X44)
      | c_lessequals(hAPP(X42,X9),hAPP(X71,X9),X44)
      | ~ c_lessequals(X42,X71,tc_fun(X3,X44)) ),
    file('<stdin>',cls_le__funD_0) ).

fof(c_0_216_217,axiom,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Event_Oknows(X11,X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Notes__imp__knows_0) ).

fof(c_0_217_218,axiom,
    ! [X72,X8,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X72,X9,X3)
      | ~ c_lessequals(X72,X8,X3)
      | ~ c_lessequals(X8,X9,X3) ),
    file('<stdin>',cls_xt1_I6_J_0) ).

fof(c_0_218_219,axiom,
    ! [X72,X8,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X9,X72,X3)
      | ~ c_lessequals(X8,X72,X3)
      | ~ c_lessequals(X9,X8,X3) ),
    file('<stdin>',cls_order__trans_0) ).

fof(c_0_219_220,axiom,
    ! [X10,X2,X11] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X11,X2),X10,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X10)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_knows__Spy__Notes_1) ).

fof(c_0_220_221,axiom,
    ! [X11,X3] :
      ( X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__empty_0) ).

fof(c_0_221_222,axiom,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X39,X34,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X34,X3),c_HOL_Ouminus__class_Ouminus(X39,X3),X3) ),
    file('<stdin>',cls_neg__le__iff__le_0) ).

fof(c_0_222_223,axiom,
    ! [X2,X58,X6] :
      ( c_Message_Oanalz(X6) != c_Message_Oanalz(X58)
      | c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X58,tc_Message_Omsg)) ),
    file('<stdin>',cls_analz__insert__cong_0) ).

fof(c_0_223_224,axiom,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X62)),c_Message_Osynth(c_Message_Oanalz(X6)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_synth__analz__mono_0) ).

fof(c_0_224_225,axiom,
    ! [X10,X11] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_Spy__spies__bad__shrK_0) ).

fof(c_0_225_226,axiom,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__synth__analz_1) ).

fof(c_0_226_227,axiom,
    ! [X1,X2,X6] :
      ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__synth__analz_0) ).

fof(c_0_227_228,axiom,
    ! [X10,X7] :
      ( c_in(X7,c_Event_Oused(X10),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    file('<stdin>',cls_usedI_0) ).

fof(c_0_228_229,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) ),
    file('<stdin>',cls_sup__left__idem_0) ).

fof(c_0_229_230,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) ),
    file('<stdin>',cls_inf__sup__aci_I8_J_0) ).

fof(c_0_230_231,axiom,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(X2),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(X2),c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_Hash__synth_0) ).

fof(c_0_231_232,axiom,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Event_Oused(X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Notes__imp__used_0) ).

fof(c_0_232_233,axiom,
    ! [X6,X62] :
      ( c_lessequals(X62,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Osynth(X62),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_synth__subset__iff_0) ).

fof(c_0_233_234,axiom,
    ! [X6,X62] :
      ( c_lessequals(X62,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oparts(X62),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_parts__subset__iff_0) ).

fof(c_0_234_235,axiom,
    ! [X6,X62] :
      ( c_lessequals(X62,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X62),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_analz__subset__iff_0) ).

fof(c_0_235_236,axiom,
    ! [X9,X64,X3] :
      ( ~ hBOOL(hAPP(X64,X9))
      | ~ c_in(X9,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_bex__empty_0) ).

fof(c_0_236_237,axiom,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X34,c_HOL_Ouminus__class_Ouminus(X39,X3),X3)
      | ~ c_lessequals(X39,c_HOL_Ouminus__class_Ouminus(X34,X3),X3) ),
    file('<stdin>',cls_le__minus__iff_0) ).

fof(c_0_237_238,axiom,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X39,c_HOL_Ouminus__class_Ouminus(X34,X3),X3)
      | ~ c_lessequals(X34,c_HOL_Ouminus__class_Ouminus(X39,X3),X3) ),
    file('<stdin>',cls_le__minus__iff_1) ).

fof(c_0_238_239,axiom,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X34,X3),X39,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X39,X3),X34,X3) ),
    file('<stdin>',cls_minus__le__iff_0) ).

fof(c_0_239_240,axiom,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X39,X3),X34,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X34,X3),X39,X3) ),
    file('<stdin>',cls_minus__le__iff_1) ).

fof(c_0_240_241,axiom,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Osynth(X62),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_synth__subset__iff_1) ).

fof(c_0_241_242,axiom,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Oparts(X62),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_parts__subset__iff_1) ).

fof(c_0_242_243,axiom,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Oanalz(X62),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_analz__subset__iff_1) ).

fof(c_0_243_244,axiom,
    ! [X2,X22,X6] :
      ( c_in(hAPP(c_Message_OinvKey,X22),c_Message_OkeysFor(X6),tc_nat)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__imp__invKey__keysFor_0) ).

fof(c_0_244_245,axiom,
    ! [X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_Key__synth_0) ).

fof(c_0_245_246,axiom,
    ! [X2,X6] :
      ( c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Message_Oanalz(X6)
      | ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__insert__eq_0) ).

fof(c_0_246_247,axiom,
    ! [X2,X6] :
      ( c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Message_Oparts(X6)
      | ~ c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__cut__eq_0) ).

fof(c_0_247_248,axiom,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Osynth(X62),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_synth__mono_0) ).

fof(c_0_248_249,axiom,
    ! [X6,X62] :
      ( c_lessequals(c_Message_OkeysFor(X62),c_Message_OkeysFor(X6),tc_fun(tc_nat,tc_bool))
      | ~ c_lessequals(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_keysFor__mono_0) ).

fof(c_0_249_250,axiom,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Oparts(X62),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_parts__mono_0) ).

fof(c_0_250_251,axiom,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Oanalz(X62),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_analz__mono_0) ).

fof(c_0_251_252,axiom,
    ! [X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg) ),
    file('<stdin>',cls_Key__synth__eq_1) ).

fof(c_0_252_253,axiom,
    ! [X21,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)) != X21
      | c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__Un__eq_1) ).

fof(c_0_253_254,axiom,
    ! [X21,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)) = X21
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__absorb1_0) ).

fof(c_0_254_255,axiom,
    ! [X21,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)) = X11
      | ~ c_lessequals(X21,X11,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__absorb2_0) ).

fof(c_0_255_256,axiom,
    ! [X9,X75,X64,X3] :
      ( hBOOL(hAPP(X75,X9))
      | ~ hBOOL(hAPP(X64,X9))
      | ~ c_lessequals(X64,X75,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_predicate1D_0) ).

fof(c_0_256_257,axiom,
    ! [X9,X75,X64,X3] :
      ( hBOOL(hAPP(X75,X9))
      | ~ c_lessequals(X64,X75,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X64,X9)) ),
    file('<stdin>',cls_rev__predicate1D_0) ).

fof(c_0_257_258,axiom,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X34,X3),c_HOL_Ouminus__class_Ouminus(X39,X3),X3)
      | ~ c_lessequals(X39,X34,X3) ),
    file('<stdin>',cls_le__imp__neg__le_0) ).

fof(c_0_258_259,axiom,
    ! [X9,X64,X3] :
      ( hBOOL(hAPP(X64,X9))
      | ~ c_in(X9,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_ball__empty_0) ).

fof(c_0_259_260,axiom,
    ! [X1,X2,X6] :
      ( c_in(X2,c_Event_Oused(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Event_Oused(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__used_0) ).

fof(c_0_260_261,axiom,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Event_Oused(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Event_Oused(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__used_1) ).

fof(c_0_261_262,axiom,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz_OSnd_0) ).

fof(c_0_262_263,axiom,
    ! [X1,X2,X6] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz_OFst_0) ).

fof(c_0_263_264,axiom,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_parts_OSnd_0) ).

fof(c_0_264_265,axiom,
    ! [X1,X2,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_parts_OFst_0) ).

fof(c_0_265_266,axiom,
    ! [X2,X22,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_parts_OBody_0) ).

fof(c_0_266_267,axiom,
    ! [X21,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__empty_0) ).

fof(c_0_267_268,axiom,
    ! [X21,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X21 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__empty_1) ).

fof(c_0_268_269,axiom,
    ! [X61,X9,X3] :
      ( c_Set_Oinsert(X9,X61,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_in(X9,X61,X3) ),
    file('<stdin>',cls_comm__monoid__add_Ononempty__iff_2) ).

fof(c_0_269_270,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X8
      | ~ c_lessequals(X8,X9,X3)
      | ~ c_lessequals(X9,X8,X3) ),
    file('<stdin>',cls_order__eq__iff_2) ).

fof(c_0_270_271,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X8
      | ~ c_lessequals(X8,X9,X3)
      | ~ c_lessequals(X9,X8,X3) ),
    file('<stdin>',cls_order__antisym_0) ).

fof(c_0_271_272,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X8
      | ~ c_lessequals(X9,X8,X3)
      | ~ c_lessequals(X8,X9,X3) ),
    file('<stdin>',cls_order__antisym__conv_0) ).

fof(c_0_272_273,axiom,
    ! [X7,X11,X3] :
      ( c_in(X7,c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),X3)
      | c_in(X7,X11,X3) ),
    file('<stdin>',cls_ComplI_0) ).

fof(c_0_273_274,axiom,
    ! [X60,X59,X47,X3] :
      ( c_List_Oappend(X47,X59,X3) != c_List_Oappend(X47,X60,X3)
      | X59 = X60 ),
    file('<stdin>',cls_same__append__eq_0) ).

fof(c_0_274_275,axiom,
    ! [X60,X59,X47,X3] :
      ( c_List_Oappend(X59,X47,X3) != c_List_Oappend(X60,X47,X3)
      | X59 = X60 ),
    file('<stdin>',cls_append__same__eq_0) ).

fof(c_0_275_276,axiom,
    ! [X36,X37,X38,X39,X3] :
      ( c_List_Olist_OCons(X39,X37,X3) != c_List_Olist_OCons(X38,X36,X3)
      | X39 = X38 ),
    file('<stdin>',cls_list_Oinject_0) ).

fof(c_0_276_277,axiom,
    ! [X36,X37,X38,X39,X3] :
      ( c_List_Olist_OCons(X39,X37,X3) != c_List_Olist_OCons(X38,X36,X3)
      | X37 = X36 ),
    file('<stdin>',cls_list_Oinject_1) ).

fof(c_0_277_278,axiom,
    ! [X18,X19,X25,X26,X27,X28] :
      ( c_Event_Oevent_OSays(X28,X26,X19) != c_Event_Oevent_OSays(X27,X25,X18)
      | X28 = X27 ),
    file('<stdin>',cls_event_Osimps_I1_J_0) ).

fof(c_0_278_279,axiom,
    ! [X18,X19,X25,X26,X27,X28] :
      ( c_Event_Oevent_OSays(X28,X26,X19) != c_Event_Oevent_OSays(X27,X25,X18)
      | X26 = X25 ),
    file('<stdin>',cls_event_Osimps_I1_J_1) ).

fof(c_0_279_280,axiom,
    ! [X18,X19,X25,X26,X27,X28] :
      ( c_Event_Oevent_OSays(X28,X26,X19) != c_Event_Oevent_OSays(X27,X25,X18)
      | X19 = X18 ),
    file('<stdin>',cls_event_Osimps_I1_J_2) ).

fof(c_0_280_281,axiom,
    ! [X10,X2,X21] :
      ( c_in(X2,c_Event_Oused(X10),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(c_Event_OinitState(X21)),tc_Message_Omsg) ),
    file('<stdin>',cls_initState__into__used_0) ).

fof(c_0_281_282,axiom,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_synth__synthD_0) ).

fof(c_0_282_283,axiom,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(c_Message_Oparts(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__partsD_0) ).

fof(c_0_283_284,axiom,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__analzD_0) ).

fof(c_0_284_285,axiom,
    ! [X22] :
      ( c_in(X22,c_Message_OsymKeys,tc_nat)
      | ~ c_in(hAPP(c_Message_OinvKey,X22),c_Message_OsymKeys,tc_nat) ),
    file('<stdin>',cls_symKeys__invKey__iff_0) ).

fof(c_0_285_286,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) ),
    file('<stdin>',cls_sup__ge1_0) ).

fof(c_0_286_287,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) ),
    file('<stdin>',cls_sup__ge2_0) ).

fof(c_0_287_288,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) ),
    file('<stdin>',cls_inf__sup__ord_I4_J_0) ).

fof(c_0_288_289,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) ),
    file('<stdin>',cls_inf__sup__ord_I3_J_0) ).

fof(c_0_289_290,axiom,
    ! [X48,X6] :
      ( c_in(c_Message_Omsg_ONonce(X48),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_ONonce(X48),c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_Nonce__synth_0) ).

fof(c_0_290_291,axiom,
    ! [X23,X6] :
      ( c_in(c_Message_Omsg_ONonce(X23),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_ONonce(X23),c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_Nonce__synth__eq_0) ).

fof(c_0_291_292,axiom,
    ! [X2,X6] :
      ( c_in(c_Message_Omsg_OHash(X2),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_synth_OHash_0) ).

fof(c_0_292_293,axiom,
    ! [X23,X6] :
      ( c_in(c_Message_Omsg_ONonce(X23),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_ONonce(X23),X6,tc_Message_Omsg) ),
    file('<stdin>',cls_Nonce__synth__eq_1) ).

fof(c_0_293_294,axiom,
    ! [X22] :
      ( c_in(hAPP(c_Message_OinvKey,X22),c_Message_OsymKeys,tc_nat)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat) ),
    file('<stdin>',cls_symKeys__invKey__iff_1) ).

fof(c_0_294_295,axiom,
    ! [X7,X6] :
      ( ~ c_in(X7,c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_not__parts__not__analz_0) ).

fof(c_0_295_296,axiom,
    ! [X7,X6] :
      ( c_in(X7,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__into__parts_0) ).

fof(c_0_296_297,axiom,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__conj__parts_0) ).

fof(c_0_297_298,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) != X8
      | c_lessequals(X9,X8,X3) ),
    file('<stdin>',cls_le__iff__sup_1) ).

fof(c_0_298_299,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) = X9
      | ~ c_lessequals(X8,X9,X3) ),
    file('<stdin>',cls_sup__absorb1_0) ).

fof(c_0_299_300,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) = X8
      | ~ c_lessequals(X9,X8,X3) ),
    file('<stdin>',cls_le__iff__sup_0) ).

fof(c_0_300_301,axiom,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X2,X6,tc_Message_Omsg) ),
    file('<stdin>',cls_synth_OInj_0) ).

fof(c_0_301_302,axiom,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X2,X6,tc_Message_Omsg) ),
    file('<stdin>',cls_parts_OInj_0) ).

fof(c_0_302_303,axiom,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X2,X6,tc_Message_Omsg) ),
    file('<stdin>',cls_analz_OInj_0) ).

fof(c_0_303_304,axiom,
    ! [X39,X11,X3] :
      ( c_Set_Oinsert(X39,X11,X3) = X11
      | ~ c_in(X39,X11,X3) ),
    file('<stdin>',cls_insert__absorb_0) ).

fof(c_0_304_305,axiom,
    ! [X21,X11,X3] :
      ( c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X21,tc_fun(X3,tc_bool))
      | X11 = X21 ),
    file('<stdin>',cls_Compl__eq__Compl__iff_0) ).

fof(c_0_305_306,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X8,X9,X3)
      | c_lessequals(X9,X8,X3) ),
    file('<stdin>',cls_linorder__linear_0) ).

fof(c_0_306_307,axiom,
    ! [X76,X64] :
      ( hBOOL(hAPP(X64,X76))
      | ~ hBOOL(hAPP(X64,c_Public_Okeymode_OEncryption))
      | ~ hBOOL(hAPP(X64,c_Public_Okeymode_OSignature)) ),
    file('<stdin>',cls_keymode_Oinduct_0) ).

fof(c_0_307_308,axiom,
    ! [X9,X20,X3] :
      ( hBOOL(hAPP(X20,X9))
      | ~ c_in(X9,X20,X3) ),
    file('<stdin>',cls_mem__def_0) ).

fof(c_0_308_309,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) = c_Lattices_Oupper__semilattice__class_Osup(X8,X9,X3) ),
    file('<stdin>',cls_sup__commute_0) ).

fof(c_0_309_310,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) = c_Lattices_Oupper__semilattice__class_Osup(X8,X9,X3) ),
    file('<stdin>',cls_inf__sup__aci_I5_J_0) ).

fof(c_0_310_311,axiom,
    ! [X21,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X21,X3) != c_Orderings_Obot__class_Obot(X3)
      | X21 = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_sup__eq__bot__eq2_0) ).

fof(c_0_311_312,axiom,
    ! [X21,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X21,X3) != c_Orderings_Obot__class_Obot(X3)
      | X11 = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_sup__eq__bot__eq1_0) ).

fof(c_0_312_313,axiom,
    ! [X9,X20,X3] :
      ( c_in(X9,X20,X3)
      | ~ hBOOL(hAPP(X20,X9)) ),
    file('<stdin>',cls_mem__def_1) ).

fof(c_0_313_314,axiom,
    ! [X59,X47,X3] :
      ( c_List_Oappend(X47,X59,X3) != c_List_Olist_ONil(X3)
      | X59 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__is__Nil__conv_1) ).

fof(c_0_314_315,axiom,
    ! [X59,X47,X3] :
      ( c_List_Oappend(X47,X59,X3) != c_List_Olist_ONil(X3)
      | X47 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__is__Nil__conv_0) ).

fof(c_0_315_316,axiom,
    ! [X59,X47,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Oappend(X47,X59,X3)
      | X59 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_Nil__is__append__conv_1) ).

fof(c_0_316_317,axiom,
    ! [X59,X47,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Oappend(X47,X59,X3)
      | X47 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_Nil__is__append__conv_0) ).

fof(c_0_317_318,axiom,
    ! [X22] :
      ( hAPP(c_Message_OinvKey,X22) = X22
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat) ),
    file('<stdin>',cls_invKey__K_0) ).

fof(c_0_318_319,axiom,
    ! [X59,X47,X3] :
      ( X59 != c_List_Oappend(X47,X59,X3)
      | X47 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_self__append__conv2_0) ).

fof(c_0_319_320,axiom,
    ! [X59,X47,X3] :
      ( c_List_Oappend(X47,X59,X3) != X59
      | X47 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__self__conv2_0) ).

fof(c_0_320_321,axiom,
    ! [X59,X47,X3] :
      ( X47 != c_List_Oappend(X47,X59,X3)
      | X59 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_self__append__conv_0) ).

fof(c_0_321_322,axiom,
    ! [X59,X47,X3] :
      ( c_List_Oappend(X47,X59,X3) != X47
      | X59 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__self__conv_0) ).

fof(c_0_322_323,axiom,
    ! [X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X9,X3),X9,X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_compl__sup__top_0) ).

fof(c_0_323_324,axiom,
    ! [X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_HOL_Ouminus__class_Ouminus(X9,X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_sup__compl__top_0) ).

fof(c_0_324_325,axiom,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(c_0_325_326,axiom,
    ! [X9,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_sup__top__right_0) ).

fof(c_0_326_327,axiom,
    ! [X9,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X3),X9,X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_sup__top__left_0) ).

fof(c_0_327_328,axiom,
    ! [X47,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_List_Oset(X47,X3)
      | X47 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_set__empty2_0) ).

fof(c_0_328_329,axiom,
    ! [X47,X3] :
      ( c_List_Oset(X47,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X47 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_set__empty_0) ).

fof(c_0_329_330,axiom,
    ! [X9,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Orderings_Obot__class_Obot(X3),X3) = X9 ),
    file('<stdin>',cls_sup__bot__right_0) ).

fof(c_0_330_331,axiom,
    ! [X9,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X3),X9,X3) = X9 ),
    file('<stdin>',cls_sup__bot__left_0) ).

fof(c_0_331_332,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Obot(X3)
      | c_lessequals(c_Orderings_Obot__class_Obot(X3),X9,X3) ),
    file('<stdin>',cls_bot__least_0) ).

fof(c_0_332_333,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Otop(X3)
      | c_lessequals(X9,c_Orderings_Otop__class_Otop(X3),X3) ),
    file('<stdin>',cls_top__greatest_0) ).

fof(c_0_333_334,axiom,
    ! [X7,X34,X41,X11] :
      ( hAPP(c_Public_OpublicKey(X34),X11) != hAPP(c_Public_OpublicKey(X7),X41)
      | X34 = X7 ),
    file('<stdin>',cls_publicKey__inject_0) ).

fof(c_0_334_335,axiom,
    ! [X7,X34,X41,X11] :
      ( hAPP(c_Public_OpublicKey(X34),X11) != hAPP(c_Public_OpublicKey(X7),X41)
      | X11 = X41 ),
    file('<stdin>',cls_publicKey__inject_1) ).

fof(c_0_335_336,axiom,
    ! [X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X9,X3) = X9 ),
    file('<stdin>',cls_sup__idem_0) ).

fof(c_0_336_337,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X9,X9,X3) ),
    file('<stdin>',cls_order__eq__iff_0) ).

fof(c_0_337_338,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X9,X9,X3) ),
    file('<stdin>',cls_order__eq__refl_0) ).

fof(c_0_338_339,axiom,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(X9,X3) != c_HOL_Ouminus__class_Ouminus(X8,X3)
      | X9 = X8 ),
    file('<stdin>',cls_compl__eq__compl__iff_0) ).

fof(c_0_339_340,axiom,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(X39,X3) != c_HOL_Ouminus__class_Ouminus(X34,X3)
      | X39 = X34 ),
    file('<stdin>',cls_neg__equal__iff__equal_0) ).

fof(c_0_340_341,axiom,
    ! [X39,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X39,X3),X3) = X39 ),
    file('<stdin>',cls_minus__minus_0) ).

fof(c_0_341_342,axiom,
    ! [X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X9,X3),X3) = X9 ),
    file('<stdin>',cls_double__compl_0) ).

fof(c_0_342_343,axiom,
    ! [X34,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X34 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X34,X3),X3) ),
    file('<stdin>',cls_equation__minus__iff_0) ).

fof(c_0_343_344,axiom,
    ! [X39,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X39 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X39,X3),X3) ),
    file('<stdin>',cls_equation__minus__iff_1) ).

fof(c_0_344_345,axiom,
    ! [X34,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X34,X3),X3) = X34 ),
    file('<stdin>',cls_minus__equation__iff_1) ).

fof(c_0_345_346,axiom,
    ! [X18,X19,X29,X30] :
      ( c_Event_Oevent_OGets(X30,X19) != c_Event_Oevent_OGets(X29,X18)
      | X19 = X18 ),
    file('<stdin>',cls_event_Osimps_I2_J_1) ).

fof(c_0_346_347,axiom,
    ! [X18,X19,X29,X30] :
      ( c_Event_Oevent_OGets(X30,X19) != c_Event_Oevent_OGets(X29,X18)
      | X30 = X29 ),
    file('<stdin>',cls_event_Osimps_I2_J_0) ).

fof(c_0_347_348,axiom,
    ! [X18,X19,X29,X30] :
      ( c_Event_Oevent_ONotes(X30,X19) != c_Event_Oevent_ONotes(X29,X18)
      | X19 = X18 ),
    file('<stdin>',cls_event_Osimps_I3_J_1) ).

fof(c_0_348_349,axiom,
    ! [X18,X19,X29,X30] :
      ( c_Event_Oevent_ONotes(X30,X19) != c_Event_Oevent_ONotes(X29,X18)
      | X30 = X29 ),
    file('<stdin>',cls_event_Osimps_I3_J_0) ).

fof(c_0_349_350,axiom,
    ! [X16,X17,X18,X19] :
      ( c_Message_Omsg_OCrypt(X17,X19) != c_Message_Omsg_OCrypt(X16,X18)
      | X17 = X16 ),
    file('<stdin>',cls_msg_Osimps_I7_J_0) ).

fof(c_0_350_351,axiom,
    ! [X16,X17,X18,X19] :
      ( c_Message_Omsg_OCrypt(X17,X19) != c_Message_Omsg_OCrypt(X16,X18)
      | X19 = X18 ),
    file('<stdin>',cls_msg_Osimps_I7_J_1) ).

fof(c_0_351_352,axiom,
    ! [X12,X13,X14,X15] :
      ( c_Message_Omsg_OMPair(X15,X13) != c_Message_Omsg_OMPair(X14,X12)
      | X15 = X14 ),
    file('<stdin>',cls_msg_Osimps_I6_J_0) ).

fof(c_0_352_353,axiom,
    ! [X12,X13,X14,X15] :
      ( c_Message_Omsg_OMPair(X15,X13) != c_Message_Omsg_OMPair(X14,X12)
      | X13 = X12 ),
    file('<stdin>',cls_msg_Osimps_I6_J_1) ).

fof(c_0_353_354,axiom,
    ! [X40,X22] :
      ( hAPP(c_Message_OinvKey,X22) != hAPP(c_Message_OinvKey,X40)
      | X22 = X40 ),
    file('<stdin>',cls_invKey__eq_0) ).

fof(c_0_354_355,axiom,
    ! [X16,X17] :
      ( hAPP(c_Message_Omsg_OKey,X17) != hAPP(c_Message_Omsg_OKey,X16)
      | X17 = X16 ),
    file('<stdin>',cls_msg_Osimps_I4_J_0) ).

fof(c_0_355_356,axiom,
    ! [X8,X9] :
      ( hAPP(c_Public_OshrK,X9) != hAPP(c_Public_OshrK,X8)
      | X9 = X8 ),
    file('<stdin>',cls_shrK__injective_0) ).

fof(c_0_356_357,axiom,
    ! [X4,X5] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Oupper__semilattice) ).

fof(c_0_357_358,axiom,
    ! [X4,X5] :
      ( class_Lattices_Obounded__lattice(tc_fun(X4,X5))
      | ~ class_Lattices_Obounded__lattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Obounded__lattice) ).

fof(c_0_358_359,axiom,
    ! [X4,X5] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X4,X5))
      | ~ class_Lattices_Oboolean__algebra(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Oboolean__algebra) ).

fof(c_0_359_360,axiom,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Opreorder) ).

fof(c_0_360_361,axiom,
    ! [X4,X5] :
      ( class_Lattices_Olattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Olattice) ).

fof(c_0_361_362,axiom,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Oorder) ).

fof(c_0_362_363,axiom,
    ! [X4,X5] :
      ( class_Orderings_Otop(tc_fun(X4,X5))
      | ~ class_Orderings_Otop(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Otop) ).

fof(c_0_363_364,axiom,
    ! [X4,X5] :
      ( class_Orderings_Obot(tc_fun(X4,X5))
      | ~ class_Orderings_Obot(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Obot) ).

fof(c_0_364_365,axiom,
    ! [X4,X5] :
      ( class_HOL_Oord(tc_fun(X4,X5))
      | ~ class_HOL_Oord(X5) ),
    file('<stdin>',clsarity_fun__HOL_Oord) ).

fof(c_0_365_366,axiom,
    ! [X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_compl__top__eq_0) ).

fof(c_0_366_367,axiom,
    ! [X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_compl__bot__eq_0) ).

fof(c_0_367_368,axiom,
    ! [X18,X19] :
      ( c_Message_Omsg_OHash(X19) != c_Message_Omsg_OHash(X18)
      | X19 = X18 ),
    file('<stdin>',cls_msg_Osimps_I5_J_0) ).

fof(c_0_368_369,axiom,
    ! [X29,X30] :
      ( c_Message_Omsg_OAgent(X30) != c_Message_Omsg_OAgent(X29)
      | X30 = X29 ),
    file('<stdin>',cls_msg_Osimps_I1_J_0) ).

fof(c_0_369_370,axiom,
    ! [X16,X17] :
      ( c_Message_Omsg_ONonce(X17) != c_Message_Omsg_ONonce(X16)
      | X17 = X16 ),
    file('<stdin>',cls_msg_Osimps_I3_J_0) ).

fof(c_0_370_371,plain,
    ! [X53,X31,X54,X21,X41,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X54),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X54),c_Message_Omsg_OAgent(X11)))))))),X53,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X41,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X54,c_Message_OsymKeys,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X54),c_Event_Oused(X53),tc_Message_Omsg)
      | ~ c_in(X53,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_371_372,plain,
    ! [X53,X31,X54,X21,X41,X11] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X54),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X54),c_Message_Omsg_OAgent(X11)))))))),X53,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X41,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X54,c_Message_OsymKeys,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X54),c_Event_Oused(X53),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X53) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_372_373,plain,
    ! [X10,X31,X22,X21,X11] :
      ( ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X22,X31,X10),hAPP(c_Message_Omsg_OKey,X22)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_373_374,plain,
    ! [X10,X32,X31,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(X11,X21,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_374_375,plain,
    ! [X10,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X11,X21,X22,X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_375_376,plain,
    ! [X10,X65,X22] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(X22,X65,tc_nat)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X65,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_lessequals(X65,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_376_377,plain,
    ! [X10,X50,X2,X51,X31,X22,X52,X21,X41,X11] :
      ( X2 = X50
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X41,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X41),c_Message_Omsg_OMPair(X51,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X52),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X50))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_377_378,plain,
    ! [X10,X50,X2,X51,X31,X22,X52,X21,X41,X11] :
      ( X21 = X52
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X41,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X41),c_Message_Omsg_OMPair(X51,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X52),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X50))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_378_379,plain,
    ! [X10,X50,X2,X51,X31,X22,X52,X21,X41,X11] :
      ( X31 = X51
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X41,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X41),c_Message_Omsg_OMPair(X51,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X52),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X50))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_379_380,plain,
    ! [X10,X50,X2,X51,X31,X22,X52,X21,X41,X11] :
      ( X11 = X41
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X41,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X41),c_Message_Omsg_OMPair(X51,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X52),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X50))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_380_381,plain,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_381_382,plain,
    ! [X10,X65,X22] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X65,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_lessequals(X65,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_382_383,plain,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X22,X66,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_383_384,plain,
    ! [X10,X65,X22] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X65,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X22,X65,tc_nat)
      | ~ c_lessequals(X65,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_384_385,plain,
    ! [X49,X2,X32,X31,X22,X21,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),hAPP(c_Message_Omsg_OKey,X22)))),X49,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X49,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X49,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X49,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_385_386,plain,
    ! [X10,X2,X31,X40,X22,X21,X11] :
      ( ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X22,X31,X10),hAPP(c_Message_Omsg_OKey,X22)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(X40,c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_386_387,plain,
    ! [X56,X2,X20,X32,X31,X22,X52,X21,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X21,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32)))),X56,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X52,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | ~ c_in(X56,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_387_388,plain,
    ! [X49,X2,X32,X31,X22,X21,X11] :
      ( 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(X31),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),hAPP(c_Message_Omsg_OKey,X22)))),X49,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X49,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X49,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X49) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_388_389,plain,
    ! [X56,X2,X20,X32,X31,X22,X52,X21,X11] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X21,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32)))),X56,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X52,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X56) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_389_390,plain,
    ! [X35,X2,X20,X31,X22,X21,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X21,X2),X35,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X11,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),c_List_Oset(X35,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X35,tc_Event_Oevent),tc_Event_Oevent)
      | X11 = c_Message_Oagent_OServer
      | ~ c_in(X35,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_390_391,plain,
    ! [X10,X2,X20,X31,X22,X21,X11] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X22,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_391_392,plain,
    ! [X35,X2,X20,X31,X22,X21,X11] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X21,X2),X35,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X11,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),c_List_Oset(X35,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X35,tc_Event_Oevent),tc_Event_Oevent)
      | X11 = c_Message_Oagent_OServer
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X35) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_392_393,plain,
    ! [X10,X2,X23,X40,X22,X21,X11] :
      ( ~ c_in(X22,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(X40,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_393_394,plain,
    ! [X10,X2,X32,X31,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X21,X2,X10),X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_394_395,plain,
    ! [X10,X2,X32,X31,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_395_396,plain,
    ! [X10,X2,X31,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_396_397,plain,
    ! [X10,X2,X32,X31,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X22,X31,X10),hAPP(c_Message_Omsg_OKey,X22)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_397_398,plain,
    ! [X10,X2,X20,X31,X22,X21,X11] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | X2 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_398_399,plain,
    ! [X10,X2,X23,X40,X22,X21,X11] :
      ( X2 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(X40,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_399_400,plain,
    ! [X10,X2,X23,X40,X22,X21,X11] :
      ( X40 = hAPP(c_Public_OshrK,X11)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(X40,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_400_401,plain,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X11,X21,X2,X10),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_OIssues(X11,X21,X2,X10) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_401_402,plain,
    ! [X10,X2,X31,X22,X21,X11] :
      ( ~ c_in(X22,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_402_403,plain,
    ! [X7,X34,X67,X11] :
      ( c_in(X11,X67,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X34),X11)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X7),X67,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_403_404,plain,
    ! [X7,X34,X67,X11] :
      ( X34 = X7
      | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X34),X11)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X7),X67,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_404_405,plain,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X22,X66,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_405_406,plain,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X22,X66,tc_nat)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_406_407,plain,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_407_408,plain,
    ! [X66,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X66,tc_nat,tc_Message_Omsg),X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X22,X66,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_408_409,plain,
    ! [X10,X2,X32,X31,X22,X21,X11] :
      ( c_NS__Shared__Mirabelle_OIssues(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32)),X10)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_409_410,plain,
    ! [X10,X32,X22,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(X11,X21,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X22,X10),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X22,X10),hAPP(c_Message_Omsg_OKey,X22)))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X32),c_Message_Omsg_ONonce(X32))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_410_411,plain,
    ! [X63,X61,X9,X64,X3] :
      ( hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3)))
      | hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,X63,X3)))
      | ~ hBOOL(hAPP(X64,X61)) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_411_412,plain,
    ! [X63,X61,X9,X64,X3] :
      ( hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3)))
      | hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,X9,X3)))
      | ~ hBOOL(hAPP(X64,X61)) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_412_413,plain,
    ! [X55,X32,X22,X21,X41,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),X55,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X41,X21,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))),c_List_Oset(X55,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | c_in(c_Message_Omsg_ONonce(X32),c_Event_Oused(X55),tc_Message_Omsg)
      | ~ c_in(X55,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_413_414,plain,
    ! [X10,X2,X31,X22,X21,X11] :
      ( X2 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_414_415,plain,
    ! [X63,X61,X9,X64,X3] :
      ( hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3)))
      | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,X9,X3),c_List_Oset(X9,X3),X3)
      | ~ hBOOL(hAPP(X64,X61)) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_415_416,plain,
    ! [X63,X61,X9,X64,X3] :
      ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),c_List_Oset(c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),X3)
      | hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,X63,X3)))
      | ~ hBOOL(hAPP(X64,X61)) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_416_417,plain,
    ! [X63,X61,X9,X64,X3] :
      ( hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3)))
      | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,X63,X3),c_List_Oset(X63,X3),X3)
      | ~ hBOOL(hAPP(X64,X61)) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_417_418,plain,
    ! [X63,X61,X9,X64,X3] :
      ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),c_List_Oset(c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),X3)
      | hBOOL(hAPP(X64,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,X9,X3)))
      | ~ hBOOL(hAPP(X64,X61)) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_418_419,plain,
    ! [X10,X2,X31,X22,X21,X11] :
      ( c_in(X22,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(X21,c_Message_Omsg_OMPair(X22,X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_419_420,plain,
    ! [X9,X67,X11] :
      ( c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X9),X11)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X9),X67,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
      | ~ c_in(X11,X67,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_420_421,plain,
    ! [X63,X61,X9,X64,X3] :
      ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),c_List_Oset(c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),X3)
      | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X64,X9,X3),c_List_Oset(X9,X3),X3)
      | ~ hBOOL(hAPP(X64,X61)) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_421_422,plain,
    ! [X63,X61,X9,X64,X3] :
      ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),c_List_Oset(c_List_Oappend(X9,c_List_Olist_OCons(X61,X63,X3),X3),X3),X3)
      | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X64,X63,X3),c_List_Oset(X63,X3),X3)
      | ~ hBOOL(hAPP(X64,X61)) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_422_423,plain,
    ! [X55,X32,X22,X21,X41,X11] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X32))),X55,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X41,X21,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X21),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X22),c_Message_Omsg_OAgent(X11)))),c_List_Oset(X55,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | c_in(c_Message_Omsg_ONonce(X32),c_Event_Oused(X55),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X55) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_423_424,plain,
    ! [X2,X22,X6,X62] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oparts(X6),tc_Message_Omsg)
      | c_in(X22,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X22,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X62,tc_Message_Omsg))),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_424_425,plain,
    ! [X10,X2,X20,X23,X24,X22,X21,X11] :
      ( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X11,c_Message_Omsg_OCrypt(X24,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OMPair(X21,c_Message_Omsg_OMPair(X22,X2))))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_425_426,plain,
    ! [X10,X54,X22] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | X22 = X54
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X54),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X54,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_426_427,plain,
    ! [X10,X2,X21,X11] :
      ( c_in(c_Event_Oevent_OSays(X11,X21,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X11,X21,X2,X10)),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_NS__Shared__Mirabelle_OIssues(X11,X21,X2,X10) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_427_428,plain,
    ! [X10,X7,X2,X21,X11] :
      ( ~ c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X21,X2),X10,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_428_429,plain,
    ! [X10,X54,X22] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X54),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(X54,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_429_430,plain,
    ! [X9,X10] :
      ( c_in(X9,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(hAPP(c_Message_Omsg_OKey,X9),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X9),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_430_431,plain,
    ! [X42,X21,X11,X44,X3] :
      ( c_lessequals(c_Set_Oimage(X42,X11,X3,X44),c_Set_Oimage(X42,X21,X3,X44),tc_fun(X44,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_431_432,plain,
    ! [X9,X42,X11,X44,X3] :
      ( ~ c_lessequals(X9,X11,tc_fun(X44,tc_bool))
      | c_lessequals(c_Set_Oimage(X42,X9,X44,X3),c_Set_Oimage(X42,X11,X44,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_432_433,plain,
    ! [X2,X6,X62] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X62)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X62)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_433_434,plain,
    ! [X2,X22,X6] :
      ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_434_435,plain,
    ! [X2,X22,X6] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_435_436,plain,
    ! [X45,X31,X21,X11] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),X45,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_ONonce(X31),c_Event_Oused(X45),tc_Message_Omsg)
      | ~ c_in(X45,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_436_437,plain,
    ! [X10,X22] :
      ( ~ c_in(X22,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Event_Oused(X10),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_437_438,plain,
    ! [X7,X2,X6] :
      ( c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X6)),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_438_439,plain,
    ! [X9,X42,X21,X11,X44,X3] :
      ( c_in(hAPP(X42,X9),X21,X3)
      | ~ c_in(X9,X11,X44)
      | ~ c_lessequals(c_Set_Oimage(X42,X11,X44,X3),X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_439_440,plain,
    ! [X10,X33,X22,X21,X11] :
      ( c_NS__Shared__Mirabelle_OIssues(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X33)),X10)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X21,c_Event_Obad,tc_Message_Oagent)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X21,X11,c_Message_Omsg_OCrypt(X22,c_Message_Omsg_ONonce(X33))),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_440_441,plain,
    ! [X9,X7,X34,X57] :
      ( c_in(X9,X57,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Public_OpublicKey(X34),X9),c_Set_Oimage(c_Public_OpublicKey(X7),X57,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_441_442,plain,
    ! [X58,X6,X69,X62] :
      ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X69,X58,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X6),c_Message_Oanalz(X58),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X62),c_Message_Oanalz(X69),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_442_443,plain,
    ! [X45,X31,X21,X11] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_ONonce(X31)))),X45,tc_Event_Oevent))
      | c_in(c_Message_Omsg_ONonce(X31),c_Event_Oused(X45),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X45) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_443_444,plain,
    ! [X9,X11] :
      ( c_in(X9,X11,tc_nat)
      | ~ c_in(hAPP(c_Message_OinvKey,X9),c_Set_Oimage(c_Message_OinvKey,X11,tc_nat,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_444_445,plain,
    ! [X9,X11] :
      ( c_in(X9,X11,tc_nat)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X9),c_Set_Oimage(c_Message_Omsg_OKey,X11,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_445_446,plain,
    ! [X9,X57] :
      ( c_in(X9,X57,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Public_OshrK,X9),c_Set_Oimage(c_Public_OshrK,X57,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_446_447,plain,
    ! [X9,X7,X34,X57] :
      ( X34 = X7
      | ~ c_in(hAPP(c_Public_OpublicKey(X34),X9),c_Set_Oimage(c_Public_OpublicKey(X7),X57,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_447_448,plain,
    ! [X9,X42,X11,X44,X3] :
      ( c_Set_Oinsert(hAPP(X42,X9),c_Set_Oimage(X42,X11,X3,X44),X44) = c_Set_Oimage(X42,X11,X3,X44)
      | ~ c_in(X9,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_448_449,plain,
    ! [X10,X7,X2,X11] :
      ( ~ c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X11,X2),X10,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_449_450,plain,
    ! [X10,X7,X2,X11] :
      ( ~ c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X11,X2),X10,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_450_451,plain,
    ! [X1,X2,X6,X62] :
      ( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X62,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_451_452,axiom,
    ! [X77,X7,X34,X39,X3] :
      ( c_Set_Oinsert(X39,c_Set_Oinsert(X34,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X7,c_Set_Oinsert(X77,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X39 = X77
      | X39 = X7 ),
    c_0_81 ).

fof(c_0_452_453,axiom,
    ! [X77,X7,X34,X39,X3] :
      ( c_Set_Oinsert(X39,c_Set_Oinsert(X34,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X7,c_Set_Oinsert(X77,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X34 = X7
      | X39 = X7 ),
    c_0_82 ).

fof(c_0_453_454,axiom,
    ! [X77,X7,X34,X39,X3] :
      ( c_Set_Oinsert(X39,c_Set_Oinsert(X34,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X7,c_Set_Oinsert(X77,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X39 = X77
      | X34 = X77 ),
    c_0_83 ).

fof(c_0_454_455,axiom,
    ! [X77,X7,X34,X39,X3] :
      ( c_Set_Oinsert(X39,c_Set_Oinsert(X34,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X7,c_Set_Oinsert(X77,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X34 = X7
      | X34 = X77 ),
    c_0_84 ).

fof(c_0_455_456,axiom,
    ! [X63,X61,X9,X3] :
      ( c_in(X9,c_List_Oset(c_List_Oappend(X61,c_List_Olist_OCons(X9,X63,X3),X3),X3),X3)
      | c_in(X9,c_List_Oset(X61,X3),X3) ),
    c_0_85 ).

fof(c_0_456_457,axiom,
    ! [X63,X61,X9,X3] :
      ( c_in(X9,c_List_Oset(c_List_Oappend(X61,c_List_Olist_OCons(X9,X63,X3),X3),X3),X3)
      | c_in(X9,c_List_Oset(X63,X3),X3) ),
    c_0_86 ).

fof(c_0_457_458,plain,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Event_OinitState(X11),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OGets(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(X11,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X11,X2,X10),X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | X11 = c_Message_Oagent_OSpy
      | ~ c_in(X2,c_Event_Oknows(X11,X10),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_458_459,plain,
    ! [X68,X2,X6] :
      ( c_in(X68,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X6)),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X68,c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_459_460,plain,
    ! [X2,X6] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,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(X6)),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_460_461,plain,
    ! [X2,X22,X6,X62] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X62),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Set_Oinsert(X2,X62,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_lessequals(X6,X62,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_461_462,plain,
    ! [X46,X2,X21] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X21,X2),X46,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X46))),tc_Message_Omsg)
      | ~ c_in(X46,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_462_463,plain,
    ! [X61,X9,X57] :
      ( c_in(hAPP(c_Public_OpublicKey(X9),X61),c_Set_Oimage(c_Public_OpublicKey(X9),X57,tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X61,X57,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_463_464,plain,
    ! [X7,X6,X62] :
      ( c_in(X7,c_Message_Oparts(X6),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X62),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_464_465,plain,
    ! [X9,X42,X11,X44,X3] :
      ( c_in(hAPP(X42,X9),c_Set_Oimage(X42,X11,X3,X44),X44)
      | ~ c_in(X9,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_465_466,plain,
    ! [X9,X42,X11,X44,X3] :
      ( c_in(hAPP(X42,X9),c_Set_Oimage(X42,X11,X44,X3),X3)
      | ~ c_in(X9,X11,X44) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_466_467,plain,
    ! [X9,X42,X11,X44,X3] :
      ( ~ c_in(X9,X11,X44)
      | c_in(hAPP(X42,X9),c_Set_Oimage(X42,X11,X44,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_467_468,plain,
    ! [X9,X42,X11,X43,X3] :
      ( ~ c_in(X9,X11,X43)
      | c_in(hAPP(X42,X9),c_Set_Oimage(X42,X11,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_468_469,plain,
    ! [X2,X22,X6] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_469_470,plain,
    ! [X2,X22,X6,X62] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(c_Set_Oinsert(X2,X62,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X62),tc_Message_Omsg)
      | ~ c_lessequals(X6,X62,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_470_471,plain,
    ! [X9,X11] :
      ( c_in(hAPP(c_Message_OinvKey,X9),c_Set_Oimage(c_Message_OinvKey,X11,tc_nat,tc_nat),tc_nat)
      | ~ c_in(X9,X11,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_471_472,plain,
    ! [X9,X11] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X9),c_Set_Oimage(c_Message_Omsg_OKey,X11,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X9,X11,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_472_473,plain,
    ! [X9,X57] :
      ( c_in(hAPP(c_Public_OshrK,X9),c_Set_Oimage(c_Public_OshrK,X57,tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X9,X57,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_473_474,plain,
    ! [X74,X73,X21,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X73,X74,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X21,X74,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X73,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_474_475,plain,
    ! [X10,X2] :
      ( c_in(X2,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X2,X10),X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X2,X10),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X2,X10),X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_475_476,plain,
    ! [X10,X2,X11] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X10,c_List_Olist_OCons(c_Event_Oevent_ONotes(X11,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_476_477,plain,
    ! [X2,X6] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X6)),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_477_478,plain,
    ! [X9,X11,X3] :
      ( X11 = c_Set_Oinsert(X9,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Set_Oinsert(X9,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_478_479,plain,
    ! [X9,X21,X11,X3] :
      ( hBOOL(hAPP(X21,X9))
      | hBOOL(hAPP(X11,X9))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_479_480,plain,
    ! [X46,X2,X21] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X21,X2),X46,tc_Event_Oevent))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X46))),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X46) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_480_481,plain,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_481_482,plain,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_482_483,plain,
    ! [X10,X2] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X10),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Event_Oused(X10),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_483_484,plain,
    ! [X2,X22,X6] :
      ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_484_485,axiom,
    ! [X59,X8,X47,X9,X3] :
      ( c_List_Oappend(X47,c_List_Olist_OCons(X9,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X59,c_List_Olist_OCons(X8,c_List_Olist_ONil(X3),X3),X3)
      | X9 = X8 ),
    c_0_114 ).

fof(c_0_485_486,axiom,
    ! [X59,X8,X47,X9,X3] :
      ( c_List_Oappend(X47,c_List_Olist_OCons(X9,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X59,c_List_Olist_OCons(X8,c_List_Olist_ONil(X3),X3),X3)
      | X47 = X59 ),
    c_0_115 ).

fof(c_0_486_487,plain,
    ! [X8,X47,X9,X3] :
      ( c_in(X8,c_List_Oset(X47,X3),X3)
      | X8 = X9
      | ~ c_in(X8,c_List_Oset(c_List_Olist_OCons(X9,X47,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_487_488,plain,
    ! [X2,X6,X62] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X62),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,X62,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_488_489,plain,
    ! [X2,X22,X6] :
      ( c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_489_490,plain,
    ! [X10,X22] :
      ( ~ c_in(X22,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10))),tc_nat)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),c_Event_Oused(X10),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_490_491,axiom,
    ! [X10,X2,X11] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X10,c_List_Olist_OCons(c_Event_Oevent_ONotes(X11,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X10)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    c_0_120 ).

fof(c_0_491_492,plain,
    ! [X73,X21,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X21,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X73,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_492_493,plain,
    ! [X73,X21,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X21,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X73,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_493_494,plain,
    ! [X2,X6,X11] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),X2),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_494_495,plain,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_495_496,axiom,
    ! [X42,X11,X44,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X42,X11,X44,X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X44,tc_bool)) ),
    c_0_125 ).

fof(c_0_496_497,axiom,
    ! [X42,X11,X44,X3] :
      ( c_Set_Oimage(X42,X11,X44,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X44,tc_bool)) ),
    c_0_126 ).

fof(c_0_497_498,plain,
    ! [X7,X62,X11] :
      ( c_in(X7,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X11,X62,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oanalz(X62),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_498_499,plain,
    ! [X73,X21,X11,X3] :
      ( c_lessequals(X11,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X73,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_499_500,plain,
    ! [X73,X21,X11,X3] :
      ( c_lessequals(X21,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X73,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_500_501,plain,
    ! [X7,X21,X11,X3] :
      ( c_in(X7,X21,X3)
      | c_in(X7,X11,X3)
      | ~ c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_501_502,plain,
    ! [X21,X11,X3] :
      ( c_lessequals(X21,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X21,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_502_503,plain,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | c_in(X9,X11,X3)
      | ~ c_lessequals(X11,c_Set_Oinsert(X9,X21,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_503_504,plain,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Set_Oinsert(X9,X21,X3),tc_fun(X3,tc_bool))
      | c_in(X9,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_504_505,plain,
    ! [X34,X39,X3] :
      ( X34 = X39
      | ~ c_in(X34,c_Set_Oinsert(X39,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_505_506,plain,
    ! [X8,X9,X11,X3] :
      ( hBOOL(hAPP(X11,X9))
      | X8 = X9
      | ~ hBOOL(hAPP(c_Set_Oinsert(X8,X11,X3),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_506_507,plain,
    ! [X10,X11] :
      ( c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_507_508,plain,
    ! [X10,X11] :
      ( c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_508_509,plain,
    ! [X39,X74,X73,X3] :
      ( c_lessequals(c_Set_Oinsert(X39,X73,X3),c_Set_Oinsert(X39,X74,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X73,X74,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_509_510,plain,
    ! [X2,X22,X6] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_510_511,plain,
    ! [X2,X22,X6] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_511_512,plain,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(c_Set_Oinsert(X9,X11,X3),X21,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | ~ c_in(X9,X21,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_512_513,plain,
    ! [X1,X2,X6] :
      ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_513_514,plain,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X11,X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_514_515,plain,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X11,X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_515_516,plain,
    ! [X1,X2,X6] :
      ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_516_517,plain,
    ! [X9,X21,X11,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X9))
      | ~ hBOOL(hAPP(X21,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_517_518,plain,
    ! [X9,X21,X11,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X9))
      | ~ hBOOL(hAPP(X11,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_518_519,plain,
    ! [X10,X34,X11] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X34),X11))),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_519_520,axiom,
    ! [X2,X22,X6] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X22)),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    c_0_149 ).

fof(c_0_520_521,plain,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X9,X11,X3),X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_521_522,plain,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Event_Oknows(X11,X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X11,X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_522_523,plain,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X11,X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_523_524,plain,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X9,X21,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | c_in(X9,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_524_525,plain,
    ! [X9,X21,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X9,X21,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | c_in(X9,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_525_526,plain,
    ! [X7,X39,X62] :
      ( c_in(X7,c_Message_Oanalz(c_Set_Oinsert(X39,X62,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oanalz(X62),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_526_527,plain,
    ! [X7,X39,X62] :
      ( c_in(X7,c_Message_Oparts(c_Set_Oinsert(X39,X62,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oparts(X62),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_527_528,plain,
    ! [X10,X2,X21,X11] :
      ( c_in(X2,c_Event_Oused(X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X11,X21,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_528_529,plain,
    ! [X9,X21,X11,X3] :
      ( c_in(X9,X21,X3)
      | ~ c_lessequals(c_Set_Oinsert(X9,X11,X3),X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_529_530,plain,
    ! [X10,X11] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_530_531,plain,
    ! [X10,X11] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X10,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_531_532,plain,
    ! [X21,X11,X3] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X21,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_532_533,plain,
    ! [X21,X11,X3] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X21,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X21,X11,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_533_534,plain,
    ! [X9,X34,X39,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X39,X34,X3),X9,X3)
      | ~ c_lessequals(X34,X9,X3)
      | ~ c_lessequals(X39,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_534_535,plain,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X8,X72,X3),X9,X3)
      | ~ c_lessequals(X72,X9,X3)
      | ~ c_lessequals(X8,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_535_536,plain,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X72,X3)
      | ~ c_lessequals(X8,X72,X3)
      | ~ c_lessequals(X9,X72,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_536_537,plain,
    ! [X2,X6] :
      ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X6))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_537_538,axiom,
    ! [X34,X39,X3] :
      ( c_Set_Oinsert(X39,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X34,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X39 = X34 ),
    c_0_167 ).

fof(c_0_538_539,plain,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X72,X3) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X72,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_539_540,plain,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X72,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X72,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_540_541,plain,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X72,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X72,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_541_542,plain,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X72,X3) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X72,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_542_543,axiom,
    ! [X58,X6,X69,X62] :
      ( c_Message_Oanalz(X6) != c_Message_Oanalz(X58)
      | c_Message_Oanalz(X62) != c_Message_Oanalz(X69)
      | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X62,X6,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X69,X58,tc_fun(tc_Message_Omsg,tc_bool))) ),
    c_0_172 ).

fof(c_0_543_544,plain,
    ! [X10,X2,X11] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X11,X2),X10,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_544_545,plain,
    ! [X2,X6,X62] :
      ( c_Message_Oanalz(c_Set_Oinsert(X2,X62,tc_Message_Omsg)) = c_Message_Oanalz(X62)
      | ~ c_lessequals(X6,X62,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_545_546,plain,
    ! [X1,X2,X6] :
      ( c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_546_547,plain,
    ! [X73,X21,X11,X3] :
      ( c_lessequals(X11,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X21,X73,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_547_548,plain,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_ONotes(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_548_549,plain,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X8,X72,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X72,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_549_550,plain,
    ! [X72,X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X9,X72,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X72,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_550_551,plain,
    ! [X9,X34,X39,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X34,X9,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X39,X34,X3),X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_551_552,plain,
    ! [X9,X34,X39,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X39,X9,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X39,X34,X3),X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_552_553,plain,
    ! [X34,X39,X11,X3] :
      ( c_in(X39,X11,X3)
      | X39 = X34
      | ~ c_in(X39,c_Set_Oinsert(X34,X11,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_553_554,axiom,
    ! [X22,X6] :
      ( c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X22),c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(X22,c_Message_OkeysFor(c_Message_Oanalz(X6)),tc_nat) ),
    c_0_183 ).

fof(c_0_554_555,plain,
    ! [X34,X21,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X34,X21,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_555_556,plain,
    ! [X2,X22,X6] :
      ( c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_556_557,plain,
    ! [X7,X21,X11,X3] :
      ( c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X3)
      | ~ c_in(X7,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_557_558,plain,
    ! [X7,X21,X11,X3] :
      ( c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)),X3)
      | ~ c_in(X7,X21,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_558_559,plain,
    ! [X8,X9,X11,X3] :
      ( hBOOL(hAPP(c_Set_Oinsert(X8,X11,X3),X9))
      | ~ hBOOL(hAPP(X11,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_559_560,plain,
    ! [X2,X22,X6] :
      ( c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_560_561,plain,
    ! [X2,X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_561_562,plain,
    ! [X2,X22,X6] :
      ( c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_562_563,plain,
    ! [X7,X11,X3] :
      ( ~ c_in(X7,X11,X3)
      | ~ c_in(X7,c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_563_564,axiom,
    ! [X9,X21,X11,X3] :
      ( c_Set_Oinsert(X9,X11,X3) != c_Set_Oinsert(X9,X21,X3)
      | c_in(X9,X21,X3)
      | c_in(X9,X11,X3)
      | X11 = X21 ),
    c_0_193 ).

fof(c_0_564_565,plain,
    ! [X2,X6,X62] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_lessequals(X62,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oparts(X62),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_565_566,plain,
    ! [X2,X6,X62] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_lessequals(X62,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oanalz(X62),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_566_567,plain,
    ! [X2,X6,X62] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_lessequals(X62,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(X62),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_567_568,plain,
    ! [X2,X22,X6] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_568_569,plain,
    ! [X1,X2,X6] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X2,X1),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_569_570,plain,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X2,X1),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_570_571,plain,
    ! [X1,X2,X6] :
      ( c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_571_572,plain,
    ! [X2,X22,X6] :
      ( c_in(X22,c_Message_OkeysFor(X6),tc_nat)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_572_573,plain,
    ! [X70,X21,X11,X3] :
      ( c_in(X70,X21,X3)
      | ~ c_in(X70,X11,X3)
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_573_574,plain,
    ! [X9,X21,X11,X3] :
      ( c_in(X9,X21,X3)
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool))
      | ~ c_in(X9,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_574_575,plain,
    ! [X7,X21,X11,X3] :
      ( c_in(X7,X21,X3)
      | ~ c_in(X7,X11,X3)
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_575_576,plain,
    ! [X9,X21,X11,X3] :
      ( c_in(X9,X21,X3)
      | ~ c_in(X9,X11,X3)
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_576_577,plain,
    ! [X11,X3] :
      ( X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_577_578,plain,
    ! [X9,X34,X39,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X39,X34,X3),X3)
      | ~ c_lessequals(X9,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_578_579,plain,
    ! [X9,X34,X39,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X39,X34,X3),X3)
      | ~ c_lessequals(X9,X39,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_579_580,axiom,
    ! [X10,X2,X11] :
      ( c_Event_Oknows(X11,c_List_Olist_OCons(c_Event_Oevent_OGets(X11,X2),X10,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X11,X10),tc_Message_Omsg)
      | X11 = c_Message_Oagent_OSpy ),
    c_0_209 ).

fof(c_0_580_581,plain,
    ! [X34,X39,X11,X3] :
      ( c_in(X39,c_Set_Oinsert(X34,X11,X3),X3)
      | ~ c_in(X39,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_581_582,plain,
    ! [X34,X39,X21,X3] :
      ( c_in(X39,c_Set_Oinsert(X34,X21,X3),X3)
      | ~ c_in(X39,X21,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_582_583,plain,
    ! [X21,X11,X3] :
      ( X11 = X21
      | ~ c_lessequals(X21,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_583_584,plain,
    ! [X21,X11,X3] :
      ( X11 = X21
      | ~ c_lessequals(X21,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_584_585,plain,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Event_Oknows(X11,X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent)
      | X11 = c_Message_Oagent_OSpy ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_585_586,plain,
    ! [X9,X71,X42,X44,X3] :
      ( ~ class_HOL_Oord(X44)
      | c_lessequals(hAPP(X42,X9),hAPP(X71,X9),X44)
      | ~ c_lessequals(X42,X71,tc_fun(X3,X44)) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_586_587,plain,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Event_Oknows(X11,X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_587_588,plain,
    ! [X72,X8,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X72,X9,X3)
      | ~ c_lessequals(X72,X8,X3)
      | ~ c_lessequals(X8,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_588_589,plain,
    ! [X72,X8,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X9,X72,X3)
      | ~ c_lessequals(X8,X72,X3)
      | ~ c_lessequals(X9,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_589_590,axiom,
    ! [X10,X2,X11] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X11,X2),X10,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X10)
      | c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    c_0_219 ).

fof(c_0_590_591,plain,
    ! [X11,X3] :
      ( X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_591_592,plain,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X39,X34,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X34,X3),c_HOL_Ouminus__class_Ouminus(X39,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_592_593,axiom,
    ! [X2,X58,X6] :
      ( c_Message_Oanalz(X6) != c_Message_Oanalz(X58)
      | c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X58,tc_Message_Omsg)) ),
    c_0_222 ).

fof(c_0_593_594,plain,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X62)),c_Message_Osynth(c_Message_Oanalz(X6)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_594_595,plain,
    ! [X10,X11] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg)
      | ~ c_in(X11,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_595_596,plain,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_596_597,plain,
    ! [X1,X2,X6] :
      ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_597_598,plain,
    ! [X10,X7] :
      ( c_in(X7,c_Event_Oused(X10),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X10)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_598_599,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_599_600,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_600_601,plain,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(X2),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(X2),c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_601_602,plain,
    ! [X10,X2,X11] :
      ( c_in(X2,c_Event_Oused(X10),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X11,X2),c_List_Oset(X10,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_602_603,plain,
    ! [X6,X62] :
      ( c_lessequals(X62,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Osynth(X62),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_603_604,plain,
    ! [X6,X62] :
      ( c_lessequals(X62,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oparts(X62),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_604_605,plain,
    ! [X6,X62] :
      ( c_lessequals(X62,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X62),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_605_606,plain,
    ! [X9,X64,X3] :
      ( ~ hBOOL(hAPP(X64,X9))
      | ~ c_in(X9,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_606_607,plain,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X34,c_HOL_Ouminus__class_Ouminus(X39,X3),X3)
      | ~ c_lessequals(X39,c_HOL_Ouminus__class_Ouminus(X34,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_607_608,plain,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X39,c_HOL_Ouminus__class_Ouminus(X34,X3),X3)
      | ~ c_lessequals(X34,c_HOL_Ouminus__class_Ouminus(X39,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_608_609,plain,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X34,X3),X39,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X39,X3),X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_609_610,plain,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X39,X3),X34,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X34,X3),X39,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_610_611,plain,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Osynth(X62),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_611_612,plain,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Oparts(X62),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_612_613,plain,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Oanalz(X62),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_613_614,plain,
    ! [X2,X22,X6] :
      ( c_in(hAPP(c_Message_OinvKey,X22),c_Message_OkeysFor(X6),tc_nat)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),X6,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_614_615,plain,
    ! [X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_615_616,plain,
    ! [X2,X6] :
      ( c_Message_Oanalz(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Message_Oanalz(X6)
      | ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_616_617,plain,
    ! [X2,X6] :
      ( c_Message_Oparts(c_Set_Oinsert(X2,X6,tc_Message_Omsg)) = c_Message_Oparts(X6)
      | ~ c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_617_618,plain,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Osynth(X62),c_Message_Osynth(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_618_619,plain,
    ! [X6,X62] :
      ( c_lessequals(c_Message_OkeysFor(X62),c_Message_OkeysFor(X6),tc_fun(tc_nat,tc_bool))
      | ~ c_lessequals(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_619_620,plain,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Oparts(X62),c_Message_Oparts(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_620_621,plain,
    ! [X6,X62] :
      ( c_lessequals(c_Message_Oanalz(X62),c_Message_Oanalz(X6),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X62,X6,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_621_622,plain,
    ! [X22,X6] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X22),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X22),X6,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_622_623,axiom,
    ! [X21,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)) != X21
      | c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    c_0_252 ).

fof(c_0_623_624,plain,
    ! [X21,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)) = X21
      | ~ c_lessequals(X11,X21,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_624_625,plain,
    ! [X21,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)) = X11
      | ~ c_lessequals(X21,X11,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_625_626,plain,
    ! [X9,X75,X64,X3] :
      ( hBOOL(hAPP(X75,X9))
      | ~ hBOOL(hAPP(X64,X9))
      | ~ c_lessequals(X64,X75,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_626_627,plain,
    ! [X9,X75,X64,X3] :
      ( hBOOL(hAPP(X75,X9))
      | ~ c_lessequals(X64,X75,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X64,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_627_628,plain,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X34,X3),c_HOL_Ouminus__class_Ouminus(X39,X3),X3)
      | ~ c_lessequals(X39,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_628_629,plain,
    ! [X9,X64,X3] :
      ( hBOOL(hAPP(X64,X9))
      | ~ c_in(X9,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_629_630,plain,
    ! [X1,X2,X6] :
      ( c_in(X2,c_Event_Oused(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Event_Oused(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_630_631,plain,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Event_Oused(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Event_Oused(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_631_632,plain,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_632_633,plain,
    ! [X1,X2,X6] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_633_634,plain,
    ! [X1,X2,X6] :
      ( c_in(X1,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oparts(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_634_635,plain,
    ! [X1,X2,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oparts(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_635_636,plain,
    ! [X2,X22,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X22,X2),c_Message_Oparts(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_636_637,axiom,
    ! [X21,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_266 ).

fof(c_0_637_638,axiom,
    ! [X21,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X21,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X21 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_267 ).

fof(c_0_638_639,axiom,
    ! [X61,X9,X3] :
      ( c_Set_Oinsert(X9,X61,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_in(X9,X61,X3) ),
    c_0_268 ).

fof(c_0_639_640,plain,
    ! [X8,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X8
      | ~ c_lessequals(X8,X9,X3)
      | ~ c_lessequals(X9,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_640_641,plain,
    ! [X8,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X8
      | ~ c_lessequals(X8,X9,X3)
      | ~ c_lessequals(X9,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_641_642,plain,
    ! [X8,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X8
      | ~ c_lessequals(X9,X8,X3)
      | ~ c_lessequals(X8,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_642_643,axiom,
    ! [X7,X11,X3] :
      ( c_in(X7,c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)),X3)
      | c_in(X7,X11,X3) ),
    c_0_272 ).

fof(c_0_643_644,axiom,
    ! [X60,X59,X47,X3] :
      ( c_List_Oappend(X47,X59,X3) != c_List_Oappend(X47,X60,X3)
      | X59 = X60 ),
    c_0_273 ).

fof(c_0_644_645,axiom,
    ! [X60,X59,X47,X3] :
      ( c_List_Oappend(X59,X47,X3) != c_List_Oappend(X60,X47,X3)
      | X59 = X60 ),
    c_0_274 ).

fof(c_0_645_646,axiom,
    ! [X36,X37,X38,X39,X3] :
      ( c_List_Olist_OCons(X39,X37,X3) != c_List_Olist_OCons(X38,X36,X3)
      | X39 = X38 ),
    c_0_275 ).

fof(c_0_646_647,axiom,
    ! [X36,X37,X38,X39,X3] :
      ( c_List_Olist_OCons(X39,X37,X3) != c_List_Olist_OCons(X38,X36,X3)
      | X37 = X36 ),
    c_0_276 ).

fof(c_0_647_648,axiom,
    ! [X18,X19,X25,X26,X27,X28] :
      ( c_Event_Oevent_OSays(X28,X26,X19) != c_Event_Oevent_OSays(X27,X25,X18)
      | X28 = X27 ),
    c_0_277 ).

fof(c_0_648_649,axiom,
    ! [X18,X19,X25,X26,X27,X28] :
      ( c_Event_Oevent_OSays(X28,X26,X19) != c_Event_Oevent_OSays(X27,X25,X18)
      | X26 = X25 ),
    c_0_278 ).

fof(c_0_649_650,axiom,
    ! [X18,X19,X25,X26,X27,X28] :
      ( c_Event_Oevent_OSays(X28,X26,X19) != c_Event_Oevent_OSays(X27,X25,X18)
      | X19 = X18 ),
    c_0_279 ).

fof(c_0_650_651,plain,
    ! [X10,X2,X21] :
      ( c_in(X2,c_Event_Oused(X10),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(c_Event_OinitState(X21)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_651_652,plain,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_652_653,plain,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(c_Message_Oparts(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_653_654,plain,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(c_Message_Oanalz(X6)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_654_655,plain,
    ! [X22] :
      ( c_in(X22,c_Message_OsymKeys,tc_nat)
      | ~ c_in(hAPP(c_Message_OinvKey,X22),c_Message_OsymKeys,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_655_656,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_656_657,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_657_658,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_658_659,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_659_660,plain,
    ! [X48,X6] :
      ( c_in(c_Message_Omsg_ONonce(X48),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_ONonce(X48),c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_660_661,plain,
    ! [X23,X6] :
      ( c_in(c_Message_Omsg_ONonce(X23),X6,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_ONonce(X23),c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_290]) ).

fof(c_0_661_662,plain,
    ! [X2,X6] :
      ( c_in(c_Message_Omsg_OHash(X2),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_291]) ).

fof(c_0_662_663,plain,
    ! [X23,X6] :
      ( c_in(c_Message_Omsg_ONonce(X23),c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_ONonce(X23),X6,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_663_664,plain,
    ! [X22] :
      ( c_in(hAPP(c_Message_OinvKey,X22),c_Message_OsymKeys,tc_nat)
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_664_665,plain,
    ! [X7,X6] :
      ( ~ c_in(X7,c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_665_666,plain,
    ! [X7,X6] :
      ( c_in(X7,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_666_667,plain,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_667_668,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) != X8
      | c_lessequals(X9,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_668_669,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) = X9
      | ~ c_lessequals(X8,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_298]) ).

fof(c_0_669_670,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) = X8
      | ~ c_lessequals(X9,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_299]) ).

fof(c_0_670_671,plain,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Osynth(X6),tc_Message_Omsg)
      | ~ c_in(X2,X6,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_300]) ).

fof(c_0_671_672,plain,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X2,X6,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_301]) ).

fof(c_0_672_673,plain,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg)
      | ~ c_in(X2,X6,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_673_674,plain,
    ! [X39,X11,X3] :
      ( c_Set_Oinsert(X39,X11,X3) = X11
      | ~ c_in(X39,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_674_675,axiom,
    ! [X21,X11,X3] :
      ( c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X21,tc_fun(X3,tc_bool))
      | X11 = X21 ),
    c_0_304 ).

fof(c_0_675_676,plain,
    ! [X8,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X8,X9,X3)
      | c_lessequals(X9,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_676_677,plain,
    ! [X76,X64] :
      ( hBOOL(hAPP(X64,X76))
      | ~ hBOOL(hAPP(X64,c_Public_Okeymode_OEncryption))
      | ~ hBOOL(hAPP(X64,c_Public_Okeymode_OSignature)) ),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_677_678,plain,
    ! [X9,X20,X3] :
      ( hBOOL(hAPP(X20,X9))
      | ~ c_in(X9,X20,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_678_679,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) = c_Lattices_Oupper__semilattice__class_Osup(X8,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_679_680,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X3) = c_Lattices_Oupper__semilattice__class_Osup(X8,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_680_681,plain,
    ! [X21,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X21,X3) != c_Orderings_Obot__class_Obot(X3)
      | X21 = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_681_682,plain,
    ! [X21,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X21,X3) != c_Orderings_Obot__class_Obot(X3)
      | X11 = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_682_683,plain,
    ! [X9,X20,X3] :
      ( c_in(X9,X20,X3)
      | ~ hBOOL(hAPP(X20,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_683_684,axiom,
    ! [X59,X47,X3] :
      ( c_List_Oappend(X47,X59,X3) != c_List_Olist_ONil(X3)
      | X59 = c_List_Olist_ONil(X3) ),
    c_0_313 ).

fof(c_0_684_685,axiom,
    ! [X59,X47,X3] :
      ( c_List_Oappend(X47,X59,X3) != c_List_Olist_ONil(X3)
      | X47 = c_List_Olist_ONil(X3) ),
    c_0_314 ).

fof(c_0_685_686,axiom,
    ! [X59,X47,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Oappend(X47,X59,X3)
      | X59 = c_List_Olist_ONil(X3) ),
    c_0_315 ).

fof(c_0_686_687,axiom,
    ! [X59,X47,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Oappend(X47,X59,X3)
      | X47 = c_List_Olist_ONil(X3) ),
    c_0_316 ).

fof(c_0_687_688,plain,
    ! [X22] :
      ( hAPP(c_Message_OinvKey,X22) = X22
      | ~ c_in(X22,c_Message_OsymKeys,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_688_689,axiom,
    ! [X59,X47,X3] :
      ( X59 != c_List_Oappend(X47,X59,X3)
      | X47 = c_List_Olist_ONil(X3) ),
    c_0_318 ).

fof(c_0_689_690,axiom,
    ! [X59,X47,X3] :
      ( c_List_Oappend(X47,X59,X3) != X59
      | X47 = c_List_Olist_ONil(X3) ),
    c_0_319 ).

fof(c_0_690_691,axiom,
    ! [X59,X47,X3] :
      ( X47 != c_List_Oappend(X47,X59,X3)
      | X59 = c_List_Olist_ONil(X3) ),
    c_0_320 ).

fof(c_0_691_692,axiom,
    ! [X59,X47,X3] :
      ( c_List_Oappend(X47,X59,X3) != X47
      | X59 = c_List_Olist_ONil(X3) ),
    c_0_321 ).

fof(c_0_692_693,plain,
    ! [X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X9,X3),X9,X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_693_694,plain,
    ! [X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_HOL_Ouminus__class_Ouminus(X9,X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_694_695,plain,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_695_696,plain,
    ! [X9,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_696_697,plain,
    ! [X9,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X3),X9,X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_326]) ).

fof(c_0_697_698,axiom,
    ! [X47,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_List_Oset(X47,X3)
      | X47 = c_List_Olist_ONil(X3) ),
    c_0_327 ).

fof(c_0_698_699,axiom,
    ! [X47,X3] :
      ( c_List_Oset(X47,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X47 = c_List_Olist_ONil(X3) ),
    c_0_328 ).

fof(c_0_699_700,plain,
    ! [X9,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Orderings_Obot__class_Obot(X3),X3) = X9 ),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_700_701,plain,
    ! [X9,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X3),X9,X3) = X9 ),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_701_702,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Obot(X3)
      | c_lessequals(c_Orderings_Obot__class_Obot(X3),X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_702_703,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Otop(X3)
      | c_lessequals(X9,c_Orderings_Otop__class_Otop(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_703_704,axiom,
    ! [X7,X34,X41,X11] :
      ( hAPP(c_Public_OpublicKey(X34),X11) != hAPP(c_Public_OpublicKey(X7),X41)
      | X34 = X7 ),
    c_0_333 ).

fof(c_0_704_705,axiom,
    ! [X7,X34,X41,X11] :
      ( hAPP(c_Public_OpublicKey(X34),X11) != hAPP(c_Public_OpublicKey(X7),X41)
      | X11 = X41 ),
    c_0_334 ).

fof(c_0_705_706,plain,
    ! [X9,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X9,X3) = X9 ),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_706_707,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X9,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_707_708,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X9,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_708_709,plain,
    ! [X8,X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(X9,X3) != c_HOL_Ouminus__class_Ouminus(X8,X3)
      | X9 = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_709_710,plain,
    ! [X34,X39,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(X39,X3) != c_HOL_Ouminus__class_Ouminus(X34,X3)
      | X39 = X34 ),
    inference(fof_simplification,[status(thm)],[c_0_339]) ).

fof(c_0_710_711,plain,
    ! [X39,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X39,X3),X3) = X39 ),
    inference(fof_simplification,[status(thm)],[c_0_340]) ).

fof(c_0_711_712,plain,
    ! [X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X9,X3),X3) = X9 ),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_712_713,plain,
    ! [X34,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X34 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X34,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_713_714,plain,
    ! [X39,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X39 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X39,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_343]) ).

fof(c_0_714_715,plain,
    ! [X34,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X34,X3),X3) = X34 ),
    inference(fof_simplification,[status(thm)],[c_0_344]) ).

fof(c_0_715_716,axiom,
    ! [X18,X19,X29,X30] :
      ( c_Event_Oevent_OGets(X30,X19) != c_Event_Oevent_OGets(X29,X18)
      | X19 = X18 ),
    c_0_345 ).

fof(c_0_716_717,axiom,
    ! [X18,X19,X29,X30] :
      ( c_Event_Oevent_OGets(X30,X19) != c_Event_Oevent_OGets(X29,X18)
      | X30 = X29 ),
    c_0_346 ).

fof(c_0_717_718,axiom,
    ! [X18,X19,X29,X30] :
      ( c_Event_Oevent_ONotes(X30,X19) != c_Event_Oevent_ONotes(X29,X18)
      | X19 = X18 ),
    c_0_347 ).

fof(c_0_718_719,axiom,
    ! [X18,X19,X29,X30] :
      ( c_Event_Oevent_ONotes(X30,X19) != c_Event_Oevent_ONotes(X29,X18)
      | X30 = X29 ),
    c_0_348 ).

fof(c_0_719_720,axiom,
    ! [X16,X17,X18,X19] :
      ( c_Message_Omsg_OCrypt(X17,X19) != c_Message_Omsg_OCrypt(X16,X18)
      | X17 = X16 ),
    c_0_349 ).

fof(c_0_720_721,axiom,
    ! [X16,X17,X18,X19] :
      ( c_Message_Omsg_OCrypt(X17,X19) != c_Message_Omsg_OCrypt(X16,X18)
      | X19 = X18 ),
    c_0_350 ).

fof(c_0_721_722,axiom,
    ! [X12,X13,X14,X15] :
      ( c_Message_Omsg_OMPair(X15,X13) != c_Message_Omsg_OMPair(X14,X12)
      | X15 = X14 ),
    c_0_351 ).

fof(c_0_722_723,axiom,
    ! [X12,X13,X14,X15] :
      ( c_Message_Omsg_OMPair(X15,X13) != c_Message_Omsg_OMPair(X14,X12)
      | X13 = X12 ),
    c_0_352 ).

fof(c_0_723_724,axiom,
    ! [X40,X22] :
      ( hAPP(c_Message_OinvKey,X22) != hAPP(c_Message_OinvKey,X40)
      | X22 = X40 ),
    c_0_353 ).

fof(c_0_724_725,axiom,
    ! [X16,X17] :
      ( hAPP(c_Message_Omsg_OKey,X17) != hAPP(c_Message_Omsg_OKey,X16)
      | X17 = X16 ),
    c_0_354 ).

fof(c_0_725_726,axiom,
    ! [X8,X9] :
      ( hAPP(c_Public_OshrK,X9) != hAPP(c_Public_OshrK,X8)
      | X9 = X8 ),
    c_0_355 ).

fof(c_0_726_727,plain,
    ! [X4,X5] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_727_728,plain,
    ! [X4,X5] :
      ( class_Lattices_Obounded__lattice(tc_fun(X4,X5))
      | ~ class_Lattices_Obounded__lattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_357]) ).

fof(c_0_728_729,plain,
    ! [X4,X5] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X4,X5))
      | ~ class_Lattices_Oboolean__algebra(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_358]) ).

fof(c_0_729_730,plain,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_359]) ).

fof(c_0_730_731,plain,
    ! [X4,X5] :
      ( class_Lattices_Olattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_360]) ).

fof(c_0_731_732,plain,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_361]) ).

fof(c_0_732_733,plain,
    ! [X4,X5] :
      ( class_Orderings_Otop(tc_fun(X4,X5))
      | ~ class_Orderings_Otop(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_362]) ).

fof(c_0_733_734,plain,
    ! [X4,X5] :
      ( class_Orderings_Obot(tc_fun(X4,X5))
      | ~ class_Orderings_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_363]) ).

fof(c_0_734_735,plain,
    ! [X4,X5] :
      ( class_HOL_Oord(tc_fun(X4,X5))
      | ~ class_HOL_Oord(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_364]) ).

fof(c_0_735_736,plain,
    ! [X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_365]) ).

fof(c_0_736_737,plain,
    ! [X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_737_738,axiom,
    ! [X18,X19] :
      ( c_Message_Omsg_OHash(X19) != c_Message_Omsg_OHash(X18)
      | X19 = X18 ),
    c_0_367 ).

fof(c_0_738_739,axiom,
    ! [X29,X30] :
      ( c_Message_Omsg_OAgent(X30) != c_Message_Omsg_OAgent(X29)
      | X30 = X29 ),
    c_0_368 ).

fof(c_0_739_740,axiom,
    ! [X16,X17] :
      ( c_Message_Omsg_ONonce(X17) != c_Message_Omsg_ONonce(X16)
      | X17 = X16 ),
    c_0_369 ).

fof(c_0_740_741,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X60,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X60),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X56),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X58),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X57),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X58),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X57),c_Message_Omsg_OAgent(X60)))))))),X55,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X59,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X60),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X58),c_Message_Omsg_ONonce(X56)))),c_List_Oset(X55,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X57,c_Message_OsymKeys,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X57),c_Event_Oused(X55),tc_Message_Omsg)
      | ~ c_in(X55,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_370]) ).

fof(c_0_741_742,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X60,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X60),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X56),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X58),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X57),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X58),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X57),c_Message_Omsg_OAgent(X60)))))))),X55,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X59,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X60),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X58),c_Message_Omsg_ONonce(X56)))),c_List_Oset(X55,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X57,c_Message_OsymKeys,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X57),c_Event_Oused(X55),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X55) ),
    inference(variable_rename,[status(thm)],[c_0_371]) ).

fof(c_0_742_743,plain,
    ! [X32,X33,X34,X35,X36] :
      ( ~ c_in(hAPP(c_Message_Omsg_OKey,X34),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X32)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X33,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X34,X33,X32),hAPP(c_Message_Omsg_OKey,X34)))),c_List_Oset(X32,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X32,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X35,c_Event_Obad,tc_Message_Oagent)
      | c_in(X36,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X36,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X36),c_Message_Omsg_OMPair(X33,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X35),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X34),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X35),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X34),c_Message_Omsg_OAgent(X36)))))))),c_List_Oset(X32,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_372])])]) ).

fof(c_0_743_744,plain,
    ! [X33,X34,X35,X36,X37,X38] :
      ( c_in(c_Event_Oevent_OSays(X38,X37,c_Message_Omsg_OCrypt(X36,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X34),c_Message_Omsg_ONonce(X34)))),c_List_Oset(X33,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(X36,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X34),c_Message_Omsg_ONonce(X34))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X38,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X38),c_Message_Omsg_OMPair(X35,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X37),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X36),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X37),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X36),c_Message_Omsg_OAgent(X38)))))))),c_List_Oset(X33,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(hAPP(c_Message_Omsg_OKey,X36),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg)
      | ~ c_in(X33,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X37,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_373]) ).

fof(c_0_744_745,plain,
    ! [X23,X24,X25,X26] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X26,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X26),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X26,X25,X24,X23),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X25),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X24),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X25),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X24),c_Message_Omsg_OAgent(X26)))))))),c_List_Oset(X23,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X23,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X25,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X25),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X24),c_Message_Omsg_OAgent(X26))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X23)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_374]) ).

fof(c_0_745_746,plain,
    ! [X66,X67,X68] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X66)),tc_Message_Omsg)
      | c_in(X68,X67,tc_nat)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X66),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_lessequals(X67,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
      | ~ c_in(X66,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_375]) ).

fof(c_0_746_747,plain,
    ! [X53,X54,X55,X56,X57,X58,X59,X60,X61,X62] :
      ( X55 = X54
      | ~ c_in(X53,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X60,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X60),c_Message_Omsg_OMPair(X56,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X59),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X58),X54))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X62,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X62),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X61),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X58),X55))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_376])])]) ).

fof(c_0_747_748,plain,
    ! [X53,X54,X55,X56,X57,X58,X59,X60,X61,X62] :
      ( X60 = X59
      | ~ c_in(X53,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X61,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X61),c_Message_Omsg_OMPair(X56,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X59),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X58),X54))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X62,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X62),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X60),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X58),X55))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_377])])]) ).

fof(c_0_748_749,plain,
    ! [X53,X54,X55,X56,X57,X58,X59,X60,X61,X62] :
      ( X57 = X56
      | ~ c_in(X53,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X60,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X60),c_Message_Omsg_OMPair(X56,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X59),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X58),X54))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X62,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X62),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X61),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X58),X55))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_378])])]) ).

fof(c_0_749_750,plain,
    ! [X53,X54,X55,X56,X57,X58,X59,X60,X61,X62] :
      ( X62 = X61
      | ~ c_in(X53,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X61,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X61),c_Message_Omsg_OMPair(X56,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X59),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X58),X54))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X62,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X62),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X60),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X58),X55))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(variable_rename,[status(thm)],[c_0_379]) ).

fof(c_0_750_751,plain,
    ! [X67,X68,X69] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),X69,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(X69),tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),X69,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_380]) ).

fof(c_0_751_752,plain,
    ! [X66,X67,X68] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X66),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X66)),tc_Message_Omsg)
      | ~ c_lessequals(X67,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
      | ~ c_in(X66,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_752_753,plain,
    ! [X67,X68,X69] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),X69,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X68,X67,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),X69,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_753_754,plain,
    ! [X66,X67,X68] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X66),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X68,X67,tc_nat)
      | ~ c_lessequals(X67,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
      | ~ c_in(X66,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_383]) ).

fof(c_0_754_755,plain,
    ! [X50,X51,X52,X53,X54,X55,X56] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X53),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X52),hAPP(c_Message_Omsg_OKey,X54)))),X50,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X56,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X56),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X53),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X55),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X54),X51))))),c_List_Oset(X50,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X55,X56,c_Message_Omsg_OCrypt(X54,c_Message_Omsg_ONonce(X52))),c_List_Oset(X50,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X50,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_384])])]) ).

fof(c_0_755_756,plain,
    ! [X41,X42,X43,X44,X45,X46,X47] :
      ( ~ c_in(hAPP(c_Message_Omsg_OKey,X45),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X41)),tc_Message_Omsg)
      | ~ c_in(X41,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X46,c_Event_Obad,tc_Message_Oagent)
      | c_in(X47,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X45,X43,X41),hAPP(c_Message_Omsg_OKey,X45)))),c_List_Oset(X41,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X47,c_Message_Omsg_OCrypt(X44,c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X46),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X45),X42))))),c_List_Oset(X41,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_385])])]) ).

fof(c_0_756_757,plain,
    ! [X57,X58,X59,X60,X61,X62,X63,X64,X65] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X65,X64,c_Message_Omsg_OCrypt(X62,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X60),c_Message_Omsg_ONonce(X60)))),X57,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X59,X65,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X65),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X61),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X64),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X62),X58))))),c_List_Oset(X57,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X63,X65,c_Message_Omsg_OCrypt(X62,c_Message_Omsg_ONonce(X60))),c_List_Oset(X57,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X62,c_Message_OsymKeys,tc_nat)
      | ~ c_in(X57,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_386]) ).

fof(c_0_757_758,plain,
    ! [X50,X51,X52,X53,X54,X55,X56] :
      ( 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(X53),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X52),hAPP(c_Message_Omsg_OKey,X54)))),X50,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X56,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X56),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X53),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X55),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X54),X51))))),c_List_Oset(X50,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X55,X56,c_Message_Omsg_OCrypt(X54,c_Message_Omsg_ONonce(X52))),c_List_Oset(X50,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X50) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_387])])]) ).

fof(c_0_758_759,plain,
    ! [X57,X58,X59,X60,X61,X62,X63,X64,X65] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X65,X64,c_Message_Omsg_OCrypt(X62,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X60),c_Message_Omsg_ONonce(X60)))),X57,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X59,X65,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X65),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X61),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X64),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X62),X58))))),c_List_Oset(X57,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X63,X65,c_Message_Omsg_OCrypt(X62,c_Message_Omsg_ONonce(X60))),c_List_Oset(X57,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X62,c_Message_OsymKeys,tc_nat)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X57) ),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_759_760,plain,
    ! [X36,X37,X38,X39,X40,X41,X42] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X42,X41,X37),X36,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X42,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X42),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X41),c_Message_Omsg_ONonce(X39)))),c_List_Oset(X36,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X38,X42,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X42),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X39),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X41),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X40),X37))))),c_List_Oset(X36,tc_Event_Oevent),tc_Event_Oevent)
      | X42 = c_Message_Oagent_OServer
      | ~ c_in(X36,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_389]) ).

fof(c_0_760_761,plain,
    ! [X32,X33,X34,X35,X36,X37,X38] :
      ( c_in(X33,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X32)),tc_Message_Omsg)
      | ~ c_in(X36,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X32,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X34,X38,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X38),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X35),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X37),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X36),X33))))),c_List_Oset(X32,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_390])])]) ).

fof(c_0_761_762,plain,
    ! [X36,X37,X38,X39,X40,X41,X42] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X42,X41,X37),X36,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X42,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X42),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X41),c_Message_Omsg_ONonce(X39)))),c_List_Oset(X36,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X38,X42,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X42),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X39),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X41),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X40),X37))))),c_List_Oset(X36,tc_Event_Oevent),tc_Event_Oevent)
      | X42 = c_Message_Oagent_OServer
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X36) ),
    inference(variable_rename,[status(thm)],[c_0_391]) ).

fof(c_0_762_763,plain,
    ! [X41,X42,X43,X44,X45,X46,X47] :
      ( ~ c_in(X45,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X41,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X47,c_Message_Omsg_OCrypt(X44,c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X46),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X45),X42))))),c_List_Oset(X41,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_392])])]) ).

fof(c_0_763_764,plain,
    ! [X33,X34,X35,X36,X37,X38,X39] :
      ( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X38,X34,X33),X38,X34),c_List_Oset(X33,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(X37,c_Message_Omsg_ONonce(X35)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X39,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X39),c_Message_Omsg_OMPair(X36,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X38),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X37),X34))))),c_List_Oset(X33,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(hAPP(c_Message_Omsg_OKey,X37),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg)
      | ~ c_in(X33,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_393])])]) ).

fof(c_0_764_765,plain,
    ! [X33,X34,X35,X36,X37,X38,X39] :
      ( c_in(c_Event_Oevent_OSays(X38,X39,c_Message_Omsg_OCrypt(X37,c_Message_Omsg_ONonce(X35))),c_List_Oset(X33,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(X37,c_Message_Omsg_ONonce(X35)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X39,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X39),c_Message_Omsg_OMPair(X36,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X38),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X37),X34))))),c_List_Oset(X33,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(hAPP(c_Message_Omsg_OKey,X37),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg)
      | ~ c_in(X33,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_394]) ).

fof(c_0_765_766,plain,
    ! [X32,X33,X34,X35,X36,X37] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X37,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X37),c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X36),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X35),X33))))),c_List_Oset(X32,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X32,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X37,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X37),c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X36),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X35),X33)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X32)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_395]) ).

fof(c_0_766_767,plain,
    ! [X33,X34,X35,X36,X37,X38,X39] :
      ( c_in(c_Event_Oevent_OSays(X38,X39,c_Message_Omsg_OCrypt(X37,c_Message_Omsg_ONonce(X35))),c_List_Oset(X33,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X33,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X38,c_Event_Obad,tc_Message_Oagent)
      | c_in(X39,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X36,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X37,X36,X33),hAPP(c_Message_Omsg_OKey,X37)))),c_List_Oset(X33,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X39),c_Message_Omsg_OMPair(X36,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X38),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X37),X34)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X37,c_Message_Omsg_ONonce(X35)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_396]) ).

fof(c_0_767_768,plain,
    ! [X32,X33,X34,X35,X36,X37,X38] :
      ( c_in(X33,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X32)),tc_Message_Omsg)
      | X33 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X37),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X36),c_Message_Omsg_OAgent(X38)))
      | ~ c_in(X32,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X34,X38,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X38),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X35),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X37),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X36),X33))))),c_List_Oset(X32,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_397])])]) ).

fof(c_0_768_769,plain,
    ! [X41,X42,X43,X44,X45,X46,X47] :
      ( X42 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X46),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X45),c_Message_Omsg_OAgent(X47)))
      | ~ c_in(X41,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X47,c_Message_Omsg_OCrypt(X44,c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X46),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X45),X42))))),c_List_Oset(X41,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(variable_rename,[status(thm)],[c_0_398]) ).

fof(c_0_769_770,plain,
    ! [X41,X42,X43,X44,X45,X46,X47] :
      ( X44 = hAPP(c_Public_OshrK,X47)
      | ~ c_in(X41,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X47,c_Message_Omsg_OCrypt(X44,c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X46),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X45),X42))))),c_List_Oset(X41,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(variable_rename,[status(thm)],[c_0_399]) ).

fof(c_0_770_771,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X23,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X25,X24,X23,X22),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_OIssues(X25,X24,X23,X22) ),
    inference(variable_rename,[status(thm)],[c_0_400]) ).

fof(c_0_771_772,plain,
    ! [X32,X33,X34,X35,X36,X37] :
      ( ~ c_in(X35,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X32,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X37,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X37),c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X36),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X35),X33)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X32)),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_401])])]) ).

fof(c_0_772_773,plain,
    ! [X68,X69,X70,X71] :
      ( c_in(X71,X70,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X69),X71)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X68),X70,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_402]) ).

fof(c_0_773_774,plain,
    ! [X68,X69,X70,X71] :
      ( X69 = X68
      | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X69),X71)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X68),X70,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_403])])]) ).

fof(c_0_774_775,plain,
    ! [X67,X68,X69] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),X69,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(X69),tc_Message_Omsg)
      | ~ c_in(X68,X67,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_404]) ).

fof(c_0_775_776,plain,
    ! [X67,X68,X69] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),X69,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X68,X67,tc_nat)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(X69),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_405]) ).

fof(c_0_776_777,plain,
    ! [X67,X68,X69] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),X69,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(X69),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_406]) ).

fof(c_0_777_778,plain,
    ! [X67,X68,X69] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X68),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X67,tc_nat,tc_Message_Omsg),X69,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X68,X67,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_407])])]) ).

fof(c_0_778_779,plain,
    ! [X33,X34,X35,X36,X37,X38,X39] :
      ( c_NS__Shared__Mirabelle_OIssues(X38,X39,c_Message_Omsg_OCrypt(X37,c_Message_Omsg_ONonce(X35)),X33)
      | ~ c_in(X33,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X38,c_Event_Obad,tc_Message_Oagent)
      | c_in(X39,c_Event_Obad,tc_Message_Oagent)
      | c_in(hAPP(c_Message_Omsg_OKey,X37),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X39),c_Message_Omsg_OMPair(X36,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X38),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X37),X34)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X37,c_Message_Omsg_ONonce(X35)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_408]) ).

fof(c_0_779_780,plain,
    ! [X33,X34,X35,X36,X37] :
      ( c_in(c_Event_Oevent_OSays(X37,X36,c_Message_Omsg_OCrypt(X35,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X34),c_Message_Omsg_ONonce(X34)))),c_List_Oset(X33,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X33,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X36,c_Event_Obad,tc_Message_Oagent)
      | c_in(X37,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X35,X33),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X35,X33),hAPP(c_Message_Omsg_OKey,X35)))),c_List_Oset(X33,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X36),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X35),c_Message_Omsg_OAgent(X37))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X35,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X34),c_Message_Omsg_ONonce(X34))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X33)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_409]) ).

fof(c_0_780_781,plain,
    ! [X65,X66,X67,X68,X69] :
      ( hBOOL(hAPP(X68,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X68,c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69)))
      | hBOOL(hAPP(X68,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X68,X65,X69)))
      | ~ hBOOL(hAPP(X68,X66)) ),
    inference(variable_rename,[status(thm)],[c_0_410]) ).

fof(c_0_781_782,plain,
    ! [X65,X66,X67,X68,X69] :
      ( hBOOL(hAPP(X68,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X68,c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69)))
      | hBOOL(hAPP(X68,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X68,X67,X69)))
      | ~ hBOOL(hAPP(X68,X66)) ),
    inference(variable_rename,[status(thm)],[c_0_411]) ).

fof(c_0_782_783,plain,
    ! [X56,X57,X58,X59,X60,X61] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X59,X61,c_Message_Omsg_OCrypt(X58,c_Message_Omsg_ONonce(X57))),X56,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X60,X59,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X59),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X58),c_Message_Omsg_OAgent(X61)))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X58,c_Message_OsymKeys,tc_nat)
      | c_in(c_Message_Omsg_ONonce(X57),c_Event_Oused(X56),tc_Message_Omsg)
      | ~ c_in(X56,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_412]) ).

fof(c_0_783_784,plain,
    ! [X32,X33,X34,X35,X36,X37] :
      ( X33 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X36),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X35),c_Message_Omsg_OAgent(X37)))
      | ~ c_in(X32,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X37,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X37),c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X36),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X35),X33)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X32)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_413]) ).

fof(c_0_784_785,plain,
    ! [X65,X66,X67,X68,X69] :
      ( hBOOL(hAPP(X68,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X68,c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69)))
      | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X68,X67,X69),c_List_Oset(X67,X69),X69)
      | ~ hBOOL(hAPP(X68,X66)) ),
    inference(variable_rename,[status(thm)],[c_0_414]) ).

fof(c_0_785_786,plain,
    ! [X65,X66,X67,X68,X69] :
      ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X68,c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69),c_List_Oset(c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69),X69)
      | hBOOL(hAPP(X68,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X68,X65,X69)))
      | ~ hBOOL(hAPP(X68,X66)) ),
    inference(variable_rename,[status(thm)],[c_0_415]) ).

fof(c_0_786_787,plain,
    ! [X65,X66,X67,X68,X69] :
      ( hBOOL(hAPP(X68,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X68,c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69)))
      | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X68,X65,X69),c_List_Oset(X65,X69),X69)
      | ~ hBOOL(hAPP(X68,X66)) ),
    inference(variable_rename,[status(thm)],[c_0_416]) ).

fof(c_0_787_788,plain,
    ! [X65,X66,X67,X68,X69] :
      ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X68,c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69),c_List_Oset(c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69),X69)
      | hBOOL(hAPP(X68,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X68,X67,X69)))
      | ~ hBOOL(hAPP(X68,X66)) ),
    inference(variable_rename,[status(thm)],[c_0_417]) ).

fof(c_0_788_789,plain,
    ! [X32,X33,X34,X35,X36,X37] :
      ( c_in(X35,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X32)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X37,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X37),c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(X36,c_Message_Omsg_OMPair(X35,X33))))),c_List_Oset(X32,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_418])])]) ).

fof(c_0_789_790,plain,
    ! [X68,X69,X70] :
      ( c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X68),X70)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X68),X69,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
      | ~ c_in(X70,X69,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_419]) ).

fof(c_0_790_791,plain,
    ! [X65,X66,X67,X68,X69] :
      ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X68,c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69),c_List_Oset(c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69),X69)
      | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X68,X67,X69),c_List_Oset(X67,X69),X69)
      | ~ hBOOL(hAPP(X68,X66)) ),
    inference(variable_rename,[status(thm)],[c_0_420]) ).

fof(c_0_791_792,plain,
    ! [X65,X66,X67,X68,X69] :
      ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X68,c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69),c_List_Oset(c_List_Oappend(X67,c_List_Olist_OCons(X66,X65,X69),X69),X69),X69)
      | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X68,X65,X69),c_List_Oset(X65,X69),X69)
      | ~ hBOOL(hAPP(X68,X66)) ),
    inference(variable_rename,[status(thm)],[c_0_421]) ).

fof(c_0_792_793,plain,
    ! [X56,X57,X58,X59,X60,X61] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X59,X61,c_Message_Omsg_OCrypt(X58,c_Message_Omsg_ONonce(X57))),X56,tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X60,X59,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X59),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X58),c_Message_Omsg_OAgent(X61)))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X58,c_Message_OsymKeys,tc_nat)
      | c_in(c_Message_Omsg_ONonce(X57),c_Event_Oused(X56),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X56) ),
    inference(variable_rename,[status(thm)],[c_0_422]) ).

fof(c_0_793_794,plain,
    ! [X63,X64,X65,X66] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X64)),c_Message_Oparts(X65),tc_Message_Omsg)
      | c_in(X64,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X66,X65,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
      | ~ c_in(X63,c_Message_Osynth(c_Message_Oanalz(X65)),tc_Message_Omsg)
      | ~ c_in(X64,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X63,X66,tc_Message_Omsg))),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_423])])]) ).

fof(c_0_794_795,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_in(X26,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X27,X32,c_Message_Omsg_OCrypt(X29,c_Message_Omsg_OMPair(X28,c_Message_Omsg_OMPair(X31,c_Message_Omsg_OMPair(X30,X26))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_424])])]) ).

fof(c_0_795_796,plain,
    ! [X55,X56,X57] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X57),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X55)),tc_Message_Omsg)
      | X57 = X56
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X57),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X56),c_Event_Oknows(c_Message_Oagent_OSpy,X55),tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X56,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X55,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_425]) ).

fof(c_0_796_797,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(c_Event_Oevent_OSays(X25,X24,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X25,X24,X23,X22)),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_NS__Shared__Mirabelle_OIssues(X25,X24,X23,X22) ),
    inference(variable_rename,[status(thm)],[c_0_426]) ).

fof(c_0_797_798,plain,
    ! [X22,X23,X24,X25,X26] :
      ( ~ c_in(X23,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X22)),tc_Message_Omsg)
      | c_in(X23,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X26,X25,X24),X22,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_427])])]) ).

fof(c_0_798_799,plain,
    ! [X55,X56,X57] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X57),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X56),c_Event_Oknows(c_Message_Oagent_OSpy,X55),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X57),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X55)),tc_Message_Omsg)
      | c_in(X56,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X55,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_428]) ).

fof(c_0_799_800,plain,
    ! [X11,X12] :
      ( c_in(X11,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X12,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(hAPP(c_Message_Omsg_OKey,X11),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X11),c_Event_Oknows(c_Message_Oagent_OSpy,X12),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_429])])]) ).

fof(c_0_800_801,plain,
    ! [X45,X46,X47,X48,X49] :
      ( c_lessequals(c_Set_Oimage(X45,X47,X49,X48),c_Set_Oimage(X45,X46,X49,X48),tc_fun(X48,tc_bool))
      | ~ c_lessequals(X47,X46,tc_fun(X49,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_430]) ).

fof(c_0_801_802,plain,
    ! [X45,X46,X47,X48,X49] :
      ( ~ c_lessequals(X45,X47,tc_fun(X48,tc_bool))
      | c_lessequals(c_Set_Oimage(X46,X45,X48,X49),c_Set_Oimage(X46,X47,X48,X49),tc_fun(X49,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_431])])]) ).

fof(c_0_802_803,plain,
    ! [X63,X64,X65] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X63,X64,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X65)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X65,X64,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X63,c_Message_Osynth(c_Message_Oanalz(X65)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_803_804,plain,
    ! [X23,X24,X25] :
      ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oanalz(c_Set_Oinsert(X23,X25,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X24)),c_Message_Oanalz(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_433]) ).

fof(c_0_804_805,plain,
    ! [X23,X24,X25] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oanalz(c_Set_Oinsert(X23,X25,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X24)),c_Message_Oanalz(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_434]) ).

fof(c_0_805_806,plain,
    ! [X46,X47,X48,X49] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X49,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X49),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X48),c_Message_Omsg_ONonce(X47)))),X46,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_ONonce(X47),c_Event_Oused(X46),tc_Message_Omsg)
      | ~ c_in(X46,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_435])])]) ).

fof(c_0_806_807,plain,
    ! [X23,X24] :
      ( ~ c_in(X24,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X24),c_Event_Oused(X23),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_807_808,plain,
    ! [X8,X9,X10] :
      ( c_in(X8,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X10)),c_Message_Oparts(X10),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X9,c_Message_Osynth(c_Message_Oanalz(X10)),tc_Message_Omsg)
      | ~ c_in(X8,c_Message_Oparts(c_Set_Oinsert(X9,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_437]) ).

fof(c_0_808_809,plain,
    ! [X45,X46,X47,X48,X49,X50] :
      ( c_in(hAPP(X46,X45),X47,X50)
      | ~ c_in(X45,X48,X49)
      | ~ c_lessequals(c_Set_Oimage(X46,X48,X49,X50),X47,tc_fun(X50,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_438]) ).

fof(c_0_809_810,plain,
    ! [X34,X35,X36,X37,X38] :
      ( c_NS__Shared__Mirabelle_OIssues(X37,X38,c_Message_Omsg_OCrypt(X36,c_Message_Omsg_ONonce(X35)),X34)
      | ~ c_in(X34,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(X37,c_Event_Obad,tc_Message_Oagent)
      | c_in(X38,c_Event_Obad,tc_Message_Oagent)
      | c_in(hAPP(c_Message_Omsg_OKey,X36),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X34)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X37,X38,c_Message_Omsg_OCrypt(X36,c_Message_Omsg_ONonce(X35))),c_List_Oset(X34,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_810_811,plain,
    ! [X58,X59,X60,X61] :
      ( c_in(X58,X61,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Public_OpublicKey(X60),X58),c_Set_Oimage(c_Public_OpublicKey(X59),X61,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_811_812,plain,
    ! [X70,X71,X72,X73] :
      ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X73,X71,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X72,X70,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X71),c_Message_Oanalz(X70),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X73),c_Message_Oanalz(X72),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_812_813,plain,
    ! [X46,X47,X48,X49] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X49,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X49),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X48),c_Message_Omsg_ONonce(X47)))),X46,tc_Event_Oevent))
      | c_in(c_Message_Omsg_ONonce(X47),c_Event_Oused(X46),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X46) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_442])])]) ).

fof(c_0_813_814,plain,
    ! [X12,X13] :
      ( c_in(X12,X13,tc_nat)
      | ~ c_in(hAPP(c_Message_OinvKey,X12),c_Set_Oimage(c_Message_OinvKey,X13,tc_nat,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_814_815,plain,
    ! [X12,X13] :
      ( c_in(X12,X13,tc_nat)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X12),c_Set_Oimage(c_Message_Omsg_OKey,X13,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_444]) ).

fof(c_0_815_816,plain,
    ! [X58,X59] :
      ( c_in(X58,X59,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Public_OshrK,X58),c_Set_Oimage(c_Public_OshrK,X59,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_445]) ).

fof(c_0_816_817,plain,
    ! [X58,X59,X60,X61] :
      ( X60 = X59
      | ~ c_in(hAPP(c_Public_OpublicKey(X60),X58),c_Set_Oimage(c_Public_OpublicKey(X59),X61,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_446])])]) ).

fof(c_0_817_818,plain,
    ! [X45,X46,X47,X48,X49] :
      ( c_Set_Oinsert(hAPP(X46,X45),c_Set_Oimage(X46,X47,X49,X48),X48) = c_Set_Oimage(X46,X47,X49,X48)
      | ~ c_in(X45,X47,X49) ),
    inference(variable_rename,[status(thm)],[c_0_447]) ).

fof(c_0_818_819,plain,
    ! [X12,X13,X14,X15] :
      ( ~ c_in(X13,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X12)),tc_Message_Omsg)
      | c_in(X13,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X15,X14),X12,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_448])])]) ).

fof(c_0_819_820,plain,
    ! [X12,X13,X14,X15] :
      ( ~ c_in(X13,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X12)),tc_Message_Omsg)
      | c_in(X13,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X15,X14),X12,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_449])])]) ).

fof(c_0_820_821,plain,
    ! [X63,X64,X65,X66] :
      ( c_in(X63,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X66,X65,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X64,c_Message_Oparts(X65),tc_Message_Omsg)
      | ~ c_in(X63,c_Message_Oparts(c_Set_Oinsert(X64,X66,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_821_822,plain,
    ! [X78,X79,X80,X81,X82] :
      ( c_Set_Oinsert(X81,c_Set_Oinsert(X80,c_Orderings_Obot__class_Obot(tc_fun(X82,tc_bool)),X82),X82) != c_Set_Oinsert(X79,c_Set_Oinsert(X78,c_Orderings_Obot__class_Obot(tc_fun(X82,tc_bool)),X82),X82)
      | X81 = X78
      | X81 = X79 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_451])])]) ).

fof(c_0_822_823,plain,
    ! [X78,X79,X80,X81,X82] :
      ( c_Set_Oinsert(X81,c_Set_Oinsert(X80,c_Orderings_Obot__class_Obot(tc_fun(X82,tc_bool)),X82),X82) != c_Set_Oinsert(X79,c_Set_Oinsert(X78,c_Orderings_Obot__class_Obot(tc_fun(X82,tc_bool)),X82),X82)
      | X80 = X79
      | X81 = X79 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_452])])]) ).

fof(c_0_823_824,plain,
    ! [X78,X79,X80,X81,X82] :
      ( c_Set_Oinsert(X81,c_Set_Oinsert(X80,c_Orderings_Obot__class_Obot(tc_fun(X82,tc_bool)),X82),X82) != c_Set_Oinsert(X79,c_Set_Oinsert(X78,c_Orderings_Obot__class_Obot(tc_fun(X82,tc_bool)),X82),X82)
      | X81 = X78
      | X80 = X78 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_453])])]) ).

fof(c_0_824_825,plain,
    ! [X78,X79,X80,X81,X82] :
      ( c_Set_Oinsert(X81,c_Set_Oinsert(X80,c_Orderings_Obot__class_Obot(tc_fun(X82,tc_bool)),X82),X82) != c_Set_Oinsert(X79,c_Set_Oinsert(X78,c_Orderings_Obot__class_Obot(tc_fun(X82,tc_bool)),X82),X82)
      | X80 = X79
      | X80 = X78 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_454])])]) ).

fof(c_0_825_826,plain,
    ! [X64,X65,X66,X67] :
      ( c_in(X66,c_List_Oset(c_List_Oappend(X65,c_List_Olist_OCons(X66,X64,X67),X67),X67),X67)
      | c_in(X66,c_List_Oset(X65,X67),X67) ),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_826_827,plain,
    ! [X64,X65,X66,X67] :
      ( c_in(X66,c_List_Oset(c_List_Oappend(X65,c_List_Olist_OCons(X66,X64,X67),X67),X67),X67)
      | c_in(X66,c_List_Oset(X64,X67),X67) ),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_827_828,plain,
    ! [X12,X13,X14] :
      ( c_in(X13,c_Event_OinitState(X14),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(X14,X13),c_List_Oset(X12,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OGets(X14,X13),c_List_Oset(X12,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(X14,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X14,X13,X12),X13),c_List_Oset(X12,tc_Event_Oevent),tc_Event_Oevent)
      | X14 = c_Message_Oagent_OSpy
      | ~ c_in(X13,c_Event_Oknows(X14,X12),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_828_829,plain,
    ! [X69,X70,X71] :
      ( c_in(X69,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X71)),c_Message_Oparts(X71),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X70,c_Message_Osynth(c_Message_Oanalz(X71)),tc_Message_Omsg)
      | ~ c_in(X69,c_Message_Oparts(c_Set_Oinsert(X70,X71,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_829_830,plain,
    ! [X7,X8] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X7,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(X8)),c_Message_Oparts(X8),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X7,c_Message_Osynth(c_Message_Oanalz(X8)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_830_831,plain,
    ! [X63,X64,X65,X66] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X64),c_Message_Oanalz(X66),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X64),c_Message_Oanalz(c_Set_Oinsert(X63,X66,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_lessequals(X65,X66,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X63,c_Message_Osynth(c_Message_Oanalz(X65)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_460]) ).

fof(c_0_831_832,plain,
    ! [X47,X48,X49] :
      ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X49,X48),X47,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(X48,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X47))),tc_Message_Omsg)
      | ~ c_in(X47,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_461])])]) ).

fof(c_0_832_833,plain,
    ! [X62,X63,X64] :
      ( c_in(hAPP(c_Public_OpublicKey(X63),X62),c_Set_Oimage(c_Public_OpublicKey(X63),X64,tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X62,X64,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_462]) ).

fof(c_0_833_834,plain,
    ! [X63,X64,X65] :
      ( c_in(X63,c_Message_Oparts(X64),tc_Message_Omsg)
      | c_in(X63,c_Message_Oparts(X65),tc_Message_Omsg)
      | ~ c_in(X63,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X65,X64,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_463])])]) ).

fof(c_0_834_835,plain,
    ! [X45,X46,X47,X48,X49] :
      ( c_in(hAPP(X46,X45),c_Set_Oimage(X46,X47,X49,X48),X48)
      | ~ c_in(X45,X47,X49) ),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_835_836,plain,
    ! [X45,X46,X47,X48,X49] :
      ( c_in(hAPP(X46,X45),c_Set_Oimage(X46,X47,X48,X49),X49)
      | ~ c_in(X45,X47,X48) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_465])])]) ).

fof(c_0_836_837,plain,
    ! [X45,X46,X47,X48,X49] :
      ( ~ c_in(X45,X47,X48)
      | c_in(hAPP(X46,X45),c_Set_Oimage(X46,X47,X48,X49),X49) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_466])])]) ).

fof(c_0_837_838,plain,
    ! [X44,X45,X46,X47,X48] :
      ( ~ c_in(X44,X46,X47)
      | c_in(hAPP(X45,X44),c_Set_Oimage(X45,X46,X47,X48),X48) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_467])])]) ).

fof(c_0_838_839,plain,
    ! [X23,X24,X25] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oanalz(c_Set_Oinsert(X23,X25,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X24)),c_Message_Oanalz(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_468]) ).

fof(c_0_839_840,plain,
    ! [X63,X64,X65,X66] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X64),c_Message_Oanalz(c_Set_Oinsert(X63,X66,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X64),c_Message_Oanalz(X66),tc_Message_Omsg)
      | ~ c_lessequals(X65,X66,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X63,c_Message_Osynth(c_Message_Oanalz(X65)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_840_841,plain,
    ! [X12,X13] :
      ( c_in(hAPP(c_Message_OinvKey,X12),c_Set_Oimage(c_Message_OinvKey,X13,tc_nat,tc_nat),tc_nat)
      | ~ c_in(X12,X13,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_841_842,plain,
    ! [X12,X13] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X12),c_Set_Oimage(c_Message_Omsg_OKey,X13,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X12,X13,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_842_843,plain,
    ! [X58,X59] :
      ( c_in(hAPP(c_Public_OshrK,X58),c_Set_Oimage(c_Public_OshrK,X59,tc_Message_Oagent,tc_nat),tc_nat)
      | ~ c_in(X58,X59,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_472]) ).

fof(c_0_843_844,plain,
    ! [X75,X76,X77,X78,X79] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X78,X77,tc_fun(X79,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X76,X75,tc_fun(X79,tc_bool)),tc_fun(X79,tc_bool))
      | ~ c_lessequals(X77,X75,tc_fun(X79,tc_bool))
      | ~ c_lessequals(X78,X76,tc_fun(X79,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_473]) ).

fof(c_0_844_845,plain,
    ! [X11,X12] :
      ( c_in(X12,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X12,X11),X12),c_List_Oset(X11,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X12,X11),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X12,X11),X12),c_List_Oset(X11,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X12,c_Event_Oknows(c_Message_Oagent_OSpy,X11),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_474]) ).

fof(c_0_845_846,plain,
    ! [X12,X13,X14] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X12,c_List_Olist_OCons(c_Event_Oevent_ONotes(X14,X13),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X13,c_Event_Oknows(c_Message_Oagent_OSpy,X12),tc_Message_Omsg)
      | ~ c_in(X14,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_475]) ).

fof(c_0_846_847,plain,
    ! [X7,X8] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X7,X8,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X8)),c_Message_Oparts(X8),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X7,c_Message_Osynth(c_Message_Oanalz(X8)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_476]) ).

fof(c_0_847_848,plain,
    ! [X12,X13,X14] :
      ( X13 = c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)),X14)
      | X13 = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool))
      | ~ c_lessequals(X13,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)),X14),tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_477]) ).

fof(c_0_848_849,plain,
    ! [X22,X23,X24,X25] :
      ( hBOOL(hAPP(X23,X22))
      | hBOOL(hAPP(X24,X22))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,tc_fun(X25,tc_bool)),X22)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_478])])]) ).

fof(c_0_849_850,plain,
    ! [X47,X48,X49] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X49,X48),X47,tc_Event_Oevent))
      | ~ c_in(X48,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X47))),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X47) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_479])])]) ).

fof(c_0_850_851,plain,
    ! [X7,X8,X9] :
      ( c_in(X7,c_Message_Osynth(X9),tc_Message_Omsg)
      | ~ c_in(X8,c_Message_Osynth(X9),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(c_Set_Oinsert(X8,X9,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_480]) ).

fof(c_0_851_852,plain,
    ! [X7,X8,X9] :
      ( c_in(X7,c_Message_Oanalz(X9),tc_Message_Omsg)
      | ~ c_in(X8,c_Message_Oanalz(X9),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oanalz(c_Set_Oinsert(X8,X9,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_481]) ).

fof(c_0_852_853,plain,
    ! [X11,X12] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X11),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X12,c_Event_Oused(X11),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_482]) ).

fof(c_0_853_854,plain,
    ! [X23,X24,X25] :
      ( c_in(X23,c_Message_Osynth(c_Message_Oanalz(X25)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(c_Message_Oanalz(X25)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X24)),c_Message_Oanalz(X25),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X24),c_Message_Oanalz(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_483]) ).

fof(c_0_854_855,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_List_Oappend(X62,c_List_Olist_OCons(X63,c_List_Olist_ONil(X64),X64),X64) != c_List_Oappend(X60,c_List_Olist_OCons(X61,c_List_Olist_ONil(X64),X64),X64)
      | X63 = X61 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_484])])]) ).

fof(c_0_855_856,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_List_Oappend(X62,c_List_Olist_OCons(X63,c_List_Olist_ONil(X64),X64),X64) != c_List_Oappend(X60,c_List_Olist_OCons(X61,c_List_Olist_ONil(X64),X64),X64)
      | X62 = X60 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_485])])]) ).

fof(c_0_856_857,plain,
    ! [X48,X49,X50,X51] :
      ( c_in(X48,c_List_Oset(X49,X51),X51)
      | X48 = X50
      | ~ c_in(X48,c_List_Oset(c_List_Olist_OCons(X50,X49,X51),X51),X51) ),
    inference(variable_rename,[status(thm)],[c_0_486]) ).

fof(c_0_857_858,plain,
    ! [X63,X64,X65] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X63,X64,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X65),c_Message_Oparts(X64),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X63,X65,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_487]) ).

fof(c_0_858_859,plain,
    ! [X23,X24,X25] :
      ( c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(c_Message_Oanalz(X25)),tc_Message_Omsg)
      | ~ c_in(X23,c_Message_Osynth(c_Message_Oanalz(X25)),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X24)),c_Message_Oanalz(X25),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X24),c_Message_Oanalz(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_488]) ).

fof(c_0_859_860,plain,
    ! [X23,X24] :
      ( ~ c_in(X24,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X23))),tc_nat)
      | ~ c_in(X23,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(X24,c_Message_OsymKeys,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X24),c_Event_Oused(X23),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_489]) ).

fof(c_0_860_861,plain,
    ! [X12,X13,X14] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X12,c_List_Olist_OCons(c_Event_Oevent_ONotes(X14,X13),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X12)
      | c_in(X14,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_490]) ).

fof(c_0_861_862,plain,
    ! [X74,X75,X76,X77] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X76,X75,tc_fun(X77,tc_bool)),X74,tc_fun(X77,tc_bool))
      | ~ c_lessequals(X75,X74,tc_fun(X77,tc_bool))
      | ~ c_lessequals(X76,X74,tc_fun(X77,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_491]) ).

fof(c_0_862_863,plain,
    ! [X74,X75,X76,X77] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X76,X75,tc_fun(X77,tc_bool)),X74,tc_fun(X77,tc_bool))
      | ~ c_lessequals(X75,X74,tc_fun(X77,tc_bool))
      | ~ c_lessequals(X76,X74,tc_fun(X77,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_492]) ).

fof(c_0_863_864,plain,
    ! [X12,X13,X14] :
      ( c_in(X12,c_Message_Oanalz(X13),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X14)),c_Message_Oanalz(X13),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X14),X12),c_Message_Oanalz(X13),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_493])])]) ).

fof(c_0_864_865,plain,
    ! [X12,X13,X14] :
      ( c_in(X13,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X12)),tc_Message_Omsg)
      | ~ c_in(X14,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X14),X13),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X12)),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_494])])]) ).

fof(c_0_865_866,plain,
    ! [X45,X46,X47,X48] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X48,tc_bool)) != c_Set_Oimage(X45,X46,X47,X48)
      | X46 = c_Orderings_Obot__class_Obot(tc_fun(X47,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_495])])]) ).

fof(c_0_866_867,plain,
    ! [X45,X46,X47,X48] :
      ( c_Set_Oimage(X45,X46,X47,X48) != c_Orderings_Obot__class_Obot(tc_fun(X48,tc_bool))
      | X46 = c_Orderings_Obot__class_Obot(tc_fun(X47,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_496])])]) ).

fof(c_0_867_868,plain,
    ! [X63,X64,X65] :
      ( c_in(X63,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X65,X64,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X63,c_Message_Oanalz(X64),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_497])])]) ).

fof(c_0_868_869,plain,
    ! [X74,X75,X76,X77] :
      ( c_lessequals(X76,X74,tc_fun(X77,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X76,X75,tc_fun(X77,tc_bool)),X74,tc_fun(X77,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_498]) ).

fof(c_0_869_870,plain,
    ! [X74,X75,X76,X77] :
      ( c_lessequals(X75,X74,tc_fun(X77,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X76,X75,tc_fun(X77,tc_bool)),X74,tc_fun(X77,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_499]) ).

fof(c_0_870_871,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X22,X23,X25)
      | c_in(X22,X24,X25)
      | ~ c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,tc_fun(X25,tc_bool)),X25) ),
    inference(variable_rename,[status(thm)],[c_0_500]) ).

fof(c_0_871_872,plain,
    ! [X22,X23,X24] :
      ( c_lessequals(X22,X23,tc_fun(X24,tc_bool))
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X23,tc_fun(X24,tc_bool)),c_HOL_Ouminus__class_Ouminus(X22,tc_fun(X24,tc_bool)),tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_501]) ).

fof(c_0_872_873,plain,
    ! [X22,X23,X24,X25] :
      ( c_lessequals(X24,X23,tc_fun(X25,tc_bool))
      | c_in(X22,X24,X25)
      | ~ c_lessequals(X24,c_Set_Oinsert(X22,X23,X25),tc_fun(X25,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_502]) ).

fof(c_0_873_874,plain,
    ! [X22,X23,X24,X25] :
      ( c_lessequals(X24,X23,tc_fun(X25,tc_bool))
      | ~ c_lessequals(X24,c_Set_Oinsert(X22,X23,X25),tc_fun(X25,tc_bool))
      | c_in(X22,X24,X25) ),
    inference(variable_rename,[status(thm)],[c_0_503]) ).

fof(c_0_874_875,plain,
    ! [X40,X41,X42] :
      ( X40 = X41
      | ~ c_in(X40,c_Set_Oinsert(X41,c_Orderings_Obot__class_Obot(tc_fun(X42,tc_bool)),X42),X42) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_504])])]) ).

fof(c_0_875_876,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(hAPP(X14,X13))
      | X12 = X13
      | ~ hBOOL(hAPP(c_Set_Oinsert(X12,X14,X15),X13)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_505])])]) ).

fof(c_0_876_877,plain,
    ! [X12,X13] :
      ( c_in(X13,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X13)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X12)),tc_Message_Omsg)
      | ~ c_in(X12,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_506]) ).

fof(c_0_877_878,plain,
    ! [X12,X13] :
      ( c_in(X13,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X13)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X12)),tc_Message_Omsg)
      | ~ c_in(X12,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_507]) ).

fof(c_0_878_879,plain,
    ! [X75,X76,X77,X78] :
      ( c_lessequals(c_Set_Oinsert(X75,X77,X78),c_Set_Oinsert(X75,X76,X78),tc_fun(X78,tc_bool))
      | ~ c_lessequals(X77,X76,tc_fun(X78,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_508]) ).

fof(c_0_879_880,plain,
    ! [X23,X24,X25] :
      ( c_in(X23,c_Message_Oanalz(X25),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X24),c_Message_Oanalz(X25),tc_Message_Omsg)
      | ~ c_in(X24,c_Message_OsymKeys,tc_nat)
      | ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oanalz(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_509]) ).

fof(c_0_880_881,plain,
    ! [X23,X24,X25] :
      ( c_in(X23,c_Message_Oanalz(X25),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X24)),c_Message_Oanalz(X25),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oanalz(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_510]) ).

fof(c_0_881_882,plain,
    ! [X22,X23,X24,X25] :
      ( c_lessequals(c_Set_Oinsert(X22,X24,X25),X23,tc_fun(X25,tc_bool))
      | ~ c_lessequals(X24,X23,tc_fun(X25,tc_bool))
      | ~ c_in(X22,X23,X25) ),
    inference(variable_rename,[status(thm)],[c_0_511]) ).

fof(c_0_882_883,plain,
    ! [X7,X8,X9] :
      ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X8,X7)),c_Message_Oanalz(X9),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X8,X7)),c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg)
      | c_in(X8,c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_512]) ).

fof(c_0_883_884,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X23,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X22)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X25,X24,X23),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_513])])]) ).

fof(c_0_884_885,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X23,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X22)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X25,X24,X23),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_514])])]) ).

fof(c_0_885_886,plain,
    ! [X7,X8,X9] :
      ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X8,X7)),c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X8,X7)),c_Message_Oanalz(X9),tc_Message_Omsg)
      | c_in(X8,c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_515]) ).

fof(c_0_886_887,plain,
    ! [X22,X23,X24,X25] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,tc_fun(X25,tc_bool)),X22))
      | ~ hBOOL(hAPP(X23,X22)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_516])])]) ).

fof(c_0_887_888,plain,
    ! [X22,X23,X24,X25] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,tc_fun(X25,tc_bool)),X22))
      | ~ hBOOL(hAPP(X24,X22)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_517])])]) ).

fof(c_0_888_889,plain,
    ! [X35,X36,X37] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X36),X37))),c_Event_Oknows(c_Message_Oagent_OSpy,X35),tc_Message_Omsg)
      | ~ c_in(X37,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_518]) ).

fof(c_0_889_890,plain,
    ! [X23,X24,X25] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oanalz(X25),tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X24)),c_Message_Oanalz(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_519]) ).

fof(c_0_890_891,plain,
    ! [X22,X23,X24,X25] :
      ( c_lessequals(X24,X23,tc_fun(X25,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X22,X24,X25),X23,tc_fun(X25,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_520]) ).

fof(c_0_891_892,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X23,c_Event_Oknows(X25,X22),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X25,X24,X23),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(variable_rename,[status(thm)],[c_0_521]) ).

fof(c_0_892_893,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X23,c_Event_Oknows(c_Message_Oagent_OSpy,X22),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X25,X24,X23),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_522])])]) ).

fof(c_0_893_894,plain,
    ! [X22,X23,X24,X25] :
      ( c_lessequals(X24,c_Set_Oinsert(X22,X23,X25),tc_fun(X25,tc_bool))
      | ~ c_lessequals(X24,X23,tc_fun(X25,tc_bool))
      | c_in(X22,X24,X25) ),
    inference(variable_rename,[status(thm)],[c_0_523]) ).

fof(c_0_894_895,plain,
    ! [X22,X23,X24,X25] :
      ( c_lessequals(X24,c_Set_Oinsert(X22,X23,X25),tc_fun(X25,tc_bool))
      | ~ c_lessequals(X24,X23,tc_fun(X25,tc_bool))
      | c_in(X22,X24,X25) ),
    inference(variable_rename,[status(thm)],[c_0_524]) ).

fof(c_0_895_896,plain,
    ! [X63,X64,X65] :
      ( c_in(X63,c_Message_Oanalz(c_Set_Oinsert(X64,X65,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X63,c_Message_Oanalz(X65),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_525]) ).

fof(c_0_896_897,plain,
    ! [X63,X64,X65] :
      ( c_in(X63,c_Message_Oparts(c_Set_Oinsert(X64,X65,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X63,c_Message_Oparts(X65),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_526]) ).

fof(c_0_897_898,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X23,c_Event_Oused(X22),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X25,X24,X23),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_527])])]) ).

fof(c_0_898_899,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X22,X23,X25)
      | ~ c_lessequals(c_Set_Oinsert(X22,X24,X25),X23,tc_fun(X25,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_528]) ).

fof(c_0_899_900,plain,
    ! [X12,X13] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X13)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X12)),tc_Message_Omsg)
      | ~ c_in(X13,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X12,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_529]) ).

fof(c_0_900_901,plain,
    ! [X12,X13] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X13)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X12)),tc_Message_Omsg)
      | ~ c_in(X13,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X12,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(variable_rename,[status(thm)],[c_0_530]) ).

fof(c_0_901_902,plain,
    ! [X22,X23,X24] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X22,tc_fun(X24,tc_bool)),c_HOL_Ouminus__class_Ouminus(X23,tc_fun(X24,tc_bool)),tc_fun(X24,tc_bool))
      | ~ c_lessequals(X23,X22,tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_531]) ).

fof(c_0_902_903,plain,
    ! [X22,X23,X24] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X23,tc_fun(X24,tc_bool)),c_HOL_Ouminus__class_Ouminus(X22,tc_fun(X24,tc_bool)),tc_fun(X24,tc_bool))
      | ~ c_lessequals(X22,X23,tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_532]) ).

fof(c_0_903_904,plain,
    ! [X40,X41,X42,X43] :
      ( ~ class_Lattices_Oupper__semilattice(X43)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X42,X41,X43),X40,X43)
      | ~ c_lessequals(X41,X40,X43)
      | ~ c_lessequals(X42,X40,X43) ),
    inference(variable_rename,[status(thm)],[c_0_533]) ).

fof(c_0_904_905,plain,
    ! [X73,X74,X75,X76] :
      ( ~ class_Lattices_Oupper__semilattice(X76)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X74,X73,X76),X75,X76)
      | ~ c_lessequals(X73,X75,X76)
      | ~ c_lessequals(X74,X75,X76) ),
    inference(variable_rename,[status(thm)],[c_0_534]) ).

fof(c_0_905_906,plain,
    ! [X73,X74,X75,X76] :
      ( ~ class_Lattices_Oupper__semilattice(X76)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X75,X74,X76),X73,X76)
      | ~ c_lessequals(X74,X73,X76)
      | ~ c_lessequals(X75,X73,X76) ),
    inference(variable_rename,[status(thm)],[c_0_535]) ).

fof(c_0_906_907,plain,
    ! [X7,X8] :
      ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X7,X8,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X8))
      | ~ c_in(X7,c_Message_Osynth(c_Message_Oanalz(X8)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_536]) ).

fof(c_0_907_908,plain,
    ! [X40,X41,X42] :
      ( c_Set_Oinsert(X41,c_Orderings_Obot__class_Obot(tc_fun(X42,tc_bool)),X42) != c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X42,tc_bool)),X42)
      | X41 = X40 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_537])])]) ).

fof(c_0_908_909,plain,
    ! [X73,X74,X75,X76] :
      ( ~ class_Lattices_Oupper__semilattice(X76)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X75,X74,X76),X73,X76) = c_Lattices_Oupper__semilattice__class_Osup(X75,c_Lattices_Oupper__semilattice__class_Osup(X74,X73,X76),X76) ),
    inference(variable_rename,[status(thm)],[c_0_538]) ).

fof(c_0_909_910,plain,
    ! [X73,X74,X75,X76] :
      ( ~ class_Lattices_Oupper__semilattice(X76)
      | c_Lattices_Oupper__semilattice__class_Osup(X75,c_Lattices_Oupper__semilattice__class_Osup(X74,X73,X76),X76) = c_Lattices_Oupper__semilattice__class_Osup(X74,c_Lattices_Oupper__semilattice__class_Osup(X75,X73,X76),X76) ),
    inference(variable_rename,[status(thm)],[c_0_539]) ).

fof(c_0_910_911,plain,
    ! [X73,X74,X75,X76] :
      ( ~ class_Lattices_Olattice(X76)
      | c_Lattices_Oupper__semilattice__class_Osup(X75,c_Lattices_Oupper__semilattice__class_Osup(X74,X73,X76),X76) = c_Lattices_Oupper__semilattice__class_Osup(X74,c_Lattices_Oupper__semilattice__class_Osup(X75,X73,X76),X76) ),
    inference(variable_rename,[status(thm)],[c_0_540]) ).

fof(c_0_911_912,plain,
    ! [X73,X74,X75,X76] :
      ( ~ class_Lattices_Olattice(X76)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X75,X74,X76),X73,X76) = c_Lattices_Oupper__semilattice__class_Osup(X75,c_Lattices_Oupper__semilattice__class_Osup(X74,X73,X76),X76) ),
    inference(variable_rename,[status(thm)],[c_0_541]) ).

fof(c_0_912_913,plain,
    ! [X70,X71,X72,X73] :
      ( c_Message_Oanalz(X71) != c_Message_Oanalz(X70)
      | c_Message_Oanalz(X73) != c_Message_Oanalz(X72)
      | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X73,X71,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X72,X70,tc_fun(tc_Message_Omsg,tc_bool))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_542])])]) ).

fof(c_0_913_914,plain,
    ! [X12,X13,X14] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X14,X13),X12,tc_Event_Oevent)) = c_Set_Oinsert(X13,c_Event_Oknows(c_Message_Oagent_OSpy,X12),tc_Message_Omsg)
      | ~ c_in(X14,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_543]) ).

fof(c_0_914_915,plain,
    ! [X63,X64,X65] :
      ( c_Message_Oanalz(c_Set_Oinsert(X63,X65,tc_Message_Omsg)) = c_Message_Oanalz(X65)
      | ~ c_lessequals(X64,X65,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X63,c_Message_Oanalz(X64),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_544]) ).

fof(c_0_915_916,plain,
    ! [X7,X8,X9] :
      ( c_in(c_Message_Omsg_OMPair(X8,X7),c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg)
      | ~ c_in(X8,c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_545]) ).

fof(c_0_916_917,plain,
    ! [X74,X75,X76,X77] :
      ( c_lessequals(X76,X74,tc_fun(X77,tc_bool))
      | ~ c_lessequals(X75,X74,tc_fun(X77,tc_bool))
      | ~ c_lessequals(X76,X75,tc_fun(X77,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_546]) ).

fof(c_0_917_918,plain,
    ! [X12,X13,X14] :
      ( c_in(X13,c_Event_Oknows(c_Message_Oagent_OSpy,X12),tc_Message_Omsg)
      | ~ c_in(X14,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_ONotes(X14,X13),c_List_Oset(X12,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_547])])]) ).

fof(c_0_918_919,plain,
    ! [X73,X74,X75,X76] :
      ( ~ class_Lattices_Oupper__semilattice(X76)
      | c_lessequals(X74,X73,X76)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X75,X74,X76),X73,X76) ),
    inference(variable_rename,[status(thm)],[c_0_548]) ).

fof(c_0_919_920,plain,
    ! [X73,X74,X75,X76] :
      ( ~ class_Lattices_Oupper__semilattice(X76)
      | c_lessequals(X75,X73,X76)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X75,X74,X76),X73,X76) ),
    inference(variable_rename,[status(thm)],[c_0_549]) ).

fof(c_0_920_921,plain,
    ! [X40,X41,X42,X43] :
      ( ~ class_Lattices_Oupper__semilattice(X43)
      | c_lessequals(X41,X40,X43)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X42,X41,X43),X40,X43) ),
    inference(variable_rename,[status(thm)],[c_0_550]) ).

fof(c_0_921_922,plain,
    ! [X40,X41,X42,X43] :
      ( ~ class_Lattices_Oupper__semilattice(X43)
      | c_lessequals(X42,X40,X43)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X42,X41,X43),X40,X43) ),
    inference(variable_rename,[status(thm)],[c_0_551]) ).

fof(c_0_922_923,plain,
    ! [X40,X41,X42,X43] :
      ( c_in(X41,X42,X43)
      | X41 = X40
      | ~ c_in(X41,c_Set_Oinsert(X40,X42,X43),X43) ),
    inference(variable_rename,[status(thm)],[c_0_552]) ).

fof(c_0_923_924,plain,
    ! [X23,X24] :
      ( c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X23),X24,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X23),c_Message_Oanalz(X24),tc_Message_Omsg)
      | c_in(X23,c_Message_OkeysFor(c_Message_Oanalz(X24)),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_553]) ).

fof(c_0_924_925,plain,
    ! [X35,X36,X37,X38] :
      ( c_lessequals(X37,c_Set_Oinsert(X35,X36,X38),tc_fun(X38,tc_bool))
      | ~ c_lessequals(X37,X36,tc_fun(X38,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_554]) ).

fof(c_0_925_926,plain,
    ! [X23,X24,X25] :
      ( c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(X25),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X24),X25,tc_Message_Omsg)
      | ~ c_in(X23,c_Message_Osynth(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_555]) ).

fof(c_0_926_927,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,tc_fun(X25,tc_bool)),X25)
      | ~ c_in(X22,X24,X25) ),
    inference(variable_rename,[status(thm)],[c_0_556]) ).

fof(c_0_927_928,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,tc_fun(X25,tc_bool)),X25)
      | ~ c_in(X22,X23,X25) ),
    inference(variable_rename,[status(thm)],[c_0_557]) ).

fof(c_0_928_929,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(hAPP(c_Set_Oinsert(X12,X14,X15),X13))
      | ~ hBOOL(hAPP(X14,X13)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_558])])]) ).

fof(c_0_929_930,plain,
    ! [X23,X24,X25] :
      ( c_in(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(X25),tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X24),X25,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_559]) ).

fof(c_0_930_931,plain,
    ! [X23,X24,X25] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X24),X25,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_560]) ).

fof(c_0_931_932,plain,
    ! [X23,X24,X25] :
      ( c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(X25),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X24),X25,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_561]) ).

fof(c_0_932_933,plain,
    ! [X12,X13,X14] :
      ( ~ c_in(X12,X13,X14)
      | ~ c_in(X12,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X14,tc_bool)),X14) ),
    inference(variable_rename,[status(thm)],[c_0_562]) ).

fof(c_0_933_934,plain,
    ! [X22,X23,X24,X25] :
      ( c_Set_Oinsert(X22,X24,X25) != c_Set_Oinsert(X22,X23,X25)
      | c_in(X22,X23,X25)
      | c_in(X22,X24,X25)
      | X24 = X23 ),
    inference(variable_rename,[status(thm)],[c_0_563]) ).

fof(c_0_934_935,plain,
    ! [X63,X64,X65] :
      ( c_in(X63,c_Message_Oparts(X64),tc_Message_Omsg)
      | ~ c_lessequals(X65,c_Message_Oparts(X64),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X63,c_Message_Oparts(X65),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_564])])]) ).

fof(c_0_935_936,plain,
    ! [X63,X64,X65] :
      ( c_in(X63,c_Message_Oanalz(X64),tc_Message_Omsg)
      | ~ c_lessequals(X65,c_Message_Oanalz(X64),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X63,c_Message_Oanalz(X65),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_565])])]) ).

fof(c_0_936_937,plain,
    ! [X63,X64,X65] :
      ( c_in(X63,c_Message_Osynth(X64),tc_Message_Omsg)
      | ~ c_lessequals(X65,c_Message_Osynth(X64),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X63,c_Message_Osynth(X65),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_566])])]) ).

fof(c_0_937_938,plain,
    ! [X23,X24,X25] :
      ( c_in(X23,c_Message_Osynth(X25),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_567]) ).

fof(c_0_938_939,plain,
    ! [X7,X8,X9] :
      ( c_in(X8,c_Message_Osynth(X9),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X8,X7),X9,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X8,X7),c_Message_Osynth(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_568]) ).

fof(c_0_939_940,plain,
    ! [X7,X8,X9] :
      ( c_in(X7,c_Message_Osynth(X9),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X8,X7),X9,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X8,X7),c_Message_Osynth(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_569]) ).

fof(c_0_940_941,plain,
    ! [X7,X8,X9] :
      ( c_in(c_Message_Omsg_OMPair(X8,X7),c_Message_Osynth(X9),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(X9),tc_Message_Omsg)
      | ~ c_in(X8,c_Message_Osynth(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_570]) ).

fof(c_0_941_942,plain,
    ! [X23,X24,X25] :
      ( c_in(X24,c_Message_OkeysFor(X25),tc_nat)
      | ~ c_in(X24,c_Message_OsymKeys,tc_nat)
      | ~ c_in(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_571]) ).

fof(c_0_942_943,plain,
    ! [X71,X72,X73,X74] :
      ( c_in(X71,X72,X74)
      | ~ c_in(X71,X73,X74)
      | ~ c_lessequals(X73,X72,tc_fun(X74,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_572]) ).

fof(c_0_943_944,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X22,X23,X25)
      | ~ c_lessequals(X24,X23,tc_fun(X25,tc_bool))
      | ~ c_in(X22,X24,X25) ),
    inference(variable_rename,[status(thm)],[c_0_573]) ).

fof(c_0_944_945,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X22,X23,X25)
      | ~ c_in(X22,X24,X25)
      | ~ c_lessequals(X24,X23,tc_fun(X25,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_574]) ).

fof(c_0_945_946,plain,
    ! [X22,X23,X24,X25] :
      ( c_in(X22,X23,X25)
      | ~ c_in(X22,X24,X25)
      | ~ c_lessequals(X24,X23,tc_fun(X25,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_575]) ).

fof(c_0_946_947,plain,
    ! [X12,X13] :
      ( X12 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool))
      | ~ c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X13,tc_bool)),tc_fun(X13,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_576]) ).

fof(c_0_947_948,plain,
    ! [X40,X41,X42,X43] :
      ( ~ class_Lattices_Oupper__semilattice(X43)
      | c_lessequals(X40,c_Lattices_Oupper__semilattice__class_Osup(X42,X41,X43),X43)
      | ~ c_lessequals(X40,X41,X43) ),
    inference(variable_rename,[status(thm)],[c_0_577]) ).

fof(c_0_948_949,plain,
    ! [X40,X41,X42,X43] :
      ( ~ class_Lattices_Oupper__semilattice(X43)
      | c_lessequals(X40,c_Lattices_Oupper__semilattice__class_Osup(X42,X41,X43),X43)
      | ~ c_lessequals(X40,X42,X43) ),
    inference(variable_rename,[status(thm)],[c_0_578]) ).

fof(c_0_949_950,plain,
    ! [X12,X13,X14] :
      ( c_Event_Oknows(X14,c_List_Olist_OCons(c_Event_Oevent_OGets(X14,X13),X12,tc_Event_Oevent)) = c_Set_Oinsert(X13,c_Event_Oknows(X14,X12),tc_Message_Omsg)
      | X14 = c_Message_Oagent_OSpy ),
    inference(variable_rename,[status(thm)],[c_0_579]) ).

fof(c_0_950_951,plain,
    ! [X40,X41,X42,X43] :
      ( c_in(X41,c_Set_Oinsert(X40,X42,X43),X43)
      | ~ c_in(X41,X42,X43) ),
    inference(variable_rename,[status(thm)],[c_0_580]) ).

fof(c_0_951_952,plain,
    ! [X40,X41,X42,X43] :
      ( c_in(X41,c_Set_Oinsert(X40,X42,X43),X43)
      | ~ c_in(X41,X42,X43) ),
    inference(variable_rename,[status(thm)],[c_0_581]) ).

fof(c_0_952_953,plain,
    ! [X22,X23,X24] :
      ( X23 = X22
      | ~ c_lessequals(X22,X23,tc_fun(X24,tc_bool))
      | ~ c_lessequals(X23,X22,tc_fun(X24,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_582])])]) ).

fof(c_0_953_954,plain,
    ! [X22,X23,X24] :
      ( X23 = X22
      | ~ c_lessequals(X22,X23,tc_fun(X24,tc_bool))
      | ~ c_lessequals(X23,X22,tc_fun(X24,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_583])])]) ).

fof(c_0_954_955,plain,
    ! [X12,X13,X14] :
      ( c_in(X13,c_Event_Oknows(X14,X12),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X14,X13),c_List_Oset(X12,tc_Event_Oevent),tc_Event_Oevent)
      | X14 = c_Message_Oagent_OSpy ),
    inference(variable_rename,[status(thm)],[c_0_584]) ).

fof(c_0_955_956,plain,
    ! [X72,X73,X74,X75,X76] :
      ( ~ class_HOL_Oord(X75)
      | c_lessequals(hAPP(X74,X72),hAPP(X73,X72),X75)
      | ~ c_lessequals(X74,X73,tc_fun(X76,X75)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_585])])]) ).

fof(c_0_956_957,plain,
    ! [X12,X13,X14] :
      ( c_in(X13,c_Event_Oknows(X14,X12),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X14,X13),c_List_Oset(X12,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(variable_rename,[status(thm)],[c_0_586]) ).

fof(c_0_957_958,plain,
    ! [X73,X74,X75,X76] :
      ( ~ class_Orderings_Oorder(X76)
      | c_lessequals(X73,X75,X76)
      | ~ c_lessequals(X73,X74,X76)
      | ~ c_lessequals(X74,X75,X76) ),
    inference(variable_rename,[status(thm)],[c_0_587]) ).

fof(c_0_958_959,plain,
    ! [X73,X74,X75,X76] :
      ( ~ class_Orderings_Opreorder(X76)
      | c_lessequals(X75,X73,X76)
      | ~ c_lessequals(X74,X73,X76)
      | ~ c_lessequals(X75,X74,X76) ),
    inference(variable_rename,[status(thm)],[c_0_588]) ).

fof(c_0_959_960,plain,
    ! [X12,X13,X14] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X14,X13),X12,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X12)
      | c_in(X14,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_589]) ).

fof(c_0_960_961,plain,
    ! [X12,X13] :
      ( X12 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool))
      | ~ c_lessequals(X12,c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)),tc_fun(X13,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_590]) ).

fof(c_0_961_962,plain,
    ! [X40,X41,X42] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X42)
      | c_lessequals(X41,X40,X42)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X40,X42),c_HOL_Ouminus__class_Ouminus(X41,X42),X42) ),
    inference(variable_rename,[status(thm)],[c_0_591]) ).

fof(c_0_962_963,plain,
    ! [X59,X60,X61] :
      ( c_Message_Oanalz(X61) != c_Message_Oanalz(X60)
      | c_Message_Oanalz(c_Set_Oinsert(X59,X61,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X59,X60,tc_Message_Omsg)) ),
    inference(variable_rename,[status(thm)],[c_0_592]) ).

fof(c_0_963_964,plain,
    ! [X63,X64] :
      ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X64)),c_Message_Osynth(c_Message_Oanalz(X63)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X64,X63,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_593]) ).

fof(c_0_964_965,plain,
    ! [X12,X13] :
      ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X13)),c_Event_Oknows(c_Message_Oagent_OSpy,X12),tc_Message_Omsg)
      | ~ c_in(X13,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_594]) ).

fof(c_0_965_966,plain,
    ! [X7,X8,X9] :
      ( c_in(X7,c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X8,X7),c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_595]) ).

fof(c_0_966_967,plain,
    ! [X7,X8,X9] :
      ( c_in(X8,c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X8,X7),c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_596]) ).

fof(c_0_967_968,plain,
    ! [X11,X12] :
      ( c_in(X12,c_Event_Oused(X11),tc_Message_Omsg)
      | ~ c_in(X12,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X11)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_597]) ).

fof(c_0_968_969,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Oupper__semilattice(X12)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12),X12) = c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_598]) ).

fof(c_0_969_970,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Olattice(X12)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12),X12) = c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_599]) ).

fof(c_0_970_971,plain,
    ! [X7,X8] :
      ( c_in(X7,c_Message_Osynth(X8),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(X7),X8,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(X7),c_Message_Osynth(X8),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_600]) ).

fof(c_0_971_972,plain,
    ! [X12,X13,X14] :
      ( c_in(X13,c_Event_Oused(X12),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X14,X13),c_List_Oset(X12,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_601])])]) ).

fof(c_0_972_973,plain,
    ! [X63,X64] :
      ( c_lessequals(X64,c_Message_Osynth(X63),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Osynth(X64),c_Message_Osynth(X63),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_602]) ).

fof(c_0_973_974,plain,
    ! [X63,X64] :
      ( c_lessequals(X64,c_Message_Oparts(X63),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oparts(X64),c_Message_Oparts(X63),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_603]) ).

fof(c_0_974_975,plain,
    ! [X63,X64] :
      ( c_lessequals(X64,c_Message_Oanalz(X63),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X64),c_Message_Oanalz(X63),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_604]) ).

fof(c_0_975_976,plain,
    ! [X65,X66,X67] :
      ( ~ hBOOL(hAPP(X66,X65))
      | ~ c_in(X65,c_Orderings_Obot__class_Obot(tc_fun(X67,tc_bool)),X67) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_605])])]) ).

fof(c_0_976_977,plain,
    ! [X40,X41,X42] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X42)
      | c_lessequals(X40,c_HOL_Ouminus__class_Ouminus(X41,X42),X42)
      | ~ c_lessequals(X41,c_HOL_Ouminus__class_Ouminus(X40,X42),X42) ),
    inference(variable_rename,[status(thm)],[c_0_606]) ).

fof(c_0_977_978,plain,
    ! [X40,X41,X42] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X42)
      | c_lessequals(X41,c_HOL_Ouminus__class_Ouminus(X40,X42),X42)
      | ~ c_lessequals(X40,c_HOL_Ouminus__class_Ouminus(X41,X42),X42) ),
    inference(variable_rename,[status(thm)],[c_0_607]) ).

fof(c_0_978_979,plain,
    ! [X40,X41,X42] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X42)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X40,X42),X41,X42)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X41,X42),X40,X42) ),
    inference(variable_rename,[status(thm)],[c_0_608]) ).

fof(c_0_979_980,plain,
    ! [X40,X41,X42] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X42)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X41,X42),X40,X42)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X40,X42),X41,X42) ),
    inference(variable_rename,[status(thm)],[c_0_609]) ).

fof(c_0_980_981,plain,
    ! [X63,X64] :
      ( c_lessequals(c_Message_Osynth(X64),c_Message_Osynth(X63),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X64,c_Message_Osynth(X63),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_610]) ).

fof(c_0_981_982,plain,
    ! [X63,X64] :
      ( c_lessequals(c_Message_Oparts(X64),c_Message_Oparts(X63),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X64,c_Message_Oparts(X63),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_611]) ).

fof(c_0_982_983,plain,
    ! [X63,X64] :
      ( c_lessequals(c_Message_Oanalz(X64),c_Message_Oanalz(X63),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X64,c_Message_Oanalz(X63),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_612]) ).

fof(c_0_983_984,plain,
    ! [X23,X24,X25] :
      ( c_in(hAPP(c_Message_OinvKey,X24),c_Message_OkeysFor(X25),tc_nat)
      | ~ c_in(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_613]) ).

fof(c_0_984_985,plain,
    ! [X23,X24] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X23),X24,tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X23),c_Message_Osynth(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_614]) ).

fof(c_0_985_986,plain,
    ! [X7,X8] :
      ( c_Message_Oanalz(c_Set_Oinsert(X7,X8,tc_Message_Omsg)) = c_Message_Oanalz(X8)
      | ~ c_in(X7,c_Message_Oanalz(X8),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_615]) ).

fof(c_0_986_987,plain,
    ! [X7,X8] :
      ( c_Message_Oparts(c_Set_Oinsert(X7,X8,tc_Message_Omsg)) = c_Message_Oparts(X8)
      | ~ c_in(X7,c_Message_Oparts(X8),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_616]) ).

fof(c_0_987_988,plain,
    ! [X63,X64] :
      ( c_lessequals(c_Message_Osynth(X64),c_Message_Osynth(X63),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X64,X63,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_617]) ).

fof(c_0_988_989,plain,
    ! [X63,X64] :
      ( c_lessequals(c_Message_OkeysFor(X64),c_Message_OkeysFor(X63),tc_fun(tc_nat,tc_bool))
      | ~ c_lessequals(X64,X63,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_618]) ).

fof(c_0_989_990,plain,
    ! [X63,X64] :
      ( c_lessequals(c_Message_Oparts(X64),c_Message_Oparts(X63),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X64,X63,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_619]) ).

fof(c_0_990_991,plain,
    ! [X63,X64] :
      ( c_lessequals(c_Message_Oanalz(X64),c_Message_Oanalz(X63),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X64,X63,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_620]) ).

fof(c_0_991_992,plain,
    ! [X23,X24] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X23),c_Message_Osynth(X24),tc_Message_Omsg)
      | ~ c_in(hAPP(c_Message_Omsg_OKey,X23),X24,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_621]) ).

fof(c_0_992_993,plain,
    ! [X22,X23,X24] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(X24,tc_bool)) != X22
      | c_lessequals(X23,X22,tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_622]) ).

fof(c_0_993_994,plain,
    ! [X22,X23,X24] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(X24,tc_bool)) = X22
      | ~ c_lessequals(X23,X22,tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_623]) ).

fof(c_0_994_995,plain,
    ! [X22,X23,X24] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(X24,tc_bool)) = X23
      | ~ c_lessequals(X22,X23,tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_624]) ).

fof(c_0_995_996,plain,
    ! [X76,X77,X78,X79] :
      ( hBOOL(hAPP(X77,X76))
      | ~ hBOOL(hAPP(X78,X76))
      | ~ c_lessequals(X78,X77,tc_fun(X79,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_625])])]) ).

fof(c_0_996_997,plain,
    ! [X76,X77,X78,X79] :
      ( hBOOL(hAPP(X77,X76))
      | ~ c_lessequals(X78,X77,tc_fun(X79,tc_bool))
      | ~ hBOOL(hAPP(X78,X76)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_626])])]) ).

fof(c_0_997_998,plain,
    ! [X40,X41,X42] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X42)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X40,X42),c_HOL_Ouminus__class_Ouminus(X41,X42),X42)
      | ~ c_lessequals(X41,X40,X42) ),
    inference(variable_rename,[status(thm)],[c_0_627]) ).

fof(c_0_998_999,plain,
    ! [X65,X66,X67] :
      ( hBOOL(hAPP(X66,X65))
      | ~ c_in(X65,c_Orderings_Obot__class_Obot(tc_fun(X67,tc_bool)),X67) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_628])])]) ).

fof(c_0_999_1000,plain,
    ! [X7,X8,X9] :
      ( c_in(X8,c_Event_Oused(X9),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X8,X7),c_Event_Oused(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_629]) ).

fof(c_0_1000_1001,plain,
    ! [X7,X8,X9] :
      ( c_in(X7,c_Event_Oused(X9),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X8,X7),c_Event_Oused(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_630]) ).

fof(c_0_1001_1002,plain,
    ! [X7,X8,X9] :
      ( c_in(X7,c_Message_Oanalz(X9),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X8,X7),c_Message_Oanalz(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_631]) ).

fof(c_0_1002_1003,plain,
    ! [X7,X8,X9] :
      ( c_in(X8,c_Message_Oanalz(X9),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X8,X7),c_Message_Oanalz(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_632]) ).

fof(c_0_1003_1004,plain,
    ! [X7,X8,X9] :
      ( c_in(X7,c_Message_Oparts(X9),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X8,X7),c_Message_Oparts(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_633]) ).

fof(c_0_1004_1005,plain,
    ! [X7,X8,X9] :
      ( c_in(X8,c_Message_Oparts(X9),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X8,X7),c_Message_Oparts(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_634]) ).

fof(c_0_1005_1006,plain,
    ! [X23,X24,X25] :
      ( c_in(X23,c_Message_Oparts(X25),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oparts(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_635]) ).

fof(c_0_1006_1007,plain,
    ! [X22,X23,X24] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(X24,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X24,tc_bool))
      | X23 = c_Orderings_Obot__class_Obot(tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_636]) ).

fof(c_0_1007_1008,plain,
    ! [X22,X23,X24] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(X24,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X24,tc_bool))
      | X22 = c_Orderings_Obot__class_Obot(tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_637]) ).

fof(c_0_1008_1009,plain,
    ! [X62,X63,X64] :
      ( c_Set_Oinsert(X63,X62,X64) != c_Orderings_Obot__class_Obot(tc_fun(X64,tc_bool))
      | c_in(X63,X62,X64) ),
    inference(variable_rename,[status(thm)],[c_0_638]) ).

fof(c_0_1009_1010,plain,
    ! [X10,X11,X12] :
      ( ~ class_Orderings_Oorder(X12)
      | X11 = X10
      | ~ c_lessequals(X10,X11,X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_639]) ).

fof(c_0_1010_1011,plain,
    ! [X10,X11,X12] :
      ( ~ class_Orderings_Oorder(X12)
      | X11 = X10
      | ~ c_lessequals(X10,X11,X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_640]) ).

fof(c_0_1011_1012,plain,
    ! [X10,X11,X12] :
      ( ~ class_Orderings_Oorder(X12)
      | X11 = X10
      | ~ c_lessequals(X11,X10,X12)
      | ~ c_lessequals(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_641]) ).

fof(c_0_1012_1013,plain,
    ! [X12,X13,X14] :
      ( c_in(X12,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X14,tc_bool)),X14)
      | c_in(X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_642]) ).

fof(c_0_1013_1014,plain,
    ! [X61,X62,X63,X64] :
      ( c_List_Oappend(X63,X62,X64) != c_List_Oappend(X63,X61,X64)
      | X62 = X61 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_643])])]) ).

fof(c_0_1014_1015,plain,
    ! [X61,X62,X63,X64] :
      ( c_List_Oappend(X62,X63,X64) != c_List_Oappend(X61,X63,X64)
      | X62 = X61 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_644])])]) ).

fof(c_0_1015_1016,plain,
    ! [X40,X41,X42,X43,X44] :
      ( c_List_Olist_OCons(X43,X41,X44) != c_List_Olist_OCons(X42,X40,X44)
      | X43 = X42 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_645])])]) ).

fof(c_0_1016_1017,plain,
    ! [X40,X41,X42,X43,X44] :
      ( c_List_Olist_OCons(X43,X41,X44) != c_List_Olist_OCons(X42,X40,X44)
      | X41 = X40 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_646])])]) ).

fof(c_0_1017_1018,plain,
    ! [X29,X30,X31,X32,X33,X34] :
      ( c_Event_Oevent_OSays(X34,X32,X30) != c_Event_Oevent_OSays(X33,X31,X29)
      | X34 = X33 ),
    inference(variable_rename,[status(thm)],[c_0_647]) ).

fof(c_0_1018_1019,plain,
    ! [X29,X30,X31,X32,X33,X34] :
      ( c_Event_Oevent_OSays(X34,X32,X30) != c_Event_Oevent_OSays(X33,X31,X29)
      | X32 = X31 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_648])])]) ).

fof(c_0_1019_1020,plain,
    ! [X29,X30,X31,X32,X33,X34] :
      ( c_Event_Oevent_OSays(X34,X32,X30) != c_Event_Oevent_OSays(X33,X31,X29)
      | X30 = X29 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_649])])]) ).

fof(c_0_1020_1021,plain,
    ! [X22,X23,X24] :
      ( c_in(X23,c_Event_Oused(X22),tc_Message_Omsg)
      | ~ c_in(X23,c_Message_Oparts(c_Event_OinitState(X24)),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_650])])]) ).

fof(c_0_1021_1022,plain,
    ! [X7,X8] :
      ( c_in(X7,c_Message_Osynth(X8),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_651]) ).

fof(c_0_1022_1023,plain,
    ! [X7,X8] :
      ( c_in(X7,c_Message_Oparts(X8),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oparts(c_Message_Oparts(X8)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_652]) ).

fof(c_0_1023_1024,plain,
    ! [X7,X8] :
      ( c_in(X7,c_Message_Oanalz(X8),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oanalz(c_Message_Oanalz(X8)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_653]) ).

fof(c_0_1024_1025,plain,
    ! [X23] :
      ( c_in(X23,c_Message_OsymKeys,tc_nat)
      | ~ c_in(hAPP(c_Message_OinvKey,X23),c_Message_OsymKeys,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_654]) ).

fof(c_0_1025_1026,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Oupper__semilattice(X12)
      | c_lessequals(X11,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_655]) ).

fof(c_0_1026_1027,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Oupper__semilattice(X12)
      | c_lessequals(X10,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_656]) ).

fof(c_0_1027_1028,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Olattice(X12)
      | c_lessequals(X10,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_657]) ).

fof(c_0_1028_1029,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Olattice(X12)
      | c_lessequals(X11,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_658]) ).

fof(c_0_1029_1030,plain,
    ! [X49,X50] :
      ( c_in(c_Message_Omsg_ONonce(X49),X50,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_ONonce(X49),c_Message_Osynth(X50),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_659]) ).

fof(c_0_1030_1031,plain,
    ! [X24,X25] :
      ( c_in(c_Message_Omsg_ONonce(X24),X25,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_ONonce(X24),c_Message_Osynth(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_660]) ).

fof(c_0_1031_1032,plain,
    ! [X7,X8] :
      ( c_in(c_Message_Omsg_OHash(X7),c_Message_Osynth(X8),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(X8),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_661]) ).

fof(c_0_1032_1033,plain,
    ! [X24,X25] :
      ( c_in(c_Message_Omsg_ONonce(X24),c_Message_Osynth(X25),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_ONonce(X24),X25,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_662]) ).

fof(c_0_1033_1034,plain,
    ! [X23] :
      ( c_in(hAPP(c_Message_OinvKey,X23),c_Message_OsymKeys,tc_nat)
      | ~ c_in(X23,c_Message_OsymKeys,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_663]) ).

fof(c_0_1034_1035,plain,
    ! [X8,X9] :
      ( ~ c_in(X8,c_Message_Oanalz(X9),tc_Message_Omsg)
      | c_in(X8,c_Message_Oparts(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_664]) ).

fof(c_0_1035_1036,plain,
    ! [X8,X9] :
      ( c_in(X8,c_Message_Oparts(X9),tc_Message_Omsg)
      | ~ c_in(X8,c_Message_Oanalz(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_665]) ).

fof(c_0_1036_1037,plain,
    ! [X7,X8] :
      ( c_in(X7,c_Message_Oparts(X8),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Oanalz(X8),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_666]) ).

fof(c_0_1037_1038,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Oupper__semilattice(X12)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12) != X10
      | c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_667]) ).

fof(c_0_1038_1039,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Oupper__semilattice(X12)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12) = X11
      | ~ c_lessequals(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_668]) ).

fof(c_0_1039_1040,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Oupper__semilattice(X12)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12) = X10
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_669]) ).

fof(c_0_1040_1041,plain,
    ! [X7,X8] :
      ( c_in(X7,c_Message_Osynth(X8),tc_Message_Omsg)
      | ~ c_in(X7,X8,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_670]) ).

fof(c_0_1041_1042,plain,
    ! [X7,X8] :
      ( c_in(X7,c_Message_Oparts(X8),tc_Message_Omsg)
      | ~ c_in(X7,X8,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_671]) ).

fof(c_0_1042_1043,plain,
    ! [X7,X8] :
      ( c_in(X7,c_Message_Oanalz(X8),tc_Message_Omsg)
      | ~ c_in(X7,X8,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_672]) ).

fof(c_0_1043_1044,plain,
    ! [X40,X41,X42] :
      ( c_Set_Oinsert(X40,X41,X42) = X41
      | ~ c_in(X40,X41,X42) ),
    inference(variable_rename,[status(thm)],[c_0_673]) ).

fof(c_0_1044_1045,plain,
    ! [X22,X23,X24] :
      ( c_HOL_Ouminus__class_Ouminus(X23,tc_fun(X24,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X22,tc_fun(X24,tc_bool))
      | X23 = X22 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_674])])]) ).

fof(c_0_1045_1046,plain,
    ! [X10,X11,X12] :
      ( ~ class_Orderings_Olinorder(X12)
      | c_lessequals(X10,X11,X12)
      | c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_675]) ).

fof(c_0_1046_1047,plain,
    ! [X77,X78] :
      ( hBOOL(hAPP(X78,X77))
      | ~ hBOOL(hAPP(X78,c_Public_Okeymode_OEncryption))
      | ~ hBOOL(hAPP(X78,c_Public_Okeymode_OSignature)) ),
    inference(variable_rename,[status(thm)],[c_0_676]) ).

fof(c_0_1047_1048,plain,
    ! [X21,X22,X23] :
      ( hBOOL(hAPP(X22,X21))
      | ~ c_in(X21,X22,X23) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_677])])]) ).

fof(c_0_1048_1049,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Oupper__semilattice(X12)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12) = c_Lattices_Oupper__semilattice__class_Osup(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_678]) ).

fof(c_0_1049_1050,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Olattice(X12)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12) = c_Lattices_Oupper__semilattice__class_Osup(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_679]) ).

fof(c_0_1050_1051,plain,
    ! [X22,X23,X24] :
      ( ~ class_Lattices_Obounded__lattice(X24)
      | c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X24) != c_Orderings_Obot__class_Obot(X24)
      | X22 = c_Orderings_Obot__class_Obot(X24) ),
    inference(variable_rename,[status(thm)],[c_0_680]) ).

fof(c_0_1051_1052,plain,
    ! [X22,X23,X24] :
      ( ~ class_Lattices_Obounded__lattice(X24)
      | c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X24) != c_Orderings_Obot__class_Obot(X24)
      | X23 = c_Orderings_Obot__class_Obot(X24) ),
    inference(variable_rename,[status(thm)],[c_0_681]) ).

fof(c_0_1052_1053,plain,
    ! [X21,X22,X23] :
      ( c_in(X21,X22,X23)
      | ~ hBOOL(hAPP(X22,X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_682])])]) ).

fof(c_0_1053_1054,plain,
    ! [X60,X61,X62] :
      ( c_List_Oappend(X61,X60,X62) != c_List_Olist_ONil(X62)
      | X60 = c_List_Olist_ONil(X62) ),
    inference(variable_rename,[status(thm)],[c_0_683]) ).

fof(c_0_1054_1055,plain,
    ! [X60,X61,X62] :
      ( c_List_Oappend(X61,X60,X62) != c_List_Olist_ONil(X62)
      | X61 = c_List_Olist_ONil(X62) ),
    inference(variable_rename,[status(thm)],[c_0_684]) ).

fof(c_0_1055_1056,plain,
    ! [X60,X61,X62] :
      ( c_List_Olist_ONil(X62) != c_List_Oappend(X61,X60,X62)
      | X60 = c_List_Olist_ONil(X62) ),
    inference(variable_rename,[status(thm)],[c_0_685]) ).

fof(c_0_1056_1057,plain,
    ! [X60,X61,X62] :
      ( c_List_Olist_ONil(X62) != c_List_Oappend(X61,X60,X62)
      | X61 = c_List_Olist_ONil(X62) ),
    inference(variable_rename,[status(thm)],[c_0_686]) ).

fof(c_0_1057_1058,plain,
    ! [X23] :
      ( hAPP(c_Message_OinvKey,X23) = X23
      | ~ c_in(X23,c_Message_OsymKeys,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_687]) ).

fof(c_0_1058_1059,plain,
    ! [X60,X61,X62] :
      ( X60 != c_List_Oappend(X61,X60,X62)
      | X61 = c_List_Olist_ONil(X62) ),
    inference(variable_rename,[status(thm)],[c_0_688]) ).

fof(c_0_1059_1060,plain,
    ! [X60,X61,X62] :
      ( c_List_Oappend(X61,X60,X62) != X60
      | X61 = c_List_Olist_ONil(X62) ),
    inference(variable_rename,[status(thm)],[c_0_689]) ).

fof(c_0_1060_1061,plain,
    ! [X60,X61,X62] :
      ( X61 != c_List_Oappend(X61,X60,X62)
      | X60 = c_List_Olist_ONil(X62) ),
    inference(variable_rename,[status(thm)],[c_0_690]) ).

fof(c_0_1061_1062,plain,
    ! [X60,X61,X62] :
      ( c_List_Oappend(X61,X60,X62) != X61
      | X60 = c_List_Olist_ONil(X62) ),
    inference(variable_rename,[status(thm)],[c_0_691]) ).

fof(c_0_1062_1063,plain,
    ! [X10,X11] :
      ( ~ class_Lattices_Oboolean__algebra(X11)
      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X10,X11),X10,X11) = c_Orderings_Otop__class_Otop(X11) ),
    inference(variable_rename,[status(thm)],[c_0_692]) ).

fof(c_0_1063_1064,plain,
    ! [X10,X11] :
      ( ~ class_Lattices_Oboolean__algebra(X11)
      | c_Lattices_Oupper__semilattice__class_Osup(X10,c_HOL_Ouminus__class_Ouminus(X10,X11),X11) = c_Orderings_Otop__class_Otop(X11) ),
    inference(variable_rename,[status(thm)],[c_0_693]) ).

fof(c_0_1064_1065,plain,
    ! [X4,X5,X6] :
      ( X5 = X4
      | ~ c_fequal(X5,X4,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_694])])]) ).

fof(c_0_1065_1066,plain,
    ! [X10,X11] :
      ( ~ class_Lattices_Obounded__lattice(X11)
      | c_Lattices_Oupper__semilattice__class_Osup(X10,c_Orderings_Otop__class_Otop(X11),X11) = c_Orderings_Otop__class_Otop(X11) ),
    inference(variable_rename,[status(thm)],[c_0_695]) ).

fof(c_0_1066_1067,plain,
    ! [X10,X11] :
      ( ~ class_Lattices_Obounded__lattice(X11)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X11),X10,X11) = c_Orderings_Otop__class_Otop(X11) ),
    inference(variable_rename,[status(thm)],[c_0_696]) ).

fof(c_0_1067_1068,plain,
    ! [X48,X49] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X49,tc_bool)) != c_List_Oset(X48,X49)
      | X48 = c_List_Olist_ONil(X49) ),
    inference(variable_rename,[status(thm)],[c_0_697]) ).

fof(c_0_1068_1069,plain,
    ! [X48,X49] :
      ( c_List_Oset(X48,X49) != c_Orderings_Obot__class_Obot(tc_fun(X49,tc_bool))
      | X48 = c_List_Olist_ONil(X49) ),
    inference(variable_rename,[status(thm)],[c_0_698]) ).

fof(c_0_1069_1070,plain,
    ! [X10,X11] :
      ( ~ class_Lattices_Obounded__lattice(X11)
      | c_Lattices_Oupper__semilattice__class_Osup(X10,c_Orderings_Obot__class_Obot(X11),X11) = X10 ),
    inference(variable_rename,[status(thm)],[c_0_699]) ).

fof(c_0_1070_1071,plain,
    ! [X10,X11] :
      ( ~ class_Lattices_Obounded__lattice(X11)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X11),X10,X11) = X10 ),
    inference(variable_rename,[status(thm)],[c_0_700]) ).

fof(c_0_1071_1072,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Obot(X11)
      | c_lessequals(c_Orderings_Obot__class_Obot(X11),X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_701]) ).

fof(c_0_1072_1073,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Otop(X11)
      | c_lessequals(X10,c_Orderings_Otop__class_Otop(X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_702]) ).

fof(c_0_1073_1074,plain,
    ! [X42,X43,X44,X45] :
      ( hAPP(c_Public_OpublicKey(X43),X45) != hAPP(c_Public_OpublicKey(X42),X44)
      | X43 = X42 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_703])])]) ).

fof(c_0_1074_1075,plain,
    ! [X42,X43,X44,X45] :
      ( hAPP(c_Public_OpublicKey(X43),X45) != hAPP(c_Public_OpublicKey(X42),X44)
      | X45 = X44 ),
    inference(variable_rename,[status(thm)],[c_0_704]) ).

fof(c_0_1075_1076,plain,
    ! [X10,X11] :
      ( ~ class_Lattices_Oupper__semilattice(X11)
      | c_Lattices_Oupper__semilattice__class_Osup(X10,X10,X11) = X10 ),
    inference(variable_rename,[status(thm)],[c_0_705]) ).

fof(c_0_1076_1077,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Oorder(X11)
      | c_lessequals(X10,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_706]) ).

fof(c_0_1077_1078,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Opreorder(X11)
      | c_lessequals(X10,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_707]) ).

fof(c_0_1078_1079,plain,
    ! [X10,X11,X12] :
      ( ~ class_Lattices_Oboolean__algebra(X12)
      | c_HOL_Ouminus__class_Ouminus(X11,X12) != c_HOL_Ouminus__class_Ouminus(X10,X12)
      | X11 = X10 ),
    inference(variable_rename,[status(thm)],[c_0_708]) ).

fof(c_0_1079_1080,plain,
    ! [X40,X41,X42] :
      ( ~ class_OrderedGroup_Ogroup__add(X42)
      | c_HOL_Ouminus__class_Ouminus(X41,X42) != c_HOL_Ouminus__class_Ouminus(X40,X42)
      | X41 = X40 ),
    inference(variable_rename,[status(thm)],[c_0_709]) ).

fof(c_0_1080_1081,plain,
    ! [X40,X41] :
      ( ~ class_OrderedGroup_Ogroup__add(X41)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X40,X41),X41) = X40 ),
    inference(variable_rename,[status(thm)],[c_0_710]) ).

fof(c_0_1081_1082,plain,
    ! [X10,X11] :
      ( ~ class_Lattices_Oboolean__algebra(X11)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X11),X11) = X10 ),
    inference(variable_rename,[status(thm)],[c_0_711]) ).

fof(c_0_1082_1083,plain,
    ! [X35,X36] :
      ( ~ class_OrderedGroup_Ogroup__add(X36)
      | X35 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X35,X36),X36) ),
    inference(variable_rename,[status(thm)],[c_0_712]) ).

fof(c_0_1083_1084,plain,
    ! [X40,X41] :
      ( ~ class_OrderedGroup_Ogroup__add(X41)
      | X40 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X40,X41),X41) ),
    inference(variable_rename,[status(thm)],[c_0_713]) ).

fof(c_0_1084_1085,plain,
    ! [X35,X36] :
      ( ~ class_OrderedGroup_Ogroup__add(X36)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X35,X36),X36) = X35 ),
    inference(variable_rename,[status(thm)],[c_0_714]) ).

fof(c_0_1085_1086,plain,
    ! [X31,X32,X33,X34] :
      ( c_Event_Oevent_OGets(X34,X32) != c_Event_Oevent_OGets(X33,X31)
      | X32 = X31 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_715])])]) ).

fof(c_0_1086_1087,plain,
    ! [X31,X32,X33,X34] :
      ( c_Event_Oevent_OGets(X34,X32) != c_Event_Oevent_OGets(X33,X31)
      | X34 = X33 ),
    inference(variable_rename,[status(thm)],[c_0_716]) ).

fof(c_0_1087_1088,plain,
    ! [X31,X32,X33,X34] :
      ( c_Event_Oevent_ONotes(X34,X32) != c_Event_Oevent_ONotes(X33,X31)
      | X32 = X31 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_717])])]) ).

fof(c_0_1088_1089,plain,
    ! [X31,X32,X33,X34] :
      ( c_Event_Oevent_ONotes(X34,X32) != c_Event_Oevent_ONotes(X33,X31)
      | X34 = X33 ),
    inference(variable_rename,[status(thm)],[c_0_718]) ).

fof(c_0_1089_1090,plain,
    ! [X20,X21,X22,X23] :
      ( c_Message_Omsg_OCrypt(X21,X23) != c_Message_Omsg_OCrypt(X20,X22)
      | X21 = X20 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_719])])]) ).

fof(c_0_1090_1091,plain,
    ! [X20,X21,X22,X23] :
      ( c_Message_Omsg_OCrypt(X21,X23) != c_Message_Omsg_OCrypt(X20,X22)
      | X23 = X22 ),
    inference(variable_rename,[status(thm)],[c_0_720]) ).

fof(c_0_1091_1092,plain,
    ! [X16,X17,X18,X19] :
      ( c_Message_Omsg_OMPair(X19,X17) != c_Message_Omsg_OMPair(X18,X16)
      | X19 = X18 ),
    inference(variable_rename,[status(thm)],[c_0_721]) ).

fof(c_0_1092_1093,plain,
    ! [X16,X17,X18,X19] :
      ( c_Message_Omsg_OMPair(X19,X17) != c_Message_Omsg_OMPair(X18,X16)
      | X17 = X16 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_722])])]) ).

fof(c_0_1093_1094,plain,
    ! [X41,X42] :
      ( hAPP(c_Message_OinvKey,X42) != hAPP(c_Message_OinvKey,X41)
      | X42 = X41 ),
    inference(variable_rename,[status(thm)],[c_0_723]) ).

fof(c_0_1094_1095,plain,
    ! [X18,X19] :
      ( hAPP(c_Message_Omsg_OKey,X19) != hAPP(c_Message_Omsg_OKey,X18)
      | X19 = X18 ),
    inference(variable_rename,[status(thm)],[c_0_724]) ).

fof(c_0_1095_1096,plain,
    ! [X10,X11] :
      ( hAPP(c_Public_OshrK,X11) != hAPP(c_Public_OshrK,X10)
      | X11 = X10 ),
    inference(variable_rename,[status(thm)],[c_0_725]) ).

fof(c_0_1096_1097,plain,
    ! [X6,X7] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_726]) ).

fof(c_0_1097_1098,plain,
    ! [X6,X7] :
      ( class_Lattices_Obounded__lattice(tc_fun(X6,X7))
      | ~ class_Lattices_Obounded__lattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_727]) ).

fof(c_0_1098_1099,plain,
    ! [X6,X7] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X6,X7))
      | ~ class_Lattices_Oboolean__algebra(X7) ),
    inference(variable_rename,[status(thm)],[c_0_728]) ).

fof(c_0_1099_1100,plain,
    ! [X6,X7] :
      ( class_Orderings_Opreorder(tc_fun(X6,X7))
      | ~ class_Orderings_Opreorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_729]) ).

fof(c_0_1100_1101,plain,
    ! [X6,X7] :
      ( class_Lattices_Olattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_730]) ).

fof(c_0_1101_1102,plain,
    ! [X6,X7] :
      ( class_Orderings_Oorder(tc_fun(X6,X7))
      | ~ class_Orderings_Oorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_731]) ).

fof(c_0_1102_1103,plain,
    ! [X6,X7] :
      ( class_Orderings_Otop(tc_fun(X6,X7))
      | ~ class_Orderings_Otop(X7) ),
    inference(variable_rename,[status(thm)],[c_0_732]) ).

fof(c_0_1103_1104,plain,
    ! [X6,X7] :
      ( class_Orderings_Obot(tc_fun(X6,X7))
      | ~ class_Orderings_Obot(X7) ),
    inference(variable_rename,[status(thm)],[c_0_733]) ).

fof(c_0_1104_1105,plain,
    ! [X6,X7] :
      ( class_HOL_Oord(tc_fun(X6,X7))
      | ~ class_HOL_Oord(X7) ),
    inference(variable_rename,[status(thm)],[c_0_734]) ).

fof(c_0_1105_1106,plain,
    ! [X4] :
      ( ~ class_Lattices_Oboolean__algebra(X4)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X4),X4) = c_Orderings_Obot__class_Obot(X4) ),
    inference(variable_rename,[status(thm)],[c_0_735]) ).

fof(c_0_1106_1107,plain,
    ! [X4] :
      ( ~ class_Lattices_Oboolean__algebra(X4)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X4),X4) = c_Orderings_Otop__class_Otop(X4) ),
    inference(variable_rename,[status(thm)],[c_0_736]) ).

fof(c_0_1107_1108,plain,
    ! [X20,X21] :
      ( c_Message_Omsg_OHash(X21) != c_Message_Omsg_OHash(X20)
      | X21 = X20 ),
    inference(variable_rename,[status(thm)],[c_0_737]) ).

fof(c_0_1108_1109,plain,
    ! [X31,X32] :
      ( c_Message_Omsg_OAgent(X32) != c_Message_Omsg_OAgent(X31)
      | X32 = X31 ),
    inference(variable_rename,[status(thm)],[c_0_738]) ).

fof(c_0_1109_1110,plain,
    ! [X18,X19] :
      ( c_Message_Omsg_ONonce(X19) != c_Message_Omsg_ONonce(X18)
      | X19 = X18 ),
    inference(variable_rename,[status(thm)],[c_0_739]) ).

cnf(c_0_1110_1111,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_740]) ).

cnf(c_0_1111_1112,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_741]) ).

cnf(c_0_1112_1113,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(X3,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_742]) ).

cnf(c_0_1113_1114,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_743]) ).

cnf(c_0_1114_1115,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_744]) ).

cnf(c_0_1115_1116,plain,
    ( c_in(X3,X2,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_745]) ).

cnf(c_0_1116_1117,plain,
    ( X5 = X10
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_746]) ).

cnf(c_0_1117_1118,plain,
    ( X3 = X9
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_747]) ).

cnf(c_0_1118_1119,plain,
    ( X2 = X8
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_748]) ).

cnf(c_0_1119_1120,plain,
    ( X1 = X7
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_749]) ).

cnf(c_0_1120_1121,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_750]) ).

cnf(c_0_1121_1122,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_751]) ).

cnf(c_0_1122_1123,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_752]) ).

cnf(c_0_1123_1124,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(X3,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_753]) ).

cnf(c_0_1124_1125,plain,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_754]) ).

cnf(c_0_1125_1126,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_755]) ).

cnf(c_0_1126_1127,plain,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_756]) ).

cnf(c_0_1127_1128,plain,
    ( 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(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_757]) ).

cnf(c_0_1128_1129,plain,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_758]) ).

cnf(c_0_1129_1130,plain,
    ( X2 = c_Message_Oagent_OServer
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_759]) ).

cnf(c_0_1130_1131,plain,
    ( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_760]) ).

cnf(c_0_1131_1132,plain,
    ( X2 = c_Message_Oagent_OServer
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_761]) ).

cnf(c_0_1132_1133,plain,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_762]) ).

cnf(c_0_1133_1134,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_763]) ).

cnf(c_0_1134_1135,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_764]) ).

cnf(c_0_1135_1136,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_765]) ).

cnf(c_0_1136_1137,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_766]) ).

cnf(c_0_1137_1138,plain,
    ( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2)))
    | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_767]) ).

cnf(c_0_1138_1139,plain,
    ( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X1)))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_768]) ).

cnf(c_0_1139_1140,plain,
    ( X2 = hAPP(c_Public_OshrK,X1)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_769]) ).

cnf(c_0_1140_1141,plain,
    ( c_in(X3,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_770]) ).

cnf(c_0_1141_1142,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_771]) ).

cnf(c_0_1142_1143,plain,
    ( c_in(X2,X4,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_772]) ).

cnf(c_0_1143_1144,plain,
    ( X1 = X3
    | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_773]) ).

cnf(c_0_1144_1145,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_774]) ).

cnf(c_0_1145_1146,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_775]) ).

cnf(c_0_1146_1147,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_776]) ).

cnf(c_0_1147_1148,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_777]) ).

cnf(c_0_1148_1149,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_778]) ).

cnf(c_0_1149_1150,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_779]) ).

cnf(c_0_1150_1151,plain,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4)))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_780]) ).

cnf(c_0_1151_1152,plain,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4)))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_781]) ).

cnf(c_0_1152_1153,plain,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_782]) ).

cnf(c_0_1153_1154,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_783]) ).

cnf(c_0_1154_1155,plain,
    ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_784]) ).

cnf(c_0_1155_1156,plain,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4)))
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_List_Oset(c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_785]) ).

cnf(c_0_1156_1157,plain,
    ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_786]) ).

cnf(c_0_1157_1158,plain,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4)))
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),c_List_Oset(c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_787]) ).

cnf(c_0_1158_1159,plain,
    ( c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_788]) ).

cnf(c_0_1159_1160,plain,
    ( c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X3),X1)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_789]) ).

cnf(c_0_1160_1161,plain,
    ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),c_List_Oset(c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_790]) ).

cnf(c_0_1161_1162,plain,
    ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_List_Oset(c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_791]) ).

cnf(c_0_1162_1163,plain,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_792]) ).

cnf(c_0_1163_1164,plain,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oparts(X4),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_793]) ).

cnf(c_0_1164_1165,plain,
    ( c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,X7))))),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_794]) ).

cnf(c_0_1165_1166,plain,
    ( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | X3 = X2
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_795]) ).

cnf(c_0_1166_1167,plain,
    ( c_in(c_Event_Oevent_OSays(X1,X2,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_796]) ).

cnf(c_0_1167_1168,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X5,tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_797]) ).

cnf(c_0_1168_1169,plain,
    ( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_798]) ).

cnf(c_0_1169_1170,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_799]) ).

cnf(c_0_1170_1171,plain,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_800]) ).

cnf(c_0_1171_1172,plain,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_801]) ).

cnf(c_0_1172_1173,plain,
    ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_802]) ).

cnf(c_0_1173_1174,plain,
    ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_803]) ).

cnf(c_0_1174_1175,plain,
    ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_804]) ).

cnf(c_0_1175_1176,plain,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_805]) ).

cnf(c_0_1176_1177,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_806]) ).

cnf(c_0_1177_1178,plain,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_807]) ).

cnf(c_0_1178_1179,plain,
    ( c_in(hAPP(X1,X6),X5,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_in(X6,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_808]) ).

cnf(c_0_1179_1180,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_809]) ).

cnf(c_0_1180_1181,plain,
    ( c_in(X2,X4,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_810]) ).

cnf(c_0_1181_1182,plain,
    ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_811]) ).

cnf(c_0_1182_1183,plain,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_812]) ).

cnf(c_0_1183_1184,plain,
    ( c_in(X1,X2,tc_nat)
    | ~ c_in(hAPP(c_Message_OinvKey,X1),c_Set_Oimage(c_Message_OinvKey,X2,tc_nat,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_813]) ).

cnf(c_0_1184_1185,plain,
    ( c_in(X1,X2,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_814]) ).

cnf(c_0_1185_1186,plain,
    ( c_in(X1,X2,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_815]) ).

cnf(c_0_1186_1187,plain,
    ( X1 = X3
    | ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_816]) ).

cnf(c_0_1187_1188,plain,
    ( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_817]) ).

cnf(c_0_1188_1189,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_818]) ).

cnf(c_0_1189_1190,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_819]) ).

cnf(c_0_1190_1191,plain,
    ( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_820]) ).

cnf(c_0_1191_1192,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_821]) ).

cnf(c_0_1192_1193,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_822]) ).

cnf(c_0_1193_1194,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_823]) ).

cnf(c_0_1194_1195,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_824]) ).

cnf(c_0_1195_1196,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X4,X3),X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_825]) ).

cnf(c_0_1196_1197,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_in(X1,c_List_Oset(c_List_Oappend(X4,c_List_Olist_OCons(X1,X2,X3),X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_826]) ).

cnf(c_0_1197_1198,plain,
    ( X2 = c_Message_Oagent_OSpy
    | c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_827]) ).

cnf(c_0_1198_1199,plain,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_828]) ).

cnf(c_0_1199_1200,plain,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_829]) ).

cnf(c_0_1200_1201,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_830]) ).

cnf(c_0_1201_1202,plain,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_831]) ).

cnf(c_0_1202_1203,plain,
    ( c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1203_1204,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_833]) ).

cnf(c_0_1204_1205,plain,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1205_1206,plain,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_835]) ).

cnf(c_0_1206_1207,plain,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_836]) ).

cnf(c_0_1207_1208,plain,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_837]) ).

cnf(c_0_1208_1209,plain,
    ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_838]) ).

cnf(c_0_1209_1210,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_839]) ).

cnf(c_0_1210_1211,plain,
    ( c_in(hAPP(c_Message_OinvKey,X1),c_Set_Oimage(c_Message_OinvKey,X2,tc_nat,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_840]) ).

cnf(c_0_1211_1212,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_841]) ).

cnf(c_0_1212_1213,plain,
    ( c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_842]) ).

cnf(c_0_1213_1214,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_843]) ).

cnf(c_0_1214_1215,plain,
    ( c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_844]) ).

cnf(c_0_1215_1216,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_845]) ).

cnf(c_0_1216_1217,plain,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_846]) ).

cnf(c_0_1217_1218,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_847]) ).

cnf(c_0_1218_1219,plain,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_848]) ).

cnf(c_0_1219_1220,plain,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_849]) ).

cnf(c_0_1220_1221,plain,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_850]) ).

cnf(c_0_1221_1222,plain,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_851]) ).

cnf(c_0_1222_1223,plain,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_852]) ).

cnf(c_0_1223_1224,plain,
    ( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_853]) ).

cnf(c_0_1224_1225,plain,
    ( X1 = X2
    | c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_854]) ).

cnf(c_0_1225_1226,plain,
    ( X1 = X2
    | c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_855]) ).

cnf(c_0_1226_1227,plain,
    ( X1 = X2
    | c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_856]) ).

cnf(c_0_1227_1228,plain,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_857]) ).

cnf(c_0_1228_1229,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_858]) ).

cnf(c_0_1229_1230,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_859]) ).

cnf(c_0_1230_1231,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_860]) ).

cnf(c_0_1231_1232,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_861]) ).

cnf(c_0_1232_1233,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_862]) ).

cnf(c_0_1233_1234,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_863]) ).

cnf(c_0_1234_1235,plain,
    ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_864]) ).

cnf(c_0_1235_1236,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_865]) ).

cnf(c_0_1236_1237,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_866]) ).

cnf(c_0_1237_1238,plain,
    ( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_867]) ).

cnf(c_0_1238_1239,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_868]) ).

cnf(c_0_1239_1240,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_869]) ).

cnf(c_0_1240_1241,plain,
    ( c_in(X1,X2,X4)
    | c_in(X1,X3,X4)
    | ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_870]) ).

cnf(c_0_1241_1242,plain,
    ( c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_871]) ).

cnf(c_0_1242_1243,plain,
    ( c_in(X2,X1,X4)
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_872]) ).

cnf(c_0_1243_1244,plain,
    ( c_in(X1,X2,X3)
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_873]) ).

cnf(c_0_1244_1245,plain,
    ( X1 = X2
    | ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_874]) ).

cnf(c_0_1245_1246,plain,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_875]) ).

cnf(c_0_1246_1247,plain,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_876]) ).

cnf(c_0_1247_1248,plain,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_877]) ).

cnf(c_0_1248_1249,plain,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_878]) ).

cnf(c_0_1249_1250,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_879]) ).

cnf(c_0_1250_1251,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_880]) ).

cnf(c_0_1251_1252,plain,
    ( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_881]) ).

cnf(c_0_1252_1253,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_882]) ).

cnf(c_0_1253_1254,plain,
    ( c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_883]) ).

cnf(c_0_1254_1255,plain,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_884]) ).

cnf(c_0_1255_1256,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_885]) ).

cnf(c_0_1256_1257,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_886]) ).

cnf(c_0_1257_1258,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_887]) ).

cnf(c_0_1258_1259,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X2),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_888]) ).

cnf(c_0_1259_1260,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_889]) ).

cnf(c_0_1260_1261,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_890]) ).

cnf(c_0_1261_1262,plain,
    ( c_in(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_891]) ).

cnf(c_0_1262_1263,plain,
    ( c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_892]) ).

cnf(c_0_1263_1264,plain,
    ( c_in(X1,X2,X3)
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_893]) ).

cnf(c_0_1264_1265,plain,
    ( c_in(X1,X2,X3)
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_894]) ).

cnf(c_0_1265_1266,plain,
    ( c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_895]) ).

cnf(c_0_1266_1267,plain,
    ( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_896]) ).

cnf(c_0_1267_1268,plain,
    ( c_in(X3,c_Event_Oused(X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_897]) ).

cnf(c_0_1268_1269,plain,
    ( c_in(X1,X4,X3)
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_898]) ).

cnf(c_0_1269_1270,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_899]) ).

cnf(c_0_1270_1271,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_900]) ).

cnf(c_0_1271_1272,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_901]) ).

cnf(c_0_1272_1273,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_902]) ).

cnf(c_0_1273_1274,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_903]) ).

cnf(c_0_1274_1275,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_904]) ).

cnf(c_0_1275_1276,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_905]) ).

cnf(c_0_1276_1277,plain,
    ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_906]) ).

cnf(c_0_1277_1278,plain,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_907]) ).

cnf(c_0_1278_1279,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_908]) ).

cnf(c_0_1279_1280,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_909]) ).

cnf(c_0_1280,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_910]) ).

cnf(c_0_1281,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_911]) ).

cnf(c_0_1282,plain,
    ( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))
    | c_Message_Oanalz(X1) != c_Message_Oanalz(X3)
    | c_Message_Oanalz(X2) != c_Message_Oanalz(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_912]) ).

cnf(c_0_1283,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_913]) ).

cnf(c_0_1284,plain,
    ( c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) = c_Message_Oanalz(X3)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_1285,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_915]) ).

cnf(c_0_1286,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_916]) ).

cnf(c_0_1287,plain,
    ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_917]) ).

cnf(c_0_1288,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_918]) ).

cnf(c_0_1289,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_919]) ).

cnf(c_0_1290,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_920]) ).

cnf(c_0_1291,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_921]) ).

cnf(c_0_1292,plain,
    ( X1 = X2
    | c_in(X1,X3,X4)
    | ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_922]) ).

cnf(c_0_1293,plain,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat)
    | c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_923]) ).

cnf(c_0_1294,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_924]) ).

cnf(c_0_1295,plain,
    ( c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_925]) ).

cnf(c_0_1296,plain,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_926]) ).

cnf(c_0_1297,plain,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_927]) ).

cnf(c_0_1298,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_928]) ).

cnf(c_0_1299,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_929]) ).

cnf(c_0_1300,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_930]) ).

cnf(c_0_1301,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_931]) ).

cnf(c_0_1302,plain,
    ( ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_932]) ).

cnf(c_0_1303,plain,
    ( X1 = X2
    | c_in(X3,X1,X4)
    | c_in(X3,X2,X4)
    | c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_933]) ).

cnf(c_0_1304,plain,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_934]) ).

cnf(c_0_1305,plain,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_935]) ).

cnf(c_0_1306,plain,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Osynth(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_936]) ).

cnf(c_0_1307,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_937]) ).

cnf(c_0_1308,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_938]) ).

cnf(c_0_1309,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_939]) ).

cnf(c_0_1310,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_940]) ).

cnf(c_0_1311,plain,
    ( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_941]) ).

cnf(c_0_1312,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_942]) ).

cnf(c_0_1313,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_943]) ).

cnf(c_0_1314,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_944]) ).

cnf(c_0_1315,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_945]) ).

cnf(c_0_1316,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_946]) ).

cnf(c_0_1317,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_947]) ).

cnf(c_0_1318,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_948]) ).

cnf(c_0_1319,plain,
    ( X1 = c_Message_Oagent_OSpy
    | c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_949]) ).

cnf(c_0_1320,plain,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_950]) ).

cnf(c_0_1321,plain,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_951]) ).

cnf(c_0_1322,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_952]) ).

cnf(c_0_1323,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_953]) ).

cnf(c_0_1324,plain,
    ( X1 = c_Message_Oagent_OSpy
    | c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_954]) ).

cnf(c_0_1325,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_955]) ).

cnf(c_0_1326,plain,
    ( c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_956]) ).

cnf(c_0_1327,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_957]) ).

cnf(c_0_1328,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_958]) ).

cnf(c_0_1329,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_959]) ).

cnf(c_0_1330,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_960]) ).

cnf(c_0_1331,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_961]) ).

cnf(c_0_1332,plain,
    ( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg))
    | c_Message_Oanalz(X2) != c_Message_Oanalz(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_962]) ).

cnf(c_0_1333,plain,
    ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_963]) ).

cnf(c_0_1334,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_964]) ).

cnf(c_0_1335,plain,
    ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_965]) ).

cnf(c_0_1336,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_966]) ).

cnf(c_0_1337,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_967]) ).

cnf(c_0_1338,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_968]) ).

cnf(c_0_1339,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_969]) ).

cnf(c_0_1340,plain,
    ( c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_970]) ).

cnf(c_0_1341,plain,
    ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_971]) ).

cnf(c_0_1342,plain,
    ( c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_972]) ).

cnf(c_0_1343,plain,
    ( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_973]) ).

cnf(c_0_1344,plain,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_974]) ).

cnf(c_0_1345,plain,
    ( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ hBOOL(hAPP(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_975]) ).

cnf(c_0_1346,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_976]) ).

cnf(c_0_1347,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_977]) ).

cnf(c_0_1348,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_978]) ).

cnf(c_0_1349,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_979]) ).

cnf(c_0_1350,plain,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_980]) ).

cnf(c_0_1351,plain,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_981]) ).

cnf(c_0_1352,plain,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_982]) ).

cnf(c_0_1353,plain,
    ( c_in(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X3),tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_983]) ).

cnf(c_0_1354,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_984]) ).

cnf(c_0_1355,plain,
    ( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_985]) ).

cnf(c_0_1356,plain,
    ( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_986]) ).

cnf(c_0_1357,plain,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_987]) ).

cnf(c_0_1358,plain,
    ( c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_988]) ).

cnf(c_0_1359,plain,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_989]) ).

cnf(c_0_1360,plain,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_990]) ).

cnf(c_0_1361,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_991]) ).

cnf(c_0_1362,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_992]) ).

cnf(c_0_1363,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_993]) ).

cnf(c_0_1364,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1365,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_995]) ).

cnf(c_0_1366,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_996]) ).

cnf(c_0_1367,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_997]) ).

cnf(c_0_1368,plain,
    ( hBOOL(hAPP(X3,X1))
    | ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_998]) ).

cnf(c_0_1369,plain,
    ( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_999]) ).

cnf(c_0_1370,plain,
    ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1000]) ).

cnf(c_0_1371,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1001]) ).

cnf(c_0_1372,plain,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1002]) ).

cnf(c_0_1373,plain,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1003]) ).

cnf(c_0_1374,plain,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1004]) ).

cnf(c_0_1375,plain,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1005]) ).

cnf(c_0_1376,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1006]) ).

cnf(c_0_1377,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1007]) ).

cnf(c_0_1378,plain,
    ( c_in(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1008]) ).

cnf(c_0_1379,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1009]) ).

cnf(c_0_1380,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1010]) ).

cnf(c_0_1381,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1011]) ).

cnf(c_0_1382,plain,
    ( c_in(X1,X2,X3)
    | c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1012]) ).

cnf(c_0_1383,plain,
    ( X1 = X2
    | c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1013]) ).

cnf(c_0_1384,plain,
    ( X1 = X2
    | c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1014]) ).

cnf(c_0_1385,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1015]) ).

cnf(c_0_1386,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1016]) ).

cnf(c_0_1387,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1017]) ).

cnf(c_0_1388,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1018]) ).

cnf(c_0_1389,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1019]) ).

cnf(c_0_1390,plain,
    ( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1020]) ).

cnf(c_0_1391,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1021]) ).

cnf(c_0_1392,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1022]) ).

cnf(c_0_1393,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1023]) ).

cnf(c_0_1394,plain,
    ( c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(hAPP(c_Message_OinvKey,X1),c_Message_OsymKeys,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1024]) ).

cnf(c_0_1395,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1025]) ).

cnf(c_0_1396,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1026]) ).

cnf(c_0_1397,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1027]) ).

cnf(c_0_1398,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1028]) ).

cnf(c_0_1399,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1029]) ).

cnf(c_0_1400,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1030]) ).

cnf(c_0_1401,plain,
    ( c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1031]) ).

cnf(c_0_1402,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1032]) ).

cnf(c_0_1403,plain,
    ( c_in(hAPP(c_Message_OinvKey,X1),c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1033]) ).

cnf(c_0_1404,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1034]) ).

cnf(c_0_1405,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1035]) ).

cnf(c_0_1406,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1036]) ).

cnf(c_0_1407,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1037]) ).

cnf(c_0_1408,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1038]) ).

cnf(c_0_1409,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1039]) ).

cnf(c_0_1410,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1040]) ).

cnf(c_0_1411,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1041]) ).

cnf(c_0_1412,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_1042]) ).

cnf(c_0_1413,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1043]) ).

cnf(c_0_1414,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1044]) ).

cnf(c_0_1415,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1045]) ).

cnf(c_0_1416,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
    | ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption)) ),
    inference(split_conjunct,[status(thm)],[c_0_1046]) ).

cnf(c_0_1417,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1418,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1419,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1049]) ).

cnf(c_0_1420,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1050]) ).

cnf(c_0_1421,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1051]) ).

cnf(c_0_1422,plain,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1052]) ).

cnf(c_0_1423,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1053]) ).

cnf(c_0_1424,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1054]) ).

cnf(c_0_1425,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_ONil(X2) != c_List_Oappend(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1055]) ).

cnf(c_0_1426,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_ONil(X2) != c_List_Oappend(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1056]) ).

cnf(c_0_1427,plain,
    ( hAPP(c_Message_OinvKey,X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1057]) ).

cnf(c_0_1428,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | X3 != c_List_Oappend(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1058]) ).

cnf(c_0_1429,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1059]) ).

cnf(c_0_1430,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | X3 != c_List_Oappend(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1060]) ).

cnf(c_0_1431,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1061]) ).

cnf(c_0_1432,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1062]) ).

cnf(c_0_1433,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1063]) ).

cnf(c_0_1434,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1064]) ).

cnf(c_0_1435,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1065]) ).

cnf(c_0_1436,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1066]) ).

cnf(c_0_1437,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_List_Oset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1067]) ).

cnf(c_0_1438,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oset(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1068]) ).

cnf(c_0_1439,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1069]) ).

cnf(c_0_1440,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1070]) ).

cnf(c_0_1441,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1071]) ).

cnf(c_0_1442,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1072]) ).

cnf(c_0_1443,plain,
    ( X1 = X2
    | hAPP(c_Public_OpublicKey(X1),X3) != hAPP(c_Public_OpublicKey(X2),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1073]) ).

cnf(c_0_1444,plain,
    ( X1 = X2
    | hAPP(c_Public_OpublicKey(X3),X1) != hAPP(c_Public_OpublicKey(X4),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1074]) ).

cnf(c_0_1445,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1075]) ).

cnf(c_0_1446,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1076]) ).

cnf(c_0_1447,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1077]) ).

cnf(c_0_1448,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1078]) ).

cnf(c_0_1449,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1079]) ).

cnf(c_0_1450,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1080]) ).

cnf(c_0_1451,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1081]) ).

cnf(c_0_1452,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1082]) ).

cnf(c_0_1453,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1083]) ).

cnf(c_0_1454,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1455,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1085]) ).

cnf(c_0_1456,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1086]) ).

cnf(c_0_1457,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1087]) ).

cnf(c_0_1458,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1088]) ).

cnf(c_0_1459,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1089]) ).

cnf(c_0_1460,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1090]) ).

cnf(c_0_1461,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1091]) ).

cnf(c_0_1462,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1092]) ).

cnf(c_0_1463,plain,
    ( X1 = X2
    | hAPP(c_Message_OinvKey,X1) != hAPP(c_Message_OinvKey,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1093]) ).

cnf(c_0_1464,plain,
    ( X1 = X2
    | hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1094]) ).

cnf(c_0_1465,plain,
    ( X1 = X2
    | hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1095]) ).

cnf(c_0_1466,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1096]) ).

cnf(c_0_1467,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1097]) ).

cnf(c_0_1468,plain,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1098]) ).

cnf(c_0_1469,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1099]) ).

cnf(c_0_1470,plain,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1100]) ).

cnf(c_0_1471,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1101]) ).

cnf(c_0_1472,plain,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1102]) ).

cnf(c_0_1473,plain,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1103]) ).

cnf(c_0_1474,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1104]) ).

cnf(c_0_1475,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1105]) ).

cnf(c_0_1476,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1106]) ).

cnf(c_0_1477,plain,
    ( X1 = X2
    | c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1107]) ).

cnf(c_0_1478,plain,
    ( X1 = X2
    | c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1108]) ).

cnf(c_0_1479,plain,
    ( X1 = X2
    | c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1109]) ).

cnf(c_0_1480,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1110,
    [final] ).

cnf(c_0_1481,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1111,
    [final] ).

cnf(c_0_1482,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(X3,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    c_0_1112,
    [final] ).

cnf(c_0_1483,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    c_0_1113,
    [final] ).

cnf(c_0_1484,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1114,
    [final] ).

cnf(c_0_1485,plain,
    ( c_in(X3,X2,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    c_0_1115,
    [final] ).

cnf(c_0_1486,plain,
    ( X5 = X10
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1116,
    [final] ).

cnf(c_0_1487,plain,
    ( X3 = X9
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1117,
    [final] ).

cnf(c_0_1488,plain,
    ( X2 = X8
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1118,
    [final] ).

cnf(c_0_1489,plain,
    ( X1 = X7
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1119,
    [final] ).

cnf(c_0_1490,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_1120,
    [final] ).

cnf(c_0_1491,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    c_0_1121,
    [final] ).

cnf(c_0_1492,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat) ),
    c_0_1122,
    [final] ).

cnf(c_0_1493,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(X3,X2,tc_nat) ),
    c_0_1123,
    [final] ).

cnf(c_0_1494,plain,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1124,
    [final] ).

cnf(c_0_1495,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
    c_0_1125,
    [final] ).

cnf(c_0_1496,plain,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1126,
    [final] ).

cnf(c_0_1497,plain,
    ( 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(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1127,
    [final] ).

cnf(c_0_1498,plain,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1128,
    [final] ).

cnf(c_0_1499,plain,
    ( X2 = c_Message_Oagent_OServer
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1129,
    [final] ).

cnf(c_0_1500,plain,
    ( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    c_0_1130,
    [final] ).

cnf(c_0_1501,plain,
    ( X2 = c_Message_Oagent_OServer
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1131,
    [final] ).

cnf(c_0_1502,plain,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    c_0_1132,
    [final] ).

cnf(c_0_1503,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    c_0_1133,
    [final] ).

cnf(c_0_1504,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    c_0_1134,
    [final] ).

cnf(c_0_1505,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1135,
    [final] ).

cnf(c_0_1506,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1136,
    [final] ).

cnf(c_0_1507,plain,
    ( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2)))
    | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1137,
    [final] ).

cnf(c_0_1508,plain,
    ( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X1)))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1138,
    [final] ).

cnf(c_0_1509,plain,
    ( X2 = hAPP(c_Public_OshrK,X1)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1139,
    [final] ).

cnf(c_0_1510,plain,
    ( c_in(X3,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
    c_0_1140,
    [final] ).

cnf(c_0_1511,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    c_0_1141,
    [final] ).

cnf(c_0_1512,plain,
    ( c_in(X2,X4,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    c_0_1142,
    [final] ).

cnf(c_0_1513,plain,
    ( X1 = X3
    | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    c_0_1143,
    [final] ).

cnf(c_0_1514,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_1144,
    [final] ).

cnf(c_0_1515,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X3,tc_nat) ),
    c_0_1145,
    [final] ).

cnf(c_0_1516,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1146,
    [final] ).

cnf(c_0_1517,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat) ),
    c_0_1147,
    [final] ).

cnf(c_0_1518,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1148,
    [final] ).

cnf(c_0_1519,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1149,
    [final] ).

cnf(c_0_1520,plain,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4)))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1150,
    [final] ).

cnf(c_0_1521,plain,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4)))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1151,
    [final] ).

cnf(c_0_1522,plain,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1152,
    [final] ).

cnf(c_0_1523,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1153,
    [final] ).

cnf(c_0_1524,plain,
    ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1154,
    [final] ).

cnf(c_0_1525,plain,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4)))
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_List_Oset(c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1155,
    [final] ).

cnf(c_0_1526,plain,
    ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1156,
    [final] ).

cnf(c_0_1527,plain,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4)))
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),c_List_Oset(c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1157,
    [final] ).

cnf(c_0_1528,plain,
    ( c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1158,
    [final] ).

cnf(c_0_1529,plain,
    ( c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X3),X1)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_Message_Oagent) ),
    c_0_1159,
    [final] ).

cnf(c_0_1530,plain,
    ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),c_List_Oset(c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1160,
    [final] ).

cnf(c_0_1531,plain,
    ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_List_Oset(c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1161,
    [final] ).

cnf(c_0_1532,plain,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1162,
    [final] ).

cnf(c_0_1533,plain,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oparts(X4),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
    c_0_1163,
    [final] ).

cnf(c_0_1534,plain,
    ( c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,X7))))),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1164,
    [final] ).

cnf(c_0_1535,plain,
    ( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | X3 = X2
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
    c_0_1165,
    [final] ).

cnf(c_0_1536,plain,
    ( c_in(c_Event_Oevent_OSays(X1,X2,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
    c_0_1166,
    [final] ).

cnf(c_0_1537,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X5,tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    c_0_1167,
    [final] ).

cnf(c_0_1538,plain,
    ( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    c_0_1168,
    [final] ).

cnf(c_0_1539,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1169,
    [final] ).

cnf(c_0_1540,plain,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1170,
    [final] ).

cnf(c_0_1541,plain,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    c_0_1171,
    [final] ).

cnf(c_0_1542,plain,
    ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_1172,
    [final] ).

cnf(c_0_1543,plain,
    ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1173,
    [final] ).

cnf(c_0_1544,plain,
    ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1174,
    [final] ).

cnf(c_0_1545,plain,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1175,
    [final] ).

cnf(c_0_1546,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    c_0_1176,
    [final] ).

cnf(c_0_1547,plain,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_1177,
    [final] ).

cnf(c_0_1548,plain,
    ( c_in(hAPP(X1,X6),X5,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_in(X6,X2,X3) ),
    c_0_1178,
    [final] ).

cnf(c_0_1549,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_1179,
    [final] ).

cnf(c_0_1550,plain,
    ( c_in(X2,X4,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
    c_0_1180,
    [final] ).

cnf(c_0_1551,plain,
    ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1181,
    [final] ).

cnf(c_0_1552,plain,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1) ),
    c_0_1182,
    [final] ).

cnf(c_0_1553,plain,
    ( c_in(X1,X2,tc_nat)
    | ~ c_in(hAPP(c_Message_OinvKey,X1),c_Set_Oimage(c_Message_OinvKey,X2,tc_nat,tc_nat),tc_nat) ),
    c_0_1183,
    [final] ).

cnf(c_0_1554,plain,
    ( c_in(X1,X2,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
    c_0_1184,
    [final] ).

cnf(c_0_1555,plain,
    ( c_in(X1,X2,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat) ),
    c_0_1185,
    [final] ).

cnf(c_0_1556,plain,
    ( X1 = X3
    | ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
    c_0_1186,
    [final] ).

cnf(c_0_1557,plain,
    ( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
    | ~ c_in(X1,X2,X3) ),
    c_0_1187,
    [final] ).

cnf(c_0_1558,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    c_0_1188,
    [final] ).

cnf(c_0_1559,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    c_0_1189,
    [final] ).

cnf(c_0_1560,plain,
    ( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
    c_0_1190,
    [final] ).

cnf(c_0_1561,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    c_0_1191,
    [final] ).

cnf(c_0_1562,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    c_0_1192,
    [final] ).

cnf(c_0_1563,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    c_0_1193,
    [final] ).

cnf(c_0_1564,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    c_0_1194,
    [final] ).

cnf(c_0_1565,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X4,X3),X3),X3),X3) ),
    c_0_1195,
    [final] ).

cnf(c_0_1566,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_in(X1,c_List_Oset(c_List_Oappend(X4,c_List_Olist_OCons(X1,X2,X3),X3),X3),X3) ),
    c_0_1196,
    [final] ).

cnf(c_0_1567,plain,
    ( X2 = c_Message_Oagent_OSpy
    | c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
    c_0_1197,
    [final] ).

cnf(c_0_1568,plain,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_1198,
    [final] ).

cnf(c_0_1569,plain,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_1199,
    [final] ).

cnf(c_0_1570,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    c_0_1200,
    [final] ).

cnf(c_0_1571,plain,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
    c_0_1201,
    [final] ).

cnf(c_0_1572,plain,
    ( c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_Message_Oagent) ),
    c_0_1202,
    [final] ).

cnf(c_0_1573,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    c_0_1203,
    [final] ).

cnf(c_0_1574,plain,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    c_0_1204,
    [final] ).

cnf(c_0_1575,plain,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    c_0_1205,
    [final] ).

cnf(c_0_1576,plain,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    c_0_1206,
    [final] ).

cnf(c_0_1577,plain,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    c_0_1207,
    [final] ).

cnf(c_0_1578,plain,
    ( c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1208,
    [final] ).

cnf(c_0_1579,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_1209,
    [final] ).

cnf(c_0_1580,plain,
    ( c_in(hAPP(c_Message_OinvKey,X1),c_Set_Oimage(c_Message_OinvKey,X2,tc_nat,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_nat) ),
    c_0_1210,
    [final] ).

cnf(c_0_1581,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat) ),
    c_0_1211,
    [final] ).

cnf(c_0_1582,plain,
    ( c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_Message_Oagent) ),
    c_0_1212,
    [final] ).

cnf(c_0_1583,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    c_0_1213,
    [final] ).

cnf(c_0_1584,plain,
    ( c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    c_0_1214,
    [final] ).

cnf(c_0_1585,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_1215,
    [final] ).

cnf(c_0_1586,plain,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_1216,
    [final] ).

cnf(c_0_1587,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    c_0_1217,
    [final] ).

cnf(c_0_1588,plain,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    c_0_1218,
    [final] ).

cnf(c_0_1589,plain,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
    c_0_1219,
    [final] ).

cnf(c_0_1590,plain,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_1220,
    [final] ).

cnf(c_0_1591,plain,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_1221,
    [final] ).

cnf(c_0_1592,plain,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    c_0_1222,
    [final] ).

cnf(c_0_1593,plain,
    ( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_1223,
    [final] ).

cnf(c_0_1594,plain,
    ( X1 = X2
    | c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
    c_0_1224,
    [final] ).

cnf(c_0_1595,plain,
    ( X1 = X2
    | c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
    c_0_1225,
    [final] ).

cnf(c_0_1596,plain,
    ( X1 = X2
    | c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4) ),
    c_0_1226,
    [final] ).

cnf(c_0_1597,plain,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_1227,
    [final] ).

cnf(c_0_1598,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_1228,
    [final] ).

cnf(c_0_1599,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
    c_0_1229,
    [final] ).

cnf(c_0_1600,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ),
    c_0_1230,
    [final] ).

cnf(c_0_1601,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_1231,
    [final] ).

cnf(c_0_1602,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_1232,
    [final] ).

cnf(c_0_1603,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_1233,
    [final] ).

cnf(c_0_1604,plain,
    ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_1234,
    [final] ).

cnf(c_0_1605,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_1235,
    [final] ).

cnf(c_0_1606,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    c_0_1236,
    [final] ).

cnf(c_0_1607,plain,
    ( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1237,
    [final] ).

cnf(c_0_1608,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    c_0_1238,
    [final] ).

cnf(c_0_1609,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    c_0_1239,
    [final] ).

cnf(c_0_1610,plain,
    ( c_in(X1,X2,X4)
    | c_in(X1,X3,X4)
    | ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
    c_0_1240,
    [final] ).

cnf(c_0_1611,plain,
    ( c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    c_0_1241,
    [final] ).

cnf(c_0_1612,plain,
    ( c_in(X2,X1,X4)
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    c_0_1242,
    [final] ).

cnf(c_0_1613,plain,
    ( c_in(X1,X2,X3)
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
    c_0_1243,
    [final] ).

cnf(c_0_1614,plain,
    ( X1 = X2
    | ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    c_0_1244,
    [final] ).

cnf(c_0_1615,plain,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    c_0_1245,
    [final] ).

cnf(c_0_1616,plain,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    c_0_1246,
    [final] ).

cnf(c_0_1617,plain,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    c_0_1247,
    [final] ).

cnf(c_0_1618,plain,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1248,
    [final] ).

cnf(c_0_1619,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_1249,
    [final] ).

cnf(c_0_1620,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_1250,
    [final] ).

cnf(c_0_1621,plain,
    ( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_1251,
    [final] ).

cnf(c_0_1622,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_1252,
    [final] ).

cnf(c_0_1623,plain,
    ( c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1253,
    [final] ).

cnf(c_0_1624,plain,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1254,
    [final] ).

cnf(c_0_1625,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1255,
    [final] ).

cnf(c_0_1626,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1256,
    [final] ).

cnf(c_0_1627,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1257,
    [final] ).

cnf(c_0_1628,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X2),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_1258,
    [final] ).

cnf(c_0_1629,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1259,
    [final] ).

cnf(c_0_1630,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    c_0_1260,
    [final] ).

cnf(c_0_1631,plain,
    ( c_in(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1261,
    [final] ).

cnf(c_0_1632,plain,
    ( c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1262,
    [final] ).

cnf(c_0_1633,plain,
    ( c_in(X1,X2,X3)
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1263,
    [final] ).

cnf(c_0_1634,plain,
    ( c_in(X1,X2,X3)
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1264,
    [final] ).

cnf(c_0_1635,plain,
    ( c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1265,
    [final] ).

cnf(c_0_1636,plain,
    ( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_1266,
    [final] ).

cnf(c_0_1637,plain,
    ( c_in(X3,c_Event_Oused(X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1267,
    [final] ).

cnf(c_0_1638,plain,
    ( c_in(X1,X4,X3)
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    c_0_1268,
    [final] ).

cnf(c_0_1639,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    c_0_1269,
    [final] ).

cnf(c_0_1640,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    c_0_1270,
    [final] ).

cnf(c_0_1641,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1271,
    [final] ).

cnf(c_0_1642,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1272,
    [final] ).

cnf(c_0_1643,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1273,
    [final] ).

cnf(c_0_1644,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1274,
    [final] ).

cnf(c_0_1645,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1275,
    [final] ).

cnf(c_0_1646,plain,
    ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_1276,
    [final] ).

cnf(c_0_1647,plain,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    c_0_1277,
    [final] ).

cnf(c_0_1648,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1278,
    [final] ).

cnf(c_0_1649,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    c_0_1279,
    [final] ).

cnf(c_0_1650,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    c_0_1280,
    [final] ).

cnf(c_0_1651,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1281,
    [final] ).

cnf(c_0_1652,plain,
    ( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))
    | c_Message_Oanalz(X1) != c_Message_Oanalz(X3)
    | c_Message_Oanalz(X2) != c_Message_Oanalz(X4) ),
    c_0_1282,
    [final] ).

cnf(c_0_1653,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_1283,
    [final] ).

cnf(c_0_1654,plain,
    ( c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) = c_Message_Oanalz(X3)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1284,
    [final] ).

cnf(c_0_1655,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_1285,
    [final] ).

cnf(c_0_1656,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1286,
    [final] ).

cnf(c_0_1657,plain,
    ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_1287,
    [final] ).

cnf(c_0_1658,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1288,
    [final] ).

cnf(c_0_1659,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1289,
    [final] ).

cnf(c_0_1660,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1290,
    [final] ).

cnf(c_0_1661,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1291,
    [final] ).

cnf(c_0_1662,plain,
    ( X1 = X2
    | c_in(X1,X3,X4)
    | ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
    c_0_1292,
    [final] ).

cnf(c_0_1663,plain,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat)
    | c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1293,
    [final] ).

cnf(c_0_1664,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1294,
    [final] ).

cnf(c_0_1665,plain,
    ( c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),X2,tc_Message_Omsg) ),
    c_0_1295,
    [final] ).

cnf(c_0_1666,plain,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X2,X3) ),
    c_0_1296,
    [final] ).

cnf(c_0_1667,plain,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X2,X3) ),
    c_0_1297,
    [final] ).

cnf(c_0_1668,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1298,
    [final] ).

cnf(c_0_1669,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_1299,
    [final] ).

cnf(c_0_1670,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_1300,
    [final] ).

cnf(c_0_1671,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
    c_0_1301,
    [final] ).

cnf(c_0_1672,plain,
    ( ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X2,X3) ),
    c_0_1302,
    [final] ).

cnf(c_0_1673,plain,
    ( X1 = X2
    | c_in(X3,X1,X4)
    | c_in(X3,X2,X4)
    | c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
    c_0_1303,
    [final] ).

cnf(c_0_1674,plain,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1304,
    [final] ).

cnf(c_0_1675,plain,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1305,
    [final] ).

cnf(c_0_1676,plain,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Osynth(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1306,
    [final] ).

cnf(c_0_1677,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_1307,
    [final] ).

cnf(c_0_1678,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_1308,
    [final] ).

cnf(c_0_1679,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_1309,
    [final] ).

cnf(c_0_1680,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_1310,
    [final] ).

cnf(c_0_1681,plain,
    ( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    c_0_1311,
    [final] ).

cnf(c_0_1682,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    c_0_1312,
    [final] ).

cnf(c_0_1683,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1313,
    [final] ).

cnf(c_0_1684,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    c_0_1314,
    [final] ).

cnf(c_0_1685,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    c_0_1315,
    [final] ).

cnf(c_0_1686,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    c_0_1316,
    [final] ).

cnf(c_0_1687,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1317,
    [final] ).

cnf(c_0_1688,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1318,
    [final] ).

cnf(c_0_1689,plain,
    ( X1 = c_Message_Oagent_OSpy
    | c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
    c_0_1319,
    [final] ).

cnf(c_0_1690,plain,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    c_0_1320,
    [final] ).

cnf(c_0_1691,plain,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    c_0_1321,
    [final] ).

cnf(c_0_1692,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_1322,
    [final] ).

cnf(c_0_1693,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_1323,
    [final] ).

cnf(c_0_1694,plain,
    ( X1 = c_Message_Oagent_OSpy
    | c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1324,
    [final] ).

cnf(c_0_1695,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    c_0_1325,
    [final] ).

cnf(c_0_1696,plain,
    ( c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1326,
    [final] ).

cnf(c_0_1697,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1327,
    [final] ).

cnf(c_0_1698,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1328,
    [final] ).

cnf(c_0_1699,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
    c_0_1329,
    [final] ).

cnf(c_0_1700,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    c_0_1330,
    [final] ).

cnf(c_0_1701,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1331,
    [final] ).

cnf(c_0_1702,plain,
    ( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg))
    | c_Message_Oanalz(X2) != c_Message_Oanalz(X3) ),
    c_0_1332,
    [final] ).

cnf(c_0_1703,plain,
    ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1333,
    [final] ).

cnf(c_0_1704,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_1334,
    [final] ).

cnf(c_0_1705,plain,
    ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_1335,
    [final] ).

cnf(c_0_1706,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_1336,
    [final] ).

cnf(c_0_1707,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    c_0_1337,
    [final] ).

cnf(c_0_1708,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1338,
    [final] ).

cnf(c_0_1709,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1339,
    [final] ).

cnf(c_0_1710,plain,
    ( c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_1340,
    [final] ).

cnf(c_0_1711,plain,
    ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_1341,
    [final] ).

cnf(c_0_1712,plain,
    ( c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1342,
    [final] ).

cnf(c_0_1713,plain,
    ( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1343,
    [final] ).

cnf(c_0_1714,plain,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1344,
    [final] ).

cnf(c_0_1715,plain,
    ( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ hBOOL(hAPP(X3,X1)) ),
    c_0_1345,
    [final] ).

cnf(c_0_1716,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1346,
    [final] ).

cnf(c_0_1717,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1347,
    [final] ).

cnf(c_0_1718,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1348,
    [final] ).

cnf(c_0_1719,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1349,
    [final] ).

cnf(c_0_1720,plain,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1350,
    [final] ).

cnf(c_0_1721,plain,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1351,
    [final] ).

cnf(c_0_1722,plain,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1352,
    [final] ).

cnf(c_0_1723,plain,
    ( c_in(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X3),tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
    c_0_1353,
    [final] ).

cnf(c_0_1724,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_1354,
    [final] ).

cnf(c_0_1725,plain,
    ( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1355,
    [final] ).

cnf(c_0_1726,plain,
    ( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_1356,
    [final] ).

cnf(c_0_1727,plain,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1357,
    [final] ).

cnf(c_0_1728,plain,
    ( c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1358,
    [final] ).

cnf(c_0_1729,plain,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1359,
    [final] ).

cnf(c_0_1730,plain,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_1360,
    [final] ).

cnf(c_0_1731,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
    c_0_1361,
    [final] ).

cnf(c_0_1732,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    c_0_1362,
    [final] ).

cnf(c_0_1733,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1363,
    [final] ).

cnf(c_0_1734,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1364,
    [final] ).

cnf(c_0_1735,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    c_0_1365,
    [final] ).

cnf(c_0_1736,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    c_0_1366,
    [final] ).

cnf(c_0_1737,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1367,
    [final] ).

cnf(c_0_1738,plain,
    ( hBOOL(hAPP(X3,X1))
    | ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    c_0_1368,
    [final] ).

cnf(c_0_1739,plain,
    ( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    c_0_1369,
    [final] ).

cnf(c_0_1740,plain,
    ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    c_0_1370,
    [final] ).

cnf(c_0_1741,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_1371,
    [final] ).

cnf(c_0_1742,plain,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_1372,
    [final] ).

cnf(c_0_1743,plain,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    c_0_1373,
    [final] ).

cnf(c_0_1744,plain,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    c_0_1374,
    [final] ).

cnf(c_0_1745,plain,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    c_0_1375,
    [final] ).

cnf(c_0_1746,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    c_0_1376,
    [final] ).

cnf(c_0_1747,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    c_0_1377,
    [final] ).

cnf(c_0_1748,plain,
    ( c_in(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_1378,
    [final] ).

cnf(c_0_1749,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1379,
    [final] ).

cnf(c_0_1750,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1380,
    [final] ).

cnf(c_0_1751,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1381,
    [final] ).

cnf(c_0_1752,plain,
    ( c_in(X1,X2,X3)
    | c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
    c_0_1382,
    [final] ).

cnf(c_0_1753,plain,
    ( X1 = X2
    | c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
    c_0_1383,
    [final] ).

cnf(c_0_1754,plain,
    ( X1 = X2
    | c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
    c_0_1384,
    [final] ).

cnf(c_0_1755,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    c_0_1385,
    [final] ).

cnf(c_0_1756,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    c_0_1386,
    [final] ).

cnf(c_0_1757,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
    c_0_1387,
    [final] ).

cnf(c_0_1758,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
    c_0_1388,
    [final] ).

cnf(c_0_1759,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
    c_0_1389,
    [final] ).

cnf(c_0_1760,plain,
    ( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg) ),
    c_0_1390,
    [final] ).

cnf(c_0_1761,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
    c_0_1391,
    [final] ).

cnf(c_0_1762,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
    c_0_1392,
    [final] ).

cnf(c_0_1763,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_1393,
    [final] ).

cnf(c_0_1764,plain,
    ( c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(hAPP(c_Message_OinvKey,X1),c_Message_OsymKeys,tc_nat) ),
    c_0_1394,
    [final] ).

cnf(c_0_1765,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1395,
    [final] ).

cnf(c_0_1766,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1396,
    [final] ).

cnf(c_0_1767,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1397,
    [final] ).

cnf(c_0_1768,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1398,
    [final] ).

cnf(c_0_1769,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_1399,
    [final] ).

cnf(c_0_1770,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_1400,
    [final] ).

cnf(c_0_1771,plain,
    ( c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_1401,
    [final] ).

cnf(c_0_1772,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    c_0_1402,
    [final] ).

cnf(c_0_1773,plain,
    ( c_in(hAPP(c_Message_OinvKey,X1),c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    c_0_1403,
    [final] ).

cnf(c_0_1774,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1404,
    [final] ).

cnf(c_0_1775,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1405,
    [final] ).

cnf(c_0_1776,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1406,
    [final] ).

cnf(c_0_1777,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1407,
    [final] ).

cnf(c_0_1778,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1408,
    [final] ).

cnf(c_0_1779,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1409,
    [final] ).

cnf(c_0_1780,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_1410,
    [final] ).

cnf(c_0_1781,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_1411,
    [final] ).

cnf(c_0_1782,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_1412,
    [final] ).

cnf(c_0_1783,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    c_0_1413,
    [final] ).

cnf(c_0_1784,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) ),
    c_0_1414,
    [final] ).

cnf(c_0_1785,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1415,
    [final] ).

cnf(c_0_1786,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
    | ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption)) ),
    c_0_1416,
    [final] ).

cnf(c_0_1787,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    c_0_1417,
    [final] ).

cnf(c_0_1788,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1418,
    [final] ).

cnf(c_0_1789,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1419,
    [final] ).

cnf(c_0_1790,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1420,
    [final] ).

cnf(c_0_1791,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1421,
    [final] ).

cnf(c_0_1792,plain,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1422,
    [final] ).

cnf(c_0_1793,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
    c_0_1423,
    [final] ).

cnf(c_0_1794,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    c_0_1424,
    [final] ).

cnf(c_0_1795,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
    c_0_1425,
    [final] ).

cnf(c_0_1796,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    c_0_1426,
    [final] ).

cnf(c_0_1797,plain,
    ( hAPP(c_Message_OinvKey,X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    c_0_1427,
    [final] ).

cnf(c_0_1798,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != X3 ),
    c_0_1428,
    [final] ).

cnf(c_0_1799,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != X3 ),
    c_0_1429,
    [final] ).

cnf(c_0_1800,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != X3 ),
    c_0_1430,
    [final] ).

cnf(c_0_1801,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != X3 ),
    c_0_1431,
    [final] ).

cnf(c_0_1802,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_1432,
    [final] ).

cnf(c_0_1803,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_1433,
    [final] ).

cnf(c_0_1804,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    c_0_1434,
    [final] ).

cnf(c_0_1805,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1435,
    [final] ).

cnf(c_0_1806,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1436,
    [final] ).

cnf(c_0_1807,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_List_Oset(X1,X2) ),
    c_0_1437,
    [final] ).

cnf(c_0_1808,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oset(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    c_0_1438,
    [final] ).

cnf(c_0_1809,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1439,
    [final] ).

cnf(c_0_1810,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1440,
    [final] ).

cnf(c_0_1811,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    c_0_1441,
    [final] ).

cnf(c_0_1812,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    c_0_1442,
    [final] ).

cnf(c_0_1813,plain,
    ( X1 = X2
    | hAPP(c_Public_OpublicKey(X1),X3) != hAPP(c_Public_OpublicKey(X2),X4) ),
    c_0_1443,
    [final] ).

cnf(c_0_1814,plain,
    ( X1 = X2
    | hAPP(c_Public_OpublicKey(X3),X1) != hAPP(c_Public_OpublicKey(X4),X2) ),
    c_0_1444,
    [final] ).

cnf(c_0_1815,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    c_0_1445,
    [final] ).

cnf(c_0_1816,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_1446,
    [final] ).

cnf(c_0_1817,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_1447,
    [final] ).

cnf(c_0_1818,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_1448,
    [final] ).

cnf(c_0_1819,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1449,
    [final] ).

cnf(c_0_1820,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1450,
    [final] ).

cnf(c_0_1821,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_1451,
    [final] ).

cnf(c_0_1822,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1452,
    [final] ).

cnf(c_0_1823,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1453,
    [final] ).

cnf(c_0_1824,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1454,
    [final] ).

cnf(c_0_1825,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
    c_0_1455,
    [final] ).

cnf(c_0_1826,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
    c_0_1456,
    [final] ).

cnf(c_0_1827,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
    c_0_1457,
    [final] ).

cnf(c_0_1828,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
    c_0_1458,
    [final] ).

cnf(c_0_1829,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
    c_0_1459,
    [final] ).

cnf(c_0_1830,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
    c_0_1460,
    [final] ).

cnf(c_0_1831,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
    c_0_1461,
    [final] ).

cnf(c_0_1832,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
    c_0_1462,
    [final] ).

cnf(c_0_1833,plain,
    ( X1 = X2
    | hAPP(c_Message_OinvKey,X1) != hAPP(c_Message_OinvKey,X2) ),
    c_0_1463,
    [final] ).

cnf(c_0_1834,plain,
    ( X1 = X2
    | hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2) ),
    c_0_1464,
    [final] ).

cnf(c_0_1835,plain,
    ( X1 = X2
    | hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2) ),
    c_0_1465,
    [final] ).

cnf(c_0_1836,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1466,
    [final] ).

cnf(c_0_1837,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1467,
    [final] ).

cnf(c_0_1838,plain,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_1468,
    [final] ).

cnf(c_0_1839,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_1469,
    [final] ).

cnf(c_0_1840,plain,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1470,
    [final] ).

cnf(c_0_1841,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    c_0_1471,
    [final] ).

cnf(c_0_1842,plain,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    c_0_1472,
    [final] ).

cnf(c_0_1843,plain,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    c_0_1473,
    [final] ).

cnf(c_0_1844,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    c_0_1474,
    [final] ).

cnf(c_0_1845,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_1475,
    [final] ).

cnf(c_0_1846,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_1476,
    [final] ).

cnf(c_0_1847,plain,
    ( X1 = X2
    | c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
    c_0_1477,
    [final] ).

cnf(c_0_1848,plain,
    ( X1 = X2
    | c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
    c_0_1478,
    [final] ).

cnf(c_0_1849,plain,
    ( X1 = X2
    | c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
    c_0_1479,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1480_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1480]) ).

cnf(c_0_1480_1,axiom,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1480]) ).

cnf(c_0_1480_2,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1480]) ).

cnf(c_0_1480_3,axiom,
    ( ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1480]) ).

cnf(c_0_1480_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1480]) ).

cnf(c_0_1481_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_1,axiom,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_2,axiom,
    ( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_3,axiom,
    ( ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1482_0,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(X3,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1482_1,axiom,
    ( c_in(X3,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1482_2,axiom,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1482_3,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1482_4,axiom,
    ( ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1482_5,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1483_0,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1483_1,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1483_2,axiom,
    ( c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1483_3,axiom,
    ( ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1483_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1483_5,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1484_0,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1484]) ).

cnf(c_0_1484_1,axiom,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1484]) ).

cnf(c_0_1484_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1484]) ).

cnf(c_0_1484_3,axiom,
    ( ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1484]) ).

cnf(c_0_1485_0,axiom,
    ( c_in(X3,X2,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1485_1,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(X3,X2,tc_nat)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1485_2,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(X3,X2,tc_nat)
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1485_3,axiom,
    ( ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(X3,X2,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1485_4,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(X3,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1486_0,axiom,
    ( X5 = X10
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1486]) ).

cnf(c_0_1486_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X5 = X10
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1486]) ).

cnf(c_0_1486_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X5 = X10
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1486]) ).

cnf(c_0_1486_3,axiom,
    ( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X5 = X10 ),
    inference(literals_permutation,[status(thm)],[c_0_1486]) ).

cnf(c_0_1487_0,axiom,
    ( X3 = X9
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1487]) ).

cnf(c_0_1487_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X3 = X9
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1487]) ).

cnf(c_0_1487_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X3 = X9
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1487]) ).

cnf(c_0_1487_3,axiom,
    ( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X3 = X9 ),
    inference(literals_permutation,[status(thm)],[c_0_1487]) ).

cnf(c_0_1488_0,axiom,
    ( X2 = X8
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1488]) ).

cnf(c_0_1488_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X2 = X8
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1488]) ).

cnf(c_0_1488_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X2 = X8
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1488]) ).

cnf(c_0_1488_3,axiom,
    ( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X2 = X8 ),
    inference(literals_permutation,[status(thm)],[c_0_1488]) ).

cnf(c_0_1489_0,axiom,
    ( X1 = X7
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1489]) ).

cnf(c_0_1489_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X7
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1489]) ).

cnf(c_0_1489_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X7
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1489]) ).

cnf(c_0_1489_3,axiom,
    ( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X7 ),
    inference(literals_permutation,[status(thm)],[c_0_1489]) ).

cnf(c_0_1490_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1490_1,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1490_2,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1491_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1491]) ).

cnf(c_0_1491_1,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1491]) ).

cnf(c_0_1491_2,axiom,
    ( ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1491]) ).

cnf(c_0_1491_3,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1491]) ).

cnf(c_0_1492_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1492]) ).

cnf(c_0_1492_1,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1492]) ).

cnf(c_0_1492_2,axiom,
    ( ~ c_in(X1,X2,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1492]) ).

cnf(c_0_1493_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(X3,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1493]) ).

cnf(c_0_1493_1,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(X3,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1493]) ).

cnf(c_0_1493_2,axiom,
    ( ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X3,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1493]) ).

cnf(c_0_1493_3,axiom,
    ( ~ c_in(X3,X2,tc_nat)
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1493]) ).

cnf(c_0_1494_0,axiom,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1494]) ).

cnf(c_0_1494_1,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1494]) ).

cnf(c_0_1494_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1494]) ).

cnf(c_0_1494_3,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1494]) ).

cnf(c_0_1495_0,axiom,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1495]) ).

cnf(c_0_1495_1,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1495]) ).

cnf(c_0_1495_2,axiom,
    ( c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1495]) ).

cnf(c_0_1495_3,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1495]) ).

cnf(c_0_1495_4,axiom,
    ( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1495]) ).

cnf(c_0_1495_5,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1495]) ).

cnf(c_0_1496_0,axiom,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1496]) ).

cnf(c_0_1496_1,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1496]) ).

cnf(c_0_1496_2,axiom,
    ( ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1496]) ).

cnf(c_0_1496_3,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1496]) ).

cnf(c_0_1496_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1496]) ).

cnf(c_0_1497_0,axiom,
    ( 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(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1497]) ).

cnf(c_0_1497_1,axiom,
    ( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | 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(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1497]) ).

cnf(c_0_1497_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | 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(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1497]) ).

cnf(c_0_1497_3,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | 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(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1497]) ).

cnf(c_0_1498_0,axiom,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1498]) ).

cnf(c_0_1498_1,axiom,
    ( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1498]) ).

cnf(c_0_1498_2,axiom,
    ( ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1498]) ).

cnf(c_0_1498_3,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1498]) ).

cnf(c_0_1498_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_Message_OsymKeys,tc_nat)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1498]) ).

cnf(c_0_1499_0,axiom,
    ( X2 = c_Message_Oagent_OServer
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1499_1,axiom,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | X2 = c_Message_Oagent_OServer
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1499_2,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | X2 = c_Message_Oagent_OServer
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1499_3,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | X2 = c_Message_Oagent_OServer
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1499_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | X2 = c_Message_Oagent_OServer ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1500_0,axiom,
    ( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1500_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1500_2,axiom,
    ( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1500_3,axiom,
    ( ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1501_0,axiom,
    ( X2 = c_Message_Oagent_OServer
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1501_1,axiom,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
    | X2 = c_Message_Oagent_OServer
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1501_2,axiom,
    ( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
    | X2 = c_Message_Oagent_OServer
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1501_3,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
    | X2 = c_Message_Oagent_OServer
    | ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1501_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
    | X2 = c_Message_Oagent_OServer ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1502_0,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1502]) ).

cnf(c_0_1502_1,axiom,
    ( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1502]) ).

cnf(c_0_1502_2,axiom,
    ( ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1502]) ).

cnf(c_0_1503_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1503_1,axiom,
    ( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1503_2,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1503_3,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1503_4,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1504_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1504_1,axiom,
    ( c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1504_2,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1504_3,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1504_4,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1505_0,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1505_1,axiom,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1505_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1505_3,axiom,
    ( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1506_0,axiom,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_1,axiom,
    ( c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_2,axiom,
    ( c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_3,axiom,
    ( c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_4,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_5,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_6,axiom,
    ( ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1507_0,axiom,
    ( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2)))
    | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1507_1,axiom,
    ( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2)))
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1507_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2)))
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1507_3,axiom,
    ( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
    | X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1508_0,axiom,
    ( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X1)))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1508]) ).

cnf(c_0_1508_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X1)))
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1508]) ).

cnf(c_0_1508_2,axiom,
    ( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1508]) ).

cnf(c_0_1509_0,axiom,
    ( X2 = hAPP(c_Public_OshrK,X1)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1509]) ).

cnf(c_0_1509_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | X2 = hAPP(c_Public_OshrK,X1)
    | ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1509]) ).

cnf(c_0_1509_2,axiom,
    ( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | X2 = hAPP(c_Public_OshrK,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1509]) ).

cnf(c_0_1510_0,axiom,
    ( c_in(X3,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1510]) ).

cnf(c_0_1510_1,axiom,
    ( ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4)
    | c_in(X3,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1510]) ).

cnf(c_0_1511_0,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1511]) ).

cnf(c_0_1511_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1511]) ).

cnf(c_0_1511_2,axiom,
    ( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1511]) ).

cnf(c_0_1511_3,axiom,
    ( ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1511]) ).

cnf(c_0_1512_0,axiom,
    ( c_in(X2,X4,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1512]) ).

cnf(c_0_1512_1,axiom,
    ( ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
    | c_in(X2,X4,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1512]) ).

cnf(c_0_1513_0,axiom,
    ( X1 = X3
    | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1513]) ).

cnf(c_0_1513_1,axiom,
    ( ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
    | X1 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1513]) ).

cnf(c_0_1514_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1514]) ).

cnf(c_0_1514_1,axiom,
    ( ~ c_in(X1,X2,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1514]) ).

cnf(c_0_1514_2,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1514]) ).

cnf(c_0_1515_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1515]) ).

cnf(c_0_1515_1,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1515]) ).

cnf(c_0_1515_2,axiom,
    ( ~ c_in(X1,X3,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1515]) ).

cnf(c_0_1516_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1516]) ).

cnf(c_0_1516_1,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1516]) ).

cnf(c_0_1517_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1517]) ).

cnf(c_0_1517_1,axiom,
    ( ~ c_in(X1,X2,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1517]) ).

cnf(c_0_1518_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1518_1,axiom,
    ( c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1518_2,axiom,
    ( c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1518_3,axiom,
    ( c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1518_4,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1518_5,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1518_6,axiom,
    ( ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1519_0,axiom,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_1,axiom,
    ( c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_2,axiom,
    ( c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_3,axiom,
    ( c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_4,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_5,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_6,axiom,
    ( ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1520_0,axiom,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4)))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1520_1,axiom,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4)))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1520_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4)))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1521_0,axiom,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4)))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1521]) ).

cnf(c_0_1521_1,axiom,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4)))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1521]) ).

cnf(c_0_1521_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4)))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1521]) ).

cnf(c_0_1522_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1522]) ).

cnf(c_0_1522_1,axiom,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1522]) ).

cnf(c_0_1522_2,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1522]) ).

cnf(c_0_1522_3,axiom,
    ( ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1522]) ).

cnf(c_0_1522_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1522]) ).

cnf(c_0_1523_0,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1523]) ).

cnf(c_0_1523_1,axiom,
    ( X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1523]) ).

cnf(c_0_1523_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1523]) ).

cnf(c_0_1523_3,axiom,
    ( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1523]) ).

cnf(c_0_1524_0,axiom,
    ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1524]) ).

cnf(c_0_1524_1,axiom,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4)))
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1524]) ).

cnf(c_0_1524_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4)))
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1524]) ).

cnf(c_0_1525_0,axiom,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4)))
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_List_Oset(c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1525]) ).

cnf(c_0_1525_1,axiom,
    ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_List_Oset(c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4)
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1525]) ).

cnf(c_0_1525_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_List_Oset(c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4)
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1525]) ).

cnf(c_0_1526_0,axiom,
    ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1526]) ).

cnf(c_0_1526_1,axiom,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4)))
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1526]) ).

cnf(c_0_1526_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4)))
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1526]) ).

cnf(c_0_1527_0,axiom,
    ( hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4)))
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),c_List_Oset(c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1527]) ).

cnf(c_0_1527_1,axiom,
    ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),c_List_Oset(c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),X4)
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1527]) ).

cnf(c_0_1527_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),c_List_Oset(c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),X4)
    | hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1527]) ).

cnf(c_0_1528_0,axiom,
    ( c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1528]) ).

cnf(c_0_1528_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1528]) ).

cnf(c_0_1529_0,axiom,
    ( c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X3),X1)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1529]) ).

cnf(c_0_1529_1,axiom,
    ( ~ c_in(X1,X2,tc_Message_Oagent)
    | c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X3),X1)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1529]) ).

cnf(c_0_1530_0,axiom,
    ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),c_List_Oset(c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1530]) ).

cnf(c_0_1530_1,axiom,
    ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),c_List_Oset(c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),X4)
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1530]) ).

cnf(c_0_1530_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),c_List_Oset(c_List_Oappend(X3,c_List_Olist_OCons(X2,X5,X4),X4),X4),X4)
    | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1530]) ).

cnf(c_0_1531_0,axiom,
    ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_List_Oset(c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1531]) ).

cnf(c_0_1531_1,axiom,
    ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_List_Oset(c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4)
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1531]) ).

cnf(c_0_1531_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_List_Oset(c_List_Oappend(X5,c_List_Olist_OCons(X2,X3,X4),X4),X4),X4)
    | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X3,X4),c_List_Oset(X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1531]) ).

cnf(c_0_1532_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1532]) ).

cnf(c_0_1532_1,axiom,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1532]) ).

cnf(c_0_1532_2,axiom,
    ( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1532]) ).

cnf(c_0_1532_3,axiom,
    ( ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1532]) ).

cnf(c_0_1532_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X3,c_Message_OsymKeys,tc_nat)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1532]) ).

cnf(c_0_1533_0,axiom,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oparts(X4),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1533]) ).

cnf(c_0_1533_1,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oparts(X4),tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1533]) ).

cnf(c_0_1533_2,axiom,
    ( ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oparts(X4),tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1533]) ).

cnf(c_0_1533_3,axiom,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oparts(X4),tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1533]) ).

cnf(c_0_1534_0,axiom,
    ( c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,X7))))),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1534]) ).

cnf(c_0_1534_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,X7))))),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1534]) ).

cnf(c_0_1535_0,axiom,
    ( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | X3 = X2
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1535]) ).

cnf(c_0_1535_1,axiom,
    ( X3 = X2
    | c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1535]) ).

cnf(c_0_1535_2,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | X3 = X2
    | c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1535]) ).

cnf(c_0_1535_3,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | X3 = X2
    | c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1535]) ).

cnf(c_0_1535_4,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | X3 = X2
    | c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1535]) ).

cnf(c_0_1536_0,axiom,
    ( c_in(c_Event_Oevent_OSays(X1,X2,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1536]) ).

cnf(c_0_1536_1,axiom,
    ( ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4)
    | c_in(c_Event_Oevent_OSays(X1,X2,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1536]) ).

cnf(c_0_1537_0,axiom,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X5,tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1537]) ).

cnf(c_0_1537_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X5,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1537]) ).

cnf(c_0_1538_0,axiom,
    ( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1538]) ).

cnf(c_0_1538_1,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1538]) ).

cnf(c_0_1538_2,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1538]) ).

cnf(c_0_1538_3,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1538]) ).

cnf(c_0_1539_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1539]) ).

cnf(c_0_1539_1,axiom,
    ( c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1539]) ).

cnf(c_0_1539_2,axiom,
    ( ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1539]) ).

cnf(c_0_1540_0,axiom,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1540]) ).

cnf(c_0_1540_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1540]) ).

cnf(c_0_1541_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1541]) ).

cnf(c_0_1541_1,axiom,
    ( ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1541]) ).

cnf(c_0_1542_0,axiom,
    ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1542]) ).

cnf(c_0_1542_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1542]) ).

cnf(c_0_1543_0,axiom,
    ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1543]) ).

cnf(c_0_1543_1,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1543]) ).

cnf(c_0_1544_0,axiom,
    ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1544]) ).

cnf(c_0_1544_1,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1544]) ).

cnf(c_0_1545_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1545]) ).

cnf(c_0_1545_1,axiom,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1545]) ).

cnf(c_0_1545_2,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1545]) ).

cnf(c_0_1546_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1546]) ).

cnf(c_0_1546_1,axiom,
    ( ~ c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1546]) ).

cnf(c_0_1547_0,axiom,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1547]) ).

cnf(c_0_1547_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1547]) ).

cnf(c_0_1547_2,axiom,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1547]) ).

cnf(c_0_1548_0,axiom,
    ( c_in(hAPP(X1,X6),X5,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_in(X6,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1548]) ).

cnf(c_0_1548_1,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | c_in(hAPP(X1,X6),X5,X4)
    | ~ c_in(X6,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1548]) ).

cnf(c_0_1548_2,axiom,
    ( ~ c_in(X6,X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | c_in(hAPP(X1,X6),X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1548]) ).

cnf(c_0_1549_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1549]) ).

cnf(c_0_1549_1,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1549]) ).

cnf(c_0_1549_2,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1549]) ).

cnf(c_0_1549_3,axiom,
    ( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1549]) ).

cnf(c_0_1549_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1549]) ).

cnf(c_0_1549_5,axiom,
    ( ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1549]) ).

cnf(c_0_1550_0,axiom,
    ( c_in(X2,X4,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1550]) ).

cnf(c_0_1550_1,axiom,
    ( ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat)
    | c_in(X2,X4,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1550]) ).

cnf(c_0_1551_0,axiom,
    ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1551]) ).

cnf(c_0_1551_1,axiom,
    ( ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1551]) ).

cnf(c_0_1551_2,axiom,
    ( ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1551]) ).

cnf(c_0_1552_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1552]) ).

cnf(c_0_1552_1,axiom,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1552]) ).

cnf(c_0_1552_2,axiom,
    ( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1552]) ).

cnf(c_0_1553_0,axiom,
    ( c_in(X1,X2,tc_nat)
    | ~ c_in(hAPP(c_Message_OinvKey,X1),c_Set_Oimage(c_Message_OinvKey,X2,tc_nat,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1553]) ).

cnf(c_0_1553_1,axiom,
    ( ~ c_in(hAPP(c_Message_OinvKey,X1),c_Set_Oimage(c_Message_OinvKey,X2,tc_nat,tc_nat),tc_nat)
    | c_in(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1553]) ).

cnf(c_0_1554_0,axiom,
    ( c_in(X1,X2,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1554]) ).

cnf(c_0_1554_1,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
    | c_in(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1554]) ).

cnf(c_0_1555_0,axiom,
    ( c_in(X1,X2,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1555]) ).

cnf(c_0_1555_1,axiom,
    ( ~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat)
    | c_in(X1,X2,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1555]) ).

cnf(c_0_1556_0,axiom,
    ( X1 = X3
    | ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1556]) ).

cnf(c_0_1556_1,axiom,
    ( ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat)
    | X1 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1556]) ).

cnf(c_0_1557_0,axiom,
    ( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1557]) ).

cnf(c_0_1557_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1557]) ).

cnf(c_0_1558_0,axiom,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1558]) ).

cnf(c_0_1558_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1558]) ).

cnf(c_0_1559_0,axiom,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1559]) ).

cnf(c_0_1559_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1559]) ).

cnf(c_0_1560_0,axiom,
    ( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1560]) ).

cnf(c_0_1560_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1560]) ).

cnf(c_0_1560_2,axiom,
    ( ~ c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1560]) ).

cnf(c_0_1561_0,axiom,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1561]) ).

cnf(c_0_1561_1,axiom,
    ( X1 = X3
    | X1 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1561]) ).

cnf(c_0_1561_2,axiom,
    ( c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
    | X1 = X3
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1561]) ).

cnf(c_0_1562_0,axiom,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1562]) ).

cnf(c_0_1562_1,axiom,
    ( X3 = X2
    | X1 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1562]) ).

cnf(c_0_1562_2,axiom,
    ( c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
    | X3 = X2
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1562]) ).

cnf(c_0_1563_0,axiom,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1563]) ).

cnf(c_0_1563_1,axiom,
    ( X3 = X2
    | X1 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1563]) ).

cnf(c_0_1563_2,axiom,
    ( c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
    | X3 = X2
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1563]) ).

cnf(c_0_1564_0,axiom,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1564]) ).

cnf(c_0_1564_1,axiom,
    ( X1 = X3
    | X1 = X2
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1564]) ).

cnf(c_0_1564_2,axiom,
    ( c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
    | X1 = X3
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1564]) ).

cnf(c_0_1565_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X4,X3),X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1565]) ).

cnf(c_0_1565_1,axiom,
    ( c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X4,X3),X3),X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1565]) ).

cnf(c_0_1566_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_in(X1,c_List_Oset(c_List_Oappend(X4,c_List_Olist_OCons(X1,X2,X3),X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1566]) ).

cnf(c_0_1566_1,axiom,
    ( c_in(X1,c_List_Oset(c_List_Oappend(X4,c_List_Olist_OCons(X1,X2,X3),X3),X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1566]) ).

cnf(c_0_1567_0,axiom,
    ( X2 = c_Message_Oagent_OSpy
    | c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1567]) ).

cnf(c_0_1567_1,axiom,
    ( c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | X2 = c_Message_Oagent_OSpy
    | c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1567]) ).

cnf(c_0_1567_2,axiom,
    ( c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | X2 = c_Message_Oagent_OSpy
    | c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1567]) ).

cnf(c_0_1567_3,axiom,
    ( c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | X2 = c_Message_Oagent_OSpy
    | c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1567]) ).

cnf(c_0_1567_4,axiom,
    ( c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
    | c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | X2 = c_Message_Oagent_OSpy
    | ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1567]) ).

cnf(c_0_1567_5,axiom,
    ( ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
    | c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
    | c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | X2 = c_Message_Oagent_OSpy ),
    inference(literals_permutation,[status(thm)],[c_0_1567]) ).

cnf(c_0_1568_0,axiom,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1568]) ).

cnf(c_0_1568_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1568]) ).

cnf(c_0_1568_2,axiom,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1568]) ).

cnf(c_0_1569_0,axiom,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1569]) ).

cnf(c_0_1569_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1569]) ).

cnf(c_0_1570_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1570]) ).

cnf(c_0_1570_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1570]) ).

cnf(c_0_1570_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1570]) ).

cnf(c_0_1570_3,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1570]) ).

cnf(c_0_1571_0,axiom,
    ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1571]) ).

cnf(c_0_1571_1,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1571]) ).

cnf(c_0_1571_2,axiom,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1571]) ).

cnf(c_0_1572_0,axiom,
    ( c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1572]) ).

cnf(c_0_1572_1,axiom,
    ( ~ c_in(X1,X2,tc_Message_Oagent)
    | c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1572]) ).

cnf(c_0_1573_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1573]) ).

cnf(c_0_1573_1,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1573]) ).

cnf(c_0_1573_2,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1573]) ).

cnf(c_0_1574_0,axiom,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1574]) ).

cnf(c_0_1574_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1574]) ).

cnf(c_0_1575_0,axiom,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1575]) ).

cnf(c_0_1575_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1575]) ).

cnf(c_0_1576_0,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1576]) ).

cnf(c_0_1576_1,axiom,
    ( ~ c_in(X2,X3,X4)
    | c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1576]) ).

cnf(c_0_1577_0,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1577]) ).

cnf(c_0_1577_1,axiom,
    ( ~ c_in(X2,X3,X4)
    | c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1577]) ).

cnf(c_0_1578_0,axiom,
    ( c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1578]) ).

cnf(c_0_1578_1,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_1578]) ).

cnf(c_0_1579_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1579]) ).

cnf(c_0_1579_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1579]) ).

cnf(c_0_1579_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1579]) ).

cnf(c_0_1579_3,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1579]) ).

cnf(c_0_1580_0,axiom,
    ( c_in(hAPP(c_Message_OinvKey,X1),c_Set_Oimage(c_Message_OinvKey,X2,tc_nat,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1580]) ).

cnf(c_0_1580_1,axiom,
    ( ~ c_in(X1,X2,tc_nat)
    | c_in(hAPP(c_Message_OinvKey,X1),c_Set_Oimage(c_Message_OinvKey,X2,tc_nat,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1580]) ).

cnf(c_0_1581_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1581]) ).

cnf(c_0_1581_1,axiom,
    ( ~ c_in(X1,X2,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1581]) ).

cnf(c_0_1582_0,axiom,
    ( c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat)
    | ~ c_in(X1,X2,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1582]) ).

cnf(c_0_1582_1,axiom,
    ( ~ c_in(X1,X2,tc_Message_Oagent)
    | c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1582]) ).

cnf(c_0_1583_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1583]) ).

cnf(c_0_1583_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1583]) ).

cnf(c_0_1583_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1583]) ).

cnf(c_0_1584_0,axiom,
    ( c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1584]) ).

cnf(c_0_1584_1,axiom,
    ( c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1584]) ).

cnf(c_0_1584_2,axiom,
    ( c_in(X1,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
    | c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1584]) ).

cnf(c_0_1584_3,axiom,
    ( ~ c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | c_in(X1,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
    | c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X1,X2),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X1,X2),X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1584]) ).

cnf(c_0_1585_0,axiom,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1585]) ).

cnf(c_0_1585_1,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1585]) ).

cnf(c_0_1586_0,axiom,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1586]) ).

cnf(c_0_1586_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1586]) ).

cnf(c_0_1587_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1587_1,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1587_2,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1588_0,axiom,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1588]) ).

cnf(c_0_1588_1,axiom,
    ( hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1588]) ).

cnf(c_0_1588_2,axiom,
    ( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1588]) ).

cnf(c_0_1589_0,axiom,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent))
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1589]) ).

cnf(c_0_1589_1,axiom,
    ( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent))
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1589]) ).

cnf(c_0_1589_2,axiom,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg)
    | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
    | c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_1589]) ).

cnf(c_0_1590_0,axiom,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1590]) ).

cnf(c_0_1590_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1590]) ).

cnf(c_0_1590_2,axiom,
    ( ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1590]) ).

cnf(c_0_1591_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1591]) ).

cnf(c_0_1591_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1591]) ).

cnf(c_0_1591_2,axiom,
    ( ~ c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1591]) ).

cnf(c_0_1592_0,axiom,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1592]) ).

cnf(c_0_1592_1,axiom,
    ( ~ c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1592]) ).

cnf(c_0_1593_0,axiom,
    ( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1593]) ).

cnf(c_0_1593_1,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1593]) ).

cnf(c_0_1593_2,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1593]) ).

cnf(c_0_1593_3,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1593]) ).

cnf(c_0_1594_0,axiom,
    ( X1 = X2
    | c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1594]) ).

cnf(c_0_1594_1,axiom,
    ( c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1594]) ).

cnf(c_0_1595_0,axiom,
    ( X1 = X2
    | c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1595]) ).

cnf(c_0_1595_1,axiom,
    ( c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1595]) ).

cnf(c_0_1596_0,axiom,
    ( X1 = X2
    | c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1596]) ).

cnf(c_0_1596_1,axiom,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | X1 = X2
    | ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1596]) ).

cnf(c_0_1596_2,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4)
    | c_in(X1,c_List_Oset(X3,X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1596]) ).

cnf(c_0_1597_0,axiom,
    ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1597]) ).

cnf(c_0_1597_1,axiom,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1597]) ).

cnf(c_0_1598_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1598]) ).

cnf(c_0_1598_1,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1598]) ).

cnf(c_0_1598_2,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1598]) ).

cnf(c_0_1598_3,axiom,
    ( ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1598]) ).

cnf(c_0_1599_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1599]) ).

cnf(c_0_1599_1,axiom,
    ( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1599]) ).

cnf(c_0_1599_2,axiom,
    ( ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1599]) ).

cnf(c_0_1599_3,axiom,
    ( ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
    | ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1599]) ).

cnf(c_0_1600_0,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1600]) ).

cnf(c_0_1600_1,axiom,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1600]) ).

cnf(c_0_1601_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1601]) ).

cnf(c_0_1601_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1601]) ).

cnf(c_0_1601_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1601]) ).

cnf(c_0_1602_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1602]) ).

cnf(c_0_1602_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1602]) ).

cnf(c_0_1602_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1602]) ).

cnf(c_0_1603_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1603]) ).

cnf(c_0_1603_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1603]) ).

cnf(c_0_1603_2,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1603]) ).

cnf(c_0_1604_0,axiom,
    ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1604]) ).

cnf(c_0_1604_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1604]) ).

cnf(c_0_1604_2,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1604]) ).

cnf(c_0_1605_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1605]) ).

cnf(c_0_1605_1,axiom,
    ( c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1605]) ).

cnf(c_0_1606_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1606]) ).

cnf(c_0_1606_1,axiom,
    ( c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1606]) ).

cnf(c_0_1607_0,axiom,
    ( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1607]) ).

cnf(c_0_1607_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1607]) ).

cnf(c_0_1608_0,axiom,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1608]) ).

cnf(c_0_1608_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1608]) ).

cnf(c_0_1609_0,axiom,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1609]) ).

cnf(c_0_1609_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1609]) ).

cnf(c_0_1610_0,axiom,
    ( c_in(X1,X2,X4)
    | c_in(X1,X3,X4)
    | ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1610]) ).

cnf(c_0_1610_1,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1610]) ).

cnf(c_0_1610_2,axiom,
    ( ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
    | c_in(X1,X3,X4)
    | c_in(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1610]) ).

cnf(c_0_1611_0,axiom,
    ( c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1611]) ).

cnf(c_0_1611_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1611]) ).

cnf(c_0_1612_0,axiom,
    ( c_in(X2,X1,X4)
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1612]) ).

cnf(c_0_1612_1,axiom,
    ( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1612]) ).

cnf(c_0_1612_2,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1612]) ).

cnf(c_0_1613_0,axiom,
    ( c_in(X1,X2,X3)
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1613]) ).

cnf(c_0_1613_1,axiom,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | c_in(X1,X2,X3)
    | ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1613]) ).

cnf(c_0_1613_2,axiom,
    ( ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1613]) ).

cnf(c_0_1614_0,axiom,
    ( X1 = X2
    | ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1614]) ).

cnf(c_0_1614_1,axiom,
    ( ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1614]) ).

cnf(c_0_1615_0,axiom,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1615]) ).

cnf(c_0_1615_1,axiom,
    ( hBOOL(hAPP(X2,X4))
    | X1 = X4
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1615]) ).

cnf(c_0_1615_2,axiom,
    ( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | hBOOL(hAPP(X2,X4))
    | X1 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1615]) ).

cnf(c_0_1616_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1616]) ).

cnf(c_0_1616_1,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1616]) ).

cnf(c_0_1616_2,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1616]) ).

cnf(c_0_1617_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1617]) ).

cnf(c_0_1617_1,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1617]) ).

cnf(c_0_1617_2,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1617]) ).

cnf(c_0_1618_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1618]) ).

cnf(c_0_1618_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1618]) ).

cnf(c_0_1619_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1619]) ).

cnf(c_0_1619_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1619]) ).

cnf(c_0_1619_2,axiom,
    ( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1619]) ).

cnf(c_0_1619_3,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1619]) ).

cnf(c_0_1620_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1620]) ).

cnf(c_0_1620_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1620]) ).

cnf(c_0_1620_2,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1620]) ).

cnf(c_0_1621_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1621]) ).

cnf(c_0_1621_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1621]) ).

cnf(c_0_1621_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X2,X3)
    | c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1621]) ).

cnf(c_0_1622_0,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1622]) ).

cnf(c_0_1622_1,axiom,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1622]) ).

cnf(c_0_1622_2,axiom,
    ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1622]) ).

cnf(c_0_1623_0,axiom,
    ( c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1623]) ).

cnf(c_0_1623_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1623]) ).

cnf(c_0_1624_0,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1624]) ).

cnf(c_0_1624_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1624]) ).

cnf(c_0_1625_0,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1625]) ).

cnf(c_0_1625_1,axiom,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1625]) ).

cnf(c_0_1625_2,axiom,
    ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X3)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1625]) ).

cnf(c_0_1626_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1626]) ).

cnf(c_0_1626_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1626]) ).

cnf(c_0_1627_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1627]) ).

cnf(c_0_1627_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1627]) ).

cnf(c_0_1628_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X2),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1628]) ).

cnf(c_0_1628_1,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(X2),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1628]) ).

cnf(c_0_1629_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1629]) ).

cnf(c_0_1629_1,axiom,
    ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1629]) ).

cnf(c_0_1630_0,axiom,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1630]) ).

cnf(c_0_1630_1,axiom,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1630]) ).

cnf(c_0_1631_0,axiom,
    ( c_in(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1631]) ).

cnf(c_0_1631_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1631]) ).

cnf(c_0_1632_0,axiom,
    ( c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1632]) ).

cnf(c_0_1632_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1632]) ).

cnf(c_0_1633_0,axiom,
    ( c_in(X1,X2,X3)
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1633]) ).

cnf(c_0_1633_1,axiom,
    ( c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1633]) ).

cnf(c_0_1633_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1633]) ).

cnf(c_0_1634_0,axiom,
    ( c_in(X1,X2,X3)
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1634]) ).

cnf(c_0_1634_1,axiom,
    ( c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1634]) ).

cnf(c_0_1634_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1634]) ).

cnf(c_0_1635_0,axiom,
    ( c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1635]) ).

cnf(c_0_1635_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1635]) ).

cnf(c_0_1636_0,axiom,
    ( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1636_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1637_0,axiom,
    ( c_in(X3,c_Event_Oused(X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1637]) ).

cnf(c_0_1637_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Event_Oused(X4),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1637]) ).

cnf(c_0_1638_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1638]) ).

cnf(c_0_1638_1,axiom,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1638]) ).

cnf(c_0_1639_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1639]) ).

cnf(c_0_1639_1,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1639]) ).

cnf(c_0_1639_2,axiom,
    ( ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1639]) ).

cnf(c_0_1640_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1640_1,axiom,
    ( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1640_2,axiom,
    ( ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1641_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1641]) ).

cnf(c_0_1641_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1641]) ).

cnf(c_0_1642_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1642]) ).

cnf(c_0_1642_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1642]) ).

cnf(c_0_1643_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1643_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1643_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1643_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1644_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1644]) ).

cnf(c_0_1644_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1644]) ).

cnf(c_0_1644_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1644]) ).

cnf(c_0_1644_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1644]) ).

cnf(c_0_1645_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1645]) ).

cnf(c_0_1645_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1645]) ).

cnf(c_0_1645_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1645]) ).

cnf(c_0_1645_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1645]) ).

cnf(c_0_1646_0,axiom,
    ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1646]) ).

cnf(c_0_1646_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1646]) ).

cnf(c_0_1647_0,axiom,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1647]) ).

cnf(c_0_1647_1,axiom,
    ( c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1647]) ).

cnf(c_0_1648_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1648]) ).

cnf(c_0_1648_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1648]) ).

cnf(c_0_1649_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1649]) ).

cnf(c_0_1649_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1649]) ).

cnf(c_0_1650_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1650]) ).

cnf(c_0_1650_1,axiom,
    ( ~ class_Lattices_Olattice(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1650]) ).

cnf(c_0_1651_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1651]) ).

cnf(c_0_1651_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1651]) ).

cnf(c_0_1652_0,axiom,
    ( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))
    | c_Message_Oanalz(X1) != c_Message_Oanalz(X3)
    | c_Message_Oanalz(X2) != c_Message_Oanalz(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1652]) ).

cnf(c_0_1652_1,axiom,
    ( c_Message_Oanalz(X1) != c_Message_Oanalz(X3)
    | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))
    | c_Message_Oanalz(X2) != c_Message_Oanalz(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1652]) ).

cnf(c_0_1652_2,axiom,
    ( c_Message_Oanalz(X2) != c_Message_Oanalz(X4)
    | c_Message_Oanalz(X1) != c_Message_Oanalz(X3)
    | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1652]) ).

cnf(c_0_1653_0,axiom,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1653]) ).

cnf(c_0_1653_1,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1653]) ).

cnf(c_0_1654_0,axiom,
    ( c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) = c_Message_Oanalz(X3)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1654]) ).

cnf(c_0_1654_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) = c_Message_Oanalz(X3)
    | ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1654]) ).

cnf(c_0_1654_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) = c_Message_Oanalz(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1654]) ).

cnf(c_0_1655_0,axiom,
    ( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1655]) ).

cnf(c_0_1655_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1655]) ).

cnf(c_0_1655_2,axiom,
    ( ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1655]) ).

cnf(c_0_1656_0,axiom,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1656]) ).

cnf(c_0_1656_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1656]) ).

cnf(c_0_1656_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1656]) ).

cnf(c_0_1657_0,axiom,
    ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1657]) ).

cnf(c_0_1657_1,axiom,
    ( ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1657]) ).

cnf(c_0_1657_2,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1657]) ).

cnf(c_0_1658_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1658]) ).

cnf(c_0_1658_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1658]) ).

cnf(c_0_1658_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1658]) ).

cnf(c_0_1659_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1659]) ).

cnf(c_0_1659_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1659]) ).

cnf(c_0_1659_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1659]) ).

cnf(c_0_1660_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1660]) ).

cnf(c_0_1660_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1660]) ).

cnf(c_0_1660_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1660]) ).

cnf(c_0_1661_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1661]) ).

cnf(c_0_1661_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1661]) ).

cnf(c_0_1661_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1661]) ).

cnf(c_0_1662_0,axiom,
    ( X1 = X2
    | c_in(X1,X3,X4)
    | ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1662]) ).

cnf(c_0_1662_1,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1662]) ).

cnf(c_0_1662_2,axiom,
    ( ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
    | c_in(X1,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1662]) ).

cnf(c_0_1663_0,axiom,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat)
    | c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1663]) ).

cnf(c_0_1663_1,axiom,
    ( c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1663]) ).

cnf(c_0_1664_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1664]) ).

cnf(c_0_1664_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1664]) ).

cnf(c_0_1665_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1665]) ).

cnf(c_0_1665_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X3),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1665]) ).

cnf(c_0_1665_2,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X3),X2,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1665]) ).

cnf(c_0_1666_0,axiom,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1666_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1667_0,axiom,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1667]) ).

cnf(c_0_1667_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1667]) ).

cnf(c_0_1668_0,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1668_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1669_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1669_1,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1669_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1670_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1670]) ).

cnf(c_0_1670_1,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1670]) ).

cnf(c_0_1670_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1670]) ).

cnf(c_0_1671_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1671]) ).

cnf(c_0_1671_1,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1671]) ).

cnf(c_0_1671_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1671]) ).

cnf(c_0_1672_0,axiom,
    ( ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1672]) ).

cnf(c_0_1672_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1672]) ).

cnf(c_0_1673_0,axiom,
    ( X1 = X2
    | c_in(X3,X1,X4)
    | c_in(X3,X2,X4)
    | c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1673]) ).

cnf(c_0_1673_1,axiom,
    ( c_in(X3,X1,X4)
    | X1 = X2
    | c_in(X3,X2,X4)
    | c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1673]) ).

cnf(c_0_1673_2,axiom,
    ( c_in(X3,X2,X4)
    | c_in(X3,X1,X4)
    | X1 = X2
    | c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1673]) ).

cnf(c_0_1673_3,axiom,
    ( c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4)
    | c_in(X3,X2,X4)
    | c_in(X3,X1,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1673]) ).

cnf(c_0_1674_0,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1674]) ).

cnf(c_0_1674_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1674]) ).

cnf(c_0_1674_2,axiom,
    ( ~ c_lessequals(X2,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1674]) ).

cnf(c_0_1675_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1675]) ).

cnf(c_0_1675_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1675]) ).

cnf(c_0_1675_2,axiom,
    ( ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1675]) ).

cnf(c_0_1676_0,axiom,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Osynth(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1676]) ).

cnf(c_0_1676_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Osynth(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1676]) ).

cnf(c_0_1676_2,axiom,
    ( ~ c_lessequals(X2,c_Message_Osynth(X3),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1676]) ).

cnf(c_0_1677_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1677]) ).

cnf(c_0_1677_1,axiom,
    ( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1677]) ).

cnf(c_0_1677_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1677]) ).

cnf(c_0_1678_0,axiom,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1678]) ).

cnf(c_0_1678_1,axiom,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1678]) ).

cnf(c_0_1678_2,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1678]) ).

cnf(c_0_1679_0,axiom,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1679]) ).

cnf(c_0_1679_1,axiom,
    ( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1679]) ).

cnf(c_0_1679_2,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1679]) ).

cnf(c_0_1680_0,axiom,
    ( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1680]) ).

cnf(c_0_1680_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1680]) ).

cnf(c_0_1680_2,axiom,
    ( ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1680]) ).

cnf(c_0_1681_0,axiom,
    ( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1681]) ).

cnf(c_0_1681_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(X3),tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1681]) ).

cnf(c_0_1681_2,axiom,
    ( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(X3),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1681]) ).

cnf(c_0_1682_0,axiom,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1682]) ).

cnf(c_0_1682_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1682]) ).

cnf(c_0_1682_2,axiom,
    ( ~ c_in(X4,X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1682]) ).

cnf(c_0_1683_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1683]) ).

cnf(c_0_1683_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,X4,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1683]) ).

cnf(c_0_1683_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X2,X3)
    | c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1683]) ).

cnf(c_0_1684_0,axiom,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1684]) ).

cnf(c_0_1684_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1684]) ).

cnf(c_0_1684_2,axiom,
    ( ~ c_in(X4,X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1684]) ).

cnf(c_0_1685_0,axiom,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1685]) ).

cnf(c_0_1685_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1685]) ).

cnf(c_0_1685_2,axiom,
    ( ~ c_in(X4,X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1685]) ).

cnf(c_0_1686_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1686]) ).

cnf(c_0_1686_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1686]) ).

cnf(c_0_1687_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1687]) ).

cnf(c_0_1687_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1687]) ).

cnf(c_0_1687_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1687]) ).

cnf(c_0_1688_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1688]) ).

cnf(c_0_1688_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1688]) ).

cnf(c_0_1688_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1688]) ).

cnf(c_0_1689_0,axiom,
    ( X1 = c_Message_Oagent_OSpy
    | c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1689]) ).

cnf(c_0_1689_1,axiom,
    ( c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
    | X1 = c_Message_Oagent_OSpy ),
    inference(literals_permutation,[status(thm)],[c_0_1689]) ).

cnf(c_0_1690_0,axiom,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1690]) ).

cnf(c_0_1690_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1690]) ).

cnf(c_0_1691_0,axiom,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1691]) ).

cnf(c_0_1691_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1691]) ).

cnf(c_0_1692_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1692]) ).

cnf(c_0_1692_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1692]) ).

cnf(c_0_1692_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1692]) ).

cnf(c_0_1693_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1693]) ).

cnf(c_0_1693_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1693]) ).

cnf(c_0_1693_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1693]) ).

cnf(c_0_1694_0,axiom,
    ( X1 = c_Message_Oagent_OSpy
    | c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1694]) ).

cnf(c_0_1694_1,axiom,
    ( c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
    | X1 = c_Message_Oagent_OSpy
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1694]) ).

cnf(c_0_1694_2,axiom,
    ( ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
    | X1 = c_Message_Oagent_OSpy ),
    inference(literals_permutation,[status(thm)],[c_0_1694]) ).

cnf(c_0_1695_0,axiom,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1695]) ).

cnf(c_0_1695_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1695]) ).

cnf(c_0_1695_2,axiom,
    ( ~ class_HOL_Oord(X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1695]) ).

cnf(c_0_1696_0,axiom,
    ( c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1696]) ).

cnf(c_0_1696_1,axiom,
    ( ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1696]) ).

cnf(c_0_1697_0,axiom,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1697]) ).

cnf(c_0_1697_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1697]) ).

cnf(c_0_1697_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1697]) ).

cnf(c_0_1697_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1697]) ).

cnf(c_0_1698_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1698]) ).

cnf(c_0_1698_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1698]) ).

cnf(c_0_1698_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1698]) ).

cnf(c_0_1698_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1698]) ).

cnf(c_0_1699_0,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1699]) ).

cnf(c_0_1699_1,axiom,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1699]) ).

cnf(c_0_1700_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1700]) ).

cnf(c_0_1700_1,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1700]) ).

cnf(c_0_1701_0,axiom,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1701]) ).

cnf(c_0_1701_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1701]) ).

cnf(c_0_1701_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_lessequals(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1701]) ).

cnf(c_0_1702_0,axiom,
    ( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg))
    | c_Message_Oanalz(X2) != c_Message_Oanalz(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1702]) ).

cnf(c_0_1702_1,axiom,
    ( c_Message_Oanalz(X2) != c_Message_Oanalz(X3)
    | c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_1702]) ).

cnf(c_0_1703_0,axiom,
    ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1703]) ).

cnf(c_0_1703_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1703]) ).

cnf(c_0_1704_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_1704]) ).

cnf(c_0_1704_1,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1704]) ).

cnf(c_0_1705_0,axiom,
    ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1705]) ).

cnf(c_0_1705_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1705]) ).

cnf(c_0_1706_0,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1706]) ).

cnf(c_0_1706_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1706]) ).

cnf(c_0_1707_0,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1707]) ).

cnf(c_0_1707_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1707]) ).

cnf(c_0_1708_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1708_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1709_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1709_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1710_0,axiom,
    ( c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1710]) ).

cnf(c_0_1710_1,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1710]) ).

cnf(c_0_1710_2,axiom,
    ( ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1710]) ).

cnf(c_0_1711_0,axiom,
    ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_1711]) ).

cnf(c_0_1711_1,axiom,
    ( ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Oused(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1711]) ).

cnf(c_0_1712_0,axiom,
    ( c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1712]) ).

cnf(c_0_1712_1,axiom,
    ( ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1712]) ).

cnf(c_0_1713_0,axiom,
    ( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1713_1,axiom,
    ( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1714_0,axiom,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1714]) ).

cnf(c_0_1714_1,axiom,
    ( ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1714]) ).

cnf(c_0_1715_0,axiom,
    ( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ hBOOL(hAPP(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1715]) ).

cnf(c_0_1715_1,axiom,
    ( ~ hBOOL(hAPP(X3,X1))
    | ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1715]) ).

cnf(c_0_1716_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1716]) ).

cnf(c_0_1716_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1716]) ).

cnf(c_0_1716_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1716]) ).

cnf(c_0_1717_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1717]) ).

cnf(c_0_1717_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1717]) ).

cnf(c_0_1717_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1717]) ).

cnf(c_0_1718_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1718]) ).

cnf(c_0_1718_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1718]) ).

cnf(c_0_1718_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1718]) ).

cnf(c_0_1719_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1719]) ).

cnf(c_0_1719_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1719]) ).

cnf(c_0_1719_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1719]) ).

cnf(c_0_1720_0,axiom,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1720]) ).

cnf(c_0_1720_1,axiom,
    ( ~ c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1720]) ).

cnf(c_0_1721_0,axiom,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1721]) ).

cnf(c_0_1721_1,axiom,
    ( ~ c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1721]) ).

cnf(c_0_1722_0,axiom,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1722]) ).

cnf(c_0_1722_1,axiom,
    ( ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1722]) ).

cnf(c_0_1723_0,axiom,
    ( c_in(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X3),tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1723]) ).

cnf(c_0_1723_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X3),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1723]) ).

cnf(c_0_1724_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1724]) ).

cnf(c_0_1724_1,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1724]) ).

cnf(c_0_1725_0,axiom,
    ( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1725]) ).

cnf(c_0_1725_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1725]) ).

cnf(c_0_1726_0,axiom,
    ( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1726]) ).

cnf(c_0_1726_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1726]) ).

cnf(c_0_1727_0,axiom,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1727]) ).

cnf(c_0_1727_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1727]) ).

cnf(c_0_1728_0,axiom,
    ( c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1728]) ).

cnf(c_0_1728_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1728]) ).

cnf(c_0_1729_0,axiom,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1729]) ).

cnf(c_0_1729_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1729]) ).

cnf(c_0_1730_0,axiom,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1730]) ).

cnf(c_0_1730_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1730]) ).

cnf(c_0_1731_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1731]) ).

cnf(c_0_1731_1,axiom,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1731]) ).

cnf(c_0_1732_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1732]) ).

cnf(c_0_1732_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2
    | c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1732]) ).

cnf(c_0_1733_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1733]) ).

cnf(c_0_1733_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1733]) ).

cnf(c_0_1734_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1734]) ).

cnf(c_0_1734_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1734]) ).

cnf(c_0_1735_0,axiom,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1735]) ).

cnf(c_0_1735_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1735]) ).

cnf(c_0_1735_2,axiom,
    ( ~ hBOOL(hAPP(X1,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1735]) ).

cnf(c_0_1736_0,axiom,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1736]) ).

cnf(c_0_1736_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1736]) ).

cnf(c_0_1736_2,axiom,
    ( ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1736]) ).

cnf(c_0_1737_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1737]) ).

cnf(c_0_1737_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1737]) ).

cnf(c_0_1737_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1737]) ).

cnf(c_0_1738_0,axiom,
    ( hBOOL(hAPP(X3,X1))
    | ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1738]) ).

cnf(c_0_1738_1,axiom,
    ( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | hBOOL(hAPP(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1738]) ).

cnf(c_0_1739_0,axiom,
    ( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1739]) ).

cnf(c_0_1739_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg)
    | c_in(X1,c_Event_Oused(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1739]) ).

cnf(c_0_1740_0,axiom,
    ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1740]) ).

cnf(c_0_1740_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg)
    | c_in(X2,c_Event_Oused(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1740]) ).

cnf(c_0_1741_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1741]) ).

cnf(c_0_1741_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1741]) ).

cnf(c_0_1742_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1742]) ).

cnf(c_0_1742_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1742]) ).

cnf(c_0_1743_0,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1743]) ).

cnf(c_0_1743_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1743]) ).

cnf(c_0_1744_0,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1744]) ).

cnf(c_0_1744_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1744]) ).

cnf(c_0_1745_0,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1745]) ).

cnf(c_0_1745_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1745]) ).

cnf(c_0_1746_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1746]) ).

cnf(c_0_1746_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1746]) ).

cnf(c_0_1747_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1747]) ).

cnf(c_0_1747_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1747]) ).

cnf(c_0_1748_0,axiom,
    ( c_in(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1748]) ).

cnf(c_0_1748_1,axiom,
    ( c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1748]) ).

cnf(c_0_1749_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1749]) ).

cnf(c_0_1749_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1749]) ).

cnf(c_0_1749_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1749]) ).

cnf(c_0_1749_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1749]) ).

cnf(c_0_1750_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1750]) ).

cnf(c_0_1750_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1750]) ).

cnf(c_0_1750_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1750]) ).

cnf(c_0_1750_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1750]) ).

cnf(c_0_1751_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1751]) ).

cnf(c_0_1751_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1751]) ).

cnf(c_0_1751_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1751]) ).

cnf(c_0_1751_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1751]) ).

cnf(c_0_1752_0,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1752]) ).

cnf(c_0_1752_1,axiom,
    ( c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1752]) ).

cnf(c_0_1753_0,axiom,
    ( X1 = X2
    | c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1753]) ).

cnf(c_0_1753_1,axiom,
    ( c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1753]) ).

cnf(c_0_1754_0,axiom,
    ( X1 = X2
    | c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1754]) ).

cnf(c_0_1754_1,axiom,
    ( c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1754]) ).

cnf(c_0_1755_0,axiom,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1755]) ).

cnf(c_0_1755_1,axiom,
    ( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1755]) ).

cnf(c_0_1756_0,axiom,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1756]) ).

cnf(c_0_1756_1,axiom,
    ( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1756]) ).

cnf(c_0_1757_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1757]) ).

cnf(c_0_1757_1,axiom,
    ( c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1757]) ).

cnf(c_0_1758_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1758]) ).

cnf(c_0_1758_1,axiom,
    ( c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1758]) ).

cnf(c_0_1759_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1759]) ).

cnf(c_0_1759_1,axiom,
    ( c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1759]) ).

cnf(c_0_1760_0,axiom,
    ( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1760]) ).

cnf(c_0_1760_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Oused(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1760]) ).

cnf(c_0_1761_0,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1761]) ).

cnf(c_0_1761_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1761]) ).

cnf(c_0_1762_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1762]) ).

cnf(c_0_1762_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1762]) ).

cnf(c_0_1763_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1763]) ).

cnf(c_0_1763_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1763]) ).

cnf(c_0_1764_0,axiom,
    ( c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(hAPP(c_Message_OinvKey,X1),c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1764_1,axiom,
    ( ~ c_in(hAPP(c_Message_OinvKey,X1),c_Message_OsymKeys,tc_nat)
    | c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1765_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1765]) ).

cnf(c_0_1765_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1765]) ).

cnf(c_0_1766_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1766]) ).

cnf(c_0_1766_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1766]) ).

cnf(c_0_1767_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1767]) ).

cnf(c_0_1767_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1767]) ).

cnf(c_0_1768_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1768]) ).

cnf(c_0_1768_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1768]) ).

cnf(c_0_1769_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1769_1,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1770_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1770]) ).

cnf(c_0_1770_1,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1770]) ).

cnf(c_0_1771_0,axiom,
    ( c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1771]) ).

cnf(c_0_1771_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1771]) ).

cnf(c_0_1772_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1772]) ).

cnf(c_0_1772_1,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1772]) ).

cnf(c_0_1773_0,axiom,
    ( c_in(hAPP(c_Message_OinvKey,X1),c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1773]) ).

cnf(c_0_1773_1,axiom,
    ( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | c_in(hAPP(c_Message_OinvKey,X1),c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1773]) ).

cnf(c_0_1774_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1774]) ).

cnf(c_0_1774_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1774]) ).

cnf(c_0_1775_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1775]) ).

cnf(c_0_1775_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1775]) ).

cnf(c_0_1776_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1776]) ).

cnf(c_0_1776_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1776]) ).

cnf(c_0_1777_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1777]) ).

cnf(c_0_1777_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1777]) ).

cnf(c_0_1777_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1777]) ).

cnf(c_0_1778_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1778]) ).

cnf(c_0_1778_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1778]) ).

cnf(c_0_1778_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1778]) ).

cnf(c_0_1779_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1779]) ).

cnf(c_0_1779_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1779]) ).

cnf(c_0_1779_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1779]) ).

cnf(c_0_1780_0,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1780]) ).

cnf(c_0_1780_1,axiom,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1780]) ).

cnf(c_0_1781_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1781]) ).

cnf(c_0_1781_1,axiom,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1781]) ).

cnf(c_0_1782_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1782]) ).

cnf(c_0_1782_1,axiom,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1782]) ).

cnf(c_0_1783_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1783]) ).

cnf(c_0_1783_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1783]) ).

cnf(c_0_1784_0,axiom,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1784]) ).

cnf(c_0_1784_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1784]) ).

cnf(c_0_1785_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1785]) ).

cnf(c_0_1785_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1785]) ).

cnf(c_0_1785_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1785]) ).

cnf(c_0_1786_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
    | ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption)) ),
    inference(literals_permutation,[status(thm)],[c_0_1786]) ).

cnf(c_0_1786_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
    | hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption)) ),
    inference(literals_permutation,[status(thm)],[c_0_1786]) ).

cnf(c_0_1786_2,axiom,
    ( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
    | ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1786]) ).

cnf(c_0_1787_0,axiom,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1787]) ).

cnf(c_0_1787_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | hBOOL(hAPP(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1787]) ).

cnf(c_0_1788_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1788]) ).

cnf(c_0_1788_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1788]) ).

cnf(c_0_1789_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1789]) ).

cnf(c_0_1789_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1789]) ).

cnf(c_0_1790_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1790]) ).

cnf(c_0_1790_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1790]) ).

cnf(c_0_1790_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1790]) ).

cnf(c_0_1791_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1791]) ).

cnf(c_0_1791_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1791]) ).

cnf(c_0_1791_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1791]) ).

cnf(c_0_1792_0,axiom,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1792]) ).

cnf(c_0_1792_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1792]) ).

cnf(c_0_1793_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1793]) ).

cnf(c_0_1793_1,axiom,
    ( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1793]) ).

cnf(c_0_1794_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1794]) ).

cnf(c_0_1794_1,axiom,
    ( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1794]) ).

cnf(c_0_1795_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1795]) ).

cnf(c_0_1795_1,axiom,
    ( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1795]) ).

cnf(c_0_1796_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1796]) ).

cnf(c_0_1796_1,axiom,
    ( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1796]) ).

cnf(c_0_1797_0,axiom,
    ( hAPP(c_Message_OinvKey,X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1797]) ).

cnf(c_0_1797_1,axiom,
    ( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | hAPP(c_Message_OinvKey,X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1797]) ).

cnf(c_0_1798_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1798]) ).

cnf(c_0_1798_1,axiom,
    ( c_List_Oappend(X1,X3,X2) != X3
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1798]) ).

cnf(c_0_1799_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1799]) ).

cnf(c_0_1799_1,axiom,
    ( c_List_Oappend(X1,X3,X2) != X3
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1799]) ).

cnf(c_0_1800_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1800]) ).

cnf(c_0_1800_1,axiom,
    ( c_List_Oappend(X3,X1,X2) != X3
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1800]) ).

cnf(c_0_1801_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1801]) ).

cnf(c_0_1801_1,axiom,
    ( c_List_Oappend(X3,X1,X2) != X3
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1801]) ).

cnf(c_0_1802_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1802]) ).

cnf(c_0_1802_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1802]) ).

cnf(c_0_1803_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1803]) ).

cnf(c_0_1803_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1803]) ).

cnf(c_0_1804_0,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1804]) ).

cnf(c_0_1804_1,axiom,
    ( ~ c_fequal(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1804]) ).

cnf(c_0_1805_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1805]) ).

cnf(c_0_1805_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1805]) ).

cnf(c_0_1806_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1806]) ).

cnf(c_0_1806_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1806]) ).

cnf(c_0_1807_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_List_Oset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1807]) ).

cnf(c_0_1807_1,axiom,
    ( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_List_Oset(X1,X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1807]) ).

cnf(c_0_1808_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oset(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1808]) ).

cnf(c_0_1808_1,axiom,
    ( c_List_Oset(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1808]) ).

cnf(c_0_1809_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1809]) ).

cnf(c_0_1809_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1809]) ).

cnf(c_0_1810_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1810]) ).

cnf(c_0_1810_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1810]) ).

cnf(c_0_1811_0,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1811]) ).

cnf(c_0_1811_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1811]) ).

cnf(c_0_1812_0,axiom,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1812]) ).

cnf(c_0_1812_1,axiom,
    ( ~ class_Orderings_Otop(X2)
    | c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1812]) ).

cnf(c_0_1813_0,axiom,
    ( X1 = X2
    | hAPP(c_Public_OpublicKey(X1),X3) != hAPP(c_Public_OpublicKey(X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1813]) ).

cnf(c_0_1813_1,axiom,
    ( hAPP(c_Public_OpublicKey(X1),X3) != hAPP(c_Public_OpublicKey(X2),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1813]) ).

cnf(c_0_1814_0,axiom,
    ( X1 = X2
    | hAPP(c_Public_OpublicKey(X3),X1) != hAPP(c_Public_OpublicKey(X4),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1814]) ).

cnf(c_0_1814_1,axiom,
    ( hAPP(c_Public_OpublicKey(X3),X1) != hAPP(c_Public_OpublicKey(X4),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1814]) ).

cnf(c_0_1815_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1815]) ).

cnf(c_0_1815_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1815]) ).

cnf(c_0_1816_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1816_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1817_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1817]) ).

cnf(c_0_1817_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1817]) ).

cnf(c_0_1818_0,axiom,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1818_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1818_2,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1819_0,axiom,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1819]) ).

cnf(c_0_1819_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1819]) ).

cnf(c_0_1819_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1819]) ).

cnf(c_0_1820_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1820_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1821_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1821_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1822_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1822_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1823_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1823_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1824_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1824]) ).

cnf(c_0_1824_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1824]) ).

cnf(c_0_1825_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1825]) ).

cnf(c_0_1825_1,axiom,
    ( c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1825]) ).

cnf(c_0_1826_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1826]) ).

cnf(c_0_1826_1,axiom,
    ( c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1826]) ).

cnf(c_0_1827_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1827]) ).

cnf(c_0_1827_1,axiom,
    ( c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1827]) ).

cnf(c_0_1828_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1828]) ).

cnf(c_0_1828_1,axiom,
    ( c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1828]) ).

cnf(c_0_1829_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1829]) ).

cnf(c_0_1829_1,axiom,
    ( c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1829]) ).

cnf(c_0_1830_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1830]) ).

cnf(c_0_1830_1,axiom,
    ( c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1830]) ).

cnf(c_0_1831_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1831]) ).

cnf(c_0_1831_1,axiom,
    ( c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1831]) ).

cnf(c_0_1832_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1832]) ).

cnf(c_0_1832_1,axiom,
    ( c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1832]) ).

cnf(c_0_1833_0,axiom,
    ( X1 = X2
    | hAPP(c_Message_OinvKey,X1) != hAPP(c_Message_OinvKey,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1833]) ).

cnf(c_0_1833_1,axiom,
    ( hAPP(c_Message_OinvKey,X1) != hAPP(c_Message_OinvKey,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1833]) ).

cnf(c_0_1834_0,axiom,
    ( X1 = X2
    | hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1834]) ).

cnf(c_0_1834_1,axiom,
    ( hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1834]) ).

cnf(c_0_1835_0,axiom,
    ( X1 = X2
    | hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1835]) ).

cnf(c_0_1835_1,axiom,
    ( hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1835]) ).

cnf(c_0_1836_0,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1836]) ).

cnf(c_0_1836_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Oupper__semilattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1836]) ).

cnf(c_0_1837_0,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1837]) ).

cnf(c_0_1837_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1837]) ).

cnf(c_0_1838_0,axiom,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1838]) ).

cnf(c_0_1838_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | class_Lattices_Oboolean__algebra(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1838]) ).

cnf(c_0_1839_0,axiom,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1839_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1840_0,axiom,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1840]) ).

cnf(c_0_1840_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1840]) ).

cnf(c_0_1841_0,axiom,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1841]) ).

cnf(c_0_1841_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1841]) ).

cnf(c_0_1842_0,axiom,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1842]) ).

cnf(c_0_1842_1,axiom,
    ( ~ class_Orderings_Otop(X1)
    | class_Orderings_Otop(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1842]) ).

cnf(c_0_1843_0,axiom,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1843]) ).

cnf(c_0_1843_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1843]) ).

cnf(c_0_1844_0,axiom,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1844]) ).

cnf(c_0_1844_1,axiom,
    ( ~ class_HOL_Oord(X1)
    | class_HOL_Oord(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1844]) ).

cnf(c_0_1845_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1845]) ).

cnf(c_0_1845_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1845]) ).

cnf(c_0_1846_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1846]) ).

cnf(c_0_1846_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1846]) ).

cnf(c_0_1847_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1847]) ).

cnf(c_0_1847_1,axiom,
    ( c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1847]) ).

cnf(c_0_1848_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1848]) ).

cnf(c_0_1848_1,axiom,
    ( c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1848]) ).

cnf(c_0_1849_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1849]) ).

cnf(c_0_1849_1,axiom,
    ( c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1849]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_1281,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    file('<stdin>',cls_conjecture_3) ).

fof(c_0_1_1282,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
    file('<stdin>',cls_conjecture_5) ).

fof(c_0_2_1283,negated_conjecture,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    file('<stdin>',cls_conjecture_4) ).

fof(c_0_3_1284,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    file('<stdin>',cls_conjecture_2) ).

fof(c_0_4_1285,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_5_1286,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_6_1287,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    c_0_0 ).

fof(c_0_7_1288,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_8_1289,negated_conjecture,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    c_0_2 ).

fof(c_0_9_1290,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_10_1291,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_11_1292,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_12_1293,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    c_0_6 ).

fof(c_0_13_1294,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
    c_0_7 ).

fof(c_0_14_1295,negated_conjecture,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    c_0_8 ).

fof(c_0_15_1296,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    c_0_9 ).

fof(c_0_16_1297,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    c_0_10 ).

fof(c_0_17_1298,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    c_0_11 ).

cnf(c_0_18_1299,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19_1300,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20_1301,negated_conjecture,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21_1302,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22_1303,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23_1304,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24_1305,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    c_0_18,
    [final] ).

cnf(c_0_25_1306,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
    c_0_19,
    [final] ).

cnf(c_0_26_1307,negated_conjecture,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    c_0_20,
    [final] ).

cnf(c_0_27_1308,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    c_0_21,
    [final] ).

cnf(c_0_28_1309,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    c_0_22,
    [final] ).

cnf(c_0_29_1310,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    c_0_23,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_1240,negated_conjecture,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a5022b.p',c_0_26) ).

cnf(c_1726,negated_conjecture,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    inference(copy,[status(esa)],[c_1240]) ).

cnf(c_1745,negated_conjecture,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    inference(copy,[status(esa)],[c_1726]) ).

cnf(c_1746,negated_conjecture,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    inference(copy,[status(esa)],[c_1745]) ).

cnf(c_1755,negated_conjecture,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    inference(copy,[status(esa)],[c_1746]) ).

cnf(c_5374,plain,
    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_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    inference(copy,[status(esa)],[c_1755]) ).

cnf(c_607,plain,
    ( c_in(X0,X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a5022b.p',c_0_1682_2) ).

cnf(c_4213,plain,
    ( c_in(X0,X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_in(X0,X3,X2) ),
    inference(copy,[status(esa)],[c_607]) ).

cnf(c_4214,plain,
    ( c_in(X0,X1,X2)
    | ~ c_in(X0,X3,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(rewriting,[status(thm)],[c_4213]) ).

cnf(c_5566,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),X0,tc_Message_Omsg)
    | ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(resolution,[status(thm)],[c_5374,c_4214]) ).

cnf(c_5567,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),X0,tc_Message_Omsg)
    | ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(rewriting,[status(thm)],[c_5566]) ).

cnf(c_1024,plain,
    c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a5022b.p',c_0_1234_0) ).

cnf(c_5036,plain,
    c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(copy,[status(esa)],[c_1024]) ).

cnf(c_7054,plain,
    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_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_5567,c_5036]) ).

cnf(c_7055,plain,
    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_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    inference(rewriting,[status(thm)],[c_7054]) ).

cnf(c_1105,plain,
    ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a5022b.p',c_0_1153_0) ).

cnf(c_5157,plain,
    ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    inference(copy,[status(esa)],[c_1105]) ).

cnf(c_9085,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_7055,c_5157]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV799-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14  % Command  : iprover_modulo %s %d
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 15 02:09:44 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Running in mono-core mode
% 0.37/0.54  % Orienting using strategy Equiv(ClausalAll)
% 0.37/0.54  % Orientation found
% 0.37/0.54  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a25561.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_a5022b.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_fe951f | grep -v "SZS"
% 0.40/0.56  
% 0.40/0.56  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.40/0.56  
% 0.40/0.56  % 
% 0.40/0.56  % ------  iProver source info 
% 0.40/0.56  
% 0.40/0.56  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.40/0.56  % git: non_committed_changes: true
% 0.40/0.56  % git: last_make_outside_of_git: true
% 0.40/0.56  
% 0.40/0.56  % 
% 0.40/0.56  % ------ Input Options
% 0.40/0.56  
% 0.40/0.56  % --out_options                         all
% 0.40/0.56  % --tptp_safe_out                       true
% 0.40/0.56  % --problem_path                        ""
% 0.40/0.56  % --include_path                        ""
% 0.40/0.56  % --clausifier                          .//eprover
% 0.40/0.56  % --clausifier_options                  --tstp-format  
% 0.40/0.56  % --stdin                               false
% 0.40/0.56  % --dbg_backtrace                       false
% 0.40/0.56  % --dbg_dump_prop_clauses               false
% 0.40/0.56  % --dbg_dump_prop_clauses_file          -
% 0.40/0.56  % --dbg_out_stat                        false
% 0.40/0.56  
% 0.40/0.56  % ------ General Options
% 0.40/0.56  
% 0.40/0.56  % --fof                                 false
% 0.40/0.56  % --time_out_real                       150.
% 0.40/0.56  % --time_out_prep_mult                  0.2
% 0.40/0.56  % --time_out_virtual                    -1.
% 0.40/0.56  % --schedule                            none
% 0.40/0.56  % --ground_splitting                    input
% 0.40/0.56  % --splitting_nvd                       16
% 0.40/0.56  % --non_eq_to_eq                        false
% 0.40/0.56  % --prep_gs_sim                         true
% 0.40/0.56  % --prep_unflatten                      false
% 0.40/0.56  % --prep_res_sim                        true
% 0.40/0.56  % --prep_upred                          true
% 0.40/0.56  % --res_sim_input                       true
% 0.40/0.56  % --clause_weak_htbl                    true
% 0.40/0.56  % --gc_record_bc_elim                   false
% 0.40/0.56  % --symbol_type_check                   false
% 0.40/0.56  % --clausify_out                        false
% 0.40/0.56  % --large_theory_mode                   false
% 0.40/0.56  % --prep_sem_filter                     none
% 0.40/0.56  % --prep_sem_filter_out                 false
% 0.40/0.56  % --preprocessed_out                    false
% 0.40/0.56  % --sub_typing                          false
% 0.40/0.56  % --brand_transform                     false
% 0.40/0.56  % --pure_diseq_elim                     true
% 0.40/0.56  % --min_unsat_core                      false
% 0.40/0.56  % --pred_elim                           true
% 0.40/0.56  % --add_important_lit                   false
% 0.40/0.56  % --soft_assumptions                    false
% 0.40/0.56  % --reset_solvers                       false
% 0.40/0.56  % --bc_imp_inh                          []
% 0.40/0.56  % --conj_cone_tolerance                 1.5
% 0.40/0.56  % --prolific_symb_bound                 500
% 0.40/0.56  % --lt_threshold                        2000
% 0.40/0.56  
% 0.40/0.56  % ------ SAT Options
% 0.40/0.56  
% 0.40/0.56  % --sat_mode                            false
% 0.40/0.56  % --sat_fm_restart_options              ""
% 0.40/0.56  % --sat_gr_def                          false
% 0.40/0.56  % --sat_epr_types                       true
% 0.40/0.56  % --sat_non_cyclic_types                false
% 0.40/0.56  % --sat_finite_models                   false
% 0.40/0.56  % --sat_fm_lemmas                       false
% 0.40/0.56  % --sat_fm_prep                         false
% 0.40/0.56  % --sat_fm_uc_incr                      true
% 0.40/0.56  % --sat_out_model                       small
% 0.40/0.56  % --sat_out_clauses                     false
% 0.40/0.56  
% 0.40/0.56  % ------ QBF Options
% 0.40/0.56  
% 0.40/0.56  % --qbf_mode                            false
% 0.40/0.56  % --qbf_elim_univ                       true
% 0.40/0.56  % --qbf_sk_in                           true
% 0.40/0.56  % --qbf_pred_elim                       true
% 0.40/0.56  % --qbf_split                           32
% 0.40/0.56  
% 0.40/0.56  % ------ BMC1 Options
% 0.40/0.56  
% 0.40/0.56  % --bmc1_incremental                    false
% 0.40/0.56  % --bmc1_axioms                         reachable_all
% 0.40/0.56  % --bmc1_min_bound                      0
% 0.40/0.56  % --bmc1_max_bound                      -1
% 0.40/0.56  % --bmc1_max_bound_default              -1
% 0.40/0.56  % --bmc1_symbol_reachability            true
% 0.40/0.56  % --bmc1_property_lemmas                false
% 0.40/0.56  % --bmc1_k_induction                    false
% 0.40/0.56  % --bmc1_non_equiv_states               false
% 0.40/0.56  % --bmc1_deadlock                       false
% 0.40/0.56  % --bmc1_ucm                            false
% 0.40/0.56  % --bmc1_add_unsat_core                 none
% 0.40/0.56  % --bmc1_unsat_core_children            false
% 0.40/0.56  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.40/0.56  % --bmc1_out_stat                       full
% 0.40/0.56  % --bmc1_ground_init                    false
% 0.40/0.56  % --bmc1_pre_inst_next_state            false
% 0.40/0.56  % --bmc1_pre_inst_state                 false
% 0.40/0.56  % --bmc1_pre_inst_reach_state           false
% 0.40/0.56  % --bmc1_out_unsat_core                 false
% 0.40/0.56  % --bmc1_aig_witness_out                false
% 0.40/0.56  % --bmc1_verbose                        false
% 0.40/0.56  % --bmc1_dump_clauses_tptp              false
% 8.57/8.92  % --bmc1_dump_unsat_core_tptp           false
% 8.57/8.92  % --bmc1_dump_file                      -
% 8.57/8.92  % --bmc1_ucm_expand_uc_limit            128
% 8.57/8.92  % --bmc1_ucm_n_expand_iterations        6
% 8.57/8.92  % --bmc1_ucm_extend_mode                1
% 8.57/8.92  % --bmc1_ucm_init_mode                  2
% 8.57/8.92  % --bmc1_ucm_cone_mode                  none
% 8.57/8.92  % --bmc1_ucm_reduced_relation_type      0
% 8.57/8.92  % --bmc1_ucm_relax_model                4
% 8.57/8.92  % --bmc1_ucm_full_tr_after_sat          true
% 8.57/8.92  % --bmc1_ucm_expand_neg_assumptions     false
% 8.57/8.92  % --bmc1_ucm_layered_model              none
% 8.57/8.92  % --bmc1_ucm_max_lemma_size             10
% 8.57/8.92  
% 8.57/8.92  % ------ AIG Options
% 8.57/8.92  
% 8.57/8.92  % --aig_mode                            false
% 8.57/8.92  
% 8.57/8.92  % ------ Instantiation Options
% 8.57/8.92  
% 8.57/8.92  % --instantiation_flag                  true
% 8.57/8.92  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 8.57/8.92  % --inst_solver_per_active              750
% 8.57/8.92  % --inst_solver_calls_frac              0.5
% 8.57/8.92  % --inst_passive_queue_type             priority_queues
% 8.57/8.92  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 8.57/8.92  % --inst_passive_queues_freq            [25;2]
% 8.57/8.92  % --inst_dismatching                    true
% 8.57/8.92  % --inst_eager_unprocessed_to_passive   true
% 8.57/8.92  % --inst_prop_sim_given                 true
% 8.57/8.92  % --inst_prop_sim_new                   false
% 8.57/8.92  % --inst_orphan_elimination             true
% 8.57/8.92  % --inst_learning_loop_flag             true
% 8.57/8.92  % --inst_learning_start                 3000
% 8.57/8.92  % --inst_learning_factor                2
% 8.57/8.92  % --inst_start_prop_sim_after_learn     3
% 8.57/8.92  % --inst_sel_renew                      solver
% 8.57/8.92  % --inst_lit_activity_flag              true
% 8.57/8.92  % --inst_out_proof                      true
% 8.57/8.92  
% 8.57/8.92  % ------ Resolution Options
% 8.57/8.92  
% 8.57/8.92  % --resolution_flag                     true
% 8.57/8.92  % --res_lit_sel                         kbo_max
% 8.57/8.92  % --res_to_prop_solver                  none
% 8.57/8.92  % --res_prop_simpl_new                  false
% 8.57/8.92  % --res_prop_simpl_given                false
% 8.57/8.92  % --res_passive_queue_type              priority_queues
% 8.57/8.92  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 8.57/8.92  % --res_passive_queues_freq             [15;5]
% 8.57/8.92  % --res_forward_subs                    full
% 8.57/8.92  % --res_backward_subs                   full
% 8.57/8.92  % --res_forward_subs_resolution         true
% 8.57/8.92  % --res_backward_subs_resolution        true
% 8.57/8.92  % --res_orphan_elimination              false
% 8.57/8.92  % --res_time_limit                      1000.
% 8.57/8.92  % --res_out_proof                       true
% 8.57/8.92  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_a25561.s
% 8.57/8.92  % --modulo                              true
% 8.57/8.92  
% 8.57/8.92  % ------ Combination Options
% 8.57/8.92  
% 8.57/8.92  % --comb_res_mult                       1000
% 8.57/8.92  % --comb_inst_mult                      300
% 8.57/8.92  % ------ 
% 8.57/8.92  
% 8.57/8.92  % ------ Parsing...% successful
% 8.57/8.92  
% 8.57/8.92  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 8.57/8.92  
% 8.57/8.92  % ------ Proving...
% 8.57/8.92  % ------ Problem Properties 
% 8.57/8.92  
% 8.57/8.92  % 
% 8.57/8.92  % EPR                                   false
% 8.57/8.92  % Horn                                  false
% 8.57/8.92  % Has equality                          true
% 8.57/8.92  
% 8.57/8.92  % % ------ Input Options Time Limit: Unbounded
% 8.57/8.92  
% 8.57/8.92  
% 8.57/8.92  Compiling...
% 8.57/8.92  Loading plugin: done.
% 8.57/8.92  Compiling...
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% 8.57/8.92  Compiling...
% 13.15/13.47  Loading plugin: done.
% 13.15/13.47  Compiling...
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% 13.15/13.47  Compiling...
% 13.15/13.47  Loading plugin: done.
% 13.15/13.47  % % ------ Current options:
% 13.15/13.47  
% 13.15/13.47  % ------ Input Options
% 13.15/13.47  
% 13.15/13.47  % --out_options                         all
% 13.15/13.47  % --tptp_safe_out                       true
% 13.15/13.47  % --problem_path                        ""
% 13.15/13.47  % --include_path                        ""
% 13.15/13.47  % --clausifier                          .//eprover
% 13.15/13.47  % --clausifier_options                  --tstp-format  
% 13.15/13.47  % --stdin                               false
% 13.15/13.47  % --dbg_backtrace                       false
% 13.15/13.47  % --dbg_dump_prop_clauses               false
% 13.15/13.47  % --dbg_dump_prop_clauses_file          -
% 13.15/13.47  % --dbg_out_stat                        false
% 13.15/13.47  
% 13.15/13.47  % ------ General Options
% 13.15/13.47  
% 13.15/13.47  % --fof                                 false
% 13.15/13.47  % --time_out_real                       150.
% 13.15/13.47  % --time_out_prep_mult                  0.2
% 13.15/13.47  % --time_out_virtual                    -1.
% 13.15/13.47  % --schedule                            none
% 13.15/13.47  % --ground_splitting                    input
% 13.15/13.47  % --splitting_nvd                       16
% 13.15/13.47  % --non_eq_to_eq                        false
% 13.15/13.47  % --prep_gs_sim                         true
% 13.15/13.47  % --prep_unflatten                      false
% 13.15/13.47  % --prep_res_sim                        true
% 13.15/13.47  % --prep_upred                          true
% 13.15/13.47  % --res_sim_input                       true
% 13.15/13.47  % --clause_weak_htbl                    true
% 13.15/13.47  % --gc_record_bc_elim                   false
% 13.15/13.47  % --symbol_type_check                   false
% 13.15/13.47  % --clausify_out                        false
% 13.15/13.47  % --large_theory_mode                   false
% 13.15/13.47  % --prep_sem_filter                     none
% 13.15/13.47  % --prep_sem_filter_out                 false
% 13.15/13.47  % --preprocessed_out                    false
% 13.15/13.47  % --sub_typing                          false
% 13.15/13.47  % --brand_transform                     false
% 13.15/13.47  % --pure_diseq_elim                     true
% 13.15/13.47  % --min_unsat_core                      false
% 13.15/13.47  % --pred_elim                           true
% 13.15/13.47  % --add_important_lit                   false
% 13.15/13.47  % --soft_assumptions                    false
% 13.15/13.47  % --reset_solvers                       false
% 13.15/13.47  % --bc_imp_inh                          []
% 13.15/13.47  % --conj_cone_tolerance                 1.5
% 13.15/13.47  % --prolific_symb_bound                 500
% 13.15/13.47  % --lt_threshold                        2000
% 13.15/13.47  
% 13.15/13.47  % ------ SAT Options
% 13.15/13.47  
% 13.15/13.47  % --sat_mode                            false
% 13.15/13.47  % --sat_fm_restart_options              ""
% 13.15/13.47  % --sat_gr_def                          false
% 13.15/13.47  % --sat_epr_types                       true
% 13.15/13.47  % --sat_non_cyclic_types                false
% 13.15/13.47  % --sat_finite_models                   false
% 13.15/13.47  % --sat_fm_lemmas                       false
% 13.15/13.47  % --sat_fm_prep                         false
% 13.15/13.47  % --sat_fm_uc_incr                      true
% 13.15/13.47  % --sat_out_model                       small
% 13.15/13.47  % --sat_out_clauses                     false
% 13.15/13.47  
% 13.15/13.47  % ------ QBF Options
% 13.15/13.47  
% 13.15/13.47  % --qbf_mode                            false
% 13.15/13.47  % --qbf_elim_univ                       true
% 13.15/13.47  % --qbf_sk_in                           true
% 13.15/13.47  % --qbf_pred_elim                       true
% 13.15/13.47  % --qbf_split                           32
% 13.15/13.47  
% 13.15/13.47  % ------ BMC1 Options
% 13.15/13.47  
% 13.15/13.47  % --bmc1_incremental                    false
% 13.15/13.47  % --bmc1_axioms                         reachable_all
% 13.15/13.47  % --bmc1_min_bound                      0
% 13.15/13.47  % --bmc1_max_bound                      -1
% 13.15/13.47  % --bmc1_max_bound_default              -1
% 13.15/13.47  % --bmc1_symbol_reachability            true
% 13.15/13.47  % --bmc1_property_lemmas                false
% 13.15/13.47  % --bmc1_k_induction                    false
% 13.15/13.47  % --bmc1_non_equiv_states               false
% 13.15/13.47  % --bmc1_deadlock                       false
% 13.15/13.47  % --bmc1_ucm                            false
% 13.15/13.47  % --bmc1_add_unsat_core                 none
% 13.15/13.47  % --bmc1_unsat_core_children            false
% 13.15/13.47  % --bmc1_unsat_core_extrapolate_axioms  false
% 13.15/13.47  % --bmc1_out_stat                       full
% 13.15/13.47  % --bmc1_ground_init                    false
% 13.15/13.47  % --bmc1_pre_inst_next_state            false
% 13.15/13.47  % --bmc1_pre_inst_state                 false
% 13.15/13.47  % --bmc1_pre_inst_reach_state           false
% 13.15/13.47  % --bmc1_out_unsat_core                 false
% 13.43/13.69  % --bmc1_aig_witness_out                false
% 13.43/13.69  % --bmc1_verbose                        false
% 13.43/13.69  % --bmc1_dump_clauses_tptp              false
% 13.43/13.69  % --bmc1_dump_unsat_core_tptp           false
% 13.43/13.69  % --bmc1_dump_file                      -
% 13.43/13.69  % --bmc1_ucm_expand_uc_limit            128
% 13.43/13.69  % --bmc1_ucm_n_expand_iterations        6
% 13.43/13.69  % --bmc1_ucm_extend_mode                1
% 13.43/13.69  % --bmc1_ucm_init_mode                  2
% 13.43/13.69  % --bmc1_ucm_cone_mode                  none
% 13.43/13.69  % --bmc1_ucm_reduced_relation_type      0
% 13.43/13.69  % --bmc1_ucm_relax_model                4
% 13.43/13.69  % --bmc1_ucm_full_tr_after_sat          true
% 13.43/13.69  % --bmc1_ucm_expand_neg_assumptions     false
% 13.43/13.69  % --bmc1_ucm_layered_model              none
% 13.43/13.69  % --bmc1_ucm_max_lemma_size             10
% 13.43/13.69  
% 13.43/13.69  % ------ AIG Options
% 13.43/13.69  
% 13.43/13.69  % --aig_mode                            false
% 13.43/13.69  
% 13.43/13.69  % ------ Instantiation Options
% 13.43/13.69  
% 13.43/13.69  % --instantiation_flag                  true
% 13.43/13.69  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 13.43/13.69  % --inst_solver_per_active              750
% 13.43/13.69  % --inst_solver_calls_frac              0.5
% 13.43/13.69  % --inst_passive_queue_type             priority_queues
% 13.43/13.69  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 13.43/13.69  % --inst_passive_queues_freq            [25;2]
% 13.43/13.69  % --inst_dismatching                    true
% 13.43/13.69  % --inst_eager_unprocessed_to_passive   true
% 13.43/13.69  % --inst_prop_sim_given                 true
% 13.43/13.69  % --inst_prop_sim_new                   false
% 13.43/13.69  % --inst_orphan_elimination             true
% 13.43/13.69  % --inst_learning_loop_flag             true
% 13.43/13.69  % --inst_learning_start                 3000
% 13.43/13.69  % --inst_learning_factor                2
% 13.43/13.69  % --inst_start_prop_sim_after_learn     3
% 13.43/13.69  % --inst_sel_renew                      solver
% 13.43/13.69  % --inst_lit_activity_flag              true
% 13.43/13.69  % --inst_out_proof                      true
% 13.43/13.69  
% 13.43/13.69  % ------ Resolution Options
% 13.43/13.69  
% 13.43/13.69  % --resolution_flag                     true
% 13.43/13.69  % --res_lit_sel                         kbo_max
% 13.43/13.69  % --res_to_prop_solver                  none
% 13.43/13.69  % --res_prop_simpl_new                  false
% 13.43/13.69  % --res_prop_simpl_given                false
% 13.43/13.69  % --res_passive_queue_type              priority_queues
% 13.43/13.69  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 13.43/13.69  % --res_passive_queues_freq             [15;5]
% 13.43/13.69  % --res_forward_subs                    full
% 13.43/13.69  % --res_backward_subs                   full
% 13.43/13.69  % --res_forward_subs_resolution         true
% 13.43/13.69  % --res_backward_subs_resolution        true
% 13.43/13.69  % --res_orphan_elimination              false
% 13.43/13.69  % --res_time_limit                      1000.
% 13.43/13.69  % --res_out_proof                       true
% 13.43/13.69  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_a25561.s
% 13.43/13.69  % --modulo                              true
% 13.43/13.69  
% 13.43/13.69  % ------ Combination Options
% 13.43/13.69  
% 13.43/13.69  % --comb_res_mult                       1000
% 13.43/13.69  % --comb_inst_mult                      300
% 13.43/13.69  % ------ 
% 13.43/13.69  
% 13.43/13.69  
% 13.43/13.69  
% 13.43/13.69  % ------ Proving...
% 13.43/13.69  % 
% 13.43/13.69  
% 13.43/13.69  
% 13.43/13.69  %  Resolution empty clause
% 13.43/13.69  
% 13.43/13.69  % ------                             Statistics
% 13.43/13.69  
% 13.43/13.69  % ------ General
% 13.43/13.69  
% 13.43/13.69  % num_of_input_clauses:                 1241
% 13.43/13.69  % num_of_input_neg_conjectures:         6
% 13.43/13.69  % num_of_splits:                        0
% 13.43/13.69  % num_of_split_atoms:                   0
% 13.43/13.69  % num_of_sem_filtered_clauses:          0
% 13.43/13.69  % num_of_subtypes:                      0
% 13.43/13.69  % monotx_restored_types:                0
% 13.43/13.69  % sat_num_of_epr_types:                 0
% 13.43/13.69  % sat_num_of_non_cyclic_types:          0
% 13.43/13.69  % sat_guarded_non_collapsed_types:      0
% 13.43/13.69  % is_epr:                               0
% 13.43/13.69  % is_horn:                              0
% 13.43/13.69  % has_eq:                               1
% 13.43/13.69  % num_pure_diseq_elim:                  0
% 13.43/13.69  % simp_replaced_by:                     0
% 13.43/13.69  % res_preprocessed:                     12
% 13.43/13.69  % prep_upred:                           0
% 13.43/13.69  % prep_unflattend:                      0
% 13.43/13.69  % pred_elim_cands:                      0
% 13.43/13.69  % pred_elim:                            0
% 13.43/13.69  % pred_elim_cl:                         0
% 13.43/13.69  % pred_elim_cycles:                     0
% 13.43/13.69  % forced_gc_time:                       0
% 13.43/13.69  % gc_basic_clause_elim:                 0
% 13.43/13.69  % parsing_time:                         0.07
% 13.43/13.69  % sem_filter_time:                      0.
% 13.43/13.69  % pred_elim_time:                       0.
% 13.43/13.69  % out_proof_time:                       0.
% 13.43/13.69  % monotx_time:                          0.
% 13.43/13.69  % subtype_inf_time:                     0.
% 13.43/13.69  % unif_index_cands_time:                0.
% 13.43/13.69  % unif_index_add_time:                  0.002
% 13.43/13.69  % total_time:                           13.145
% 13.43/13.69  % num_of_symbols:                       106
% 13.43/13.69  % num_of_terms:                         11524
% 13.43/13.69  
% 13.43/13.69  % ------ Propositional Solver
% 13.43/13.69  
% 13.43/13.69  % prop_solver_calls:                    1
% 13.43/13.69  % prop_fast_solver_calls:               18
% 13.43/13.69  % prop_num_of_clauses:                  1349
% 13.43/13.69  % prop_preprocess_simplified:           3595
% 13.43/13.69  % prop_fo_subsumed:                     0
% 13.43/13.69  % prop_solver_time:                     0.
% 13.43/13.69  % prop_fast_solver_time:                0.
% 13.43/13.69  % prop_unsat_core_time:                 0.
% 13.43/13.69  
% 13.43/13.69  % ------ QBF 
% 13.43/13.69  
% 13.43/13.69  % qbf_q_res:                            0
% 13.43/13.69  % qbf_num_tautologies:                  0
% 13.43/13.69  % qbf_prep_cycles:                      0
% 13.43/13.69  
% 13.43/13.69  % ------ BMC1
% 13.43/13.69  
% 13.43/13.69  % bmc1_current_bound:                   -1
% 13.43/13.69  % bmc1_last_solved_bound:               -1
% 13.43/13.69  % bmc1_unsat_core_size:                 -1
% 13.43/13.69  % bmc1_unsat_core_parents_size:         -1
% 13.43/13.69  % bmc1_merge_next_fun:                  0
% 13.43/13.69  % bmc1_unsat_core_clauses_time:         0.
% 13.43/13.69  
% 13.43/13.69  % ------ Instantiation
% 13.43/13.69  
% 13.43/13.69  % inst_num_of_clauses:                  1140
% 13.43/13.69  % inst_num_in_passive:                  0
% 13.43/13.69  % inst_num_in_active:                   0
% 13.43/13.69  % inst_num_in_unprocessed:              1241
% 13.43/13.69  % inst_num_of_loops:                    0
% 13.43/13.69  % inst_num_of_learning_restarts:        0
% 13.43/13.69  % inst_num_moves_active_passive:        0
% 13.43/13.69  % inst_lit_activity:                    0
% 13.43/13.69  % inst_lit_activity_moves:              0
% 13.43/13.69  % inst_num_tautologies:                 0
% 13.43/13.69  % inst_num_prop_implied:                0
% 13.43/13.69  % inst_num_existing_simplified:         0
% 13.43/13.69  % inst_num_eq_res_simplified:           0
% 13.43/13.69  % inst_num_child_elim:                  0
% 13.43/13.69  % inst_num_of_dismatching_blockings:    0
% 13.43/13.69  % inst_num_of_non_proper_insts:         0
% 13.43/13.69  % inst_num_of_duplicates:               0
% 13.43/13.69  % inst_inst_num_from_inst_to_res:       0
% 13.43/13.69  % inst_dismatching_checking_time:       0.
% 13.43/13.69  
% 13.43/13.69  % ------ Resolution
% 13.43/13.69  
% 13.43/13.69  % res_num_of_clauses:                   2738
% 13.43/13.69  % res_num_in_passive:                   1438
% 13.43/13.69  % res_num_in_active:                    604
% 13.43/13.69  % res_num_of_loops:                     117
% 13.43/13.69  % res_forward_subset_subsumed:          664
% 13.43/13.69  % res_backward_subset_subsumed:         22
% 13.43/13.69  % res_forward_subsumed:                 29
% 13.43/13.69  % res_backward_subsumed:                0
% 13.43/13.69  % res_forward_subsumption_resolution:   1
% 13.43/13.69  % res_backward_subsumption_resolution:  0
% 13.43/13.69  % res_clause_to_clause_subsumption:     281
% 13.43/13.69  % res_orphan_elimination:               0
% 13.43/13.69  % res_tautology_del:                    4
% 13.43/13.69  % res_num_eq_res_simplified:            0
% 13.43/13.69  % res_num_sel_changes:                  0
% 13.43/13.69  % res_moves_from_active_to_pass:        0
% 13.43/13.69  
% 13.43/13.69  % Status Unsatisfiable
% 13.43/13.69  % SZS status Unsatisfiable
% 13.43/13.69  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------