TSTP Solution File: SWV721-1 by iProverMo---2.5-0.1

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV721-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n016.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 19:21:32 EDT 2022

% Result   : Unsatisfiable 11.84s 12.08s
% Output   : CNFRefutation 11.89s
% 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_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_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_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_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_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_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_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_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_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_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_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__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_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_spies__pubK_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg),
    input ).

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

cnf(cls_bool__diff__def__raw_0,axiom,
    c_HOL_Ominus__class_Ominus(v_A,v_B,tc_bool) = c_and(v_A,c_Not(v_B)),
    input ).

fof(cls_bool__diff__def__raw_0_0,plain,
    ( c_HOL_Ominus__class_Ominus(v_A,v_B,tc_bool) = c_and(v_A,c_Not(v_B))
    | $false ),
    inference(orientation,[status(thm)],[cls_bool__diff__def__raw_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_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_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_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_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_drop__map_0,axiom,
    c_List_Odrop(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Odrop(V_n,V_xs,T_b),T_b,T_a),
    input ).

fof(cls_drop__map_0_0,plain,
    ! [T_a,T_b,V_f,V_n,V_xs] :
      ( c_List_Odrop(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Odrop(V_n,V_xs,T_b),T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_drop__map_0]) ).

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

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

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_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_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_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_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_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_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_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_set__sublist__subset_0,axiom,
    c_lessequals(c_List_Oset(c_List_Osublist(V_xs,V_I,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_set__sublist__subset_0_0,plain,
    ! [T_a,V_I,V_xs] :
      ( c_lessequals(c_List_Oset(c_List_Osublist(V_xs,V_I,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_set__sublist__subset_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_set__drop__subset_0,axiom,
    c_lessequals(c_List_Oset(c_List_Odrop(V_n,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_set__drop__subset_0_0,plain,
    ! [T_a,V_n,V_xs] :
      ( c_lessequals(c_List_Oset(c_List_Odrop(V_n,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_set__drop__subset_0]) ).

cnf(cls_publicKey__into__used_0,axiom,
    c_in(c_Message_Omsg_OKey(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(c_Message_Omsg_OKey(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_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_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_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_removeAll_Osimps_I2_J_0,axiom,
    c_List_OremoveAll(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_OremoveAll(V_x,V_xs,T_a),
    input ).

fof(cls_removeAll_Osimps_I2_J_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_OremoveAll(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_OremoveAll(V_x,V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_removeAll_Osimps_I2_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_List_Omember_Osimps_I2_J_1,axiom,
    c_List_Omember(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),
    input ).

fof(cls_List_Omember_Osimps_I2_J_1_0,plain,
    ! [T_a,V_x,V_ys] :
      ( c_List_Omember(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Omember_Osimps_I2_J_1]) ).

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_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_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_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_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_pushes_I6_J_0,axiom,
    c_Set_Oinsert(c_Message_Omsg_OKey(V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_pushes_I6_J_0_0,plain,
    ! [V_A,V_K,V_K_H,V_X] :
      ( c_Set_Oinsert(c_Message_Omsg_OKey(V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I6_J_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_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_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_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_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_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_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_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_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_analz__spies__pubK_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg),
    input ).

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

cnf(cls_msg_Osimps_I42_J_0,axiom,
    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] :
      ( 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_I43_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != 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) != c_Message_Omsg_OKey(V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_msg_Osimps_I43_J_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_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_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_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_msg_Osimps_I41_J_0,axiom,
    c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != 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) != 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,
    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] :
      ( 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_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_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_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_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_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_pushes_I5_J_0,axiom,
    c_Set_Oinsert(c_Message_Omsg_OKey(V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_pushes_I5_J_0_0,plain,
    ! [V_A,V_K,V_X,V_Y] :
      ( c_Set_Oinsert(c_Message_Omsg_OKey(V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_pushes_I5_J_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_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_set__remove1__subset_0,axiom,
    c_lessequals(c_List_Oset(c_List_Oremove1(V_x,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_set__remove1__subset_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_lessequals(c_List_Oset(c_List_Oremove1(V_x,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_set__remove1__subset_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_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_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_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_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_butlast__drop_0,axiom,
    c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a),
    input ).

fof(cls_butlast__drop_0_0,plain,
    ! [T_a,V_n,V_xs] :
      ( c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_butlast__drop_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_publicKey__in__initState_0,axiom,
    c_in(c_Message_Omsg_OKey(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(c_Message_Omsg_OKey(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_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_remove1_Osimps_I2_J_0,axiom,
    c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs,
    input ).

fof(cls_remove1_Osimps_I2_J_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_remove1_Osimps_I2_J_0]) ).

cnf(cls_map_Osimps_I2_J_0,axiom,
    c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a),
    input ).

fof(cls_map_Osimps_I2_J_0_0,plain,
    ! [T_a,T_b,V_f,V_x,V_xs] :
      ( c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_map_Osimps_I2_J_0]) ).

cnf(cls_Cons__eq__map__conv_3,axiom,
    c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a),
    input ).

fof(cls_Cons__eq__map__conv_3_0,plain,
    ! [T_a,T_b,V_f,V_xa,V_xb] :
      ( c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Cons__eq__map__conv_3]) ).

cnf(cls_map__eq__Cons__conv_3,axiom,
    c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a),
    input ).

fof(cls_map__eq__Cons__conv_3_0,plain,
    ! [T_a,T_b,V_f,V_x,V_xa] :
      ( c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_map__eq__Cons__conv_3]) ).

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_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_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]) ).

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_elem_0,axiom,
    c_List_OListMem(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a),
    input ).

fof(cls_elem_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_OListMem(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_elem_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_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_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_map__replicate_0,axiom,
    c_List_Omap(V_f,c_List_Oreplicate(V_n,V_x,T_b),T_b,T_a) = c_List_Oreplicate(V_n,hAPP(V_f,V_x),T_a),
    input ).

fof(cls_map__replicate_0_0,plain,
    ! [T_a,T_b,V_f,V_n,V_x] :
      ( c_List_Omap(V_f,c_List_Oreplicate(V_n,V_x,T_b),T_b,T_a) = c_List_Oreplicate(V_n,hAPP(V_f,V_x),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_map__replicate_0]) ).

cnf(cls_set__take__subset_0,axiom,
    c_lessequals(c_List_Oset(c_List_Otake(V_n,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_set__take__subset_0_0,plain,
    ! [T_a,V_n,V_xs] :
      ( c_lessequals(c_List_Oset(c_List_Otake(V_n,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_set__take__subset_0]) ).

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_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_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_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_take__map_0,axiom,
    c_List_Otake(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Otake(V_n,V_xs,T_b),T_b,T_a),
    input ).

fof(cls_take__map_0_0,plain,
    ! [T_a,T_b,V_f,V_n,V_xs] :
      ( c_List_Otake(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Otake(V_n,V_xs,T_b),T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_take__map_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_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_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_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_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_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_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_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_drop__butlast_0,axiom,
    c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a),
    input ).

fof(cls_drop__butlast_0_0,plain,
    ! [T_a,V_n,V_xs] :
      ( c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_drop__butlast_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_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_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__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_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_filter__is__subset_0,axiom,
    c_lessequals(c_List_Oset(c_List_Ofilter(V_P,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_filter__is__subset_0_0,plain,
    ! [T_a,V_P,V_xs] :
      ( c_lessequals(c_List_Oset(c_List_Ofilter(V_P,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_filter__is__subset_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_priK__in__initState_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(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(c_Message_Omsg_OKey(c_Message_OinvKey(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_shrK__in__initState_0,axiom,
    c_in(c_Message_Omsg_OKey(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(c_Message_Omsg_OKey(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_neq__shrK_0,axiom,
    c_in(c_Message_Omsg_OKey(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(c_Message_Omsg_OKey(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(c_Message_Omsg_OKey(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(c_Message_Omsg_OKey(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__knows_0,axiom,
    c_in(c_Message_Omsg_OKey(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(c_Message_Omsg_OKey(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_privateKey__neq__publicKey_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != 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] :
      ( c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_privateKey__neq__publicKey_0]) ).

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

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

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

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

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

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

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

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

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

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

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

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

cnf(cls_publicKey__neq__privateKey_0,axiom,
    c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(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] :
      ( c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))
      | $false ),
    inference(orientation,[status(thm)],[cls_publicKey__neq__privateKey_0]) ).

cnf(cls_privateKey__into__used_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(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(c_Message_Omsg_OKey(c_Message_OinvKey(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]) ).

fof(def_lhs_atom1,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom1(V_evs,V_b,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom1(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_privateKey__into__used_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_c,V_b,V_A_H,V_A] :
      ( lhs_atom2(V_c,V_b,V_A_H,V_A)
    <=> c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [V_A,V_A_H,V_b,V_c] :
      ( lhs_atom2(V_c,V_b,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_publicKey__neq__privateKey_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom3(V_b,V_C,V_A)
    <=> c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) != c_Public_OshrK(V_A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom3(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__neq__priK_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom4(V_b,V_C,V_A)
    <=> c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom4(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_priK__neq__shrK_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom5(V_b,V_C,V_A)
    <=> c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom5(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pubK__neq__shrK_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_K] :
      ( lhs_atom6(V_K)
    <=> c_Message_OinvKey(c_Message_OinvKey(V_K)) = V_K ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [V_K] :
      ( lhs_atom6(V_K)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_invKey_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom7(V_b,V_C,V_A)
    <=> c_Public_OpublicKey(V_b,V_C) != c_Public_OshrK(V_A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom7(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__neq__pubK_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_A] :
      ( lhs_atom8(V_A)
    <=> c_Message_OinvKey(c_Public_OshrK(V_A)) = c_Public_OshrK(V_A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [V_A] :
      ( lhs_atom8(V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_invKey__shrK_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [V_c,V_b,V_A_H,V_A] :
      ( lhs_atom9(V_c,V_b,V_A_H,V_A)
    <=> c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [V_A,V_A_H,V_b,V_c] :
      ( lhs_atom9(V_c,V_b,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_privateKey__neq__publicKey_0_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_evs,V_A] :
      ( lhs_atom10(V_evs,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [V_A,V_evs] :
      ( lhs_atom10(V_evs,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__in__knows_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_evs,V_A] :
      ( lhs_atom11(V_evs,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [V_A,V_evs] :
      ( lhs_atom11(V_evs,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__in__used_0_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [V_evs,V_B] :
      ( lhs_atom12(V_evs,V_B)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ! [V_B,V_evs] :
      ( lhs_atom12(V_evs,V_B)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_neq__shrK_0_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [V_A] :
      ( lhs_atom13(V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [V_A] :
      ( lhs_atom13(V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shrK__in__initState_0_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_b,V_A] :
      ( lhs_atom14(V_b,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_OinitState(V_A),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [V_A,V_b] :
      ( lhs_atom14(V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_priK__in__initState_0_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [V_evs,V_X,V_A_H,V_A] :
      ( lhs_atom15(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_14,plain,
    ! [V_A,V_A_H,V_X,V_evs] :
      ( lhs_atom15(V_evs,V_X,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__subset__knows__Gets_0_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [V_xs,V_P,T_a] :
      ( lhs_atom16(V_xs,V_P,T_a)
    <=> c_lessequals(c_List_Oset(c_List_Ofilter(V_P,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [T_a,V_P,V_xs] :
      ( lhs_atom16(V_xs,V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_filter__is__subset_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom17(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_16,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom17(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__upper1_0_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom18(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_17,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom18(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__upper2_0_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom19(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_18,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom19(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_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom20(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_19,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom20(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__assoc_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom21(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_20,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom21(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__left__commute_0_0,def_lhs_atom21]) ).

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

fof(to_be_clausified_21,plain,
    ! [T_a,V_n,V_xs] :
      ( lhs_atom22(V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_drop__butlast_0_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_H,V_G] :
      ( lhs_atom23(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_22,plain,
    ! [V_G,V_H] :
      ( lhs_atom23(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__analz__Un_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [V_xa,V_x,T_a] :
      ( lhs_atom24(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_23,plain,
    ! [T_a,V_x,V_xa] :
      ( lhs_atom24(V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_doubleton__eq__iff_4_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom25(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_24,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom25(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert2_0_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom26(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_25,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom26(V_evs,V_X,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_used__Says_0_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [V_H,V_G] :
      ( lhs_atom27(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_26,plain,
    ! [V_G,V_H] :
      ( lhs_atom27(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__Un__subset1_0_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_y,V_x,V_A,T_a] :
      ( lhs_atom28(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_27,plain,
    ! [T_a,V_A,V_x,V_y] :
      ( lhs_atom28(V_y,V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__commute_0_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [V_H] :
      ( lhs_atom29(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_28,plain,
    ! [V_H] :
      ( lhs_atom29(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__synth_0_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [V_H,V_G] :
      ( lhs_atom30(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_29,plain,
    ! [V_G,V_H] :
      ( lhs_atom30(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__Un_0_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V_A,T_a] :
      ( lhs_atom31(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_30,plain,
    ! [T_a,V_A] :
      ( lhs_atom31(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__absorb_0_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [V_xs,V_n,V_f,T_b,T_a] :
      ( lhs_atom32(V_xs,V_n,V_f,T_b,T_a)
    <=> c_List_Otake(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Otake(V_n,V_xs,T_b),T_b,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ! [T_a,T_b,V_f,V_n,V_xs] :
      ( lhs_atom32(V_xs,V_n,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_take__map_0_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [V_a,V_C,V_B,T_a] :
      ( lhs_atom33(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_32,plain,
    ! [T_a,V_B,V_C,V_a] :
      ( lhs_atom33(V_a,V_C,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__insert__left_0_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom34(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_33,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom34(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__insert__right_0_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [V_A,T_a] :
      ( lhs_atom35(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_34,plain,
    ! [T_a,V_A] :
      ( lhs_atom35(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__subsetI_0_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_evs,V_A] :
      ( lhs_atom36(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_35,plain,
    ! [V_A,V_evs] :
      ( lhs_atom36(V_evs,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_initState__subset__knows_0_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom37(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_36,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom37(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__not__empty_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [V_xs,V_n,T_a] :
      ( lhs_atom38(V_xs,V_n,T_a)
    <=> c_lessequals(c_List_Oset(c_List_Otake(V_n,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ! [T_a,V_n,V_xs] :
      ( lhs_atom38(V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_set__take__subset_0_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [V_x,V_n,V_f,T_b,T_a] :
      ( lhs_atom39(V_x,V_n,V_f,T_b,T_a)
    <=> c_List_Omap(V_f,c_List_Oreplicate(V_n,V_x,T_b),T_b,T_a) = c_List_Oreplicate(V_n,hAPP(V_f,V_x),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ! [T_a,T_b,V_f,V_n,V_x] :
      ( lhs_atom39(V_x,V_n,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__replicate_0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom40(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_39,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom40(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__absorb2_0_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [V_H,V_G] :
      ( lhs_atom41(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_40,plain,
    ! [V_G,V_H] :
      ( lhs_atom41(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__Un__subset2_0_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [V_H,V_G] :
      ( lhs_atom42(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_41,plain,
    ! [V_G,V_H] :
      ( lhs_atom42(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__synth__Un_0_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom43(V_xs,V_x,T_a)
    <=> c_List_OListMem(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom43(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_elem_0_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom44(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_43,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom44(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__insertI_0_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom45(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_44,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom45(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_used__Notes_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_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_45,plain,
    ! [V_H,V_X] :
      ( lhs_atom46(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_synth__insert_0_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom47(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_46,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom47(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Notes_0_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ! [V_xa,V_x,V_f,T_b,T_a] :
      ( lhs_atom48(V_xa,V_x,V_f,T_b,T_a)
    <=> c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ! [T_a,T_b,V_f,V_x,V_xa] :
      ( lhs_atom48(V_xa,V_x,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__eq__Cons__conv_3_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ! [V_xb,V_xa,V_f,T_b,T_a] :
      ( lhs_atom49(V_xb,V_xa,V_f,T_b,T_a)
    <=> c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ! [T_a,T_b,V_f,V_xa,V_xb] :
      ( lhs_atom49(V_xb,V_xa,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Cons__eq__map__conv_3_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ! [V_xs,V_x,V_f,T_b,T_a] :
      ( lhs_atom50(V_xs,V_x,V_f,T_b,T_a)
    <=> c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ! [T_a,T_b,V_f,V_x,V_xs] :
      ( lhs_atom50(V_xs,V_x,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map_Osimps_I2_J_0_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom51(V_xs,V_x,T_a)
    <=> c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom51(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_remove1_Osimps_I2_J_0_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ! [V_evs,V_e,V_A] :
      ( lhs_atom52(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_51,plain,
    ! [V_A,V_e,V_evs] :
      ( lhs_atom52(V_evs,V_e,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__subset__knows__Cons_0_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ! [V_b,V_B,V_A] :
      ( lhs_atom53(V_b,V_B,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ! [V_A,V_B,V_b] :
      ( lhs_atom53(V_b,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_publicKey__in__initState_0_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom54(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_53,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom54(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__insert__MPair_0_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ! [V_xs,V_n,T_a] :
      ( lhs_atom55(V_xs,V_n,T_a)
    <=> c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ! [T_a,V_n,V_xs] :
      ( lhs_atom55(V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_butlast__drop_0_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom56(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_55,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom56(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__commute_0_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom57(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_56,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom57(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__is__Un_0_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom58(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_57,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom58(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__left__absorb_0_0,def_lhs_atom58]) ).

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

fof(to_be_clausified_58,plain,
    ! [V_H] :
      ( lhs_atom59(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_synth__idem_0_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ! [V_H] :
      ( lhs_atom60(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_atom60(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__synth_0_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom61(V_xs,V_x,T_a)
    <=> c_lessequals(c_List_Oset(c_List_Oremove1(V_x,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_60,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom61(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_set__remove1__subset_0_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ! [V_x,V_t,T_a] :
      ( lhs_atom62(V_x,V_t,T_a)
    <=> c_List_Olist_OCons(V_x,V_t,T_a) != V_t ),
    inference(definition,[],]) ).

fof(to_be_clausified_61,plain,
    ! [T_a,V_t,V_x] :
      ( lhs_atom62(V_x,V_t,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__Cons__self2_0_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom63(V_xs,V_x,T_a)
    <=> V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom63(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__Cons__self_0_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ! [V_Y,V_X,V_K,V_A] :
      ( lhs_atom64(V_Y,V_X,V_K,V_A)
    <=> c_Set_Oinsert(c_Message_Omsg_OKey(V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ! [V_A,V_K,V_X,V_Y] :
      ( lhs_atom64(V_Y,V_X,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I5_J_0_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ! [V_H] :
      ( lhs_atom65(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_64,plain,
    ! [V_H] :
      ( lhs_atom65(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__subset__parts_0_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ! [V_x,T_a] :
      ( lhs_atom66(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_65,plain,
    ! [T_a,V_x] :
      ( lhs_atom66(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ex__in__conv_0_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ! [V_c,T_a] :
      ( lhs_atom67(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_66,plain,
    ! [T_a,V_c] :
      ( lhs_atom67(V_c,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__iff_0_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ! [V_a,T_a] :
      ( lhs_atom68(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_67,plain,
    ! [T_a,V_a] :
      ( lhs_atom68(V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_emptyE_0_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom69(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_68,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom69(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__iff_1_0,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom70(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_69,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom70(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insertI1_0_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ! [V_x,V_B,T_a] :
      ( lhs_atom71(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_70,plain,
    ! [T_a,V_B,V_x] :
      ( lhs_atom71(V_x,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insertCI_1_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ! [V_nat,V_msg2_H,V_msg1_H] :
      ( lhs_atom72(V_nat,V_msg2_H,V_msg1_H)
    <=> c_Message_Omsg_OKey(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ! [V_msg1_H,V_msg2_H,V_nat] :
      ( lhs_atom72(V_nat,V_msg2_H,V_msg1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I40_J_0_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ! [V_nat,V_msg2_H,V_msg1_H] :
      ( lhs_atom73(V_nat,V_msg2_H,V_msg1_H)
    <=> c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OKey(V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_72,plain,
    ! [V_msg1_H,V_msg2_H,V_nat] :
      ( lhs_atom73(V_nat,V_msg2_H,V_msg1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I41_J_0_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ! [V_H] :
      ( lhs_atom74(V_H)
    <=> c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_73,plain,
    ! [V_H] :
      ( lhs_atom74(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__analz_0_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ! [V_H] :
      ( lhs_atom75(V_H)
    <=> c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_74,plain,
    ! [V_H] :
      ( lhs_atom75(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__parts_0_0,def_lhs_atom75]) ).

fof(def_lhs_atom76,axiom,
    ! [V_H,V_G] :
      ( lhs_atom76(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_75,plain,
    ! [V_G,V_H] :
      ( lhs_atom76(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__Un_0_0,def_lhs_atom76]) ).

fof(def_lhs_atom77,axiom,
    ! [V_H] :
      ( lhs_atom77(V_H)
    <=> c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_76,plain,
    ! [V_H] :
      ( lhs_atom77(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__increasing_0_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ( lhs_atom78
  <=> 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_77,plain,
    ( lhs_atom78
    | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__empty_0_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ! [V_nat_H,V_nat,V_msg_H] :
      ( lhs_atom79(V_nat_H,V_nat,V_msg_H)
    <=> c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OKey(V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_78,plain,
    ! [V_msg_H,V_nat,V_nat_H] :
      ( lhs_atom79(V_nat_H,V_nat,V_msg_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I43_J_0_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ! [V_nat_H,V_nat,V_msg_H] :
      ( lhs_atom80(V_nat_H,V_nat,V_msg_H)
    <=> c_Message_Omsg_OKey(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_79,plain,
    ! [V_msg_H,V_nat,V_nat_H] :
      ( lhs_atom80(V_nat_H,V_nat,V_msg_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_msg_Osimps_I42_J_0_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom81(V_evs,V_b,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_80,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom81(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__spies__pubK_0_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ! [V_evs,V_X] :
      ( lhs_atom82(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_81,plain,
    ! [V_X,V_evs] :
      ( lhs_atom82(V_evs,V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__spies_0_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom83(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_82,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom83(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Spy__Gets_0_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom84(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_83,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom84(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_atom84]) ).

fof(def_lhs_atom85,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom85(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_84,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom85(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_atom85]) ).

fof(def_lhs_atom86,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom86(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_85,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom86(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_atom86]) ).

fof(def_lhs_atom87,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom87(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_86,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom87(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_atom87]) ).

fof(def_lhs_atom88,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom88(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_87,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom88(V_evs,V_X,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Says_0_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ! [V_evs,V_X,V_B,V_A_H,V_A] :
      ( lhs_atom89(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_88,plain,
    ! [V_A,V_A_H,V_B,V_X,V_evs] :
      ( lhs_atom89(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_atom89]) ).

fof(def_lhs_atom90,axiom,
    ! [V_B,T_a] :
      ( lhs_atom90(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_89,plain,
    ! [T_a,V_B] :
      ( lhs_atom90(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty__left_0_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ! [V_A,T_a] :
      ( lhs_atom91(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_90,plain,
    ! [T_a,V_A] :
      ( lhs_atom91(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty__right_0_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ! [V_X,V_K_H,V_K,V_A] :
      ( lhs_atom92(V_X,V_K_H,V_K,V_A)
    <=> c_Set_Oinsert(c_Message_Omsg_OKey(V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_91,plain,
    ! [V_A,V_K,V_K_H,V_X] :
      ( lhs_atom92(V_X,V_K_H,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_pushes_I6_J_0_0,def_lhs_atom92]) ).

fof(def_lhs_atom93,axiom,
    ! [V_H] :
      ( lhs_atom93(V_H)
    <=> c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_92,plain,
    ! [V_H] :
      ( lhs_atom93(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__increasing_0_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ! [V_H,V_G] :
      ( lhs_atom94(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_93,plain,
    ! [V_G,V_H] :
      ( lhs_atom94(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_synth__Un_0_0,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ! [V_x,T_a] :
      ( lhs_atom95(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_94,plain,
    ! [T_a,V_x] :
      ( lhs_atom95(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_bot1E_0_0,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom96(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_95,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom96(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__knows__A_0_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent] :
      ( lhs_atom97(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_96,plain,
    ! [V_agent,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom97(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_atom97]) ).

fof(def_lhs_atom98,axiom,
    ! [V_ys,V_x,T_a] :
      ( lhs_atom98(V_ys,V_x,T_a)
    <=> c_List_Omember(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_97,plain,
    ! [T_a,V_x,V_ys] :
      ( lhs_atom98(V_ys,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Omember_Osimps_I2_J_1_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ! [V_X,V_H] :
      ( lhs_atom99(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_98,plain,
    ! [V_H,V_X] :
      ( lhs_atom99(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__subset_0_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom100(V_xs,V_x,T_a)
    <=> c_List_OremoveAll(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_OremoveAll(V_x,V_xs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_99,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom100(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_removeAll_Osimps_I2_J_0_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ( lhs_atom101
  <=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
    inference(definition,[],]) ).

fof(to_be_clausified_100,plain,
    ( lhs_atom101
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Spy__in__bad_0_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ! [T_a] :
      ( lhs_atom102(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_101,plain,
    ! [T_a] :
      ( lhs_atom102(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__empty_1_0,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom103(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_102,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom103(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__not__insert_0_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom104(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_103,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom104(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_set__subset__Cons_0_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom105(V_evs,V_b,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_104,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom105(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_publicKey__into__used_0_0,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ! [V_xs,V_n,T_a] :
      ( lhs_atom106(V_xs,V_n,T_a)
    <=> c_lessequals(c_List_Oset(c_List_Odrop(V_n,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_105,plain,
    ! [T_a,V_n,V_xs] :
      ( lhs_atom106(V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_set__drop__subset_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_106,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_xs,V_I,T_a] :
      ( lhs_atom108(V_xs,V_I,T_a)
    <=> c_lessequals(c_List_Oset(c_List_Osublist(V_xs,V_I,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_107,plain,
    ! [T_a,V_I,V_xs] :
      ( lhs_atom108(V_xs,V_I,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_set__sublist__subset_0_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ( lhs_atom109
  <=> 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_108,plain,
    ( lhs_atom109
    | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__empty_0_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom110(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_109,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom110(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__code_1_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ! [V_X,V_K,V_H] :
      ( lhs_atom111(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_110,plain,
    ! [V_H,V_K,V_X] :
      ( lhs_atom111(V_X,V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__insert__Crypt__subset_0_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent] :
      ( lhs_atom112(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_111,plain,
    ! [V_agent,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom112(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_atom112]) ).

fof(def_lhs_atom113,axiom,
    ! [V_H] :
      ( lhs_atom113(V_H)
    <=> c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_112,plain,
    ! [V_H] :
      ( lhs_atom113(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_synth__increasing_0_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ! [V_x,T_a] :
      ( lhs_atom114(V_x,T_a)
    <=> c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_113,plain,
    ! [T_a,V_x] :
      ( lhs_atom114(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_equalityE_0_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ! [V_A,T_a] :
      ( lhs_atom115(V_A,T_a)
    <=> c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_114,plain,
    ! [T_a,V_A] :
      ( lhs_atom115(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__refl_0_0,def_lhs_atom115]) ).

fof(def_lhs_atom116,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom116(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_115,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom116(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Spy__subset__knows__Spy__Gets_0_0,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ! [V_evs,V_X,V_A_H,V_A] :
      ( lhs_atom117(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_116,plain,
    ! [V_A,V_A_H,V_X,V_evs] :
      ( lhs_atom117(V_evs,V_X,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__subset__knows__Notes_0_0,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ! [V_X,V_H] :
      ( lhs_atom118(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_117,plain,
    ! [V_H,V_X] :
      ( lhs_atom118(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert_0_0,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ! [V_x,T_a] :
      ( lhs_atom119(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_118,plain,
    ! [T_a,V_x] :
      ( lhs_atom119(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_singleton__iff_1_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ! [V_K,V_H] :
      ( lhs_atom120(V_K,V_H)
    <=> c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OKey(V_K),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_119,plain,
    ! [V_H,V_K] :
      ( lhs_atom120(V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__Key_0_0,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ! [V_xs,V_n,V_f,T_b,T_a] :
      ( lhs_atom121(V_xs,V_n,V_f,T_b,T_a)
    <=> c_List_Odrop(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Odrop(V_n,V_xs,T_b),T_b,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_120,plain,
    ! [T_a,T_b,V_f,V_n,V_xs] :
      ( lhs_atom121(V_xs,V_n,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_drop__map_0_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ! [V_H] :
      ( lhs_atom122(V_H)
    <=> c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_121,plain,
    ! [V_H] :
      ( lhs_atom122(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__idem_0_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom123(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_122,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom123(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oset_Osimps_I2_J_0_0,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom124(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_123,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom124(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_used__Gets_0_0,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ! [T_a] :
      ( lhs_atom125(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_124,plain,
    ! [T_a] :
      ( lhs_atom125(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty_2_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ! [V_X,V_H] :
      ( lhs_atom126(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_125,plain,
    ! [V_H,V_X] :
      ( lhs_atom126(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_analz__insert_0_0,def_lhs_atom126]) ).

fof(def_lhs_atom127,axiom,
    ( lhs_atom127
  <=> c_HOL_Ominus__class_Ominus(v_A,v_B,tc_bool) = c_and(v_A,c_Not(v_B)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_126,plain,
    ( lhs_atom127
    | $false ),
    inference(fold_definition,[status(thm)],[cls_bool__diff__def__raw_0_0,def_lhs_atom127]) ).

fof(def_lhs_atom128,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom128(V_evs,V_b,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
    inference(definition,[],]) ).

fof(to_be_clausified_127,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom128(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_spies__pubK_0_0,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ! [V_evs] :
      ( lhs_atom129(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_128,plain,
    ! [V_evs] :
      ( lhs_atom129(V_evs)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__knows__Spy__subset__used_0_0,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom130(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_129,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom130(V_evs,V_X,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_knows__Spy__Says_0_0,def_lhs_atom130]) ).

fof(def_lhs_atom131,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom131(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_130,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom131(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_atom131]) ).

fof(def_lhs_atom132,axiom,
    ! [V_X] :
      ( lhs_atom132(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_131,plain,
    ! [V_X] :
      ( lhs_atom132(V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__emptyE_0_0,def_lhs_atom132]) ).

fof(def_lhs_atom133,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom133(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_132,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom133(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__MPair_0_0,def_lhs_atom133]) ).

fof(def_lhs_atom134,axiom,
    ! [V_Y,V_X_H,V_X,V_K,V_A] :
      ( lhs_atom134(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_133,plain,
    ! [V_A,V_K,V_X,V_X_H,V_Y] :
      ( lhs_atom134(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_atom134]) ).

fof(def_lhs_atom135,axiom,
    ! [V_X,V_K,V_H] :
      ( lhs_atom135(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_134,plain,
    ! [V_H,V_K,V_X] :
      ( lhs_atom135(V_X,V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__insert__Crypt_0_0,def_lhs_atom135]) ).

fof(def_lhs_atom136,axiom,
    ! [V_X,V_K,V_B] :
      ( lhs_atom136(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_135,plain,
    ! [V_B,V_K,V_X] :
      ( lhs_atom136(V_X,V_K,V_B)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Crypt__notin__initState_0_0,def_lhs_atom136]) ).

fof(def_lhs_atom137,axiom,
    ! [V_H] :
      ( lhs_atom137(V_H)
    <=> c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_136,plain,
    ! [V_H] :
      ( lhs_atom137(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_parts__idem_0_0,def_lhs_atom137]) ).

fof(def_lhs_atom138,axiom,
    ! [V_nat_H,V_msg_H,V_msg2,V_msg1] :
      ( lhs_atom138(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_137,plain,
    ! [V_msg1,V_msg2,V_msg_H,V_nat_H] :
      ( lhs_atom138(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_atom138]) ).

fof(def_lhs_atom139,axiom,
    ! [V_nat_H,V_msg_H,V_msg2,V_msg1] :
      ( lhs_atom139(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_138,plain,
    ! [V_msg1,V_msg2,V_msg_H,V_nat_H] :
      ( lhs_atom139(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_atom139]) ).

fof(def_lhs_atom140,axiom,
    ( lhs_atom140
  <=> class_Lattices_Oupper__semilattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_139,plain,
    ( lhs_atom140
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Oupper__semilattice_0,def_lhs_atom140]) ).

fof(def_lhs_atom141,axiom,
    ( lhs_atom141
  <=> class_Orderings_Opreorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_140,plain,
    ( lhs_atom141
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Opreorder_0,def_lhs_atom141]) ).

fof(def_lhs_atom142,axiom,
    ( lhs_atom142
  <=> class_Orderings_Olinorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_141,plain,
    ( lhs_atom142
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Olinorder_0,def_lhs_atom142]) ).

fof(def_lhs_atom143,axiom,
    ( lhs_atom143
  <=> class_Lattices_Olattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_142,plain,
    ( lhs_atom143
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Olattice_0,def_lhs_atom143]) ).

fof(def_lhs_atom144,axiom,
    ( lhs_atom144
  <=> class_Orderings_Oorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_143,plain,
    ( lhs_atom144
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Oorder_0,def_lhs_atom144]) ).

fof(def_lhs_atom145,axiom,
    ( lhs_atom145
  <=> class_Orderings_Obot(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_144,plain,
    ( lhs_atom145
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Obot_0,def_lhs_atom145]) ).

fof(def_lhs_atom146,axiom,
    ( lhs_atom146
  <=> class_HOL_Oord(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_145,plain,
    ( lhs_atom146
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__HOL_Oord_0,def_lhs_atom146]) ).

fof(def_lhs_atom147,axiom,
    ( lhs_atom147
  <=> class_Lattices_Oupper__semilattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_146,plain,
    ( lhs_atom147
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oupper__semilattice_0,def_lhs_atom147]) ).

fof(def_lhs_atom148,axiom,
    ( lhs_atom148
  <=> class_Lattices_Obounded__lattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_147,plain,
    ( lhs_atom148
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Obounded__lattice_0,def_lhs_atom148]) ).

fof(def_lhs_atom149,axiom,
    ( lhs_atom149
  <=> class_Orderings_Opreorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_148,plain,
    ( lhs_atom149
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Opreorder_0,def_lhs_atom149]) ).

fof(def_lhs_atom150,axiom,
    ( lhs_atom150
  <=> class_Lattices_Olattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_149,plain,
    ( lhs_atom150
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Olattice_0,def_lhs_atom150]) ).

fof(def_lhs_atom151,axiom,
    ( lhs_atom151
  <=> class_Orderings_Oorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_150,plain,
    ( lhs_atom151
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Oorder_0,def_lhs_atom151]) ).

fof(def_lhs_atom152,axiom,
    ( lhs_atom152
  <=> class_Orderings_Obot(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_151,plain,
    ( lhs_atom152
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Obot_0,def_lhs_atom152]) ).

fof(def_lhs_atom153,axiom,
    ( lhs_atom153
  <=> class_HOL_Oord(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_152,plain,
    ( lhs_atom153
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Oord_0,def_lhs_atom153]) ).

fof(def_lhs_atom154,axiom,
    ! [V_x,T_a] :
      ( lhs_atom154(V_x,T_a)
    <=> c_fequal(V_x,V_x,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_153,plain,
    ! [T_a,V_x] :
      ( lhs_atom154(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom154]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X18,X39,X9,X7,X3] :
      ( lhs_atom134(X18,X39,X9,X7,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_1,axiom,
    ! [X10,X13,X20,X21,X12] :
      ( lhs_atom121(X10,X13,X20,X21,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_2,axiom,
    ! [X1,X9,X8,X5,X3] :
      ( lhs_atom89(X1,X9,X8,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_3,axiom,
    ! [X30,X31,X32,X33,X34] :
      ( lhs_atom87(X30,X31,X32,X33,X34)
      | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_4,axiom,
    ! [X30,X31,X32,X33,X34] :
      ( lhs_atom86(X30,X31,X32,X33,X34)
      | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_5,axiom,
    ! [X30,X31,X32,X33,X34] :
      ( lhs_atom85(X30,X31,X32,X33,X34)
      | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_6,axiom,
    ! [X30,X31,X32,X33,X34] :
      ( lhs_atom84(X30,X31,X32,X33,X34)
      | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_7,axiom,
    ! [X10,X17,X20,X21,X12] :
      ( lhs_atom50(X10,X17,X20,X21,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_8,axiom,
    ! [X23,X16,X20,X21,X12] :
      ( lhs_atom49(X23,X16,X20,X21,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_9,axiom,
    ! [X16,X17,X20,X21,X12] :
      ( lhs_atom48(X16,X17,X20,X21,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_10,axiom,
    ! [X17,X13,X20,X21,X12] :
      ( lhs_atom39(X17,X13,X20,X21,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_11,axiom,
    ! [X10,X13,X20,X21,X12] :
      ( lhs_atom32(X10,X13,X20,X21,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_12,axiom,
    ! [X29,X30,X40,X41] :
      ( lhs_atom139(X29,X30,X40,X41)
      | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_13,axiom,
    ! [X29,X30,X40,X41] :
      ( lhs_atom138(X29,X30,X40,X41)
      | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_14,axiom,
    ! [X1,X9,X8,X3] :
      ( lhs_atom131(X1,X9,X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_15,axiom,
    ! [X1,X9,X8,X3] :
      ( lhs_atom130(X1,X9,X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_16,axiom,
    ! [X1,X9,X5,X3] :
      ( lhs_atom117(X1,X9,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_17,axiom,
    ! [X30,X31,X32,X36] :
      ( lhs_atom112(X30,X31,X32,X36)
      | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_18,axiom,
    ! [X30,X31,X32,X36] :
      ( lhs_atom97(X30,X31,X32,X36)
      | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_19,axiom,
    ! [X9,X35,X7,X3] :
      ( lhs_atom92(X9,X35,X7,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_20,axiom,
    ! [X1,X9,X8,X3] :
      ( lhs_atom88(X1,X9,X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_21,axiom,
    ! [X18,X9,X7,X3] :
      ( lhs_atom64(X18,X9,X7,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_22,axiom,
    ! [X22,X8,X3,X12] :
      ( lhs_atom34(X22,X8,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_23,axiom,
    ! [X22,X6,X8,X12] :
      ( lhs_atom33(X22,X6,X8,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_24,axiom,
    ! [X19,X17,X3,X12] :
      ( lhs_atom28(X19,X17,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_25,axiom,
    ! [X1,X9,X8,X3] :
      ( lhs_atom26(X1,X9,X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_26,axiom,
    ! [X6,X8,X3,X12] :
      ( lhs_atom21(X6,X8,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_27,axiom,
    ! [X6,X8,X3,X12] :
      ( lhs_atom20(X6,X8,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_28,axiom,
    ! [X6,X8,X3,X12] :
      ( lhs_atom19(X6,X8,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_29,axiom,
    ! [X1,X9,X5,X3] :
      ( lhs_atom15(X1,X9,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_30,axiom,
    ! [X4,X2,X5,X3] :
      ( lhs_atom9(X4,X2,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_31,axiom,
    ! [X4,X2,X5,X3] :
      ( lhs_atom2(X4,X2,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_32,axiom,
    ! [X9,X7,X8] :
      ( lhs_atom136(X9,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_33,axiom,
    ! [X9,X7,X14] :
      ( lhs_atom135(X9,X7,X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_34,axiom,
    ! [X18,X9,X14] :
      ( lhs_atom133(X18,X9,X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_35,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom128(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_36,axiom,
    ! [X1,X9,X3] :
      ( lhs_atom124(X1,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_37,axiom,
    ! [X10,X17,X12] :
      ( lhs_atom123(X10,X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_38,axiom,
    ! [X1,X9,X3] :
      ( lhs_atom116(X1,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_39,axiom,
    ! [X9,X7,X14] :
      ( lhs_atom111(X9,X7,X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_40,axiom,
    ! [X17,X3,X12] :
      ( lhs_atom110(X17,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_41,axiom,
    ! [X10,X38,X12] :
      ( lhs_atom108(X10,X38,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_42,axiom,
    ! [X1,X9,X3] :
      ( lhs_atom107(X1,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_43,axiom,
    ! [X10,X13,X12] :
      ( lhs_atom106(X10,X13,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_44,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom105(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_45,axiom,
    ! [X10,X17,X12] :
      ( lhs_atom104(X10,X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_46,axiom,
    ! [X22,X3,X12] :
      ( lhs_atom103(X22,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_47,axiom,
    ! [X10,X17,X12] :
      ( lhs_atom100(X10,X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_48,axiom,
    ! [X37,X17,X12] :
      ( lhs_atom98(X37,X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_49,axiom,
    ! [X1,X9,X3] :
      ( lhs_atom96(X1,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_50,axiom,
    ! [X1,X9,X3] :
      ( lhs_atom83(X1,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_51,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom81(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_52,axiom,
    ! [X29,X26,X30] :
      ( lhs_atom80(X29,X26,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_53,axiom,
    ! [X29,X26,X30] :
      ( lhs_atom79(X29,X26,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_54,axiom,
    ! [X26,X27,X28] :
      ( lhs_atom73(X26,X27,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_55,axiom,
    ! [X26,X27,X28] :
      ( lhs_atom72(X26,X27,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_56,axiom,
    ! [X17,X8,X12] :
      ( lhs_atom71(X17,X8,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_57,axiom,
    ! [X22,X8,X12] :
      ( lhs_atom70(X22,X8,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_58,axiom,
    ! [X17,X3,X12] :
      ( lhs_atom69(X17,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_59,axiom,
    ! [X10,X17,X12] :
      ( lhs_atom63(X10,X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_60,axiom,
    ! [X17,X25,X12] :
      ( lhs_atom62(X17,X25,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_61,axiom,
    ! [X10,X17,X12] :
      ( lhs_atom61(X10,X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_62,axiom,
    ! [X8,X3,X12] :
      ( lhs_atom58(X8,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_63,axiom,
    ! [X22,X3,X12] :
      ( lhs_atom57(X22,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_64,axiom,
    ! [X8,X3,X12] :
      ( lhs_atom56(X8,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_65,axiom,
    ! [X10,X13,X12] :
      ( lhs_atom55(X10,X13,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_66,axiom,
    ! [X18,X9,X14] :
      ( lhs_atom54(X18,X9,X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_67,axiom,
    ! [X2,X8,X3] :
      ( lhs_atom53(X2,X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_68,axiom,
    ! [X1,X24,X3] :
      ( lhs_atom52(X1,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_69,axiom,
    ! [X10,X17,X12] :
      ( lhs_atom51(X10,X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_70,axiom,
    ! [X1,X9,X3] :
      ( lhs_atom47(X1,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_71,axiom,
    ! [X1,X9,X3] :
      ( lhs_atom45(X1,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_72,axiom,
    ! [X22,X8,X12] :
      ( lhs_atom44(X22,X8,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_73,axiom,
    ! [X10,X17,X12] :
      ( lhs_atom43(X10,X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_74,axiom,
    ! [X17,X3,X12] :
      ( lhs_atom40(X17,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_75,axiom,
    ! [X10,X13,X12] :
      ( lhs_atom38(X10,X13,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_76,axiom,
    ! [X22,X3,X12] :
      ( lhs_atom37(X22,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_77,axiom,
    ! [X18,X9,X14] :
      ( lhs_atom25(X18,X9,X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_78,axiom,
    ! [X16,X17,X12] :
      ( lhs_atom24(X16,X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_79,axiom,
    ! [X10,X13,X12] :
      ( lhs_atom22(X10,X13,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_80,axiom,
    ! [X8,X3,X12] :
      ( lhs_atom18(X8,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_81,axiom,
    ! [X8,X3,X12] :
      ( lhs_atom17(X8,X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_82,axiom,
    ! [X10,X11,X12] :
      ( lhs_atom16(X10,X11,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_83,axiom,
    ! [X2,X6,X3] :
      ( lhs_atom7(X2,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_84,axiom,
    ! [X2,X6,X3] :
      ( lhs_atom5(X2,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_85,axiom,
    ! [X2,X6,X3] :
      ( lhs_atom4(X2,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_86,axiom,
    ! [X2,X6,X3] :
      ( lhs_atom3(X2,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_87,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom1(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_88,axiom,
    ! [X17,X12] :
      ( lhs_atom154(X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_153) ).

fof(c_0_89,axiom,
    ! [X9,X14] :
      ( lhs_atom126(X9,X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_90,axiom,
    ! [X7,X14] :
      ( lhs_atom120(X7,X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_91,axiom,
    ! [X17,X12] :
      ( lhs_atom119(X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_92,axiom,
    ! [X9,X14] :
      ( lhs_atom118(X9,X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_93,axiom,
    ! [X3,X12] :
      ( lhs_atom115(X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_94,axiom,
    ! [X17,X12] :
      ( lhs_atom114(X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_95,axiom,
    ! [X9,X14] :
      ( lhs_atom99(X9,X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_96,axiom,
    ! [X17,X12] :
      ( lhs_atom95(X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_97,axiom,
    ! [X14,X15] :
      ( lhs_atom94(X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_98,axiom,
    ! [X3,X12] :
      ( lhs_atom91(X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_99,axiom,
    ! [X8,X12] :
      ( lhs_atom90(X8,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_100,axiom,
    ! [X1,X9] :
      ( lhs_atom82(X1,X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_101,axiom,
    ! [X14,X15] :
      ( lhs_atom76(X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_102,axiom,
    ! [X22,X12] :
      ( lhs_atom68(X22,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_103,axiom,
    ! [X4,X12] :
      ( lhs_atom67(X4,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_104,axiom,
    ! [X17,X12] :
      ( lhs_atom66(X17,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_105,axiom,
    ! [X9,X14] :
      ( lhs_atom46(X9,X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_106,axiom,
    ! [X14,X15] :
      ( lhs_atom42(X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_107,axiom,
    ! [X14,X15] :
      ( lhs_atom41(X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_108,axiom,
    ! [X1,X3] :
      ( lhs_atom36(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_109,axiom,
    ! [X3,X12] :
      ( lhs_atom35(X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_110,axiom,
    ! [X3,X12] :
      ( lhs_atom31(X3,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_111,axiom,
    ! [X14,X15] :
      ( lhs_atom30(X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_112,axiom,
    ! [X14,X15] :
      ( lhs_atom27(X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_113,axiom,
    ! [X14,X15] :
      ( lhs_atom23(X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_114,axiom,
    ! [X2,X3] :
      ( lhs_atom14(X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_115,axiom,
    ! [X1,X8] :
      ( lhs_atom12(X1,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_116,axiom,
    ! [X1,X3] :
      ( lhs_atom11(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_117,axiom,
    ! [X1,X3] :
      ( lhs_atom10(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_118,axiom,
    ! [X14] :
      ( lhs_atom137(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_119,axiom,
    ! [X9] :
      ( lhs_atom132(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_120,axiom,
    ! [X1] :
      ( lhs_atom129(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_121,axiom,
    ! [X12] :
      ( lhs_atom125(X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_122,axiom,
    ! [X14] :
      ( lhs_atom122(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_123,axiom,
    ! [X14] :
      ( lhs_atom113(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_124,axiom,
    ! [X12] :
      ( lhs_atom102(X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_125,axiom,
    ! [X14] :
      ( lhs_atom93(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_126,axiom,
    ! [X14] :
      ( lhs_atom77(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_127,axiom,
    ! [X14] :
      ( lhs_atom75(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_128,axiom,
    ! [X14] :
      ( lhs_atom74(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_129,axiom,
    ! [X14] :
      ( lhs_atom65(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_130,axiom,
    ! [X14] :
      ( lhs_atom60(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_131,axiom,
    ! [X14] :
      ( lhs_atom59(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_132,axiom,
    ! [X14] :
      ( lhs_atom29(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_133,axiom,
    ! [X3] :
      ( lhs_atom13(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_134,axiom,
    ! [X3] :
      ( lhs_atom8(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_135,axiom,
    ! [X7] :
      ( lhs_atom6(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_136,axiom,
    ( lhs_atom153
    | ~ $true ),
    file('<stdin>',to_be_clausified_152) ).

fof(c_0_137,axiom,
    ( lhs_atom152
    | ~ $true ),
    file('<stdin>',to_be_clausified_151) ).

fof(c_0_138,axiom,
    ( lhs_atom151
    | ~ $true ),
    file('<stdin>',to_be_clausified_150) ).

fof(c_0_139,axiom,
    ( lhs_atom150
    | ~ $true ),
    file('<stdin>',to_be_clausified_149) ).

fof(c_0_140,axiom,
    ( lhs_atom149
    | ~ $true ),
    file('<stdin>',to_be_clausified_148) ).

fof(c_0_141,axiom,
    ( lhs_atom148
    | ~ $true ),
    file('<stdin>',to_be_clausified_147) ).

fof(c_0_142,axiom,
    ( lhs_atom147
    | ~ $true ),
    file('<stdin>',to_be_clausified_146) ).

fof(c_0_143,axiom,
    ( lhs_atom146
    | ~ $true ),
    file('<stdin>',to_be_clausified_145) ).

fof(c_0_144,axiom,
    ( lhs_atom145
    | ~ $true ),
    file('<stdin>',to_be_clausified_144) ).

fof(c_0_145,axiom,
    ( lhs_atom144
    | ~ $true ),
    file('<stdin>',to_be_clausified_143) ).

fof(c_0_146,axiom,
    ( lhs_atom143
    | ~ $true ),
    file('<stdin>',to_be_clausified_142) ).

fof(c_0_147,axiom,
    ( lhs_atom142
    | ~ $true ),
    file('<stdin>',to_be_clausified_141) ).

fof(c_0_148,axiom,
    ( lhs_atom141
    | ~ $true ),
    file('<stdin>',to_be_clausified_140) ).

fof(c_0_149,axiom,
    ( lhs_atom140
    | ~ $true ),
    file('<stdin>',to_be_clausified_139) ).

fof(c_0_150,axiom,
    ( lhs_atom127
    | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_151,axiom,
    ( lhs_atom109
    | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_152,axiom,
    ( lhs_atom101
    | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_153,axiom,
    ( lhs_atom78
    | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_154,plain,
    ! [X18,X39,X9,X7,X3] : lhs_atom134(X18,X39,X9,X7,X3),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_155,plain,
    ! [X10,X13,X20,X21,X12] : lhs_atom121(X10,X13,X20,X21,X12),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_156,plain,
    ! [X1,X9,X8,X5,X3] : lhs_atom89(X1,X9,X8,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_157,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom87(X30,X31,X32,X33,X34),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_158,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom86(X30,X31,X32,X33,X34),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_159,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom85(X30,X31,X32,X33,X34),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_160,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom84(X30,X31,X32,X33,X34),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_161,plain,
    ! [X10,X17,X20,X21,X12] : lhs_atom50(X10,X17,X20,X21,X12),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_162,plain,
    ! [X23,X16,X20,X21,X12] : lhs_atom49(X23,X16,X20,X21,X12),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_163,plain,
    ! [X16,X17,X20,X21,X12] : lhs_atom48(X16,X17,X20,X21,X12),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_164,plain,
    ! [X17,X13,X20,X21,X12] : lhs_atom39(X17,X13,X20,X21,X12),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_165,plain,
    ! [X10,X13,X20,X21,X12] : lhs_atom32(X10,X13,X20,X21,X12),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_166,plain,
    ! [X29,X30,X40,X41] : lhs_atom139(X29,X30,X40,X41),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_167,plain,
    ! [X29,X30,X40,X41] : lhs_atom138(X29,X30,X40,X41),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_168,plain,
    ! [X1,X9,X8,X3] : lhs_atom131(X1,X9,X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_169,plain,
    ! [X1,X9,X8,X3] : lhs_atom130(X1,X9,X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_170,plain,
    ! [X1,X9,X5,X3] : lhs_atom117(X1,X9,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_171,plain,
    ! [X30,X31,X32,X36] : lhs_atom112(X30,X31,X32,X36),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_172,plain,
    ! [X30,X31,X32,X36] : lhs_atom97(X30,X31,X32,X36),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_173,plain,
    ! [X9,X35,X7,X3] : lhs_atom92(X9,X35,X7,X3),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_174,plain,
    ! [X1,X9,X8,X3] : lhs_atom88(X1,X9,X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_175,plain,
    ! [X18,X9,X7,X3] : lhs_atom64(X18,X9,X7,X3),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_176,plain,
    ! [X22,X8,X3,X12] : lhs_atom34(X22,X8,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_177,plain,
    ! [X22,X6,X8,X12] : lhs_atom33(X22,X6,X8,X12),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_178,plain,
    ! [X19,X17,X3,X12] : lhs_atom28(X19,X17,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_179,plain,
    ! [X1,X9,X8,X3] : lhs_atom26(X1,X9,X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_180,plain,
    ! [X6,X8,X3,X12] : lhs_atom21(X6,X8,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_181,plain,
    ! [X6,X8,X3,X12] : lhs_atom20(X6,X8,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_182,plain,
    ! [X6,X8,X3,X12] : lhs_atom19(X6,X8,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_183,plain,
    ! [X1,X9,X5,X3] : lhs_atom15(X1,X9,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_184,plain,
    ! [X4,X2,X5,X3] : lhs_atom9(X4,X2,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_185,plain,
    ! [X4,X2,X5,X3] : lhs_atom2(X4,X2,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_186,plain,
    ! [X9,X7,X8] : lhs_atom136(X9,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_187,plain,
    ! [X9,X7,X14] : lhs_atom135(X9,X7,X14),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_188,plain,
    ! [X18,X9,X14] : lhs_atom133(X18,X9,X14),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_189,plain,
    ! [X1,X2,X3] : lhs_atom128(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_190,plain,
    ! [X1,X9,X3] : lhs_atom124(X1,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_191,plain,
    ! [X10,X17,X12] : lhs_atom123(X10,X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_192,plain,
    ! [X1,X9,X3] : lhs_atom116(X1,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_193,plain,
    ! [X9,X7,X14] : lhs_atom111(X9,X7,X14),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_194,plain,
    ! [X17,X3,X12] : lhs_atom110(X17,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_195,plain,
    ! [X10,X38,X12] : lhs_atom108(X10,X38,X12),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_196,plain,
    ! [X1,X9,X3] : lhs_atom107(X1,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_197,plain,
    ! [X10,X13,X12] : lhs_atom106(X10,X13,X12),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_198,plain,
    ! [X1,X2,X3] : lhs_atom105(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_199,plain,
    ! [X10,X17,X12] : lhs_atom104(X10,X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_200,plain,
    ! [X22,X3,X12] : lhs_atom103(X22,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_201,plain,
    ! [X10,X17,X12] : lhs_atom100(X10,X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_202,plain,
    ! [X37,X17,X12] : lhs_atom98(X37,X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_203,plain,
    ! [X1,X9,X3] : lhs_atom96(X1,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_204,plain,
    ! [X1,X9,X3] : lhs_atom83(X1,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_205,plain,
    ! [X1,X2,X3] : lhs_atom81(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_206,plain,
    ! [X29,X26,X30] : lhs_atom80(X29,X26,X30),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_207,plain,
    ! [X29,X26,X30] : lhs_atom79(X29,X26,X30),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_208,plain,
    ! [X26,X27,X28] : lhs_atom73(X26,X27,X28),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_209,plain,
    ! [X26,X27,X28] : lhs_atom72(X26,X27,X28),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_210,plain,
    ! [X17,X8,X12] : lhs_atom71(X17,X8,X12),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_211,plain,
    ! [X22,X8,X12] : lhs_atom70(X22,X8,X12),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_212,plain,
    ! [X17,X3,X12] : lhs_atom69(X17,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_213,plain,
    ! [X10,X17,X12] : lhs_atom63(X10,X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_214,plain,
    ! [X17,X25,X12] : lhs_atom62(X17,X25,X12),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_215,plain,
    ! [X10,X17,X12] : lhs_atom61(X10,X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_216,plain,
    ! [X8,X3,X12] : lhs_atom58(X8,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_217,plain,
    ! [X22,X3,X12] : lhs_atom57(X22,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_218,plain,
    ! [X8,X3,X12] : lhs_atom56(X8,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_219,plain,
    ! [X10,X13,X12] : lhs_atom55(X10,X13,X12),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_220,plain,
    ! [X18,X9,X14] : lhs_atom54(X18,X9,X14),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_221,plain,
    ! [X2,X8,X3] : lhs_atom53(X2,X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_222,plain,
    ! [X1,X24,X3] : lhs_atom52(X1,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_223,plain,
    ! [X10,X17,X12] : lhs_atom51(X10,X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_224,plain,
    ! [X1,X9,X3] : lhs_atom47(X1,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_225,plain,
    ! [X1,X9,X3] : lhs_atom45(X1,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_226,plain,
    ! [X22,X8,X12] : lhs_atom44(X22,X8,X12),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_227,plain,
    ! [X10,X17,X12] : lhs_atom43(X10,X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_228,plain,
    ! [X17,X3,X12] : lhs_atom40(X17,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_229,plain,
    ! [X10,X13,X12] : lhs_atom38(X10,X13,X12),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_230,plain,
    ! [X22,X3,X12] : lhs_atom37(X22,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_231,plain,
    ! [X18,X9,X14] : lhs_atom25(X18,X9,X14),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_232,plain,
    ! [X16,X17,X12] : lhs_atom24(X16,X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_233,plain,
    ! [X10,X13,X12] : lhs_atom22(X10,X13,X12),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_234,plain,
    ! [X8,X3,X12] : lhs_atom18(X8,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_235,plain,
    ! [X8,X3,X12] : lhs_atom17(X8,X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_236,plain,
    ! [X10,X11,X12] : lhs_atom16(X10,X11,X12),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_237,plain,
    ! [X2,X6,X3] : lhs_atom7(X2,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_238,plain,
    ! [X2,X6,X3] : lhs_atom5(X2,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_239,plain,
    ! [X2,X6,X3] : lhs_atom4(X2,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_240,plain,
    ! [X2,X6,X3] : lhs_atom3(X2,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_241,plain,
    ! [X1,X2,X3] : lhs_atom1(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_242,plain,
    ! [X17,X12] : lhs_atom154(X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_243,plain,
    ! [X9,X14] : lhs_atom126(X9,X14),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_244,plain,
    ! [X7,X14] : lhs_atom120(X7,X14),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_245,plain,
    ! [X17,X12] : lhs_atom119(X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_246,plain,
    ! [X9,X14] : lhs_atom118(X9,X14),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_247,plain,
    ! [X3,X12] : lhs_atom115(X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_248,plain,
    ! [X17,X12] : lhs_atom114(X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_249,plain,
    ! [X9,X14] : lhs_atom99(X9,X14),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_250,plain,
    ! [X17,X12] : lhs_atom95(X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_251,plain,
    ! [X14,X15] : lhs_atom94(X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_252,plain,
    ! [X3,X12] : lhs_atom91(X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_253,plain,
    ! [X8,X12] : lhs_atom90(X8,X12),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_254,plain,
    ! [X1,X9] : lhs_atom82(X1,X9),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_255,plain,
    ! [X14,X15] : lhs_atom76(X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_256,plain,
    ! [X22,X12] : lhs_atom68(X22,X12),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_257,plain,
    ! [X4,X12] : lhs_atom67(X4,X12),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_258,plain,
    ! [X17,X12] : lhs_atom66(X17,X12),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_259,plain,
    ! [X9,X14] : lhs_atom46(X9,X14),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_260,plain,
    ! [X14,X15] : lhs_atom42(X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_261,plain,
    ! [X14,X15] : lhs_atom41(X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_262,plain,
    ! [X1,X3] : lhs_atom36(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_263,plain,
    ! [X3,X12] : lhs_atom35(X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_264,plain,
    ! [X3,X12] : lhs_atom31(X3,X12),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_265,plain,
    ! [X14,X15] : lhs_atom30(X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_266,plain,
    ! [X14,X15] : lhs_atom27(X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_267,plain,
    ! [X14,X15] : lhs_atom23(X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_268,plain,
    ! [X2,X3] : lhs_atom14(X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_269,plain,
    ! [X1,X8] : lhs_atom12(X1,X8),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_270,plain,
    ! [X1,X3] : lhs_atom11(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_271,plain,
    ! [X1,X3] : lhs_atom10(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_272,plain,
    ! [X14] : lhs_atom137(X14),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_273,plain,
    ! [X9] : lhs_atom132(X9),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_274,plain,
    ! [X1] : lhs_atom129(X1),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_275,plain,
    ! [X12] : lhs_atom125(X12),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_276,plain,
    ! [X14] : lhs_atom122(X14),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_277,plain,
    ! [X14] : lhs_atom113(X14),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_278,plain,
    ! [X12] : lhs_atom102(X12),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_279,plain,
    ! [X14] : lhs_atom93(X14),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_280,plain,
    ! [X14] : lhs_atom77(X14),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_281,plain,
    ! [X14] : lhs_atom75(X14),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_282,plain,
    ! [X14] : lhs_atom74(X14),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_283,plain,
    ! [X14] : lhs_atom65(X14),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_284,plain,
    ! [X14] : lhs_atom60(X14),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_285,plain,
    ! [X14] : lhs_atom59(X14),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_286,plain,
    ! [X14] : lhs_atom29(X14),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_287,plain,
    ! [X3] : lhs_atom13(X3),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_288,plain,
    ! [X3] : lhs_atom8(X3),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_289,plain,
    ! [X7] : lhs_atom6(X7),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_290,plain,
    lhs_atom153,
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_291,plain,
    lhs_atom152,
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_292,plain,
    lhs_atom151,
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_293,plain,
    lhs_atom150,
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_294,plain,
    lhs_atom149,
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_295,plain,
    lhs_atom148,
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_296,plain,
    lhs_atom147,
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_297,plain,
    lhs_atom146,
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_298,plain,
    lhs_atom145,
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_299,plain,
    lhs_atom144,
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_300,plain,
    lhs_atom143,
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_301,plain,
    lhs_atom142,
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_302,plain,
    lhs_atom141,
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_303,plain,
    lhs_atom140,
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_304,plain,
    lhs_atom127,
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_305,plain,
    lhs_atom109,
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_306,plain,
    lhs_atom101,
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_307,plain,
    lhs_atom78,
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_308,plain,
    ! [X40,X41,X42,X43,X44] : lhs_atom134(X40,X41,X42,X43,X44),
    inference(variable_rename,[status(thm)],[c_0_154]) ).

fof(c_0_309,plain,
    ! [X22,X23,X24,X25,X26] : lhs_atom121(X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_155]) ).

fof(c_0_310,plain,
    ! [X10,X11,X12,X13,X14] : lhs_atom89(X10,X11,X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_156]) ).

fof(c_0_311,plain,
    ! [X35,X36,X37,X38,X39] : lhs_atom87(X35,X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_157]) ).

fof(c_0_312,plain,
    ! [X35,X36,X37,X38,X39] : lhs_atom86(X35,X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_158]) ).

fof(c_0_313,plain,
    ! [X35,X36,X37,X38,X39] : lhs_atom85(X35,X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_159]) ).

fof(c_0_314,plain,
    ! [X35,X36,X37,X38,X39] : lhs_atom84(X35,X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_160]) ).

fof(c_0_315,plain,
    ! [X22,X23,X24,X25,X26] : lhs_atom50(X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_161]) ).

fof(c_0_316,plain,
    ! [X24,X25,X26,X27,X28] : lhs_atom49(X24,X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_162]) ).

fof(c_0_317,plain,
    ! [X22,X23,X24,X25,X26] : lhs_atom48(X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_163]) ).

fof(c_0_318,plain,
    ! [X22,X23,X24,X25,X26] : lhs_atom39(X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_164]) ).

fof(c_0_319,plain,
    ! [X22,X23,X24,X25,X26] : lhs_atom32(X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_165]) ).

fof(c_0_320,plain,
    ! [X42,X43,X44,X45] : lhs_atom139(X42,X43,X44,X45),
    inference(variable_rename,[status(thm)],[c_0_166]) ).

fof(c_0_321,plain,
    ! [X42,X43,X44,X45] : lhs_atom138(X42,X43,X44,X45),
    inference(variable_rename,[status(thm)],[c_0_167]) ).

fof(c_0_322,plain,
    ! [X10,X11,X12,X13] : lhs_atom131(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_168]) ).

fof(c_0_323,plain,
    ! [X10,X11,X12,X13] : lhs_atom130(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_169]) ).

fof(c_0_324,plain,
    ! [X10,X11,X12,X13] : lhs_atom117(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_170]) ).

fof(c_0_325,plain,
    ! [X37,X38,X39,X40] : lhs_atom112(X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_171]) ).

fof(c_0_326,plain,
    ! [X37,X38,X39,X40] : lhs_atom97(X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_172]) ).

fof(c_0_327,plain,
    ! [X36,X37,X38,X39] : lhs_atom92(X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_173]) ).

fof(c_0_328,plain,
    ! [X10,X11,X12,X13] : lhs_atom88(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_174]) ).

fof(c_0_329,plain,
    ! [X19,X20,X21,X22] : lhs_atom64(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_175]) ).

fof(c_0_330,plain,
    ! [X23,X24,X25,X26] : lhs_atom34(X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_176]) ).

fof(c_0_331,plain,
    ! [X23,X24,X25,X26] : lhs_atom33(X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_177]) ).

fof(c_0_332,plain,
    ! [X20,X21,X22,X23] : lhs_atom28(X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_178]) ).

fof(c_0_333,plain,
    ! [X10,X11,X12,X13] : lhs_atom26(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_179]) ).

fof(c_0_334,plain,
    ! [X13,X14,X15,X16] : lhs_atom21(X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_180]) ).

fof(c_0_335,plain,
    ! [X13,X14,X15,X16] : lhs_atom20(X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_181]) ).

fof(c_0_336,plain,
    ! [X13,X14,X15,X16] : lhs_atom19(X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_182]) ).

fof(c_0_337,plain,
    ! [X10,X11,X12,X13] : lhs_atom15(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_183]) ).

fof(c_0_338,plain,
    ! [X6,X7,X8,X9] : lhs_atom9(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_184]) ).

fof(c_0_339,plain,
    ! [X6,X7,X8,X9] : lhs_atom2(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_185]) ).

fof(c_0_340,plain,
    ! [X10,X11,X12] : lhs_atom136(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_186]) ).

fof(c_0_341,plain,
    ! [X15,X16,X17] : lhs_atom135(X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_187]) ).

fof(c_0_342,plain,
    ! [X19,X20,X21] : lhs_atom133(X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_188]) ).

fof(c_0_343,plain,
    ! [X4,X5,X6] : lhs_atom128(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_189]) ).

fof(c_0_344,plain,
    ! [X10,X11,X12] : lhs_atom124(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_190]) ).

fof(c_0_345,plain,
    ! [X18,X19,X20] : lhs_atom123(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_191]) ).

fof(c_0_346,plain,
    ! [X10,X11,X12] : lhs_atom116(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_192]) ).

fof(c_0_347,plain,
    ! [X15,X16,X17] : lhs_atom111(X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_193]) ).

fof(c_0_348,plain,
    ! [X18,X19,X20] : lhs_atom110(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_194]) ).

fof(c_0_349,plain,
    ! [X39,X40,X41] : lhs_atom108(X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_195]) ).

fof(c_0_350,plain,
    ! [X10,X11,X12] : lhs_atom107(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_196]) ).

fof(c_0_351,plain,
    ! [X14,X15,X16] : lhs_atom106(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_197]) ).

fof(c_0_352,plain,
    ! [X4,X5,X6] : lhs_atom105(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_198]) ).

fof(c_0_353,plain,
    ! [X18,X19,X20] : lhs_atom104(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_199]) ).

fof(c_0_354,plain,
    ! [X23,X24,X25] : lhs_atom103(X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_200]) ).

fof(c_0_355,plain,
    ! [X18,X19,X20] : lhs_atom100(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_201]) ).

fof(c_0_356,plain,
    ! [X38,X39,X40] : lhs_atom98(X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_202]) ).

fof(c_0_357,plain,
    ! [X10,X11,X12] : lhs_atom96(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_203]) ).

fof(c_0_358,plain,
    ! [X10,X11,X12] : lhs_atom83(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_204]) ).

fof(c_0_359,plain,
    ! [X4,X5,X6] : lhs_atom81(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_205]) ).

fof(c_0_360,plain,
    ! [X31,X32,X33] : lhs_atom80(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_206]) ).

fof(c_0_361,plain,
    ! [X31,X32,X33] : lhs_atom79(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_207]) ).

fof(c_0_362,plain,
    ! [X29,X30,X31] : lhs_atom73(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_208]) ).

fof(c_0_363,plain,
    ! [X29,X30,X31] : lhs_atom72(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_209]) ).

fof(c_0_364,plain,
    ! [X18,X19,X20] : lhs_atom71(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_210]) ).

fof(c_0_365,plain,
    ! [X23,X24,X25] : lhs_atom70(X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_211]) ).

fof(c_0_366,plain,
    ! [X18,X19,X20] : lhs_atom69(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_212]) ).

fof(c_0_367,plain,
    ! [X18,X19,X20] : lhs_atom63(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_213]) ).

fof(c_0_368,plain,
    ! [X26,X27,X28] : lhs_atom62(X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_214]) ).

fof(c_0_369,plain,
    ! [X18,X19,X20] : lhs_atom61(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_215]) ).

fof(c_0_370,plain,
    ! [X13,X14,X15] : lhs_atom58(X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_216]) ).

fof(c_0_371,plain,
    ! [X23,X24,X25] : lhs_atom57(X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_217]) ).

fof(c_0_372,plain,
    ! [X13,X14,X15] : lhs_atom56(X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_218]) ).

fof(c_0_373,plain,
    ! [X14,X15,X16] : lhs_atom55(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_219]) ).

fof(c_0_374,plain,
    ! [X19,X20,X21] : lhs_atom54(X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_220]) ).

fof(c_0_375,plain,
    ! [X9,X10,X11] : lhs_atom53(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_221]) ).

fof(c_0_376,plain,
    ! [X25,X26,X27] : lhs_atom52(X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_222]) ).

fof(c_0_377,plain,
    ! [X18,X19,X20] : lhs_atom51(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_223]) ).

fof(c_0_378,plain,
    ! [X10,X11,X12] : lhs_atom47(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_224]) ).

fof(c_0_379,plain,
    ! [X10,X11,X12] : lhs_atom45(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_225]) ).

fof(c_0_380,plain,
    ! [X23,X24,X25] : lhs_atom44(X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_226]) ).

fof(c_0_381,plain,
    ! [X18,X19,X20] : lhs_atom43(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_227]) ).

fof(c_0_382,plain,
    ! [X18,X19,X20] : lhs_atom40(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_228]) ).

fof(c_0_383,plain,
    ! [X14,X15,X16] : lhs_atom38(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_229]) ).

fof(c_0_384,plain,
    ! [X23,X24,X25] : lhs_atom37(X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_230]) ).

fof(c_0_385,plain,
    ! [X19,X20,X21] : lhs_atom25(X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_231]) ).

fof(c_0_386,plain,
    ! [X18,X19,X20] : lhs_atom24(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_232]) ).

fof(c_0_387,plain,
    ! [X14,X15,X16] : lhs_atom22(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_233]) ).

fof(c_0_388,plain,
    ! [X13,X14,X15] : lhs_atom18(X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_234]) ).

fof(c_0_389,plain,
    ! [X13,X14,X15] : lhs_atom17(X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_235]) ).

fof(c_0_390,plain,
    ! [X13,X14,X15] : lhs_atom16(X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_236]) ).

fof(c_0_391,plain,
    ! [X7,X8,X9] : lhs_atom7(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_237]) ).

fof(c_0_392,plain,
    ! [X7,X8,X9] : lhs_atom5(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_238]) ).

fof(c_0_393,plain,
    ! [X7,X8,X9] : lhs_atom4(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_239]) ).

fof(c_0_394,plain,
    ! [X7,X8,X9] : lhs_atom3(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_240]) ).

fof(c_0_395,plain,
    ! [X4,X5,X6] : lhs_atom1(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_241]) ).

fof(c_0_396,plain,
    ! [X18,X19] : lhs_atom154(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_242]) ).

fof(c_0_397,plain,
    ! [X15,X16] : lhs_atom126(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_243]) ).

fof(c_0_398,plain,
    ! [X15,X16] : lhs_atom120(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_244]) ).

fof(c_0_399,plain,
    ! [X18,X19] : lhs_atom119(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_245]) ).

fof(c_0_400,plain,
    ! [X15,X16] : lhs_atom118(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_246]) ).

fof(c_0_401,plain,
    ! [X13,X14] : lhs_atom115(X13,X14),
    inference(variable_rename,[status(thm)],[c_0_247]) ).

fof(c_0_402,plain,
    ! [X18,X19] : lhs_atom114(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_248]) ).

fof(c_0_403,plain,
    ! [X15,X16] : lhs_atom99(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_249]) ).

fof(c_0_404,plain,
    ! [X18,X19] : lhs_atom95(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_250]) ).

fof(c_0_405,plain,
    ! [X16,X17] : lhs_atom94(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_251]) ).

fof(c_0_406,plain,
    ! [X13,X14] : lhs_atom91(X13,X14),
    inference(variable_rename,[status(thm)],[c_0_252]) ).

fof(c_0_407,plain,
    ! [X13,X14] : lhs_atom90(X13,X14),
    inference(variable_rename,[status(thm)],[c_0_253]) ).

fof(c_0_408,plain,
    ! [X10,X11] : lhs_atom82(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_254]) ).

fof(c_0_409,plain,
    ! [X16,X17] : lhs_atom76(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_255]) ).

fof(c_0_410,plain,
    ! [X23,X24] : lhs_atom68(X23,X24),
    inference(variable_rename,[status(thm)],[c_0_256]) ).

fof(c_0_411,plain,
    ! [X13,X14] : lhs_atom67(X13,X14),
    inference(variable_rename,[status(thm)],[c_0_257]) ).

fof(c_0_412,plain,
    ! [X18,X19] : lhs_atom66(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_258]) ).

fof(c_0_413,plain,
    ! [X15,X16] : lhs_atom46(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_259]) ).

fof(c_0_414,plain,
    ! [X16,X17] : lhs_atom42(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_260]) ).

fof(c_0_415,plain,
    ! [X16,X17] : lhs_atom41(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_261]) ).

fof(c_0_416,plain,
    ! [X4,X5] : lhs_atom36(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_262]) ).

fof(c_0_417,plain,
    ! [X13,X14] : lhs_atom35(X13,X14),
    inference(variable_rename,[status(thm)],[c_0_263]) ).

fof(c_0_418,plain,
    ! [X13,X14] : lhs_atom31(X13,X14),
    inference(variable_rename,[status(thm)],[c_0_264]) ).

fof(c_0_419,plain,
    ! [X16,X17] : lhs_atom30(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_265]) ).

fof(c_0_420,plain,
    ! [X16,X17] : lhs_atom27(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_266]) ).

fof(c_0_421,plain,
    ! [X16,X17] : lhs_atom23(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_267]) ).

fof(c_0_422,plain,
    ! [X4,X5] : lhs_atom14(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_268]) ).

fof(c_0_423,plain,
    ! [X9,X10] : lhs_atom12(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_269]) ).

fof(c_0_424,plain,
    ! [X4,X5] : lhs_atom11(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_270]) ).

fof(c_0_425,plain,
    ! [X4,X5] : lhs_atom10(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_271]) ).

fof(c_0_426,plain,
    ! [X15] : lhs_atom137(X15),
    inference(variable_rename,[status(thm)],[c_0_272]) ).

fof(c_0_427,plain,
    ! [X10] : lhs_atom132(X10),
    inference(variable_rename,[status(thm)],[c_0_273]) ).

fof(c_0_428,plain,
    ! [X2] : lhs_atom129(X2),
    inference(variable_rename,[status(thm)],[c_0_274]) ).

fof(c_0_429,plain,
    ! [X13] : lhs_atom125(X13),
    inference(variable_rename,[status(thm)],[c_0_275]) ).

fof(c_0_430,plain,
    ! [X15] : lhs_atom122(X15),
    inference(variable_rename,[status(thm)],[c_0_276]) ).

fof(c_0_431,plain,
    ! [X15] : lhs_atom113(X15),
    inference(variable_rename,[status(thm)],[c_0_277]) ).

fof(c_0_432,plain,
    ! [X13] : lhs_atom102(X13),
    inference(variable_rename,[status(thm)],[c_0_278]) ).

fof(c_0_433,plain,
    ! [X15] : lhs_atom93(X15),
    inference(variable_rename,[status(thm)],[c_0_279]) ).

fof(c_0_434,plain,
    ! [X15] : lhs_atom77(X15),
    inference(variable_rename,[status(thm)],[c_0_280]) ).

fof(c_0_435,plain,
    ! [X15] : lhs_atom75(X15),
    inference(variable_rename,[status(thm)],[c_0_281]) ).

fof(c_0_436,plain,
    ! [X15] : lhs_atom74(X15),
    inference(variable_rename,[status(thm)],[c_0_282]) ).

fof(c_0_437,plain,
    ! [X15] : lhs_atom65(X15),
    inference(variable_rename,[status(thm)],[c_0_283]) ).

fof(c_0_438,plain,
    ! [X15] : lhs_atom60(X15),
    inference(variable_rename,[status(thm)],[c_0_284]) ).

fof(c_0_439,plain,
    ! [X15] : lhs_atom59(X15),
    inference(variable_rename,[status(thm)],[c_0_285]) ).

fof(c_0_440,plain,
    ! [X15] : lhs_atom29(X15),
    inference(variable_rename,[status(thm)],[c_0_286]) ).

fof(c_0_441,plain,
    ! [X4] : lhs_atom13(X4),
    inference(variable_rename,[status(thm)],[c_0_287]) ).

fof(c_0_442,plain,
    ! [X4] : lhs_atom8(X4),
    inference(variable_rename,[status(thm)],[c_0_288]) ).

fof(c_0_443,plain,
    ! [X8] : lhs_atom6(X8),
    inference(variable_rename,[status(thm)],[c_0_289]) ).

fof(c_0_444,plain,
    lhs_atom153,
    c_0_290 ).

fof(c_0_445,plain,
    lhs_atom152,
    c_0_291 ).

fof(c_0_446,plain,
    lhs_atom151,
    c_0_292 ).

fof(c_0_447,plain,
    lhs_atom150,
    c_0_293 ).

fof(c_0_448,plain,
    lhs_atom149,
    c_0_294 ).

fof(c_0_449,plain,
    lhs_atom148,
    c_0_295 ).

fof(c_0_450,plain,
    lhs_atom147,
    c_0_296 ).

fof(c_0_451,plain,
    lhs_atom146,
    c_0_297 ).

fof(c_0_452,plain,
    lhs_atom145,
    c_0_298 ).

fof(c_0_453,plain,
    lhs_atom144,
    c_0_299 ).

fof(c_0_454,plain,
    lhs_atom143,
    c_0_300 ).

fof(c_0_455,plain,
    lhs_atom142,
    c_0_301 ).

fof(c_0_456,plain,
    lhs_atom141,
    c_0_302 ).

fof(c_0_457,plain,
    lhs_atom140,
    c_0_303 ).

fof(c_0_458,plain,
    lhs_atom127,
    c_0_304 ).

fof(c_0_459,plain,
    lhs_atom109,
    c_0_305 ).

fof(c_0_460,plain,
    lhs_atom101,
    c_0_306 ).

fof(c_0_461,plain,
    lhs_atom78,
    c_0_307 ).

cnf(c_0_462,plain,
    lhs_atom134(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_308]) ).

cnf(c_0_463,plain,
    lhs_atom121(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_309]) ).

cnf(c_0_464,plain,
    lhs_atom89(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_310]) ).

cnf(c_0_465,plain,
    lhs_atom87(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_311]) ).

cnf(c_0_466,plain,
    lhs_atom86(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_312]) ).

cnf(c_0_467,plain,
    lhs_atom85(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_468,plain,
    lhs_atom84(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_314]) ).

cnf(c_0_469,plain,
    lhs_atom50(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_315]) ).

cnf(c_0_470,plain,
    lhs_atom49(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_471,plain,
    lhs_atom48(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_317]) ).

cnf(c_0_472,plain,
    lhs_atom39(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_318]) ).

cnf(c_0_473,plain,
    lhs_atom32(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_319]) ).

cnf(c_0_474,plain,
    lhs_atom139(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_320]) ).

cnf(c_0_475,plain,
    lhs_atom138(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_321]) ).

cnf(c_0_476,plain,
    lhs_atom131(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_322]) ).

cnf(c_0_477,plain,
    lhs_atom130(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_323]) ).

cnf(c_0_478,plain,
    lhs_atom117(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_324]) ).

cnf(c_0_479,plain,
    lhs_atom112(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_325]) ).

cnf(c_0_480,plain,
    lhs_atom97(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_326]) ).

cnf(c_0_481,plain,
    lhs_atom92(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_327]) ).

cnf(c_0_482,plain,
    lhs_atom88(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_328]) ).

cnf(c_0_483,plain,
    lhs_atom64(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_329]) ).

cnf(c_0_484,plain,
    lhs_atom34(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_330]) ).

cnf(c_0_485,plain,
    lhs_atom33(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_331]) ).

cnf(c_0_486,plain,
    lhs_atom28(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_332]) ).

cnf(c_0_487,plain,
    lhs_atom26(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_333]) ).

cnf(c_0_488,plain,
    lhs_atom21(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_334]) ).

cnf(c_0_489,plain,
    lhs_atom20(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_335]) ).

cnf(c_0_490,plain,
    lhs_atom19(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_336]) ).

cnf(c_0_491,plain,
    lhs_atom15(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_337]) ).

cnf(c_0_492,plain,
    lhs_atom9(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_338]) ).

cnf(c_0_493,plain,
    lhs_atom2(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_339]) ).

cnf(c_0_494,plain,
    lhs_atom136(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_340]) ).

cnf(c_0_495,plain,
    lhs_atom135(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_341]) ).

cnf(c_0_496,plain,
    lhs_atom133(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_497,plain,
    lhs_atom128(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_343]) ).

cnf(c_0_498,plain,
    lhs_atom124(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_344]) ).

cnf(c_0_499,plain,
    lhs_atom123(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_345]) ).

cnf(c_0_500,plain,
    lhs_atom116(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_346]) ).

cnf(c_0_501,plain,
    lhs_atom111(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_347]) ).

cnf(c_0_502,plain,
    lhs_atom110(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_348]) ).

cnf(c_0_503,plain,
    lhs_atom108(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_349]) ).

cnf(c_0_504,plain,
    lhs_atom107(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_350]) ).

cnf(c_0_505,plain,
    lhs_atom106(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_351]) ).

cnf(c_0_506,plain,
    lhs_atom105(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_352]) ).

cnf(c_0_507,plain,
    lhs_atom104(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_353]) ).

cnf(c_0_508,plain,
    lhs_atom103(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_354]) ).

cnf(c_0_509,plain,
    lhs_atom100(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_355]) ).

cnf(c_0_510,plain,
    lhs_atom98(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_356]) ).

cnf(c_0_511,plain,
    lhs_atom96(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_357]) ).

cnf(c_0_512,plain,
    lhs_atom83(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_358]) ).

cnf(c_0_513,plain,
    lhs_atom81(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_359]) ).

cnf(c_0_514,plain,
    lhs_atom80(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_360]) ).

cnf(c_0_515,plain,
    lhs_atom79(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_361]) ).

cnf(c_0_516,plain,
    lhs_atom73(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_517,plain,
    lhs_atom72(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_518,plain,
    lhs_atom71(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_364]) ).

cnf(c_0_519,plain,
    lhs_atom70(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_520,plain,
    lhs_atom69(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_366]) ).

cnf(c_0_521,plain,
    lhs_atom63(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_367]) ).

cnf(c_0_522,plain,
    lhs_atom62(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_368]) ).

cnf(c_0_523,plain,
    lhs_atom61(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_369]) ).

cnf(c_0_524,plain,
    lhs_atom58(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_370]) ).

cnf(c_0_525,plain,
    lhs_atom57(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_371]) ).

cnf(c_0_526,plain,
    lhs_atom56(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_372]) ).

cnf(c_0_527,plain,
    lhs_atom55(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_373]) ).

cnf(c_0_528,plain,
    lhs_atom54(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_374]) ).

cnf(c_0_529,plain,
    lhs_atom53(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_375]) ).

cnf(c_0_530,plain,
    lhs_atom52(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_376]) ).

cnf(c_0_531,plain,
    lhs_atom51(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_377]) ).

cnf(c_0_532,plain,
    lhs_atom47(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_378]) ).

cnf(c_0_533,plain,
    lhs_atom45(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_379]) ).

cnf(c_0_534,plain,
    lhs_atom44(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_380]) ).

cnf(c_0_535,plain,
    lhs_atom43(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_381]) ).

cnf(c_0_536,plain,
    lhs_atom40(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_382]) ).

cnf(c_0_537,plain,
    lhs_atom38(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_383]) ).

cnf(c_0_538,plain,
    lhs_atom37(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_384]) ).

cnf(c_0_539,plain,
    lhs_atom25(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_385]) ).

cnf(c_0_540,plain,
    lhs_atom24(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_386]) ).

cnf(c_0_541,plain,
    lhs_atom22(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_387]) ).

cnf(c_0_542,plain,
    lhs_atom18(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_388]) ).

cnf(c_0_543,plain,
    lhs_atom17(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_389]) ).

cnf(c_0_544,plain,
    lhs_atom16(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_390]) ).

cnf(c_0_545,plain,
    lhs_atom7(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_391]) ).

cnf(c_0_546,plain,
    lhs_atom5(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_392]) ).

cnf(c_0_547,plain,
    lhs_atom4(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_393]) ).

cnf(c_0_548,plain,
    lhs_atom3(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_394]) ).

cnf(c_0_549,plain,
    lhs_atom1(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_395]) ).

cnf(c_0_550,plain,
    lhs_atom154(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_396]) ).

cnf(c_0_551,plain,
    lhs_atom126(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_397]) ).

cnf(c_0_552,plain,
    lhs_atom120(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_398]) ).

cnf(c_0_553,plain,
    lhs_atom119(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_399]) ).

cnf(c_0_554,plain,
    lhs_atom118(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_400]) ).

cnf(c_0_555,plain,
    lhs_atom115(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_401]) ).

cnf(c_0_556,plain,
    lhs_atom114(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_402]) ).

cnf(c_0_557,plain,
    lhs_atom99(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_403]) ).

cnf(c_0_558,plain,
    lhs_atom95(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_404]) ).

cnf(c_0_559,plain,
    lhs_atom94(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_405]) ).

cnf(c_0_560,plain,
    lhs_atom91(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_406]) ).

cnf(c_0_561,plain,
    lhs_atom90(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_407]) ).

cnf(c_0_562,plain,
    lhs_atom82(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_408]) ).

cnf(c_0_563,plain,
    lhs_atom76(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_409]) ).

cnf(c_0_564,plain,
    lhs_atom68(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_410]) ).

cnf(c_0_565,plain,
    lhs_atom67(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_411]) ).

cnf(c_0_566,plain,
    lhs_atom66(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_412]) ).

cnf(c_0_567,plain,
    lhs_atom46(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_413]) ).

cnf(c_0_568,plain,
    lhs_atom42(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_414]) ).

cnf(c_0_569,plain,
    lhs_atom41(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_415]) ).

cnf(c_0_570,plain,
    lhs_atom36(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_416]) ).

cnf(c_0_571,plain,
    lhs_atom35(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_417]) ).

cnf(c_0_572,plain,
    lhs_atom31(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_418]) ).

cnf(c_0_573,plain,
    lhs_atom30(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_419]) ).

cnf(c_0_574,plain,
    lhs_atom27(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_420]) ).

cnf(c_0_575,plain,
    lhs_atom23(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_421]) ).

cnf(c_0_576,plain,
    lhs_atom14(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_422]) ).

cnf(c_0_577,plain,
    lhs_atom12(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_423]) ).

cnf(c_0_578,plain,
    lhs_atom11(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_424]) ).

cnf(c_0_579,plain,
    lhs_atom10(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_425]) ).

cnf(c_0_580,plain,
    lhs_atom137(X1),
    inference(split_conjunct,[status(thm)],[c_0_426]) ).

cnf(c_0_581,plain,
    lhs_atom132(X1),
    inference(split_conjunct,[status(thm)],[c_0_427]) ).

cnf(c_0_582,plain,
    lhs_atom129(X1),
    inference(split_conjunct,[status(thm)],[c_0_428]) ).

cnf(c_0_583,plain,
    lhs_atom125(X1),
    inference(split_conjunct,[status(thm)],[c_0_429]) ).

cnf(c_0_584,plain,
    lhs_atom122(X1),
    inference(split_conjunct,[status(thm)],[c_0_430]) ).

cnf(c_0_585,plain,
    lhs_atom113(X1),
    inference(split_conjunct,[status(thm)],[c_0_431]) ).

cnf(c_0_586,plain,
    lhs_atom102(X1),
    inference(split_conjunct,[status(thm)],[c_0_432]) ).

cnf(c_0_587,plain,
    lhs_atom93(X1),
    inference(split_conjunct,[status(thm)],[c_0_433]) ).

cnf(c_0_588,plain,
    lhs_atom77(X1),
    inference(split_conjunct,[status(thm)],[c_0_434]) ).

cnf(c_0_589,plain,
    lhs_atom75(X1),
    inference(split_conjunct,[status(thm)],[c_0_435]) ).

cnf(c_0_590,plain,
    lhs_atom74(X1),
    inference(split_conjunct,[status(thm)],[c_0_436]) ).

cnf(c_0_591,plain,
    lhs_atom65(X1),
    inference(split_conjunct,[status(thm)],[c_0_437]) ).

cnf(c_0_592,plain,
    lhs_atom60(X1),
    inference(split_conjunct,[status(thm)],[c_0_438]) ).

cnf(c_0_593,plain,
    lhs_atom59(X1),
    inference(split_conjunct,[status(thm)],[c_0_439]) ).

cnf(c_0_594,plain,
    lhs_atom29(X1),
    inference(split_conjunct,[status(thm)],[c_0_440]) ).

cnf(c_0_595,plain,
    lhs_atom13(X1),
    inference(split_conjunct,[status(thm)],[c_0_441]) ).

cnf(c_0_596,plain,
    lhs_atom8(X1),
    inference(split_conjunct,[status(thm)],[c_0_442]) ).

cnf(c_0_597,plain,
    lhs_atom6(X1),
    inference(split_conjunct,[status(thm)],[c_0_443]) ).

cnf(c_0_598,plain,
    lhs_atom153,
    inference(split_conjunct,[status(thm)],[c_0_444]) ).

cnf(c_0_599,plain,
    lhs_atom152,
    inference(split_conjunct,[status(thm)],[c_0_445]) ).

cnf(c_0_600,plain,
    lhs_atom151,
    inference(split_conjunct,[status(thm)],[c_0_446]) ).

cnf(c_0_601,plain,
    lhs_atom150,
    inference(split_conjunct,[status(thm)],[c_0_447]) ).

cnf(c_0_602,plain,
    lhs_atom149,
    inference(split_conjunct,[status(thm)],[c_0_448]) ).

cnf(c_0_603,plain,
    lhs_atom148,
    inference(split_conjunct,[status(thm)],[c_0_449]) ).

cnf(c_0_604,plain,
    lhs_atom147,
    inference(split_conjunct,[status(thm)],[c_0_450]) ).

cnf(c_0_605,plain,
    lhs_atom146,
    inference(split_conjunct,[status(thm)],[c_0_451]) ).

cnf(c_0_606,plain,
    lhs_atom145,
    inference(split_conjunct,[status(thm)],[c_0_452]) ).

cnf(c_0_607,plain,
    lhs_atom144,
    inference(split_conjunct,[status(thm)],[c_0_453]) ).

cnf(c_0_608,plain,
    lhs_atom143,
    inference(split_conjunct,[status(thm)],[c_0_454]) ).

cnf(c_0_609,plain,
    lhs_atom142,
    inference(split_conjunct,[status(thm)],[c_0_455]) ).

cnf(c_0_610,plain,
    lhs_atom141,
    inference(split_conjunct,[status(thm)],[c_0_456]) ).

cnf(c_0_611,plain,
    lhs_atom140,
    inference(split_conjunct,[status(thm)],[c_0_457]) ).

cnf(c_0_612,plain,
    lhs_atom127,
    inference(split_conjunct,[status(thm)],[c_0_458]) ).

cnf(c_0_613,plain,
    lhs_atom109,
    inference(split_conjunct,[status(thm)],[c_0_459]) ).

cnf(c_0_614,plain,
    lhs_atom101,
    inference(split_conjunct,[status(thm)],[c_0_460]) ).

cnf(c_0_615,plain,
    lhs_atom78,
    inference(split_conjunct,[status(thm)],[c_0_461]) ).

cnf(c_0_616,plain,
    lhs_atom134(X1,X2,X3,X4,X5),
    c_0_462,
    [final] ).

cnf(c_0_617,plain,
    lhs_atom121(X1,X2,X3,X4,X5),
    c_0_463,
    [final] ).

cnf(c_0_618,plain,
    lhs_atom89(X1,X2,X3,X4,X5),
    c_0_464,
    [final] ).

cnf(c_0_619,plain,
    lhs_atom87(X1,X2,X3,X4,X5),
    c_0_465,
    [final] ).

cnf(c_0_620,plain,
    lhs_atom86(X1,X2,X3,X4,X5),
    c_0_466,
    [final] ).

cnf(c_0_621,plain,
    lhs_atom85(X1,X2,X3,X4,X5),
    c_0_467,
    [final] ).

cnf(c_0_622,plain,
    lhs_atom84(X1,X2,X3,X4,X5),
    c_0_468,
    [final] ).

cnf(c_0_623,plain,
    lhs_atom50(X1,X2,X3,X4,X5),
    c_0_469,
    [final] ).

cnf(c_0_624,plain,
    lhs_atom49(X1,X2,X3,X4,X5),
    c_0_470,
    [final] ).

cnf(c_0_625,plain,
    lhs_atom48(X1,X2,X3,X4,X5),
    c_0_471,
    [final] ).

cnf(c_0_626,plain,
    lhs_atom39(X1,X2,X3,X4,X5),
    c_0_472,
    [final] ).

cnf(c_0_627,plain,
    lhs_atom32(X1,X2,X3,X4,X5),
    c_0_473,
    [final] ).

cnf(c_0_628,plain,
    lhs_atom139(X1,X2,X3,X4),
    c_0_474,
    [final] ).

cnf(c_0_629,plain,
    lhs_atom138(X1,X2,X3,X4),
    c_0_475,
    [final] ).

cnf(c_0_630,plain,
    lhs_atom131(X1,X2,X3,X4),
    c_0_476,
    [final] ).

cnf(c_0_631,plain,
    lhs_atom130(X1,X2,X3,X4),
    c_0_477,
    [final] ).

cnf(c_0_632,plain,
    lhs_atom117(X1,X2,X3,X4),
    c_0_478,
    [final] ).

cnf(c_0_633,plain,
    lhs_atom112(X1,X2,X3,X4),
    c_0_479,
    [final] ).

cnf(c_0_634,plain,
    lhs_atom97(X1,X2,X3,X4),
    c_0_480,
    [final] ).

cnf(c_0_635,plain,
    lhs_atom92(X1,X2,X3,X4),
    c_0_481,
    [final] ).

cnf(c_0_636,plain,
    lhs_atom88(X1,X2,X3,X4),
    c_0_482,
    [final] ).

cnf(c_0_637,plain,
    lhs_atom64(X1,X2,X3,X4),
    c_0_483,
    [final] ).

cnf(c_0_638,plain,
    lhs_atom34(X1,X2,X3,X4),
    c_0_484,
    [final] ).

cnf(c_0_639,plain,
    lhs_atom33(X1,X2,X3,X4),
    c_0_485,
    [final] ).

cnf(c_0_640,plain,
    lhs_atom28(X1,X2,X3,X4),
    c_0_486,
    [final] ).

cnf(c_0_641,plain,
    lhs_atom26(X1,X2,X3,X4),
    c_0_487,
    [final] ).

cnf(c_0_642,plain,
    lhs_atom21(X1,X2,X3,X4),
    c_0_488,
    [final] ).

cnf(c_0_643,plain,
    lhs_atom20(X1,X2,X3,X4),
    c_0_489,
    [final] ).

cnf(c_0_644,plain,
    lhs_atom19(X1,X2,X3,X4),
    c_0_490,
    [final] ).

cnf(c_0_645,plain,
    lhs_atom15(X1,X2,X3,X4),
    c_0_491,
    [final] ).

cnf(c_0_646,plain,
    lhs_atom9(X1,X2,X3,X4),
    c_0_492,
    [final] ).

cnf(c_0_647,plain,
    lhs_atom2(X1,X2,X3,X4),
    c_0_493,
    [final] ).

cnf(c_0_648,plain,
    lhs_atom136(X1,X2,X3),
    c_0_494,
    [final] ).

cnf(c_0_649,plain,
    lhs_atom135(X1,X2,X3),
    c_0_495,
    [final] ).

cnf(c_0_650,plain,
    lhs_atom133(X1,X2,X3),
    c_0_496,
    [final] ).

cnf(c_0_651,plain,
    lhs_atom128(X1,X2,X3),
    c_0_497,
    [final] ).

cnf(c_0_652,plain,
    lhs_atom124(X1,X2,X3),
    c_0_498,
    [final] ).

cnf(c_0_653,plain,
    lhs_atom123(X1,X2,X3),
    c_0_499,
    [final] ).

cnf(c_0_654,plain,
    lhs_atom116(X1,X2,X3),
    c_0_500,
    [final] ).

cnf(c_0_655,plain,
    lhs_atom111(X1,X2,X3),
    c_0_501,
    [final] ).

cnf(c_0_656,plain,
    lhs_atom110(X1,X2,X3),
    c_0_502,
    [final] ).

cnf(c_0_657,plain,
    lhs_atom108(X1,X2,X3),
    c_0_503,
    [final] ).

cnf(c_0_658,plain,
    lhs_atom107(X1,X2,X3),
    c_0_504,
    [final] ).

cnf(c_0_659,plain,
    lhs_atom106(X1,X2,X3),
    c_0_505,
    [final] ).

cnf(c_0_660,plain,
    lhs_atom105(X1,X2,X3),
    c_0_506,
    [final] ).

cnf(c_0_661,plain,
    lhs_atom104(X1,X2,X3),
    c_0_507,
    [final] ).

cnf(c_0_662,plain,
    lhs_atom103(X1,X2,X3),
    c_0_508,
    [final] ).

cnf(c_0_663,plain,
    lhs_atom100(X1,X2,X3),
    c_0_509,
    [final] ).

cnf(c_0_664,plain,
    lhs_atom98(X1,X2,X3),
    c_0_510,
    [final] ).

cnf(c_0_665,plain,
    lhs_atom96(X1,X2,X3),
    c_0_511,
    [final] ).

cnf(c_0_666,plain,
    lhs_atom83(X1,X2,X3),
    c_0_512,
    [final] ).

cnf(c_0_667,plain,
    lhs_atom81(X1,X2,X3),
    c_0_513,
    [final] ).

cnf(c_0_668,plain,
    lhs_atom80(X1,X2,X3),
    c_0_514,
    [final] ).

cnf(c_0_669,plain,
    lhs_atom79(X1,X2,X3),
    c_0_515,
    [final] ).

cnf(c_0_670,plain,
    lhs_atom73(X1,X2,X3),
    c_0_516,
    [final] ).

cnf(c_0_671,plain,
    lhs_atom72(X1,X2,X3),
    c_0_517,
    [final] ).

cnf(c_0_672,plain,
    lhs_atom71(X1,X2,X3),
    c_0_518,
    [final] ).

cnf(c_0_673,plain,
    lhs_atom70(X1,X2,X3),
    c_0_519,
    [final] ).

cnf(c_0_674,plain,
    lhs_atom69(X1,X2,X3),
    c_0_520,
    [final] ).

cnf(c_0_675,plain,
    lhs_atom63(X1,X2,X3),
    c_0_521,
    [final] ).

cnf(c_0_676,plain,
    lhs_atom62(X1,X2,X3),
    c_0_522,
    [final] ).

cnf(c_0_677,plain,
    lhs_atom61(X1,X2,X3),
    c_0_523,
    [final] ).

cnf(c_0_678,plain,
    lhs_atom58(X1,X2,X3),
    c_0_524,
    [final] ).

cnf(c_0_679,plain,
    lhs_atom57(X1,X2,X3),
    c_0_525,
    [final] ).

cnf(c_0_680,plain,
    lhs_atom56(X1,X2,X3),
    c_0_526,
    [final] ).

cnf(c_0_681,plain,
    lhs_atom55(X1,X2,X3),
    c_0_527,
    [final] ).

cnf(c_0_682,plain,
    lhs_atom54(X1,X2,X3),
    c_0_528,
    [final] ).

cnf(c_0_683,plain,
    lhs_atom53(X1,X2,X3),
    c_0_529,
    [final] ).

cnf(c_0_684,plain,
    lhs_atom52(X1,X2,X3),
    c_0_530,
    [final] ).

cnf(c_0_685,plain,
    lhs_atom51(X1,X2,X3),
    c_0_531,
    [final] ).

cnf(c_0_686,plain,
    lhs_atom47(X1,X2,X3),
    c_0_532,
    [final] ).

cnf(c_0_687,plain,
    lhs_atom45(X1,X2,X3),
    c_0_533,
    [final] ).

cnf(c_0_688,plain,
    lhs_atom44(X1,X2,X3),
    c_0_534,
    [final] ).

cnf(c_0_689,plain,
    lhs_atom43(X1,X2,X3),
    c_0_535,
    [final] ).

cnf(c_0_690,plain,
    lhs_atom40(X1,X2,X3),
    c_0_536,
    [final] ).

cnf(c_0_691,plain,
    lhs_atom38(X1,X2,X3),
    c_0_537,
    [final] ).

cnf(c_0_692,plain,
    lhs_atom37(X1,X2,X3),
    c_0_538,
    [final] ).

cnf(c_0_693,plain,
    lhs_atom25(X1,X2,X3),
    c_0_539,
    [final] ).

cnf(c_0_694,plain,
    lhs_atom24(X1,X2,X3),
    c_0_540,
    [final] ).

cnf(c_0_695,plain,
    lhs_atom22(X1,X2,X3),
    c_0_541,
    [final] ).

cnf(c_0_696,plain,
    lhs_atom18(X1,X2,X3),
    c_0_542,
    [final] ).

cnf(c_0_697,plain,
    lhs_atom17(X1,X2,X3),
    c_0_543,
    [final] ).

cnf(c_0_698,plain,
    lhs_atom16(X1,X2,X3),
    c_0_544,
    [final] ).

cnf(c_0_699,plain,
    lhs_atom7(X1,X2,X3),
    c_0_545,
    [final] ).

cnf(c_0_700,plain,
    lhs_atom5(X1,X2,X3),
    c_0_546,
    [final] ).

cnf(c_0_701,plain,
    lhs_atom4(X1,X2,X3),
    c_0_547,
    [final] ).

cnf(c_0_702,plain,
    lhs_atom3(X1,X2,X3),
    c_0_548,
    [final] ).

cnf(c_0_703,plain,
    lhs_atom1(X1,X2,X3),
    c_0_549,
    [final] ).

cnf(c_0_704,plain,
    lhs_atom154(X1,X2),
    c_0_550,
    [final] ).

cnf(c_0_705,plain,
    lhs_atom126(X1,X2),
    c_0_551,
    [final] ).

cnf(c_0_706,plain,
    lhs_atom120(X1,X2),
    c_0_552,
    [final] ).

cnf(c_0_707,plain,
    lhs_atom119(X1,X2),
    c_0_553,
    [final] ).

cnf(c_0_708,plain,
    lhs_atom118(X1,X2),
    c_0_554,
    [final] ).

cnf(c_0_709,plain,
    lhs_atom115(X1,X2),
    c_0_555,
    [final] ).

cnf(c_0_710,plain,
    lhs_atom114(X1,X2),
    c_0_556,
    [final] ).

cnf(c_0_711,plain,
    lhs_atom99(X1,X2),
    c_0_557,
    [final] ).

cnf(c_0_712,plain,
    lhs_atom95(X1,X2),
    c_0_558,
    [final] ).

cnf(c_0_713,plain,
    lhs_atom94(X1,X2),
    c_0_559,
    [final] ).

cnf(c_0_714,plain,
    lhs_atom91(X1,X2),
    c_0_560,
    [final] ).

cnf(c_0_715,plain,
    lhs_atom90(X1,X2),
    c_0_561,
    [final] ).

cnf(c_0_716,plain,
    lhs_atom82(X1,X2),
    c_0_562,
    [final] ).

cnf(c_0_717,plain,
    lhs_atom76(X1,X2),
    c_0_563,
    [final] ).

cnf(c_0_718,plain,
    lhs_atom68(X1,X2),
    c_0_564,
    [final] ).

cnf(c_0_719,plain,
    lhs_atom67(X1,X2),
    c_0_565,
    [final] ).

cnf(c_0_720,plain,
    lhs_atom66(X1,X2),
    c_0_566,
    [final] ).

cnf(c_0_721,plain,
    lhs_atom46(X1,X2),
    c_0_567,
    [final] ).

cnf(c_0_722,plain,
    lhs_atom42(X1,X2),
    c_0_568,
    [final] ).

cnf(c_0_723,plain,
    lhs_atom41(X1,X2),
    c_0_569,
    [final] ).

cnf(c_0_724,plain,
    lhs_atom36(X1,X2),
    c_0_570,
    [final] ).

cnf(c_0_725,plain,
    lhs_atom35(X1,X2),
    c_0_571,
    [final] ).

cnf(c_0_726,plain,
    lhs_atom31(X1,X2),
    c_0_572,
    [final] ).

cnf(c_0_727,plain,
    lhs_atom30(X1,X2),
    c_0_573,
    [final] ).

cnf(c_0_728,plain,
    lhs_atom27(X1,X2),
    c_0_574,
    [final] ).

cnf(c_0_729,plain,
    lhs_atom23(X1,X2),
    c_0_575,
    [final] ).

cnf(c_0_730,plain,
    lhs_atom14(X1,X2),
    c_0_576,
    [final] ).

cnf(c_0_731,plain,
    lhs_atom12(X1,X2),
    c_0_577,
    [final] ).

cnf(c_0_732,plain,
    lhs_atom11(X1,X2),
    c_0_578,
    [final] ).

cnf(c_0_733,plain,
    lhs_atom10(X1,X2),
    c_0_579,
    [final] ).

cnf(c_0_734,plain,
    lhs_atom137(X1),
    c_0_580,
    [final] ).

cnf(c_0_735,plain,
    lhs_atom132(X1),
    c_0_581,
    [final] ).

cnf(c_0_736,plain,
    lhs_atom129(X1),
    c_0_582,
    [final] ).

cnf(c_0_737,plain,
    lhs_atom125(X1),
    c_0_583,
    [final] ).

cnf(c_0_738,plain,
    lhs_atom122(X1),
    c_0_584,
    [final] ).

cnf(c_0_739,plain,
    lhs_atom113(X1),
    c_0_585,
    [final] ).

cnf(c_0_740,plain,
    lhs_atom102(X1),
    c_0_586,
    [final] ).

cnf(c_0_741,plain,
    lhs_atom93(X1),
    c_0_587,
    [final] ).

cnf(c_0_742,plain,
    lhs_atom77(X1),
    c_0_588,
    [final] ).

cnf(c_0_743,plain,
    lhs_atom75(X1),
    c_0_589,
    [final] ).

cnf(c_0_744,plain,
    lhs_atom74(X1),
    c_0_590,
    [final] ).

cnf(c_0_745,plain,
    lhs_atom65(X1),
    c_0_591,
    [final] ).

cnf(c_0_746,plain,
    lhs_atom60(X1),
    c_0_592,
    [final] ).

cnf(c_0_747,plain,
    lhs_atom59(X1),
    c_0_593,
    [final] ).

cnf(c_0_748,plain,
    lhs_atom29(X1),
    c_0_594,
    [final] ).

cnf(c_0_749,plain,
    lhs_atom13(X1),
    c_0_595,
    [final] ).

cnf(c_0_750,plain,
    lhs_atom8(X1),
    c_0_596,
    [final] ).

cnf(c_0_751,plain,
    lhs_atom6(X1),
    c_0_597,
    [final] ).

cnf(c_0_752,plain,
    lhs_atom153,
    c_0_598,
    [final] ).

cnf(c_0_753,plain,
    lhs_atom152,
    c_0_599,
    [final] ).

cnf(c_0_754,plain,
    lhs_atom151,
    c_0_600,
    [final] ).

cnf(c_0_755,plain,
    lhs_atom150,
    c_0_601,
    [final] ).

cnf(c_0_756,plain,
    lhs_atom149,
    c_0_602,
    [final] ).

cnf(c_0_757,plain,
    lhs_atom148,
    c_0_603,
    [final] ).

cnf(c_0_758,plain,
    lhs_atom147,
    c_0_604,
    [final] ).

cnf(c_0_759,plain,
    lhs_atom146,
    c_0_605,
    [final] ).

cnf(c_0_760,plain,
    lhs_atom145,
    c_0_606,
    [final] ).

cnf(c_0_761,plain,
    lhs_atom144,
    c_0_607,
    [final] ).

cnf(c_0_762,plain,
    lhs_atom143,
    c_0_608,
    [final] ).

cnf(c_0_763,plain,
    lhs_atom142,
    c_0_609,
    [final] ).

cnf(c_0_764,plain,
    lhs_atom141,
    c_0_610,
    [final] ).

cnf(c_0_765,plain,
    lhs_atom140,
    c_0_611,
    [final] ).

cnf(c_0_766,plain,
    lhs_atom127,
    c_0_612,
    [final] ).

cnf(c_0_767,plain,
    lhs_atom109,
    c_0_613,
    [final] ).

cnf(c_0_768,plain,
    lhs_atom101,
    c_0_614,
    [final] ).

cnf(c_0_769,plain,
    lhs_atom78,
    c_0_615,
    [final] ).

% End CNF derivation
cnf(c_0_616_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_616,def_lhs_atom134]) ).

cnf(c_0_617_0,axiom,
    c_List_Odrop(X2,c_List_Omap(X3,X1,X4,X5),X5) = c_List_Omap(X3,c_List_Odrop(X2,X1,X4),X4,X5),
    inference(unfold_definition,[status(thm)],[c_0_617,def_lhs_atom121]) ).

cnf(c_0_618_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_618,def_lhs_atom89]) ).

cnf(c_0_619_0,axiom,
    c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_OSays(X5,X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_619,def_lhs_atom87]) ).

cnf(c_0_620_0,axiom,
    c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OSays(X5,X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_620,def_lhs_atom86]) ).

cnf(c_0_621_0,axiom,
    c_Event_Oevent_OSays(X5,X4,X2) != c_Event_Oevent_ONotes(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_621,def_lhs_atom85]) ).

cnf(c_0_622_0,axiom,
    c_Event_Oevent_OSays(X5,X4,X2) != c_Event_Oevent_OGets(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_622,def_lhs_atom84]) ).

cnf(c_0_623_0,axiom,
    c_List_Omap(X3,c_List_Olist_OCons(X2,X1,X4),X4,X5) = c_List_Olist_OCons(hAPP(X3,X2),c_List_Omap(X3,X1,X4,X5),X5),
    inference(unfold_definition,[status(thm)],[c_0_623,def_lhs_atom50]) ).

cnf(c_0_624_0,axiom,
    c_List_Olist_OCons(hAPP(X3,X2),c_List_Omap(X3,X1,X4,X5),X5) = c_List_Omap(X3,c_List_Olist_OCons(X2,X1,X4),X4,X5),
    inference(unfold_definition,[status(thm)],[c_0_624,def_lhs_atom49]) ).

cnf(c_0_625_0,axiom,
    c_List_Omap(X3,c_List_Olist_OCons(X2,X1,X4),X4,X5) = c_List_Olist_OCons(hAPP(X3,X2),c_List_Omap(X3,X1,X4,X5),X5),
    inference(unfold_definition,[status(thm)],[c_0_625,def_lhs_atom48]) ).

cnf(c_0_626_0,axiom,
    c_List_Omap(X3,c_List_Oreplicate(X2,X1,X4),X4,X5) = c_List_Oreplicate(X2,hAPP(X3,X1),X5),
    inference(unfold_definition,[status(thm)],[c_0_626,def_lhs_atom39]) ).

cnf(c_0_627_0,axiom,
    c_List_Otake(X2,c_List_Omap(X3,X1,X4,X5),X5) = c_List_Omap(X3,c_List_Otake(X2,X1,X4),X4,X5),
    inference(unfold_definition,[status(thm)],[c_0_627,def_lhs_atom32]) ).

cnf(c_0_628_0,axiom,
    c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OMPair(X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_628,def_lhs_atom139]) ).

cnf(c_0_629_0,axiom,
    c_Message_Omsg_OMPair(X4,X3) != c_Message_Omsg_OCrypt(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_629,def_lhs_atom138]) ).

cnf(c_0_630_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_630,def_lhs_atom131]) ).

cnf(c_0_631_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_631,def_lhs_atom130]) ).

cnf(c_0_632_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_632,def_lhs_atom117]) ).

cnf(c_0_633_0,axiom,
    c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_OGets(X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_633,def_lhs_atom112]) ).

cnf(c_0_634_0,axiom,
    c_Event_Oevent_OGets(X4,X2) != c_Event_Oevent_ONotes(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_634,def_lhs_atom97]) ).

cnf(c_0_635_0,axiom,
    c_Set_Oinsert(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(c_Message_Omsg_OKey(X3),X4,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_635,def_lhs_atom92]) ).

cnf(c_0_636_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_636,def_lhs_atom88]) ).

cnf(c_0_637_0,axiom,
    c_Set_Oinsert(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(c_Message_Omsg_OKey(X3),X4,tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_637,def_lhs_atom64]) ).

cnf(c_0_638_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_638,def_lhs_atom34]) ).

cnf(c_0_639_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_639,def_lhs_atom33]) ).

cnf(c_0_640_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_640,def_lhs_atom28]) ).

cnf(c_0_641_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_641,def_lhs_atom26]) ).

cnf(c_0_642_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_642,def_lhs_atom21]) ).

cnf(c_0_643_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_643,def_lhs_atom20]) ).

cnf(c_0_644_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_644,def_lhs_atom19]) ).

cnf(c_0_645_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_645,def_lhs_atom15]) ).

cnf(c_0_646_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(X2,X4)) != c_Public_OpublicKey(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_646,def_lhs_atom9]) ).

cnf(c_0_647_0,axiom,
    c_Public_OpublicKey(X1,X3) != c_Message_OinvKey(c_Public_OpublicKey(X2,X4)),
    inference(unfold_definition,[status(thm)],[c_0_647,def_lhs_atom2]) ).

cnf(c_0_648_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_648,def_lhs_atom136]) ).

cnf(c_0_649_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_649,def_lhs_atom135]) ).

cnf(c_0_650_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_650,def_lhs_atom133]) ).

cnf(c_0_651_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X2,X3)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_651,def_lhs_atom128]) ).

cnf(c_0_652_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_652,def_lhs_atom124]) ).

cnf(c_0_653_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_653,def_lhs_atom123]) ).

cnf(c_0_654_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_654,def_lhs_atom116]) ).

cnf(c_0_655_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_655,def_lhs_atom111]) ).

cnf(c_0_656_0,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    inference(unfold_definition,[status(thm)],[c_0_656,def_lhs_atom110]) ).

cnf(c_0_657_0,axiom,
    c_lessequals(c_List_Oset(c_List_Osublist(X1,X2,X3),X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_657,def_lhs_atom108]) ).

cnf(c_0_658_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_658,def_lhs_atom107]) ).

cnf(c_0_659_0,axiom,
    c_lessequals(c_List_Oset(c_List_Odrop(X2,X1,X3),X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_659,def_lhs_atom106]) ).

cnf(c_0_660_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X2,X3)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_660,def_lhs_atom105]) ).

cnf(c_0_661_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_661,def_lhs_atom104]) ).

cnf(c_0_662_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_662,def_lhs_atom103]) ).

cnf(c_0_663_0,axiom,
    c_List_OremoveAll(X2,c_List_Olist_OCons(X2,X1,X3),X3) = c_List_OremoveAll(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_663,def_lhs_atom100]) ).

cnf(c_0_664_0,axiom,
    c_List_Omember(X2,c_List_Olist_OCons(X2,X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_664,def_lhs_atom98]) ).

cnf(c_0_665_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_665,def_lhs_atom96]) ).

cnf(c_0_666_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_666,def_lhs_atom83]) ).

cnf(c_0_667_0,axiom,
    c_in(c_Message_Omsg_OKey(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_667,def_lhs_atom81]) ).

cnf(c_0_668_0,axiom,
    c_Message_Omsg_OKey(X2) != c_Message_Omsg_OCrypt(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_668,def_lhs_atom80]) ).

cnf(c_0_669_0,axiom,
    c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OKey(X2),
    inference(unfold_definition,[status(thm)],[c_0_669,def_lhs_atom79]) ).

cnf(c_0_670_0,axiom,
    c_Message_Omsg_OMPair(X3,X2) != c_Message_Omsg_OKey(X1),
    inference(unfold_definition,[status(thm)],[c_0_670,def_lhs_atom73]) ).

cnf(c_0_671_0,axiom,
    c_Message_Omsg_OKey(X1) != c_Message_Omsg_OMPair(X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_671,def_lhs_atom72]) ).

cnf(c_0_672_0,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_672,def_lhs_atom71]) ).

cnf(c_0_673_0,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_673,def_lhs_atom70]) ).

cnf(c_0_674_0,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_674,def_lhs_atom69]) ).

cnf(c_0_675_0,axiom,
    X1 != c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_675,def_lhs_atom63]) ).

cnf(c_0_676_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(unfold_definition,[status(thm)],[c_0_676,def_lhs_atom62]) ).

cnf(c_0_677_0,axiom,
    c_lessequals(c_List_Oset(c_List_Oremove1(X2,X1,X3),X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_677,def_lhs_atom61]) ).

cnf(c_0_678_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_678,def_lhs_atom58]) ).

cnf(c_0_679_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_679,def_lhs_atom57]) ).

cnf(c_0_680_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_680,def_lhs_atom56]) ).

cnf(c_0_681_0,axiom,
    c_List_Obutlast(c_List_Odrop(X2,X1,X3),X3) = c_List_Odrop(X2,c_List_Obutlast(X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_681,def_lhs_atom55]) ).

cnf(c_0_682_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_682,def_lhs_atom54]) ).

cnf(c_0_683_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X3)),c_Event_OinitState(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_683,def_lhs_atom53]) ).

cnf(c_0_684_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_684,def_lhs_atom52]) ).

cnf(c_0_685_0,axiom,
    c_List_Oremove1(X2,c_List_Olist_OCons(X2,X1,X3),X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_685,def_lhs_atom51]) ).

cnf(c_0_686_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_686,def_lhs_atom47]) ).

cnf(c_0_687_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_687,def_lhs_atom45]) ).

cnf(c_0_688_0,axiom,
    c_lessequals(X2,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_688,def_lhs_atom44]) ).

cnf(c_0_689_0,axiom,
    c_List_OListMem(X2,c_List_Olist_OCons(X2,X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_689,def_lhs_atom43]) ).

cnf(c_0_690_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_690,def_lhs_atom40]) ).

cnf(c_0_691_0,axiom,
    c_lessequals(c_List_Oset(c_List_Otake(X2,X1,X3),X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_691,def_lhs_atom38]) ).

cnf(c_0_692_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_692,def_lhs_atom37]) ).

cnf(c_0_693_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_693,def_lhs_atom25]) ).

cnf(c_0_694_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_694,def_lhs_atom24]) ).

cnf(c_0_695_0,axiom,
    c_List_Odrop(X2,c_List_Obutlast(X1,X3),X3) = c_List_Obutlast(c_List_Odrop(X2,X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_695,def_lhs_atom22]) ).

cnf(c_0_696_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_696,def_lhs_atom18]) ).

cnf(c_0_697_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_697,def_lhs_atom17]) ).

cnf(c_0_698_0,axiom,
    c_lessequals(c_List_Oset(c_List_Ofilter(X2,X1,X3),X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_698,def_lhs_atom16]) ).

cnf(c_0_699_0,axiom,
    c_Public_OpublicKey(X1,X2) != c_Public_OshrK(X3),
    inference(unfold_definition,[status(thm)],[c_0_699,def_lhs_atom7]) ).

cnf(c_0_700_0,axiom,
    c_Public_OshrK(X3) != c_Public_OpublicKey(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_700,def_lhs_atom5]) ).

cnf(c_0_701_0,axiom,
    c_Public_OshrK(X3) != c_Message_OinvKey(c_Public_OpublicKey(X1,X2)),
    inference(unfold_definition,[status(thm)],[c_0_701,def_lhs_atom4]) ).

cnf(c_0_702_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(X1,X2)) != c_Public_OshrK(X3),
    inference(unfold_definition,[status(thm)],[c_0_702,def_lhs_atom3]) ).

cnf(c_0_703_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X2,X3))),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_703,def_lhs_atom1]) ).

cnf(c_0_704_0,axiom,
    c_fequal(X1,X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_704,def_lhs_atom154]) ).

cnf(c_0_705_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_705,def_lhs_atom126]) ).

cnf(c_0_706_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OKey(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_706,def_lhs_atom120]) ).

cnf(c_0_707_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_707,def_lhs_atom119]) ).

cnf(c_0_708_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_708,def_lhs_atom118]) ).

cnf(c_0_709_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_709,def_lhs_atom115]) ).

cnf(c_0_710_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_710,def_lhs_atom114]) ).

cnf(c_0_711_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_711,def_lhs_atom99]) ).

cnf(c_0_712_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1)),
    inference(unfold_definition,[status(thm)],[c_0_712,def_lhs_atom95]) ).

cnf(c_0_713_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_713,def_lhs_atom94]) ).

cnf(c_0_714_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_714,def_lhs_atom91]) ).

cnf(c_0_715_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_715,def_lhs_atom90]) ).

cnf(c_0_716_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_716,def_lhs_atom82]) ).

cnf(c_0_717_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_717,def_lhs_atom76]) ).

cnf(c_0_718_0,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_718,def_lhs_atom68]) ).

cnf(c_0_719_0,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_719,def_lhs_atom67]) ).

cnf(c_0_720_0,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_720,def_lhs_atom66]) ).

cnf(c_0_721_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_721,def_lhs_atom46]) ).

cnf(c_0_722_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_722,def_lhs_atom42]) ).

cnf(c_0_723_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_723,def_lhs_atom41]) ).

cnf(c_0_724_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_724,def_lhs_atom36]) ).

cnf(c_0_725_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_725,def_lhs_atom35]) ).

cnf(c_0_726_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_726,def_lhs_atom31]) ).

cnf(c_0_727_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_727,def_lhs_atom30]) ).

cnf(c_0_728_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_728,def_lhs_atom27]) ).

cnf(c_0_729_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_729,def_lhs_atom23]) ).

cnf(c_0_730_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_OinitState(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_730,def_lhs_atom14]) ).

cnf(c_0_731_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_731,def_lhs_atom12]) ).

cnf(c_0_732_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_732,def_lhs_atom11]) ).

cnf(c_0_733_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Event_Oknows(X2,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_733,def_lhs_atom10]) ).

cnf(c_0_734_0,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    inference(unfold_definition,[status(thm)],[c_0_734,def_lhs_atom137]) ).

cnf(c_0_735_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_735,def_lhs_atom132]) ).

cnf(c_0_736_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_736,def_lhs_atom129]) ).

cnf(c_0_737_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_737,def_lhs_atom125]) ).

cnf(c_0_738_0,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    inference(unfold_definition,[status(thm)],[c_0_738,def_lhs_atom122]) ).

cnf(c_0_739_0,axiom,
    c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_739,def_lhs_atom113]) ).

cnf(c_0_740_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_740,def_lhs_atom102]) ).

cnf(c_0_741_0,axiom,
    c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_741,def_lhs_atom93]) ).

cnf(c_0_742_0,axiom,
    c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_742,def_lhs_atom77]) ).

cnf(c_0_743_0,axiom,
    c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    inference(unfold_definition,[status(thm)],[c_0_743,def_lhs_atom75]) ).

cnf(c_0_744_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    inference(unfold_definition,[status(thm)],[c_0_744,def_lhs_atom74]) ).

cnf(c_0_745_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_745,def_lhs_atom65]) ).

cnf(c_0_746_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_746,def_lhs_atom60]) ).

cnf(c_0_747_0,axiom,
    c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
    inference(unfold_definition,[status(thm)],[c_0_747,def_lhs_atom59]) ).

cnf(c_0_748_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_748,def_lhs_atom29]) ).

cnf(c_0_749_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_OinitState(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_749,def_lhs_atom13]) ).

cnf(c_0_750_0,axiom,
    c_Message_OinvKey(c_Public_OshrK(X1)) = c_Public_OshrK(X1),
    inference(unfold_definition,[status(thm)],[c_0_750,def_lhs_atom8]) ).

cnf(c_0_751_0,axiom,
    c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_751,def_lhs_atom6]) ).

cnf(c_0_752_0,axiom,
    class_HOL_Oord(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_752,def_lhs_atom153]) ).

cnf(c_0_753_0,axiom,
    class_Orderings_Obot(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_753,def_lhs_atom152]) ).

cnf(c_0_754_0,axiom,
    class_Orderings_Oorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_754,def_lhs_atom151]) ).

cnf(c_0_755_0,axiom,
    class_Lattices_Olattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_755,def_lhs_atom150]) ).

cnf(c_0_756_0,axiom,
    class_Orderings_Opreorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_756,def_lhs_atom149]) ).

cnf(c_0_757_0,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_757,def_lhs_atom148]) ).

cnf(c_0_758_0,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_758,def_lhs_atom147]) ).

cnf(c_0_759_0,axiom,
    class_HOL_Oord(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_759,def_lhs_atom146]) ).

cnf(c_0_760_0,axiom,
    class_Orderings_Obot(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_760,def_lhs_atom145]) ).

cnf(c_0_761_0,axiom,
    class_Orderings_Oorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_761,def_lhs_atom144]) ).

cnf(c_0_762_0,axiom,
    class_Lattices_Olattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_762,def_lhs_atom143]) ).

cnf(c_0_763_0,axiom,
    class_Orderings_Olinorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_763,def_lhs_atom142]) ).

cnf(c_0_764_0,axiom,
    class_Orderings_Opreorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_764,def_lhs_atom141]) ).

cnf(c_0_765_0,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_765,def_lhs_atom140]) ).

cnf(c_0_766_0,axiom,
    c_HOL_Ominus__class_Ominus(v_A,v_B,tc_bool) = c_and(v_A,c_Not(v_B)),
    inference(unfold_definition,[status(thm)],[c_0_766,def_lhs_atom127]) ).

cnf(c_0_767_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_767,def_lhs_atom109]) ).

cnf(c_0_768_0,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    inference(unfold_definition,[status(thm)],[c_0_768,def_lhs_atom101]) ).

cnf(c_0_769_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_769,def_lhs_atom78]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X30,X28,X14,X31,X32,X3] :
      ( c_Map_Omap__upds(X31,X28,X30,X14,X3,X32) = hAPP(X31,X14)
      | c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_map__upds__apply__nontin_0) ).

fof(c_0_1_002,axiom,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X20,X19,X2,X18),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_OIssues(X20,X19,X2,X18) ),
    file('<stdin>',cls_Issues__def_1) ).

fof(c_0_2_003,axiom,
    ! [X18,X2,X19,X20] :
      ( c_in(c_Event_Oevent_OSays(X20,X19,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X20,X19,X2,X18)),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_NS__Shared__Mirabelle_OIssues(X20,X19,X2,X18) ),
    file('<stdin>',cls_Issues__def_0) ).

fof(c_0_3_004,axiom,
    ! [X18,X25,X2,X19,X20] :
      ( ~ c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X20,X19,X2),X18,tc_Event_Oevent))),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__mono__contra_I1_J_0) ).

fof(c_0_4_005,axiom,
    ! [X2,X16,X26] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X26)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X26,X16,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(X26)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__analz__insert_0) ).

fof(c_0_5_006,axiom,
    ! [X2,X17,X16] :
      ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_lemma2_0) ).

fof(c_0_6_007,axiom,
    ! [X2,X17,X16] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_lemma1_0) ).

fof(c_0_7_008,axiom,
    ! [X25,X2,X16] :
      ( c_in(X25,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X16)),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(X25,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_8_009,axiom,
    ! [X41,X16,X42,X26] :
      ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X26,X16,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X42,X41,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X16),c_Message_Oanalz(X41),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X26),c_Message_Oanalz(X42),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_analz__subset__cong_0) ).

fof(c_0_9_010,axiom,
    ! [X28,X14,X39,X31,X32,X3] :
      ( c_List_Omap(X31,X28,X32,X3) != c_List_Omap(X39,X28,X32,X3)
      | hAPP(X31,X14) = hAPP(X39,X14)
      | ~ c_in(X14,c_List_Oset(X28,X32),X32) ),
    file('<stdin>',cls_map__eq__conv_0) ).

fof(c_0_10_011,axiom,
    ! [X18,X25,X2,X20] :
      ( ~ c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X20,X2),X18,tc_Event_Oevent))),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__mono__contra_I2_J_0) ).

fof(c_0_11_012,axiom,
    ! [X18,X25,X2,X20] :
      ( ~ c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X20,X2),X18,tc_Event_Oevent))),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__mono__contra_I3_J_0) ).

fof(c_0_12_013,axiom,
    ! [X1,X2,X16,X26] :
      ( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X26,X16,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X26,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__cut_0) ).

fof(c_0_13_014,axiom,
    ! [X52,X25,X38,X27,X3] :
      ( c_Set_Oinsert(X27,c_Set_Oinsert(X38,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X25,c_Set_Oinsert(X52,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X27 = X52
      | X27 = X25 ),
    file('<stdin>',cls_doubleton__eq__iff_0) ).

fof(c_0_14_015,axiom,
    ! [X52,X25,X38,X27,X3] :
      ( c_Set_Oinsert(X27,c_Set_Oinsert(X38,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X25,c_Set_Oinsert(X52,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X38 = X25
      | X27 = X25 ),
    file('<stdin>',cls_doubleton__eq__iff_1) ).

fof(c_0_15_016,axiom,
    ! [X52,X25,X38,X27,X3] :
      ( c_Set_Oinsert(X27,c_Set_Oinsert(X38,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X25,c_Set_Oinsert(X52,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X27 = X52
      | X38 = X52 ),
    file('<stdin>',cls_doubleton__eq__iff_2) ).

fof(c_0_16_017,axiom,
    ! [X52,X25,X38,X27,X3] :
      ( c_Set_Oinsert(X27,c_Set_Oinsert(X38,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X25,c_Set_Oinsert(X52,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X38 = X25
      | X38 = X52 ),
    file('<stdin>',cls_doubleton__eq__iff_3) ).

fof(c_0_17_018,axiom,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Event_OinitState(X20),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OGets(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(X20,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X20,X2,X18),X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | X20 = c_Message_Oagent_OSpy
      | ~ c_in(X2,c_Event_Oknows(X20,X18),tc_Message_Omsg) ),
    file('<stdin>',cls_knows__imp__Says__Gets__Notes__initState_0) ).

fof(c_0_18_019,axiom,
    ! [X40,X2,X16] :
      ( c_in(X40,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X16)),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(X40,c_Message_Oparts(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__parts__insert__in__Un_0) ).

fof(c_0_19_020,axiom,
    ! [X2,X16] :
      ( 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(X16)),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__parts__sing_0) ).

fof(c_0_20_021,axiom,
    ! [X2,X17,X16,X26] :
      ( c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(X26),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(c_Set_Oinsert(X2,X26,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_lessequals(X16,X26,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_synth__analz__insert__eq_0) ).

fof(c_0_21_022,axiom,
    ! [X30,X28,X35,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X30))
      | ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__iff__1__1(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X35))
      | ~ c_in(X35,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__first__prop__iff_2) ).

fof(c_0_22_023,axiom,
    ! [X30,X28,X14,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X30))
      | ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__1__1(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__first__prop_2) ).

fof(c_0_23_024,axiom,
    ! [X30,X28,X35,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X30))
      | ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__iff__1__3(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X35))
      | ~ c_in(X35,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__last__prop__iff_2) ).

fof(c_0_24_025,axiom,
    ! [X28,X36,X14,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X36))
      | ~ c_in(X36,c_List_Oset(c_List_Osko__List__Xsplit__list__last__propE__1__3(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__last__propE_2) ).

fof(c_0_25_026,axiom,
    ! [X30,X28,X14,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X30))
      | ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__1__3(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__last__prop_2) ).

fof(c_0_26_027,axiom,
    ! [X28,X36,X14,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X36))
      | ~ c_in(X36,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__first__propE_2) ).

fof(c_0_27_028,axiom,
    ! [X25,X16,X26] :
      ( c_in(X25,c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(X25,c_Message_Oparts(X26),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X26,X16,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    file('<stdin>',cls_in__parts__UnE_0) ).

fof(c_0_28_029,axiom,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(X16,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__singleton_1) ).

fof(c_0_29_030,axiom,
    ! [X43,X44,X19,X20,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X44,X43,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X19,X43,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X44,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__mono_0) ).

fof(c_0_30_031,axiom,
    ! [X18,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,X18),X2),c_List_Oset(X18,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,X18),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X2,X18),X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg) ),
    file('<stdin>',cls_knows__Spy__imp__Says__Notes__initState_0) ).

fof(c_0_31_032,axiom,
    ! [X2,X17,X16,X26] :
      ( c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(c_Set_Oinsert(X2,X26,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(X26),tc_Message_Omsg)
      | ~ c_lessequals(X16,X26,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_synth__analz__insert__eq_1) ).

fof(c_0_32_033,axiom,
    ! [X2,X16] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X16)),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__parts__insert_0) ).

fof(c_0_33_034,axiom,
    ! [X28,X14,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Osko__List__Xsplit__list__first__1__1(X14,X28,X3),X3),X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__first_1) ).

fof(c_0_34_035,axiom,
    ! [X28,X14,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__first__1__1(X14,X28,X3),X3),X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_in__set__conv__decomp__first_1) ).

fof(c_0_35_036,axiom,
    ! [X28,X14,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__last__1__2(X14,X28,X3),X3),X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_in__set__conv__decomp__last_1) ).

fof(c_0_36_037,axiom,
    ! [X28,X14,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Osko__List__Xsplit__list__last__1__2(X14,X28,X3),X3),X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__last_1) ).

fof(c_0_37_038,axiom,
    ! [X14,X20,X3] :
      ( X20 = c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X20 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,c_Set_Oinsert(X14,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_38_039,axiom,
    ! [X14,X19,X20,X3] :
      ( hBOOL(hAPP(X19,X14))
      | hBOOL(hAPP(X20,X14))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X14)) ),
    file('<stdin>',cls_sup1E_0) ).

fof(c_0_39_040,axiom,
    ! [X58,X2,X19] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X19,X2),X58,tc_Event_Oevent))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X58))),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X58) ),
    file('<stdin>',cls_ns__sharedp_OFake_0) ).

fof(c_0_40_041,axiom,
    ! [X2,X17,X16] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__Crypt__if_0) ).

fof(c_0_41_042,axiom,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_synth__cut_0) ).

fof(c_0_42_043,axiom,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__cut_0) ).

fof(c_0_43_044,axiom,
    ! [X18,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(X18),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Event_Oused(X18),tc_Message_Omsg) ),
    file('<stdin>',cls_used__parts__subset__parts_0) ).

fof(c_0_44_045,axiom,
    ! [X27,X16] :
      ( c_in(c_Message_Omsg_OCrypt(v_sko__Message__Xparts__Xcases__3(X16,X27),X27),c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(v_sko__Message__Xparts__Xcases__2(X16,X27),X27),c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X27,v_sko__Message__Xparts__Xcases__1(X16,X27)),c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(X27,X16,tc_Message_Omsg)
      | ~ c_in(X27,c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_parts_Ocases_0) ).

fof(c_0_45_046,axiom,
    ! [X28,X38,X27,X3] :
      ( c_in(X27,c_List_Oset(X28,X3),X3)
      | ~ c_in(X27,c_List_Oset(c_List_Oremove1(X38,X28,X3),X3),X3)
      | X27 = X38 ),
    file('<stdin>',cls_in__set__remove1_0) ).

fof(c_0_46_047,axiom,
    ! [X34,X28,X14,X3] :
      ( c_in(X34,c_List_Oset(X28,X3),X3)
      | X34 = X14
      | ~ c_in(X34,c_List_Oset(c_List_Olist_OCons(X14,X28,X3),X3),X3) ),
    file('<stdin>',cls_set__ConsD_0) ).

fof(c_0_47_048,axiom,
    ! [X34,X28,X14,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Oremove1(X34,X28,X3),X3),X3)
      | c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_notin__set__remove1_0) ).

fof(c_0_48_049,axiom,
    ! [X28,X14,X37,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Osublist(X28,X37,X3),X3),X3)
      | c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_notin__set__sublistI_0) ).

fof(c_0_49_050,axiom,
    ! [X28,X14,X37,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_in(X14,c_List_Oset(c_List_Osublist(X28,X37,X3),X3),X3) ),
    file('<stdin>',cls_in__set__sublistD_0) ).

fof(c_0_50_051,axiom,
    ! [X28,X14,X33,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_in(X14,c_List_Oset(c_List_Otake(X33,X28,X3),X3),X3) ),
    file('<stdin>',cls_in__set__takeD_0) ).

fof(c_0_51_052,axiom,
    ! [X28,X14,X33,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_in(X14,c_List_Oset(c_List_Odrop(X33,X28,X3),X3),X3) ),
    file('<stdin>',cls_in__set__dropD_0) ).

fof(c_0_52_053,axiom,
    ! [X28,X14,X29,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_in(X14,c_List_Oset(c_List_OtakeWhile(X29,X28,X3),X3),X3) ),
    file('<stdin>',cls_set__takeWhileD_0) ).

fof(c_0_53_054,axiom,
    ! [X2,X16,X26] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X26),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,X26,tc_Message_Omsg) ),
    file('<stdin>',cls_parts__insert__subset__Un_0) ).

fof(c_0_54_055,axiom,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(c_List_OtakeWhile(X29,X28,X3),X3),X3) ),
    file('<stdin>',cls_set__takeWhileD_1) ).

fof(c_0_55_056,axiom,
    ! [X44,X19,X20,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X19,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X44,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__least_0) ).

fof(c_0_56_057,axiom,
    ! [X44,X19,X20,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X19,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X44,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_2) ).

fof(c_0_57_058,axiom,
    ! [X34,X14,X33,X3] :
      ( X14 = X34
      | ~ c_in(X14,c_List_Oset(c_List_Oreplicate(X33,X34,X3),X3),X3) ),
    file('<stdin>',cls_in__set__replicateD_0) ).

fof(c_0_58_059,axiom,
    ! [X2,X17,X16] :
      ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth__analz_0) ).

fof(c_0_59_060,axiom,
    ! [X25,X26,X20] :
      ( c_in(X25,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X20,X26,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oanalz(X26),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__image__freshK__simps_I61_J_0) ).

fof(c_0_60_061,axiom,
    ! [X44,X19,X20,X3] :
      ( c_lessequals(X20,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X44,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_0) ).

fof(c_0_61_062,axiom,
    ! [X44,X19,X20,X3] :
      ( c_lessequals(X19,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X44,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_1) ).

fof(c_0_62_063,axiom,
    ! [X25,X19,X20,X3] :
      ( c_in(X25,X19,X3)
      | c_in(X25,X20,X3)
      | ~ c_in(X25,c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_UnE_0) ).

fof(c_0_63_064,axiom,
    ! [X2,X17,X16] :
      ( c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth__analz_1) ).

fof(c_0_64_065,axiom,
    ! [X28,X38,X27,X3] :
      ( c_in(X27,c_List_Oset(c_List_Oremove1(X38,X28,X3),X3),X3)
      | ~ c_in(X27,c_List_Oset(X28,X3),X3)
      | X27 = X38 ),
    file('<stdin>',cls_in__set__remove1_1) ).

fof(c_0_65_066,axiom,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | c_in(X14,X20,X3)
      | ~ c_lessequals(X20,c_Set_Oinsert(X14,X19,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_1) ).

fof(c_0_66_067,axiom,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,c_Set_Oinsert(X14,X19,X3),tc_fun(X3,tc_bool))
      | c_in(X14,X20,X3) ),
    file('<stdin>',cls_subset__insert_0) ).

fof(c_0_67_068,axiom,
    ! [X38,X27,X3] :
      ( X38 = X27
      | ~ c_in(X38,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('<stdin>',cls_singletonE_0) ).

fof(c_0_68_069,axiom,
    ! [X28,X35,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__last__prop__iff__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X35))
      | ~ c_in(X35,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__last__prop__iff_1) ).

fof(c_0_69_070,axiom,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__first__prop__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__first__prop_1) ).

fof(c_0_70_071,axiom,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__last__propE__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__last__propE_1) ).

fof(c_0_71_072,axiom,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__first__propE__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__first__propE_1) ).

fof(c_0_72_073,axiom,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__propE__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__propE_1) ).

fof(c_0_73_074,axiom,
    ! [X28,X35,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__first__prop__iff__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X35))
      | ~ c_in(X35,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__first__prop__iff_1) ).

fof(c_0_74_075,axiom,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__last__prop__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__last__prop_1) ).

fof(c_0_75_076,axiom,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__prop__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_split__list__prop_1) ).

fof(c_0_76_077,axiom,
    ! [X34,X14,X20,X3] :
      ( hBOOL(hAPP(X20,X14))
      | X34 = X14
      | ~ hBOOL(hAPP(c_Set_Oinsert(X34,X20,X3),X14)) ),
    file('<stdin>',cls_insert__code_0) ).

fof(c_0_77_078,axiom,
    ! [X27,X43,X44,X3] :
      ( c_lessequals(c_Set_Oinsert(X27,X44,X3),c_Set_Oinsert(X27,X43,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X44,X43,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__mono_0) ).

fof(c_0_78_079,axiom,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | ~ c_in(X20,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X20),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__Spy__analz__bad_0) ).

fof(c_0_79_080,axiom,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(c_Set_Oinsert(X14,X20,X3),X19,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | ~ c_in(X14,X19,X3) ),
    file('<stdin>',cls_insert__subset_2) ).

fof(c_0_80_081,axiom,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X19,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__imp__analz__Spy_0) ).

fof(c_0_81_082,axiom,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X19,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__imp__parts__knows__Spy_0) ).

fof(c_0_82_083,axiom,
    ! [X14,X19,X20,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X14))
      | ~ hBOOL(hAPP(X19,X14)) ),
    file('<stdin>',cls_sup1CI_0) ).

fof(c_0_83_084,axiom,
    ! [X14,X19,X20,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X14))
      | ~ hBOOL(hAPP(X20,X14)) ),
    file('<stdin>',cls_sup1CI_1) ).

fof(c_0_84_085,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Ofilter(X29,c_List_Olist_OCons(X14,X28,X3),X3) = c_List_Olist_OCons(X14,c_List_Ofilter(X29,X28,X3),X3)
      | ~ hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_filter_Osimps_I2_J_0) ).

fof(c_0_85_086,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_OtakeWhile(X29,c_List_Olist_OCons(X14,X28,X3),X3) = c_List_Olist_OCons(X14,c_List_OtakeWhile(X29,X28,X3),X3)
      | ~ hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_takeWhile_Osimps_I2_J_0) ).

fof(c_0_86_087,axiom,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X14,X20,X3),X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__subset_1) ).

fof(c_0_87_088,axiom,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Event_Oknows(X20,X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X19,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__imp__knows_0) ).

fof(c_0_88_089,axiom,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X19,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__imp__spies_0) ).

fof(c_0_89_090,axiom,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(X20,c_Set_Oinsert(X14,X19,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | c_in(X14,X20,X3) ),
    file('<stdin>',cls_subset__insert__iff_2) ).

fof(c_0_90_091,axiom,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(X20,c_Set_Oinsert(X14,X19,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | c_in(X14,X20,X3) ),
    file('<stdin>',cls_subset__insert_1) ).

fof(c_0_91_092,axiom,
    ! [X25,X27,X26] :
      ( c_in(X25,c_Message_Oanalz(c_Set_Oinsert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oanalz(X26),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__insertI_0) ).

fof(c_0_92_093,axiom,
    ! [X25,X27,X26] :
      ( c_in(X25,c_Message_Oparts(c_Set_Oinsert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oparts(X26),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__insertI_0) ).

fof(c_0_93_094,axiom,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Event_Oused(X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X19,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Says__imp__used_0) ).

fof(c_0_94_095,axiom,
    ! [X14,X19,X20,X3] :
      ( c_in(X14,X19,X3)
      | ~ c_lessequals(c_Set_Oinsert(X14,X20,X3),X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__subset_0) ).

fof(c_0_95_096,axiom,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X51,X3)
      | ~ c_lessequals(X34,X51,X3)
      | ~ c_lessequals(X14,X51,X3) ),
    file('<stdin>',cls_le__sup__iff_2) ).

fof(c_0_96_097,axiom,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X34,X51,X3),X14,X3)
      | ~ c_lessequals(X51,X14,X3)
      | ~ c_lessequals(X34,X14,X3) ),
    file('<stdin>',cls_sup__least_0) ).

fof(c_0_97_098,axiom,
    ! [X14,X38,X27,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X38,X3),X14,X3)
      | ~ c_lessequals(X38,X14,X3)
      | ~ c_lessequals(X27,X14,X3) ),
    file('<stdin>',cls_le__supI_0) ).

fof(c_0_98_099,axiom,
    ! [X2,X16] :
      ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X16))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_Fake__analz__eq_0) ).

fof(c_0_99_100,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__ex(X29,X28,X3)
      | hBOOL(hAPP(X29,X14))
      | ~ c_List_Olist__ex(X29,c_List_Olist_OCons(X14,X28,X3),X3) ),
    file('<stdin>',cls_list__ex_Osimps_I2_J_0) ).

fof(c_0_100_101,axiom,
    ! [X38,X27,X3] :
      ( c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X38,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X27 = X38 ),
    file('<stdin>',cls_singleton__inject_0) ).

fof(c_0_101_102,axiom,
    ! [X2,X16,X20] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X20)),c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X20),X2),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__shrK__Decrypt_0) ).

fof(c_0_102_103,axiom,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X51,X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X34,X51,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I6_J_0) ).

fof(c_0_103_104,axiom,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X34,X51,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X34,c_Lattices_Oupper__semilattice__class_Osup(X14,X51,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I7_J_0) ).

fof(c_0_104_105,axiom,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X34,X51,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X34,c_Lattices_Oupper__semilattice__class_Osup(X14,X51,X3),X3) ),
    file('<stdin>',cls_sup__left__commute_0) ).

fof(c_0_105_106,axiom,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X51,X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X34,X51,X3),X3) ),
    file('<stdin>',cls_sup__assoc_0) ).

fof(c_0_106_107,axiom,
    ! [X41,X16,X42,X26] :
      ( c_Message_Oanalz(X16) != c_Message_Oanalz(X41)
      | c_Message_Oanalz(X26) != c_Message_Oanalz(X42)
      | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X26,X16,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X42,X41,tc_fun(tc_Message_Omsg,tc_bool))) ),
    file('<stdin>',cls_analz__cong_0) ).

fof(c_0_107_108,axiom,
    ! [X18,X2,X20] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X20,X2),X18,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg)
      | ~ c_in(X20,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_knows__Spy__Notes_0) ).

fof(c_0_108_109,axiom,
    ! [X34,X28,X14,X3] :
      ( c_List_OremoveAll(X14,c_List_Olist_OCons(X34,X28,X3),X3) = c_List_Olist_OCons(X34,c_List_OremoveAll(X14,X28,X3),X3)
      | X14 = X34 ),
    file('<stdin>',cls_removeAll_Osimps_I2_J_1) ).

fof(c_0_109_110,axiom,
    ! [X34,X28,X14,X3] :
      ( c_List_Oremove1(X14,c_List_Olist_OCons(X34,X28,X3),X3) = c_List_Olist_OCons(X34,c_List_Oremove1(X14,X28,X3),X3)
      | X14 = X34 ),
    file('<stdin>',cls_remove1_Osimps_I2_J_1) ).

fof(c_0_110_111,axiom,
    ! [X2,X16,X26] :
      ( c_Message_Oanalz(c_Set_Oinsert(X2,X26,tc_Message_Omsg)) = c_Message_Oanalz(X26)
      | ~ c_lessequals(X16,X26,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_gen__analz__insert__eq_0) ).

fof(c_0_111_112,axiom,
    ! [X1,X2,X16] :
      ( c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__synth__analz_2) ).

fof(c_0_112_113,axiom,
    ! [X2,X17,X16] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oanalz(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__Crypt__if_1) ).

fof(c_0_113_114,axiom,
    ! [X44,X19,X20,X3] :
      ( c_lessequals(X20,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X19,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__trans_0) ).

fof(c_0_114_115,axiom,
    ! [X45,X34,X46,X14,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X14,X34,X3) != c_HOL_Ominus__class_Ominus(X46,X45,X3)
      | c_lessequals(X45,X46,X3)
      | ~ c_lessequals(X34,X14,X3) ),
    file('<stdin>',cls_le__eqI_0) ).

fof(c_0_115_116,axiom,
    ! [X45,X34,X46,X14,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X14,X34,X3) != c_HOL_Ominus__class_Ominus(X46,X45,X3)
      | c_lessequals(X34,X14,X3)
      | ~ c_lessequals(X45,X46,X3) ),
    file('<stdin>',cls_le__eqI_1) ).

fof(c_0_116_117,axiom,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg)
      | ~ c_in(X20,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_ONotes(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Notes__imp__knows__Spy_0) ).

fof(c_0_117_118,axiom,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X34,X51,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X51,X3) ),
    file('<stdin>',cls_le__sup__iff_1) ).

fof(c_0_118_119,axiom,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X14,X51,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X51,X3) ),
    file('<stdin>',cls_le__sup__iff_0) ).

fof(c_0_119_120,axiom,
    ! [X14,X38,X27,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X38,X14,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X38,X3),X14,X3) ),
    file('<stdin>',cls_le__supE_1) ).

fof(c_0_120_121,axiom,
    ! [X14,X38,X27,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X27,X14,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X38,X3),X14,X3) ),
    file('<stdin>',cls_le__supE_0) ).

fof(c_0_121_122,axiom,
    ! [X2,X17,X16] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_analz_ODecrypt_0) ).

fof(c_0_122_123,axiom,
    ! [X38,X27,X20,X3] :
      ( c_in(X27,X20,X3)
      | X27 = X38
      | ~ c_in(X27,c_Set_Oinsert(X38,X20,X3),X3) ),
    file('<stdin>',cls_insertE_0) ).

fof(c_0_123_124,axiom,
    ! [X30,X34,X14,X3] :
      ( c_List_Omember(X14,X30,X3)
      | X14 = X34
      | ~ c_List_Omember(X14,c_List_Olist_OCons(X34,X30,X3),X3) ),
    file('<stdin>',cls_List_Omember_Osimps_I2_J_0) ).

fof(c_0_124_125,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__all(X29,X28,X3)
      | ~ c_List_Olist__all(X29,c_List_Olist_OCons(X14,X28,X3),X3) ),
    file('<stdin>',cls_list__all_Osimps_I2_J_1) ).

fof(c_0_125_126,axiom,
    ! [X38,X19,X20,X3] :
      ( c_lessequals(X20,c_Set_Oinsert(X38,X19,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insertI2_0) ).

fof(c_0_126_127,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__all(X29,c_List_Olist_OCons(X14,X28,X3),X3)
      | ~ c_List_Olist__all(X29,X28,X3)
      | ~ hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_list__all_Osimps_I2_J_2) ).

fof(c_0_127_128,axiom,
    ! [X25,X19,X20,X3] :
      ( c_in(X25,c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X3)
      | ~ c_in(X25,X20,X3) ),
    file('<stdin>',cls_UnCI_1) ).

fof(c_0_128_129,axiom,
    ! [X25,X19,X20,X3] :
      ( c_in(X25,c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X3)
      | ~ c_in(X25,X19,X3) ),
    file('<stdin>',cls_UnCI_0) ).

fof(c_0_129_130,axiom,
    ! [X34,X14,X20,X3] :
      ( hBOOL(hAPP(c_Set_Oinsert(X34,X20,X3),X14))
      | ~ hBOOL(hAPP(X20,X14)) ),
    file('<stdin>',cls_insert__code_2) ).

fof(c_0_130_131,axiom,
    ! [X28,X14,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_in(X14,c_List_Oset(c_List_Obutlast(X28,X3),X3),X3) ),
    file('<stdin>',cls_in__set__butlastD_0) ).

fof(c_0_131_132,axiom,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,X14))
      | ~ c_List_Olist__all(X29,c_List_Olist_OCons(X14,X28,X3),X3) ),
    file('<stdin>',cls_list__all_Osimps_I2_J_0) ).

fof(c_0_132_133,axiom,
    ! [X14,X19,X20,X3] :
      ( c_Set_Oinsert(X14,X20,X3) != c_Set_Oinsert(X14,X19,X3)
      | c_in(X14,X19,X3)
      | c_in(X14,X20,X3)
      | X20 = X19 ),
    file('<stdin>',cls_insert__ident_0) ).

fof(c_0_133_134,axiom,
    ! [X2,X16,X26] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_lessequals(X26,c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oanalz(X26),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__trans_0) ).

fof(c_0_134_135,axiom,
    ! [X2,X16,X26] :
      ( c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_lessequals(X26,c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(X26),tc_Message_Omsg) ),
    file('<stdin>',cls_synth__trans_0) ).

fof(c_0_135_136,axiom,
    ! [X2,X16,X26] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_lessequals(X26,c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oparts(X26),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__trans_0) ).

fof(c_0_136_137,axiom,
    ! [X18,X38,X20] :
      ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X38,X20))),c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg)
      | ~ c_in(X20,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_Spy__spies__bad__privateKey_0) ).

fof(c_0_137_138,axiom,
    ! [X2,X17,X16] :
      ( c_in(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth__eq_0) ).

fof(c_0_138_139,axiom,
    ! [X2,X17,X16] :
      ( c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth_1) ).

fof(c_0_139_140,axiom,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Osynth(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X2,X1),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__synth_1) ).

fof(c_0_140_141,axiom,
    ! [X1,X2,X16] :
      ( c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X2,X1),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__synth_0) ).

fof(c_0_141_142,axiom,
    ! [X2,X17,X16] :
      ( c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth_0) ).

fof(c_0_142_143,axiom,
    ! [X2,X17,X16] :
      ( c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_synth_OCrypt_0) ).

fof(c_0_143_144,axiom,
    ! [X1,X2,X16] :
      ( c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_synth_OMPair_0) ).

fof(c_0_144_145,axiom,
    ! [X2,X17,X16] :
      ( c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg) ),
    file('<stdin>',cls_Crypt__synth__eq_1) ).

fof(c_0_145_146,axiom,
    ! [X14,X33,X29,X3] :
      ( c_List_Ofilter(X29,c_List_Oreplicate(X33,X14,X3),X3) = c_List_Oreplicate(X33,X14,X3)
      | ~ hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_filter__replicate_0) ).

fof(c_0_146_147,axiom,
    ! [X55,X19,X20,X3] :
      ( c_in(X55,X19,X3)
      | ~ c_in(X55,X20,X3)
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__iff_0) ).

fof(c_0_147_148,axiom,
    ! [X14,X19,X20,X3] :
      ( c_in(X14,X19,X3)
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | ~ c_in(X14,X20,X3) ),
    file('<stdin>',cls_set__rev__mp_0) ).

fof(c_0_148_149,axiom,
    ! [X25,X19,X20,X3] :
      ( c_in(X25,X19,X3)
      | ~ c_in(X25,X20,X3)
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subsetD_0) ).

fof(c_0_149_150,axiom,
    ! [X14,X19,X20,X3] :
      ( c_in(X14,X19,X3)
      | ~ c_in(X14,X20,X3)
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__mp_0) ).

fof(c_0_150_151,axiom,
    ! [X14,X38,X27,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X27,X38,X3),X3)
      | ~ c_lessequals(X14,X38,X3) ),
    file('<stdin>',cls_le__supI2_0) ).

fof(c_0_151_152,axiom,
    ! [X14,X38,X27,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X27,X38,X3),X3)
      | ~ c_lessequals(X14,X27,X3) ),
    file('<stdin>',cls_le__supI1_0) ).

fof(c_0_152_153,axiom,
    ! [X18,X2,X20] :
      ( c_Event_Oknows(X20,c_List_Olist_OCons(c_Event_Oevent_OGets(X20,X2),X18,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X20,X18),tc_Message_Omsg)
      | X20 = c_Message_Oagent_OSpy ),
    file('<stdin>',cls_knows__Gets_0) ).

fof(c_0_153_154,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__ex(X29,c_List_Olist_OCons(X14,X28,X3),X3)
      | ~ c_List_Olist__ex(X29,X28,X3) ),
    file('<stdin>',cls_list__ex_Osimps_I2_J_2) ).

fof(c_0_154_155,axiom,
    ! [X34,X28,X14,X3] :
      ( c_List_OListMem(X14,c_List_Olist_OCons(X34,X28,X3),X3)
      | ~ c_List_OListMem(X14,X28,X3) ),
    file('<stdin>',cls_insert_0) ).

fof(c_0_155_156,axiom,
    ! [X38,X27,X20,X3] :
      ( c_in(X27,c_Set_Oinsert(X38,X20,X3),X3)
      | ~ c_in(X27,X20,X3) ),
    file('<stdin>',cls_insert__iff_2) ).

fof(c_0_156_157,axiom,
    ! [X38,X27,X19,X3] :
      ( c_in(X27,c_Set_Oinsert(X38,X19,X3),X3)
      | ~ c_in(X27,X19,X3) ),
    file('<stdin>',cls_insertCI_0) ).

fof(c_0_157_158,axiom,
    ! [X30,X34,X14,X3] :
      ( c_List_Omember(X14,c_List_Olist_OCons(X34,X30,X3),X3)
      | ~ c_List_Omember(X14,X30,X3) ),
    file('<stdin>',cls_List_Omember_Osimps_I2_J_2) ).

fof(c_0_158_159,axiom,
    ! [X19,X20,X3] :
      ( X20 = X19
      | ~ c_lessequals(X19,X20,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_equalityI_0) ).

fof(c_0_159_160,axiom,
    ! [X19,X20,X3] :
      ( X20 = X19
      | ~ c_lessequals(X19,X20,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__eq__subset_2) ).

fof(c_0_160_161,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_OremoveAll(X14,c_List_Ofilter(X29,X28,X3),X3) = c_List_Ofilter(X29,X28,X3)
      | hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_removeAll__filter__not_0) ).

fof(c_0_161_162,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Oremove1(X14,c_List_Ofilter(X29,X28,X3),X3) = c_List_Ofilter(X29,X28,X3)
      | hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_remove1__filter__not_0) ).

fof(c_0_162_163,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Ofilter(X29,c_List_Olist_OCons(X14,X28,X3),X3) = c_List_Ofilter(X29,X28,X3)
      | hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_filter_Osimps_I2_J_1) ).

fof(c_0_163_164,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_OtakeWhile(X29,X28,X3) != X28
      | hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_takeWhile__eq__all__conv_0) ).

fof(c_0_164_165,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Ofilter(X29,X28,X3) != X28
      | hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_filter__id__conv_0) ).

fof(c_0_165_166,axiom,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_List_Olist__all(X29,X28,X3) ),
    file('<stdin>',cls_list__all__iff_0) ).

fof(c_0_166_167,axiom,
    ! [X28,X14,X20,X3] :
      ( hBOOL(hAPP(X20,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_List_Olistsp(X20,X28,X3) ),
    file('<stdin>',cls_in__listsp__conv__set_0) ).

fof(c_0_167_168,axiom,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Event_Oknows(X20,X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | X20 = c_Message_Oagent_OSpy ),
    file('<stdin>',cls_Gets__imp__knows__agents_0) ).

fof(c_0_168_169,axiom,
    ! [X14,X39,X31,X32,X3] :
      ( ~ class_HOL_Oord(X32)
      | c_lessequals(hAPP(X31,X14),hAPP(X39,X14),X32)
      | ~ c_lessequals(X31,X39,tc_fun(X3,X32)) ),
    file('<stdin>',cls_le__funD_0) ).

fof(c_0_169_170,axiom,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Event_Oknows(X20,X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Notes__imp__knows_0) ).

fof(c_0_170_171,axiom,
    ! [X51,X34,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X51,X14,X3)
      | ~ c_lessequals(X51,X34,X3)
      | ~ c_lessequals(X34,X14,X3) ),
    file('<stdin>',cls_xt1_I6_J_0) ).

fof(c_0_171_172,axiom,
    ! [X51,X34,X14,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X14,X51,X3)
      | ~ c_lessequals(X34,X51,X3)
      | ~ c_lessequals(X14,X34,X3) ),
    file('<stdin>',cls_order__trans_0) ).

fof(c_0_172_173,axiom,
    ! [X18,X2,X20] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X20,X2),X18,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X18)
      | c_in(X20,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_knows__Spy__Notes_1) ).

fof(c_0_173_174,axiom,
    ! [X20,X3] :
      ( X20 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__empty_0) ).

fof(c_0_174_175,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__ex(X29,X28,X3)
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_list__ex__iff_2) ).

fof(c_0_175_176,axiom,
    ! [X2,X41,X16] :
      ( c_Message_Oanalz(X16) != c_Message_Oanalz(X41)
      | c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X41,tc_Message_Omsg)) ),
    file('<stdin>',cls_analz__insert__cong_0) ).

fof(c_0_176_177,axiom,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X26)),c_Message_Osynth(c_Message_Oanalz(X16)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,X16,tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_synth__analz__mono_0) ).

fof(c_0_177_178,axiom,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__synth__analz_1) ).

fof(c_0_178_179,axiom,
    ! [X1,X2,X16] :
      ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__synth__analz_0) ).

fof(c_0_179_180,axiom,
    ! [X18,X25] :
      ( c_in(X25,c_Event_Oused(X18),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg) ),
    file('<stdin>',cls_usedI_0) ).

fof(c_0_180_181,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) ),
    file('<stdin>',cls_sup__left__idem_0) ).

fof(c_0_181_182,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) ),
    file('<stdin>',cls_inf__sup__aci_I8_J_0) ).

fof(c_0_182_183,axiom,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Event_Oused(X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Notes__imp__used_0) ).

fof(c_0_183_184,axiom,
    ! [X16,X26] :
      ( c_lessequals(X26,c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Osynth(X26),c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_synth__subset__iff_0) ).

fof(c_0_184_185,axiom,
    ! [X16,X26] :
      ( c_lessequals(X26,c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oparts(X26),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_parts__subset__iff_0) ).

fof(c_0_185_186,axiom,
    ! [X16,X26] :
      ( c_lessequals(X26,c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X26),c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_analz__subset__iff_0) ).

fof(c_0_186_187,axiom,
    ! [X14,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_bex__empty_0) ).

fof(c_0_187_188,axiom,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Osynth(X26),c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_synth__subset__iff_1) ).

fof(c_0_188_189,axiom,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Oparts(X26),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_parts__subset__iff_1) ).

fof(c_0_189_190,axiom,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Oanalz(X26),c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_analz__subset__iff_1) ).

fof(c_0_190_191,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__ex(X29,c_List_Olist_OCons(X14,X28,X3),X3)
      | ~ hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_list__ex_Osimps_I2_J_1) ).

fof(c_0_191_192,axiom,
    ! [X2,X16] :
      ( c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)) = c_Message_Oanalz(X16)
      | ~ c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__insert__eq_0) ).

fof(c_0_192_193,axiom,
    ! [X2,X16] :
      ( c_Message_Oparts(c_Set_Oinsert(X2,X16,tc_Message_Omsg)) = c_Message_Oparts(X16)
      | ~ c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__cut__eq_0) ).

fof(c_0_193_194,axiom,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Osynth(X26),c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,X16,tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_synth__mono_0) ).

fof(c_0_194_195,axiom,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Oparts(X26),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,X16,tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_parts__mono_0) ).

fof(c_0_195_196,axiom,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Oanalz(X26),c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,X16,tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('<stdin>',cls_analz__mono_0) ).

fof(c_0_196_197,axiom,
    ! [X30,X28,X14,X29,X3] :
      ( c_List_Olist_OCons(X14,X28,X3) != c_List_Ofilter(X29,X30,X3)
      | hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_Cons__eq__filterD_2) ).

fof(c_0_197_198,axiom,
    ! [X30,X28,X14,X29,X3] :
      ( c_List_Ofilter(X29,X30,X3) != c_List_Olist_OCons(X14,X28,X3)
      | hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_filter__eq__ConsD_2) ).

fof(c_0_198_199,axiom,
    ! [X19,X20,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)) != X19
      | c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__Un__eq_1) ).

fof(c_0_199_200,axiom,
    ! [X19,X20,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)) = X19
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__absorb1_0) ).

fof(c_0_200_201,axiom,
    ! [X19,X20,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)) = X20
      | ~ c_lessequals(X19,X20,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__absorb2_0) ).

fof(c_0_201_202,axiom,
    ! [X14,X50,X29,X3] :
      ( hBOOL(hAPP(X50,X14))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_lessequals(X29,X50,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_predicate1D_0) ).

fof(c_0_202_203,axiom,
    ! [X14,X50,X29,X3] :
      ( hBOOL(hAPP(X50,X14))
      | ~ c_lessequals(X29,X50,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X29,X14)) ),
    file('<stdin>',cls_rev__predicate1D_0) ).

fof(c_0_203_204,axiom,
    ! [X14,X29,X3] :
      ( hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_ball__empty_0) ).

fof(c_0_204_205,axiom,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_analz_OSnd_0) ).

fof(c_0_205_206,axiom,
    ! [X1,X2,X16] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_analz_OFst_0) ).

fof(c_0_206_207,axiom,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Event_Oused(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Event_Oused(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__used_1) ).

fof(c_0_207_208,axiom,
    ! [X1,X2,X16] :
      ( c_in(X2,c_Event_Oused(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Event_Oused(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_MPair__used_0) ).

fof(c_0_208_209,axiom,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_parts_OSnd_0) ).

fof(c_0_209_210,axiom,
    ! [X1,X2,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_parts_OFst_0) ).

fof(c_0_210_211,axiom,
    ! [X2,X17,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_parts_OBody_0) ).

fof(c_0_211_212,axiom,
    ! [X19,X20,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X19 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__empty_1) ).

fof(c_0_212_213,axiom,
    ! [X19,X20,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X20 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__empty_0) ).

fof(c_0_213_214,axiom,
    ! [X36,X14,X3] :
      ( c_Set_Oinsert(X14,X36,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_in(X14,X36,X3) ),
    file('<stdin>',cls_comm__monoid__add_Ononempty__iff_2) ).

fof(c_0_214_215,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X14 = X34
      | ~ c_lessequals(X34,X14,X3)
      | ~ c_lessequals(X14,X34,X3) ),
    file('<stdin>',cls_order__eq__iff_2) ).

fof(c_0_215_216,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X14 = X34
      | ~ c_lessequals(X34,X14,X3)
      | ~ c_lessequals(X14,X34,X3) ),
    file('<stdin>',cls_order__antisym_0) ).

fof(c_0_216_217,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X14 = X34
      | ~ c_lessequals(X14,X34,X3)
      | ~ c_lessequals(X34,X14,X3) ),
    file('<stdin>',cls_order__antisym__conv_0) ).

fof(c_0_217_218,axiom,
    ! [X28,X14,X3] :
      ( c_List_Omember(X14,X28,X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_mem__iff_1) ).

fof(c_0_218_219,axiom,
    ! [X28,X14,X3] :
      ( c_List_OListMem(X14,X28,X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_ListMem__iff_1) ).

fof(c_0_219_220,axiom,
    ! [X45,X46,X14,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X14,X14,X3) != c_HOL_Ominus__class_Ominus(X46,X45,X3)
      | X46 = X45 ),
    file('<stdin>',cls_eq__eqI_0) ).

fof(c_0_220_221,axiom,
    ! [X34,X36,X14,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X36,X34,X3) != c_HOL_Ominus__class_Ominus(X14,X14,X3)
      | X36 = X34 ),
    file('<stdin>',cls_eq__eqI_1) ).

fof(c_0_221_222,axiom,
    ! [X18,X20] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X20)),c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg)
      | ~ c_in(X20,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_Spy__spies__bad__shrK_0) ).

fof(c_0_222_223,axiom,
    ! [X34,X14,X33,X56,X3] :
      ( c_List_Oreplicate(X56,X14,X3) != c_List_Oreplicate(X33,X34,X3)
      | X56 = X33 ),
    file('<stdin>',cls_replicate__eq__replicate_0) ).

fof(c_0_223_224,axiom,
    ! [X47,X48,X49,X27,X3] :
      ( c_List_Olist_OCons(X27,X48,X3) != c_List_Olist_OCons(X49,X47,X3)
      | X27 = X49 ),
    file('<stdin>',cls_list_Oinject_0) ).

fof(c_0_224_225,axiom,
    ! [X47,X48,X49,X27,X3] :
      ( c_List_Olist_OCons(X27,X48,X3) != c_List_Olist_OCons(X49,X47,X3)
      | X48 = X47 ),
    file('<stdin>',cls_list_Oinject_1) ).

fof(c_0_225_226,axiom,
    ! [X12,X13,X21,X22,X23,X24] :
      ( c_Event_Oevent_OSays(X24,X22,X13) != c_Event_Oevent_OSays(X23,X21,X12)
      | X24 = X23 ),
    file('<stdin>',cls_event_Osimps_I1_J_0) ).

fof(c_0_226_227,axiom,
    ! [X12,X13,X21,X22,X23,X24] :
      ( c_Event_Oevent_OSays(X24,X22,X13) != c_Event_Oevent_OSays(X23,X21,X12)
      | X22 = X21 ),
    file('<stdin>',cls_event_Osimps_I1_J_1) ).

fof(c_0_227_228,axiom,
    ! [X12,X13,X21,X22,X23,X24] :
      ( c_Event_Oevent_OSays(X24,X22,X13) != c_Event_Oevent_OSays(X23,X21,X12)
      | X13 = X12 ),
    file('<stdin>',cls_event_Osimps_I1_J_2) ).

fof(c_0_228_229,axiom,
    ! [X2,X16] :
      ( c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X16,X2),X16,tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__singleton_0) ).

fof(c_0_229_230,axiom,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__analzD_0) ).

fof(c_0_230_231,axiom,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_synth__synthD_0) ).

fof(c_0_231_232,axiom,
    ! [X18,X2,X19] :
      ( c_in(X2,c_Event_Oused(X18),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(c_Event_OinitState(X19)),tc_Message_Omsg) ),
    file('<stdin>',cls_initState__into__used_0) ).

fof(c_0_232_233,axiom,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(c_Message_Oparts(X16)),tc_Message_Omsg) ),
    file('<stdin>',cls_parts__partsD_0) ).

fof(c_0_233_234,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) ),
    file('<stdin>',cls_inf__sup__ord_I3_J_0) ).

fof(c_0_234_235,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X34,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) ),
    file('<stdin>',cls_inf__sup__ord_I4_J_0) ).

fof(c_0_235_236,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X34,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) ),
    file('<stdin>',cls_sup__ge2_0) ).

fof(c_0_236_237,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) ),
    file('<stdin>',cls_sup__ge1_0) ).

fof(c_0_237_238,axiom,
    ! [X28,X14,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_List_Omember(X14,X28,X3) ),
    file('<stdin>',cls_mem__iff_0) ).

fof(c_0_238_239,axiom,
    ! [X28,X14,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_List_OListMem(X14,X28,X3) ),
    file('<stdin>',cls_ListMem__iff_0) ).

fof(c_0_239_240,axiom,
    ! [X17,X16] :
      ( c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),c_Message_Osynth(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_Key__synth_0) ).

fof(c_0_240_241,axiom,
    ! [X17,X16] :
      ( c_in(c_Message_Omsg_OKey(X17),c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg) ),
    file('<stdin>',cls_Key__synth__eq_1) ).

fof(c_0_241_242,axiom,
    ! [X25,X16] :
      ( ~ c_in(X25,c_Message_Oanalz(X16),tc_Message_Omsg)
      | c_in(X25,c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_not__parts__not__analz_0) ).

fof(c_0_242_243,axiom,
    ! [X25,X16] :
      ( c_in(X25,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__into__parts_0) ).

fof(c_0_243_244,axiom,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg) ),
    file('<stdin>',cls_analz__conj__parts_0) ).

fof(c_0_244_245,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) != X34
      | c_lessequals(X14,X34,X3) ),
    file('<stdin>',cls_le__iff__sup_1) ).

fof(c_0_245_246,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) = X14
      | ~ c_lessequals(X34,X14,X3) ),
    file('<stdin>',cls_sup__absorb1_0) ).

fof(c_0_246_247,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) = X34
      | ~ c_lessequals(X14,X34,X3) ),
    file('<stdin>',cls_le__iff__sup_0) ).

fof(c_0_247_248,axiom,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(X2,X16,tc_Message_Omsg) ),
    file('<stdin>',cls_analz_OInj_0) ).

fof(c_0_248_249,axiom,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X2,X16,tc_Message_Omsg) ),
    file('<stdin>',cls_synth_OInj_0) ).

fof(c_0_249_250,axiom,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X2,X16,tc_Message_Omsg) ),
    file('<stdin>',cls_parts_OInj_0) ).

fof(c_0_250_251,axiom,
    ! [X27,X20,X3] :
      ( c_Set_Oinsert(X27,X20,X3) = X20
      | ~ c_in(X27,X20,X3) ),
    file('<stdin>',cls_insert__absorb_0) ).

fof(c_0_251_252,axiom,
    ! [X28,X14,X3] :
      ( c_List_OremoveAll(X14,X28,X3) = X28
      | c_in(X14,c_List_Oset(X28,X3),X3) ),
    file('<stdin>',cls_removeAll__id_0) ).

fof(c_0_252_253,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X34,X14,X3)
      | c_lessequals(X14,X34,X3) ),
    file('<stdin>',cls_linorder__linear_0) ).

fof(c_0_253_254,axiom,
    ! [X14,X15,X3] :
      ( hBOOL(hAPP(X15,X14))
      | ~ c_in(X14,X15,X3) ),
    file('<stdin>',cls_mem__def_0) ).

fof(c_0_254_255,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) = c_Lattices_Oupper__semilattice__class_Osup(X34,X14,X3) ),
    file('<stdin>',cls_sup__commute_0) ).

fof(c_0_255_256,axiom,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) = c_Lattices_Oupper__semilattice__class_Osup(X34,X14,X3) ),
    file('<stdin>',cls_inf__sup__aci_I5_J_0) ).

fof(c_0_256_257,axiom,
    ! [X19,X20,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X20,X19,X3) != c_Orderings_Obot__class_Obot(X3)
      | X20 = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_sup__eq__bot__eq1_0) ).

fof(c_0_257_258,axiom,
    ! [X19,X20,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X20,X19,X3) != c_Orderings_Obot__class_Obot(X3)
      | X19 = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_sup__eq__bot__eq2_0) ).

fof(c_0_258_259,axiom,
    ! [X14,X15,X3] :
      ( c_in(X14,X15,X3)
      | ~ hBOOL(hAPP(X15,X14)) ),
    file('<stdin>',cls_mem__def_1) ).

fof(c_0_259_260,axiom,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(c_0_260_261,axiom,
    ! [X14,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,c_Orderings_Obot__class_Obot(X3),X3) = X14 ),
    file('<stdin>',cls_sup__bot__right_0) ).

fof(c_0_261_262,axiom,
    ! [X14,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X3),X14,X3) = X14 ),
    file('<stdin>',cls_sup__bot__left_0) ).

fof(c_0_262_263,axiom,
    ! [X14,X3] :
      ( ~ class_Orderings_Obot(X3)
      | c_lessequals(c_Orderings_Obot__class_Obot(X3),X14,X3) ),
    file('<stdin>',cls_bot__least_0) ).

fof(c_0_263_264,axiom,
    ! [X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X14,X3) = X14 ),
    file('<stdin>',cls_sup__idem_0) ).

fof(c_0_264_265,axiom,
    ! [X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X14,X14,X3) ),
    file('<stdin>',cls_order__eq__iff_0) ).

fof(c_0_265_266,axiom,
    ! [X14,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X14,X14,X3) ),
    file('<stdin>',cls_order__eq__refl_0) ).

fof(c_0_266_267,axiom,
    ! [X25,X38,X57,X20] :
      ( c_Public_OpublicKey(X38,X20) != c_Public_OpublicKey(X25,X57)
      | X38 = X25 ),
    file('<stdin>',cls_publicKey__inject_0) ).

fof(c_0_267_268,axiom,
    ! [X25,X38,X57,X20] :
      ( c_Public_OpublicKey(X38,X20) != c_Public_OpublicKey(X25,X57)
      | X20 = X57 ),
    file('<stdin>',cls_publicKey__inject_1) ).

fof(c_0_268_269,axiom,
    ! [X12,X13,X53,X54] :
      ( c_Event_Oevent_OGets(X54,X13) != c_Event_Oevent_OGets(X53,X12)
      | X13 = X12 ),
    file('<stdin>',cls_event_Osimps_I2_J_1) ).

fof(c_0_269_270,axiom,
    ! [X12,X13,X53,X54] :
      ( c_Event_Oevent_OGets(X54,X13) != c_Event_Oevent_OGets(X53,X12)
      | X54 = X53 ),
    file('<stdin>',cls_event_Osimps_I2_J_0) ).

fof(c_0_270_271,axiom,
    ! [X12,X13,X53,X54] :
      ( c_Event_Oevent_ONotes(X54,X13) != c_Event_Oevent_ONotes(X53,X12)
      | X13 = X12 ),
    file('<stdin>',cls_event_Osimps_I3_J_1) ).

fof(c_0_271_272,axiom,
    ! [X12,X13,X53,X54] :
      ( c_Event_Oevent_ONotes(X54,X13) != c_Event_Oevent_ONotes(X53,X12)
      | X54 = X53 ),
    file('<stdin>',cls_event_Osimps_I3_J_0) ).

fof(c_0_272_273,axiom,
    ! [X10,X11,X12,X13] :
      ( c_Message_Omsg_OCrypt(X11,X13) != c_Message_Omsg_OCrypt(X10,X12)
      | X11 = X10 ),
    file('<stdin>',cls_msg_Osimps_I7_J_0) ).

fof(c_0_273_274,axiom,
    ! [X10,X11,X12,X13] :
      ( c_Message_Omsg_OCrypt(X11,X13) != c_Message_Omsg_OCrypt(X10,X12)
      | X13 = X12 ),
    file('<stdin>',cls_msg_Osimps_I7_J_1) ).

fof(c_0_274_275,axiom,
    ! [X6,X7,X8,X9] :
      ( c_Message_Omsg_OMPair(X9,X7) != c_Message_Omsg_OMPair(X8,X6)
      | X9 = X8 ),
    file('<stdin>',cls_msg_Osimps_I6_J_0) ).

fof(c_0_275_276,axiom,
    ! [X6,X7,X8,X9] :
      ( c_Message_Omsg_OMPair(X9,X7) != c_Message_Omsg_OMPair(X8,X6)
      | X7 = X6 ),
    file('<stdin>',cls_msg_Osimps_I6_J_1) ).

fof(c_0_276_277,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_277_278,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_278_279,axiom,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Opreorder) ).

fof(c_0_279_280,axiom,
    ! [X4,X5] :
      ( class_Lattices_Olattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Olattice) ).

fof(c_0_280_281,axiom,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Oorder) ).

fof(c_0_281_282,axiom,
    ! [X4,X5] :
      ( class_Orderings_Obot(tc_fun(X4,X5))
      | ~ class_Orderings_Obot(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Obot) ).

fof(c_0_282_283,axiom,
    ! [X4,X5] :
      ( class_HOL_Oord(tc_fun(X4,X5))
      | ~ class_HOL_Oord(X5) ),
    file('<stdin>',clsarity_fun__HOL_Oord) ).

fof(c_0_283_284,axiom,
    ! [X59,X17] :
      ( c_Message_OinvKey(X17) != c_Message_OinvKey(X59)
      | X17 = X59 ),
    file('<stdin>',cls_invKey__eq_0) ).

fof(c_0_284_285,axiom,
    ! [X34,X14] :
      ( c_Public_OshrK(X14) != c_Public_OshrK(X34)
      | X14 = X34 ),
    file('<stdin>',cls_shrK__injective_0) ).

fof(c_0_285_286,axiom,
    ! [X10,X11] :
      ( c_Message_Omsg_OKey(X11) != c_Message_Omsg_OKey(X10)
      | X11 = X10 ),
    file('<stdin>',cls_msg_Osimps_I4_J_0) ).

fof(c_0_286_287,axiom,
    ! [X30,X28,X14,X31,X32,X3] :
      ( c_Map_Omap__upds(X31,X28,X30,X14,X3,X32) = hAPP(X31,X14)
      | c_in(X14,c_List_Oset(X28,X3),X3) ),
    c_0_0 ).

fof(c_0_287_288,plain,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X20,X19,X2,X18),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_OIssues(X20,X19,X2,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_288_289,plain,
    ! [X18,X2,X19,X20] :
      ( c_in(c_Event_Oevent_OSays(X20,X19,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X20,X19,X2,X18)),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_NS__Shared__Mirabelle_OIssues(X20,X19,X2,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_289_290,plain,
    ! [X18,X25,X2,X19,X20] :
      ( ~ c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X20,X19,X2),X18,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_290_291,plain,
    ! [X2,X16,X26] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X26)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X26,X16,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(X26)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_291_292,plain,
    ! [X2,X17,X16] :
      ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_292_293,plain,
    ! [X2,X17,X16] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_293_294,plain,
    ! [X25,X2,X16] :
      ( c_in(X25,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X16)),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(X25,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_7]) ).

fof(c_0_294_295,plain,
    ! [X41,X16,X42,X26] :
      ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X26,X16,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X42,X41,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X16),c_Message_Oanalz(X41),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X26),c_Message_Oanalz(X42),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_295_296,plain,
    ! [X28,X14,X39,X31,X32,X3] :
      ( c_List_Omap(X31,X28,X32,X3) != c_List_Omap(X39,X28,X32,X3)
      | hAPP(X31,X14) = hAPP(X39,X14)
      | ~ c_in(X14,c_List_Oset(X28,X32),X32) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_296_297,plain,
    ! [X18,X25,X2,X20] :
      ( ~ c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X20,X2),X18,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_297_298,plain,
    ! [X18,X25,X2,X20] :
      ( ~ c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | c_in(X25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X20,X2),X18,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_298_299,plain,
    ! [X1,X2,X16,X26] :
      ( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X26,X16,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X26,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_299_300,axiom,
    ! [X52,X25,X38,X27,X3] :
      ( c_Set_Oinsert(X27,c_Set_Oinsert(X38,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X25,c_Set_Oinsert(X52,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X27 = X52
      | X27 = X25 ),
    c_0_13 ).

fof(c_0_300_301,axiom,
    ! [X52,X25,X38,X27,X3] :
      ( c_Set_Oinsert(X27,c_Set_Oinsert(X38,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X25,c_Set_Oinsert(X52,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X38 = X25
      | X27 = X25 ),
    c_0_14 ).

fof(c_0_301_302,axiom,
    ! [X52,X25,X38,X27,X3] :
      ( c_Set_Oinsert(X27,c_Set_Oinsert(X38,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X25,c_Set_Oinsert(X52,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X27 = X52
      | X38 = X52 ),
    c_0_15 ).

fof(c_0_302_303,axiom,
    ! [X52,X25,X38,X27,X3] :
      ( c_Set_Oinsert(X27,c_Set_Oinsert(X38,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X25,c_Set_Oinsert(X52,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X38 = X25
      | X38 = X52 ),
    c_0_16 ).

fof(c_0_303_304,plain,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Event_OinitState(X20),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OGets(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(X20,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X20,X2,X18),X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | X20 = c_Message_Oagent_OSpy
      | ~ c_in(X2,c_Event_Oknows(X20,X18),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_304_305,plain,
    ! [X40,X2,X16] :
      ( c_in(X40,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X16)),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(X40,c_Message_Oparts(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_305_306,plain,
    ! [X2,X16] :
      ( 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(X16)),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_306_307,plain,
    ! [X2,X17,X16,X26] :
      ( c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(X26),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(c_Set_Oinsert(X2,X26,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_lessequals(X16,X26,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_307_308,plain,
    ! [X30,X28,X35,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X30))
      | ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__iff__1__1(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X35))
      | ~ c_in(X35,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_308_309,plain,
    ! [X30,X28,X14,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X30))
      | ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__1__1(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_309_310,plain,
    ! [X30,X28,X35,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X30))
      | ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__iff__1__3(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X35))
      | ~ c_in(X35,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_310_311,plain,
    ! [X28,X36,X14,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X36))
      | ~ c_in(X36,c_List_Oset(c_List_Osko__List__Xsplit__list__last__propE__1__3(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_311_312,plain,
    ! [X30,X28,X14,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X30))
      | ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__1__3(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_312_313,plain,
    ! [X28,X36,X14,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X36))
      | ~ c_in(X36,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(X29,X28,X3),X3),X3)
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_313_314,plain,
    ! [X25,X16,X26] :
      ( c_in(X25,c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(X25,c_Message_Oparts(X26),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X26,X16,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_314_315,plain,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(X16,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_315_316,plain,
    ! [X43,X44,X19,X20,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X44,X43,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X19,X43,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X44,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_316_317,plain,
    ! [X18,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,X18),X2),c_List_Oset(X18,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,X18),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X2,X18),X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_317_318,plain,
    ! [X2,X17,X16,X26] :
      ( c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(c_Set_Oinsert(X2,X26,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(X26),tc_Message_Omsg)
      | ~ c_lessequals(X16,X26,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_318_319,plain,
    ! [X2,X16] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X16)),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_319_320,plain,
    ! [X28,X14,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Osko__List__Xsplit__list__first__1__1(X14,X28,X3),X3),X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_320_321,plain,
    ! [X28,X14,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__first__1__1(X14,X28,X3),X3),X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_321_322,plain,
    ! [X28,X14,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__last__1__2(X14,X28,X3),X3),X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_322_323,plain,
    ! [X28,X14,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Osko__List__Xsplit__list__last__1__2(X14,X28,X3),X3),X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_323_324,plain,
    ! [X14,X20,X3] :
      ( X20 = c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X20 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_324_325,plain,
    ! [X14,X19,X20,X3] :
      ( hBOOL(hAPP(X19,X14))
      | hBOOL(hAPP(X20,X14))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_325_326,plain,
    ! [X58,X2,X19] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X19,X2),X58,tc_Event_Oevent))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X58))),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X58) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_326_327,plain,
    ! [X2,X17,X16] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_327_328,plain,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_328_329,plain,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_329_330,plain,
    ! [X18,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(X18),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Event_Oused(X18),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_330_331,plain,
    ! [X27,X16] :
      ( c_in(c_Message_Omsg_OCrypt(v_sko__Message__Xparts__Xcases__3(X16,X27),X27),c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(v_sko__Message__Xparts__Xcases__2(X16,X27),X27),c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X27,v_sko__Message__Xparts__Xcases__1(X16,X27)),c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(X27,X16,tc_Message_Omsg)
      | ~ c_in(X27,c_Message_Oparts(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_331_332,plain,
    ! [X28,X38,X27,X3] :
      ( c_in(X27,c_List_Oset(X28,X3),X3)
      | ~ c_in(X27,c_List_Oset(c_List_Oremove1(X38,X28,X3),X3),X3)
      | X27 = X38 ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_332_333,plain,
    ! [X34,X28,X14,X3] :
      ( c_in(X34,c_List_Oset(X28,X3),X3)
      | X34 = X14
      | ~ c_in(X34,c_List_Oset(c_List_Olist_OCons(X14,X28,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_333_334,plain,
    ! [X34,X28,X14,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Oremove1(X34,X28,X3),X3),X3)
      | c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_334_335,plain,
    ! [X28,X14,X37,X3] :
      ( ~ c_in(X14,c_List_Oset(c_List_Osublist(X28,X37,X3),X3),X3)
      | c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_335_336,plain,
    ! [X28,X14,X37,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_in(X14,c_List_Oset(c_List_Osublist(X28,X37,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_336_337,plain,
    ! [X28,X14,X33,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_in(X14,c_List_Oset(c_List_Otake(X33,X28,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_337_338,plain,
    ! [X28,X14,X33,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_in(X14,c_List_Oset(c_List_Odrop(X33,X28,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_338_339,plain,
    ! [X28,X14,X29,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_in(X14,c_List_Oset(c_List_OtakeWhile(X29,X28,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_339_340,plain,
    ! [X2,X16,X26] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,X16,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X26),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,X26,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_340_341,plain,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(c_List_OtakeWhile(X29,X28,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_341_342,plain,
    ! [X44,X19,X20,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X19,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X44,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_342_343,plain,
    ! [X44,X19,X20,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X19,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X44,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_343_344,plain,
    ! [X34,X14,X33,X3] :
      ( X14 = X34
      | ~ c_in(X14,c_List_Oset(c_List_Oreplicate(X33,X34,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_344_345,plain,
    ! [X2,X17,X16] :
      ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_345_346,plain,
    ! [X25,X26,X20] :
      ( c_in(X25,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X20,X26,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oanalz(X26),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_346_347,plain,
    ! [X44,X19,X20,X3] :
      ( c_lessequals(X20,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X44,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_347_348,plain,
    ! [X44,X19,X20,X3] :
      ( c_lessequals(X19,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X44,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_348_349,plain,
    ! [X25,X19,X20,X3] :
      ( c_in(X25,X19,X3)
      | c_in(X25,X20,X3)
      | ~ c_in(X25,c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_349_350,plain,
    ! [X2,X17,X16] :
      ( c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_350_351,plain,
    ! [X28,X38,X27,X3] :
      ( c_in(X27,c_List_Oset(c_List_Oremove1(X38,X28,X3),X3),X3)
      | ~ c_in(X27,c_List_Oset(X28,X3),X3)
      | X27 = X38 ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_351_352,plain,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | c_in(X14,X20,X3)
      | ~ c_lessequals(X20,c_Set_Oinsert(X14,X19,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_352_353,plain,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,c_Set_Oinsert(X14,X19,X3),tc_fun(X3,tc_bool))
      | c_in(X14,X20,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_353_354,plain,
    ! [X38,X27,X3] :
      ( X38 = X27
      | ~ c_in(X38,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_354_355,plain,
    ! [X28,X35,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__last__prop__iff__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X35))
      | ~ c_in(X35,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_355_356,plain,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__first__prop__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_356_357,plain,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__last__propE__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_357_358,plain,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__first__propE__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_358_359,plain,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__propE__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_359_360,plain,
    ! [X28,X35,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__first__prop__iff__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X35))
      | ~ c_in(X35,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_360_361,plain,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__last__prop__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_361_362,plain,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,c_List_Osko__List__Xsplit__list__prop__1__2(X29,X28,X3)))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_362_363,plain,
    ! [X34,X14,X20,X3] :
      ( hBOOL(hAPP(X20,X14))
      | X34 = X14
      | ~ hBOOL(hAPP(c_Set_Oinsert(X34,X20,X3),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_363_364,plain,
    ! [X27,X43,X44,X3] :
      ( c_lessequals(c_Set_Oinsert(X27,X44,X3),c_Set_Oinsert(X27,X43,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X44,X43,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_364_365,plain,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | ~ c_in(X20,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X20),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_365_366,plain,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(c_Set_Oinsert(X14,X20,X3),X19,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | ~ c_in(X14,X19,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_366_367,plain,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X19,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_367_368,plain,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X19,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_368_369,plain,
    ! [X14,X19,X20,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X14))
      | ~ hBOOL(hAPP(X19,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_369_370,plain,
    ! [X14,X19,X20,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X14))
      | ~ hBOOL(hAPP(X20,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_370_371,plain,
    ! [X28,X14,X29,X3] :
      ( c_List_Ofilter(X29,c_List_Olist_OCons(X14,X28,X3),X3) = c_List_Olist_OCons(X14,c_List_Ofilter(X29,X28,X3),X3)
      | ~ hBOOL(hAPP(X29,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_371_372,plain,
    ! [X28,X14,X29,X3] :
      ( c_List_OtakeWhile(X29,c_List_Olist_OCons(X14,X28,X3),X3) = c_List_Olist_OCons(X14,c_List_OtakeWhile(X29,X28,X3),X3)
      | ~ hBOOL(hAPP(X29,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_372_373,plain,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X14,X20,X3),X19,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_373_374,plain,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Event_Oknows(X20,X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X19,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_374_375,plain,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X19,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_375_376,plain,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(X20,c_Set_Oinsert(X14,X19,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | c_in(X14,X20,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_376_377,plain,
    ! [X14,X19,X20,X3] :
      ( c_lessequals(X20,c_Set_Oinsert(X14,X19,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | c_in(X14,X20,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_377_378,plain,
    ! [X25,X27,X26] :
      ( c_in(X25,c_Message_Oanalz(c_Set_Oinsert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oanalz(X26),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_378_379,plain,
    ! [X25,X27,X26] :
      ( c_in(X25,c_Message_Oparts(c_Set_Oinsert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oparts(X26),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_379_380,plain,
    ! [X18,X2,X19,X20] :
      ( c_in(X2,c_Event_Oused(X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X20,X19,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_380_381,plain,
    ! [X14,X19,X20,X3] :
      ( c_in(X14,X19,X3)
      | ~ c_lessequals(c_Set_Oinsert(X14,X20,X3),X19,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_381_382,plain,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X51,X3)
      | ~ c_lessequals(X34,X51,X3)
      | ~ c_lessequals(X14,X51,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_382_383,plain,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X34,X51,X3),X14,X3)
      | ~ c_lessequals(X51,X14,X3)
      | ~ c_lessequals(X34,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_383_384,plain,
    ! [X14,X38,X27,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X38,X3),X14,X3)
      | ~ c_lessequals(X38,X14,X3)
      | ~ c_lessequals(X27,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_384_385,plain,
    ! [X2,X16] :
      ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X16))
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_385_386,plain,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__ex(X29,X28,X3)
      | hBOOL(hAPP(X29,X14))
      | ~ c_List_Olist__ex(X29,c_List_Olist_OCons(X14,X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_386_387,axiom,
    ! [X38,X27,X3] :
      ( c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X38,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X27 = X38 ),
    c_0_100 ).

fof(c_0_387_388,plain,
    ! [X2,X16,X20] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X20)),c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X20),X2),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_388_389,plain,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X51,X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X34,X51,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_389_390,plain,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X34,X51,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X34,c_Lattices_Oupper__semilattice__class_Osup(X14,X51,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_390_391,plain,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X34,X51,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X34,c_Lattices_Oupper__semilattice__class_Osup(X14,X51,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_391_392,plain,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X51,X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X34,X51,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_392_393,axiom,
    ! [X41,X16,X42,X26] :
      ( c_Message_Oanalz(X16) != c_Message_Oanalz(X41)
      | c_Message_Oanalz(X26) != c_Message_Oanalz(X42)
      | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X26,X16,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X42,X41,tc_fun(tc_Message_Omsg,tc_bool))) ),
    c_0_106 ).

fof(c_0_393_394,plain,
    ! [X18,X2,X20] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X20,X2),X18,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg)
      | ~ c_in(X20,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_394_395,axiom,
    ! [X34,X28,X14,X3] :
      ( c_List_OremoveAll(X14,c_List_Olist_OCons(X34,X28,X3),X3) = c_List_Olist_OCons(X34,c_List_OremoveAll(X14,X28,X3),X3)
      | X14 = X34 ),
    c_0_108 ).

fof(c_0_395_396,axiom,
    ! [X34,X28,X14,X3] :
      ( c_List_Oremove1(X14,c_List_Olist_OCons(X34,X28,X3),X3) = c_List_Olist_OCons(X34,c_List_Oremove1(X14,X28,X3),X3)
      | X14 = X34 ),
    c_0_109 ).

fof(c_0_396_397,plain,
    ! [X2,X16,X26] :
      ( c_Message_Oanalz(c_Set_Oinsert(X2,X26,tc_Message_Omsg)) = c_Message_Oanalz(X26)
      | ~ c_lessequals(X16,X26,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_397_398,plain,
    ! [X1,X2,X16] :
      ( c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_398_399,axiom,
    ! [X2,X17,X16] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oanalz(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    c_0_112 ).

fof(c_0_399_400,plain,
    ! [X44,X19,X20,X3] :
      ( c_lessequals(X20,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X19,X44,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_400_401,plain,
    ! [X45,X34,X46,X14,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X14,X34,X3) != c_HOL_Ominus__class_Ominus(X46,X45,X3)
      | c_lessequals(X45,X46,X3)
      | ~ c_lessequals(X34,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_401_402,plain,
    ! [X45,X34,X46,X14,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X14,X34,X3) != c_HOL_Ominus__class_Ominus(X46,X45,X3)
      | c_lessequals(X34,X14,X3)
      | ~ c_lessequals(X45,X46,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_402_403,plain,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg)
      | ~ c_in(X20,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_ONotes(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_403_404,plain,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X34,X51,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X51,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_404_405,plain,
    ! [X51,X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X14,X51,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X51,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_405_406,plain,
    ! [X14,X38,X27,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X38,X14,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X38,X3),X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_406_407,plain,
    ! [X14,X38,X27,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X27,X14,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X38,X3),X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_407_408,plain,
    ! [X2,X17,X16] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X17)),c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_408_409,plain,
    ! [X38,X27,X20,X3] :
      ( c_in(X27,X20,X3)
      | X27 = X38
      | ~ c_in(X27,c_Set_Oinsert(X38,X20,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_409_410,plain,
    ! [X30,X34,X14,X3] :
      ( c_List_Omember(X14,X30,X3)
      | X14 = X34
      | ~ c_List_Omember(X14,c_List_Olist_OCons(X34,X30,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_410_411,plain,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__all(X29,X28,X3)
      | ~ c_List_Olist__all(X29,c_List_Olist_OCons(X14,X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_411_412,plain,
    ! [X38,X19,X20,X3] :
      ( c_lessequals(X20,c_Set_Oinsert(X38,X19,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_412_413,plain,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__all(X29,c_List_Olist_OCons(X14,X28,X3),X3)
      | ~ c_List_Olist__all(X29,X28,X3)
      | ~ hBOOL(hAPP(X29,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_413_414,plain,
    ! [X25,X19,X20,X3] :
      ( c_in(X25,c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X3)
      | ~ c_in(X25,X20,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_414_415,plain,
    ! [X25,X19,X20,X3] :
      ( c_in(X25,c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)),X3)
      | ~ c_in(X25,X19,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_415_416,plain,
    ! [X34,X14,X20,X3] :
      ( hBOOL(hAPP(c_Set_Oinsert(X34,X20,X3),X14))
      | ~ hBOOL(hAPP(X20,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_416_417,plain,
    ! [X28,X14,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_in(X14,c_List_Oset(c_List_Obutlast(X28,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_417_418,plain,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,X14))
      | ~ c_List_Olist__all(X29,c_List_Olist_OCons(X14,X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_418_419,axiom,
    ! [X14,X19,X20,X3] :
      ( c_Set_Oinsert(X14,X20,X3) != c_Set_Oinsert(X14,X19,X3)
      | c_in(X14,X19,X3)
      | c_in(X14,X20,X3)
      | X20 = X19 ),
    c_0_132 ).

fof(c_0_419_420,plain,
    ! [X2,X16,X26] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_lessequals(X26,c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oanalz(X26),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_420_421,plain,
    ! [X2,X16,X26] :
      ( c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_lessequals(X26,c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Osynth(X26),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_421_422,plain,
    ! [X2,X16,X26] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_lessequals(X26,c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X2,c_Message_Oparts(X26),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_422_423,plain,
    ! [X18,X38,X20] :
      ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X38,X20))),c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg)
      | ~ c_in(X20,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_423_424,plain,
    ! [X2,X17,X16] :
      ( c_in(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_424_425,plain,
    ! [X2,X17,X16] :
      ( c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_425_426,plain,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Osynth(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X2,X1),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_426_427,plain,
    ! [X1,X2,X16] :
      ( c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X2,X1),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_427_428,plain,
    ! [X2,X17,X16] :
      ( c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_428_429,plain,
    ! [X2,X17,X16] :
      ( c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_429_430,plain,
    ! [X1,X2,X16] :
      ( c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_430_431,plain,
    ! [X2,X17,X16] :
      ( c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),X16,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_431_432,plain,
    ! [X14,X33,X29,X3] :
      ( c_List_Ofilter(X29,c_List_Oreplicate(X33,X14,X3),X3) = c_List_Oreplicate(X33,X14,X3)
      | ~ hBOOL(hAPP(X29,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_432_433,plain,
    ! [X55,X19,X20,X3] :
      ( c_in(X55,X19,X3)
      | ~ c_in(X55,X20,X3)
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_433_434,plain,
    ! [X14,X19,X20,X3] :
      ( c_in(X14,X19,X3)
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool))
      | ~ c_in(X14,X20,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_434_435,plain,
    ! [X25,X19,X20,X3] :
      ( c_in(X25,X19,X3)
      | ~ c_in(X25,X20,X3)
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_435_436,plain,
    ! [X14,X19,X20,X3] :
      ( c_in(X14,X19,X3)
      | ~ c_in(X14,X20,X3)
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_436_437,plain,
    ! [X14,X38,X27,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X27,X38,X3),X3)
      | ~ c_lessequals(X14,X38,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_437_438,plain,
    ! [X14,X38,X27,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X27,X38,X3),X3)
      | ~ c_lessequals(X14,X27,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_438_439,axiom,
    ! [X18,X2,X20] :
      ( c_Event_Oknows(X20,c_List_Olist_OCons(c_Event_Oevent_OGets(X20,X2),X18,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X20,X18),tc_Message_Omsg)
      | X20 = c_Message_Oagent_OSpy ),
    c_0_152 ).

fof(c_0_439_440,plain,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__ex(X29,c_List_Olist_OCons(X14,X28,X3),X3)
      | ~ c_List_Olist__ex(X29,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_440_441,plain,
    ! [X34,X28,X14,X3] :
      ( c_List_OListMem(X14,c_List_Olist_OCons(X34,X28,X3),X3)
      | ~ c_List_OListMem(X14,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_441_442,plain,
    ! [X38,X27,X20,X3] :
      ( c_in(X27,c_Set_Oinsert(X38,X20,X3),X3)
      | ~ c_in(X27,X20,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_442_443,plain,
    ! [X38,X27,X19,X3] :
      ( c_in(X27,c_Set_Oinsert(X38,X19,X3),X3)
      | ~ c_in(X27,X19,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_443_444,plain,
    ! [X30,X34,X14,X3] :
      ( c_List_Omember(X14,c_List_Olist_OCons(X34,X30,X3),X3)
      | ~ c_List_Omember(X14,X30,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_444_445,plain,
    ! [X19,X20,X3] :
      ( X20 = X19
      | ~ c_lessequals(X19,X20,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_445_446,plain,
    ! [X19,X20,X3] :
      ( X20 = X19
      | ~ c_lessequals(X19,X20,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_446_447,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_OremoveAll(X14,c_List_Ofilter(X29,X28,X3),X3) = c_List_Ofilter(X29,X28,X3)
      | hBOOL(hAPP(X29,X14)) ),
    c_0_160 ).

fof(c_0_447_448,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Oremove1(X14,c_List_Ofilter(X29,X28,X3),X3) = c_List_Ofilter(X29,X28,X3)
      | hBOOL(hAPP(X29,X14)) ),
    c_0_161 ).

fof(c_0_448_449,axiom,
    ! [X28,X14,X29,X3] :
      ( c_List_Ofilter(X29,c_List_Olist_OCons(X14,X28,X3),X3) = c_List_Ofilter(X29,X28,X3)
      | hBOOL(hAPP(X29,X14)) ),
    c_0_162 ).

fof(c_0_449_450,plain,
    ! [X28,X14,X29,X3] :
      ( c_List_OtakeWhile(X29,X28,X3) != X28
      | hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_450_451,plain,
    ! [X28,X14,X29,X3] :
      ( c_List_Ofilter(X29,X28,X3) != X28
      | hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_451_452,plain,
    ! [X28,X14,X29,X3] :
      ( hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_List_Olist__all(X29,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_452_453,plain,
    ! [X28,X14,X20,X3] :
      ( hBOOL(hAPP(X20,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_List_Olistsp(X20,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_453_454,plain,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Event_Oknows(X20,X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent)
      | X20 = c_Message_Oagent_OSpy ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_454_455,plain,
    ! [X14,X39,X31,X32,X3] :
      ( ~ class_HOL_Oord(X32)
      | c_lessequals(hAPP(X31,X14),hAPP(X39,X14),X32)
      | ~ c_lessequals(X31,X39,tc_fun(X3,X32)) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_455_456,plain,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Event_Oknows(X20,X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_456_457,plain,
    ! [X51,X34,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X51,X14,X3)
      | ~ c_lessequals(X51,X34,X3)
      | ~ c_lessequals(X34,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_457_458,plain,
    ! [X51,X34,X14,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X14,X51,X3)
      | ~ c_lessequals(X34,X51,X3)
      | ~ c_lessequals(X14,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_458_459,axiom,
    ! [X18,X2,X20] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X20,X2),X18,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X18)
      | c_in(X20,c_Event_Obad,tc_Message_Oagent) ),
    c_0_172 ).

fof(c_0_459_460,plain,
    ! [X20,X3] :
      ( X20 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X20,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_460_461,plain,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__ex(X29,X28,X3)
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_461_462,axiom,
    ! [X2,X41,X16] :
      ( c_Message_Oanalz(X16) != c_Message_Oanalz(X41)
      | c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X41,tc_Message_Omsg)) ),
    c_0_175 ).

fof(c_0_462_463,plain,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X26)),c_Message_Osynth(c_Message_Oanalz(X16)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,X16,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_463_464,plain,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_464_465,plain,
    ! [X1,X2,X16] :
      ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Osynth(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_465_466,plain,
    ! [X18,X25] :
      ( c_in(X25,c_Event_Oused(X18),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X18)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_466_467,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_467_468,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_468_469,plain,
    ! [X18,X2,X20] :
      ( c_in(X2,c_Event_Oused(X18),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X20,X2),c_List_Oset(X18,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_469_470,plain,
    ! [X16,X26] :
      ( c_lessequals(X26,c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Osynth(X26),c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_470_471,plain,
    ! [X16,X26] :
      ( c_lessequals(X26,c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oparts(X26),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_471_472,plain,
    ! [X16,X26] :
      ( c_lessequals(X26,c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X26),c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_472_473,plain,
    ! [X14,X29,X3] :
      ( ~ hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_473_474,plain,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Osynth(X26),c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_474_475,plain,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Oparts(X26),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_475_476,plain,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Oanalz(X26),c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_476_477,plain,
    ! [X28,X14,X29,X3] :
      ( c_List_Olist__ex(X29,c_List_Olist_OCons(X14,X28,X3),X3)
      | ~ hBOOL(hAPP(X29,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_477_478,plain,
    ! [X2,X16] :
      ( c_Message_Oanalz(c_Set_Oinsert(X2,X16,tc_Message_Omsg)) = c_Message_Oanalz(X16)
      | ~ c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_478_479,plain,
    ! [X2,X16] :
      ( c_Message_Oparts(c_Set_Oinsert(X2,X16,tc_Message_Omsg)) = c_Message_Oparts(X16)
      | ~ c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_479_480,plain,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Osynth(X26),c_Message_Osynth(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,X16,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_480_481,plain,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Oparts(X26),c_Message_Oparts(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,X16,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_481_482,plain,
    ! [X16,X26] :
      ( c_lessequals(c_Message_Oanalz(X26),c_Message_Oanalz(X16),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X26,X16,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_482_483,axiom,
    ! [X30,X28,X14,X29,X3] :
      ( c_List_Olist_OCons(X14,X28,X3) != c_List_Ofilter(X29,X30,X3)
      | hBOOL(hAPP(X29,X14)) ),
    c_0_196 ).

fof(c_0_483_484,axiom,
    ! [X30,X28,X14,X29,X3] :
      ( c_List_Ofilter(X29,X30,X3) != c_List_Olist_OCons(X14,X28,X3)
      | hBOOL(hAPP(X29,X14)) ),
    c_0_197 ).

fof(c_0_484_485,axiom,
    ! [X19,X20,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)) != X19
      | c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    c_0_198 ).

fof(c_0_485_486,plain,
    ! [X19,X20,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)) = X19
      | ~ c_lessequals(X20,X19,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_486_487,plain,
    ! [X19,X20,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)) = X20
      | ~ c_lessequals(X19,X20,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_487_488,plain,
    ! [X14,X50,X29,X3] :
      ( hBOOL(hAPP(X50,X14))
      | ~ hBOOL(hAPP(X29,X14))
      | ~ c_lessequals(X29,X50,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_488_489,plain,
    ! [X14,X50,X29,X3] :
      ( hBOOL(hAPP(X50,X14))
      | ~ c_lessequals(X29,X50,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X29,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_489_490,plain,
    ! [X14,X29,X3] :
      ( hBOOL(hAPP(X29,X14))
      | ~ c_in(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_490_491,plain,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_491_492,plain,
    ! [X1,X2,X16] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_492_493,plain,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Event_Oused(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Event_Oused(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_493_494,plain,
    ! [X1,X2,X16] :
      ( c_in(X2,c_Event_Oused(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Event_Oused(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_494_495,plain,
    ! [X1,X2,X16] :
      ( c_in(X1,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oparts(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_495_496,plain,
    ! [X1,X2,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X1),c_Message_Oparts(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_496_497,plain,
    ! [X2,X17,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X17,X2),c_Message_Oparts(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_497_498,axiom,
    ! [X19,X20,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X19 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_211 ).

fof(c_0_498_499,axiom,
    ! [X19,X20,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X20 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_212 ).

fof(c_0_499_500,axiom,
    ! [X36,X14,X3] :
      ( c_Set_Oinsert(X14,X36,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_in(X14,X36,X3) ),
    c_0_213 ).

fof(c_0_500_501,plain,
    ! [X34,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X14 = X34
      | ~ c_lessequals(X34,X14,X3)
      | ~ c_lessequals(X14,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_501_502,plain,
    ! [X34,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X14 = X34
      | ~ c_lessequals(X34,X14,X3)
      | ~ c_lessequals(X14,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_502_503,plain,
    ! [X34,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X14 = X34
      | ~ c_lessequals(X14,X34,X3)
      | ~ c_lessequals(X34,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_503_504,plain,
    ! [X28,X14,X3] :
      ( c_List_Omember(X14,X28,X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_504_505,plain,
    ! [X28,X14,X3] :
      ( c_List_OListMem(X14,X28,X3)
      | ~ c_in(X14,c_List_Oset(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_505_506,plain,
    ! [X45,X46,X14,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X14,X14,X3) != c_HOL_Ominus__class_Ominus(X46,X45,X3)
      | X46 = X45 ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_506_507,plain,
    ! [X34,X36,X14,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X36,X34,X3) != c_HOL_Ominus__class_Ominus(X14,X14,X3)
      | X36 = X34 ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_507_508,plain,
    ! [X18,X20] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X20)),c_Event_Oknows(c_Message_Oagent_OSpy,X18),tc_Message_Omsg)
      | ~ c_in(X20,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_508_509,axiom,
    ! [X34,X14,X33,X56,X3] :
      ( c_List_Oreplicate(X56,X14,X3) != c_List_Oreplicate(X33,X34,X3)
      | X56 = X33 ),
    c_0_222 ).

fof(c_0_509_510,axiom,
    ! [X47,X48,X49,X27,X3] :
      ( c_List_Olist_OCons(X27,X48,X3) != c_List_Olist_OCons(X49,X47,X3)
      | X27 = X49 ),
    c_0_223 ).

fof(c_0_510_511,axiom,
    ! [X47,X48,X49,X27,X3] :
      ( c_List_Olist_OCons(X27,X48,X3) != c_List_Olist_OCons(X49,X47,X3)
      | X48 = X47 ),
    c_0_224 ).

fof(c_0_511_512,axiom,
    ! [X12,X13,X21,X22,X23,X24] :
      ( c_Event_Oevent_OSays(X24,X22,X13) != c_Event_Oevent_OSays(X23,X21,X12)
      | X24 = X23 ),
    c_0_225 ).

fof(c_0_512_513,axiom,
    ! [X12,X13,X21,X22,X23,X24] :
      ( c_Event_Oevent_OSays(X24,X22,X13) != c_Event_Oevent_OSays(X23,X21,X12)
      | X22 = X21 ),
    c_0_226 ).

fof(c_0_513_514,axiom,
    ! [X12,X13,X21,X22,X23,X24] :
      ( c_Event_Oevent_OSays(X24,X22,X13) != c_Event_Oevent_OSays(X23,X21,X12)
      | X13 = X12 ),
    c_0_227 ).

fof(c_0_514_515,plain,
    ! [X2,X16] :
      ( c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X16,X2),X16,tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_515_516,plain,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(c_Message_Oanalz(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_516_517,plain,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_517_518,plain,
    ! [X18,X2,X19] :
      ( c_in(X2,c_Event_Oused(X18),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(c_Event_OinitState(X19)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_518_519,plain,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(c_Message_Oparts(X16)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_519_520,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_520_521,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X34,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_521_522,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X34,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_522_523,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_523_524,plain,
    ! [X28,X14,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_List_Omember(X14,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_524_525,plain,
    ! [X28,X14,X3] :
      ( c_in(X14,c_List_Oset(X28,X3),X3)
      | ~ c_List_OListMem(X14,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_525_526,plain,
    ! [X17,X16] :
      ( c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),c_Message_Osynth(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_526_527,plain,
    ! [X17,X16] :
      ( c_in(c_Message_Omsg_OKey(X17),c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X17),X16,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_527_528,plain,
    ! [X25,X16] :
      ( ~ c_in(X25,c_Message_Oanalz(X16),tc_Message_Omsg)
      | c_in(X25,c_Message_Oparts(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_528_529,plain,
    ! [X25,X16] :
      ( c_in(X25,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X25,c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_529_530,plain,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_530_531,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) != X34
      | c_lessequals(X14,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_531_532,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) = X14
      | ~ c_lessequals(X34,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_532_533,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) = X34
      | ~ c_lessequals(X14,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_533_534,plain,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oanalz(X16),tc_Message_Omsg)
      | ~ c_in(X2,X16,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_534_535,plain,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Osynth(X16),tc_Message_Omsg)
      | ~ c_in(X2,X16,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_535_536,plain,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X2,X16,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_536_537,plain,
    ! [X27,X20,X3] :
      ( c_Set_Oinsert(X27,X20,X3) = X20
      | ~ c_in(X27,X20,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_537_538,axiom,
    ! [X28,X14,X3] :
      ( c_List_OremoveAll(X14,X28,X3) = X28
      | c_in(X14,c_List_Oset(X28,X3),X3) ),
    c_0_251 ).

fof(c_0_538_539,plain,
    ! [X34,X14,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X34,X14,X3)
      | c_lessequals(X14,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_539_540,plain,
    ! [X14,X15,X3] :
      ( hBOOL(hAPP(X15,X14))
      | ~ c_in(X14,X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_540_541,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) = c_Lattices_Oupper__semilattice__class_Osup(X34,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_541_542,plain,
    ! [X34,X14,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X34,X3) = c_Lattices_Oupper__semilattice__class_Osup(X34,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_542_543,plain,
    ! [X19,X20,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X20,X19,X3) != c_Orderings_Obot__class_Obot(X3)
      | X20 = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_543_544,plain,
    ! [X19,X20,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X20,X19,X3) != c_Orderings_Obot__class_Obot(X3)
      | X19 = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_544_545,plain,
    ! [X14,X15,X3] :
      ( c_in(X14,X15,X3)
      | ~ hBOOL(hAPP(X15,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_545_546,plain,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_546_547,plain,
    ! [X14,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,c_Orderings_Obot__class_Obot(X3),X3) = X14 ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_547_548,plain,
    ! [X14,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X3),X14,X3) = X14 ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_548_549,plain,
    ! [X14,X3] :
      ( ~ class_Orderings_Obot(X3)
      | c_lessequals(c_Orderings_Obot__class_Obot(X3),X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_549_550,plain,
    ! [X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,X14,X3) = X14 ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_550_551,plain,
    ! [X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X14,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_551_552,plain,
    ! [X14,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X14,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_552_553,axiom,
    ! [X25,X38,X57,X20] :
      ( c_Public_OpublicKey(X38,X20) != c_Public_OpublicKey(X25,X57)
      | X38 = X25 ),
    c_0_266 ).

fof(c_0_553_554,axiom,
    ! [X25,X38,X57,X20] :
      ( c_Public_OpublicKey(X38,X20) != c_Public_OpublicKey(X25,X57)
      | X20 = X57 ),
    c_0_267 ).

fof(c_0_554_555,axiom,
    ! [X12,X13,X53,X54] :
      ( c_Event_Oevent_OGets(X54,X13) != c_Event_Oevent_OGets(X53,X12)
      | X13 = X12 ),
    c_0_268 ).

fof(c_0_555_556,axiom,
    ! [X12,X13,X53,X54] :
      ( c_Event_Oevent_OGets(X54,X13) != c_Event_Oevent_OGets(X53,X12)
      | X54 = X53 ),
    c_0_269 ).

fof(c_0_556_557,axiom,
    ! [X12,X13,X53,X54] :
      ( c_Event_Oevent_ONotes(X54,X13) != c_Event_Oevent_ONotes(X53,X12)
      | X13 = X12 ),
    c_0_270 ).

fof(c_0_557_558,axiom,
    ! [X12,X13,X53,X54] :
      ( c_Event_Oevent_ONotes(X54,X13) != c_Event_Oevent_ONotes(X53,X12)
      | X54 = X53 ),
    c_0_271 ).

fof(c_0_558_559,axiom,
    ! [X10,X11,X12,X13] :
      ( c_Message_Omsg_OCrypt(X11,X13) != c_Message_Omsg_OCrypt(X10,X12)
      | X11 = X10 ),
    c_0_272 ).

fof(c_0_559_560,axiom,
    ! [X10,X11,X12,X13] :
      ( c_Message_Omsg_OCrypt(X11,X13) != c_Message_Omsg_OCrypt(X10,X12)
      | X13 = X12 ),
    c_0_273 ).

fof(c_0_560_561,axiom,
    ! [X6,X7,X8,X9] :
      ( c_Message_Omsg_OMPair(X9,X7) != c_Message_Omsg_OMPair(X8,X6)
      | X9 = X8 ),
    c_0_274 ).

fof(c_0_561_562,axiom,
    ! [X6,X7,X8,X9] :
      ( c_Message_Omsg_OMPair(X9,X7) != c_Message_Omsg_OMPair(X8,X6)
      | X7 = X6 ),
    c_0_275 ).

fof(c_0_562_563,plain,
    ! [X4,X5] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_563_564,plain,
    ! [X4,X5] :
      ( class_Lattices_Obounded__lattice(tc_fun(X4,X5))
      | ~ class_Lattices_Obounded__lattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_564_565,plain,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_565_566,plain,
    ! [X4,X5] :
      ( class_Lattices_Olattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_566_567,plain,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_567_568,plain,
    ! [X4,X5] :
      ( class_Orderings_Obot(tc_fun(X4,X5))
      | ~ class_Orderings_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_568_569,plain,
    ! [X4,X5] :
      ( class_HOL_Oord(tc_fun(X4,X5))
      | ~ class_HOL_Oord(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_569_570,axiom,
    ! [X59,X17] :
      ( c_Message_OinvKey(X17) != c_Message_OinvKey(X59)
      | X17 = X59 ),
    c_0_283 ).

fof(c_0_570_571,axiom,
    ! [X34,X14] :
      ( c_Public_OshrK(X14) != c_Public_OshrK(X34)
      | X14 = X34 ),
    c_0_284 ).

fof(c_0_571_572,axiom,
    ! [X10,X11] :
      ( c_Message_Omsg_OKey(X11) != c_Message_Omsg_OKey(X10)
      | X11 = X10 ),
    c_0_285 ).

fof(c_0_572_573,plain,
    ! [X33,X34,X35,X36,X37,X38] :
      ( c_Map_Omap__upds(X36,X34,X33,X35,X38,X37) = hAPP(X36,X35)
      | c_in(X35,c_List_Oset(X34,X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_286]) ).

fof(c_0_573_574,plain,
    ! [X21,X22,X23,X24] :
      ( c_in(X22,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X24,X23,X22,X21),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_OIssues(X24,X23,X22,X21) ),
    inference(variable_rename,[status(thm)],[c_0_287]) ).

fof(c_0_574_575,plain,
    ! [X21,X22,X23,X24] :
      ( c_in(c_Event_Oevent_OSays(X24,X23,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X24,X23,X22,X21)),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_NS__Shared__Mirabelle_OIssues(X24,X23,X22,X21) ),
    inference(variable_rename,[status(thm)],[c_0_288]) ).

fof(c_0_575_576,plain,
    ! [X26,X27,X28,X29,X30] :
      ( ~ c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg)
      | c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X30,X29,X28),X26,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_289])])]) ).

fof(c_0_576_577,plain,
    ! [X27,X28,X29] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X27,X28,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X29)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X29,X28,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X27,c_Message_Osynth(c_Message_Oanalz(X29)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_290]) ).

fof(c_0_577_578,plain,
    ! [X18,X19,X20] :
      ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X19,X18),c_Message_Oanalz(c_Set_Oinsert(X18,X20,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X19,X18),X20,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X19)),c_Message_Oanalz(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_291]) ).

fof(c_0_578_579,plain,
    ! [X18,X19,X20] :
      ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X19,X18),X20,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X19,X18),c_Message_Oanalz(c_Set_Oinsert(X18,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X19)),c_Message_Oanalz(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_292]) ).

fof(c_0_579_580,plain,
    ! [X26,X27,X28] :
      ( c_in(X26,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X28)),c_Message_Oparts(X28),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X27,c_Message_Osynth(c_Message_Oanalz(X28)),tc_Message_Omsg)
      | ~ c_in(X26,c_Message_Oparts(c_Set_Oinsert(X27,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_293]) ).

fof(c_0_580_581,plain,
    ! [X43,X44,X45,X46] :
      ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X46,X44,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X45,X43,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X44),c_Message_Oanalz(X43),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X46),c_Message_Oanalz(X45),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_294]) ).

fof(c_0_581_582,plain,
    ! [X40,X41,X42,X43,X44,X45] :
      ( c_List_Omap(X43,X40,X44,X45) != c_List_Omap(X42,X40,X44,X45)
      | hAPP(X43,X41) = hAPP(X42,X41)
      | ~ c_in(X41,c_List_Oset(X40,X44),X44) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_295])])]) ).

fof(c_0_582_583,plain,
    ! [X26,X27,X28,X29] :
      ( ~ c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg)
      | c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X29,X28),X26,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_296])])]) ).

fof(c_0_583_584,plain,
    ! [X26,X27,X28,X29] :
      ( ~ c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg)
      | c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X29,X28),X26,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_297])])]) ).

fof(c_0_584_585,plain,
    ! [X27,X28,X29,X30] :
      ( c_in(X27,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X30,X29,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X28,c_Message_Oparts(X29),tc_Message_Omsg)
      | ~ c_in(X27,c_Message_Oparts(c_Set_Oinsert(X28,X30,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_298]) ).

fof(c_0_585_586,plain,
    ! [X53,X54,X55,X56,X57] :
      ( c_Set_Oinsert(X56,c_Set_Oinsert(X55,c_Orderings_Obot__class_Obot(tc_fun(X57,tc_bool)),X57),X57) != c_Set_Oinsert(X54,c_Set_Oinsert(X53,c_Orderings_Obot__class_Obot(tc_fun(X57,tc_bool)),X57),X57)
      | X56 = X53
      | X56 = X54 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_299])])]) ).

fof(c_0_586_587,plain,
    ! [X53,X54,X55,X56,X57] :
      ( c_Set_Oinsert(X56,c_Set_Oinsert(X55,c_Orderings_Obot__class_Obot(tc_fun(X57,tc_bool)),X57),X57) != c_Set_Oinsert(X54,c_Set_Oinsert(X53,c_Orderings_Obot__class_Obot(tc_fun(X57,tc_bool)),X57),X57)
      | X55 = X54
      | X56 = X54 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_300])])]) ).

fof(c_0_587_588,plain,
    ! [X53,X54,X55,X56,X57] :
      ( c_Set_Oinsert(X56,c_Set_Oinsert(X55,c_Orderings_Obot__class_Obot(tc_fun(X57,tc_bool)),X57),X57) != c_Set_Oinsert(X54,c_Set_Oinsert(X53,c_Orderings_Obot__class_Obot(tc_fun(X57,tc_bool)),X57),X57)
      | X56 = X53
      | X55 = X53 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_301])])]) ).

fof(c_0_588_589,plain,
    ! [X53,X54,X55,X56,X57] :
      ( c_Set_Oinsert(X56,c_Set_Oinsert(X55,c_Orderings_Obot__class_Obot(tc_fun(X57,tc_bool)),X57),X57) != c_Set_Oinsert(X54,c_Set_Oinsert(X53,c_Orderings_Obot__class_Obot(tc_fun(X57,tc_bool)),X57),X57)
      | X55 = X54
      | X55 = X53 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_302])])]) ).

fof(c_0_589_590,plain,
    ! [X21,X22,X23] :
      ( c_in(X22,c_Event_OinitState(X23),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OGets(X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(X23,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X23,X22,X21),X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent)
      | X23 = c_Message_Oagent_OSpy
      | ~ c_in(X22,c_Event_Oknows(X23,X21),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_303]) ).

fof(c_0_590_591,plain,
    ! [X41,X42,X43] :
      ( c_in(X41,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X43)),c_Message_Oparts(X43),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X42,c_Message_Osynth(c_Message_Oanalz(X43)),tc_Message_Omsg)
      | ~ c_in(X41,c_Message_Oparts(c_Set_Oinsert(X42,X43,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_304]) ).

fof(c_0_591_592,plain,
    ! [X17,X18] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X17,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(X18)),c_Message_Oparts(X18),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X17,c_Message_Osynth(c_Message_Oanalz(X18)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_305]) ).

fof(c_0_592_593,plain,
    ! [X27,X28,X29,X30] :
      ( c_in(c_Message_Omsg_OKey(X28),c_Message_Oanalz(X30),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X28),c_Message_Oanalz(c_Set_Oinsert(X27,X30,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_lessequals(X29,X30,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X27,c_Message_Osynth(c_Message_Oanalz(X29)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_306]) ).

fof(c_0_593_594,plain,
    ! [X36,X37,X38,X39,X40] :
      ( ~ hBOOL(hAPP(X39,X36))
      | ~ c_in(X36,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__iff__1__1(X39,X37,X40),X40),X40)
      | ~ hBOOL(hAPP(X39,X38))
      | ~ c_in(X38,c_List_Oset(X37,X40),X40) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_307])])]) ).

fof(c_0_594_595,plain,
    ! [X31,X32,X33,X34,X35] :
      ( ~ hBOOL(hAPP(X34,X31))
      | ~ c_in(X31,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__1__1(X34,X32,X35),X35),X35)
      | ~ hBOOL(hAPP(X34,X33))
      | ~ c_in(X33,c_List_Oset(X32,X35),X35) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_308])])]) ).

fof(c_0_595_596,plain,
    ! [X36,X37,X38,X39,X40] :
      ( ~ hBOOL(hAPP(X39,X36))
      | ~ c_in(X36,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__iff__1__3(X39,X37,X40),X40),X40)
      | ~ hBOOL(hAPP(X39,X38))
      | ~ c_in(X38,c_List_Oset(X37,X40),X40) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_309])])]) ).

fof(c_0_596_597,plain,
    ! [X37,X38,X39,X40,X41] :
      ( ~ hBOOL(hAPP(X40,X38))
      | ~ c_in(X38,c_List_Oset(c_List_Osko__List__Xsplit__list__last__propE__1__3(X40,X37,X41),X41),X41)
      | ~ hBOOL(hAPP(X40,X39))
      | ~ c_in(X39,c_List_Oset(X37,X41),X41) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_310])])]) ).

fof(c_0_597_598,plain,
    ! [X31,X32,X33,X34,X35] :
      ( ~ hBOOL(hAPP(X34,X31))
      | ~ c_in(X31,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__1__3(X34,X32,X35),X35),X35)
      | ~ hBOOL(hAPP(X34,X33))
      | ~ c_in(X33,c_List_Oset(X32,X35),X35) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_311])])]) ).

fof(c_0_598_599,plain,
    ! [X37,X38,X39,X40,X41] :
      ( ~ hBOOL(hAPP(X40,X38))
      | ~ c_in(X38,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(X40,X37,X41),X41),X41)
      | ~ hBOOL(hAPP(X40,X39))
      | ~ c_in(X39,c_List_Oset(X37,X41),X41) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_312])])]) ).

fof(c_0_599_600,plain,
    ! [X27,X28,X29] :
      ( c_in(X27,c_Message_Oparts(X28),tc_Message_Omsg)
      | c_in(X27,c_Message_Oparts(X29),tc_Message_Omsg)
      | ~ c_in(X27,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X29,X28,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_313])])]) ).

fof(c_0_600_601,plain,
    ! [X17,X18] :
      ( c_in(X17,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(X18,X17),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X17,c_Message_Oparts(X18),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_314]) ).

fof(c_0_601_602,plain,
    ! [X45,X46,X47,X48,X49] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X48,X47,tc_fun(X49,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X46,X45,tc_fun(X49,tc_bool)),tc_fun(X49,tc_bool))
      | ~ c_lessequals(X47,X45,tc_fun(X49,tc_bool))
      | ~ c_lessequals(X48,X46,tc_fun(X49,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_315]) ).

fof(c_0_602_603,plain,
    ! [X19,X20] :
      ( c_in(X20,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(X20,X19),X20),c_List_Oset(X19,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(X20,X19),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(X20,X19),X20),c_List_Oset(X19,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X20,c_Event_Oknows(c_Message_Oagent_OSpy,X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_316]) ).

fof(c_0_603_604,plain,
    ! [X27,X28,X29,X30] :
      ( c_in(c_Message_Omsg_OKey(X28),c_Message_Oanalz(c_Set_Oinsert(X27,X30,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X28),c_Message_Oanalz(X30),tc_Message_Omsg)
      | ~ c_lessequals(X29,X30,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X27,c_Message_Osynth(c_Message_Oanalz(X29)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_317]) ).

fof(c_0_604_605,plain,
    ! [X17,X18] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X17,X18,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X18)),c_Message_Oparts(X18),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X17,c_Message_Osynth(c_Message_Oanalz(X18)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_318]) ).

fof(c_0_605_606,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xsplit__list__first__1__1(X30,X29,X31),X31),X31)
      | ~ c_in(X30,c_List_Oset(X29,X31),X31) ),
    inference(variable_rename,[status(thm)],[c_0_319]) ).

fof(c_0_606_607,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__first__1__1(X30,X29,X31),X31),X31)
      | ~ c_in(X30,c_List_Oset(X29,X31),X31) ),
    inference(variable_rename,[status(thm)],[c_0_320]) ).

fof(c_0_607_608,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__last__1__2(X30,X29,X31),X31),X31)
      | ~ c_in(X30,c_List_Oset(X29,X31),X31) ),
    inference(variable_rename,[status(thm)],[c_0_321]) ).

fof(c_0_608_609,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(X30,c_List_Oset(c_List_Osko__List__Xsplit__list__last__1__2(X30,X29,X31),X31),X31)
      | ~ c_in(X30,c_List_Oset(X29,X31),X31) ),
    inference(variable_rename,[status(thm)],[c_0_322]) ).

fof(c_0_609_610,plain,
    ! [X21,X22,X23] :
      ( X22 = c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool)),X23)
      | X22 = c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool))
      | ~ c_lessequals(X22,c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool)),X23),tc_fun(X23,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_323]) ).

fof(c_0_610_611,plain,
    ! [X21,X22,X23,X24] :
      ( hBOOL(hAPP(X22,X21))
      | hBOOL(hAPP(X23,X21))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(X24,tc_bool)),X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_324])])]) ).

fof(c_0_611_612,plain,
    ! [X59,X60,X61] :
      ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X61,X60),X59,tc_Event_Oevent))
      | ~ c_in(X60,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X59))),tc_Message_Omsg)
      | ~ c_NS__Shared__Mirabelle_Ons__sharedp(X59) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_325])])]) ).

fof(c_0_612_613,plain,
    ! [X18,X19,X20] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X19,X18),X20,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X19,X18),c_Message_Oanalz(c_Set_Oinsert(X18,X20,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X19)),c_Message_Oanalz(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_326]) ).

fof(c_0_613_614,plain,
    ! [X17,X18,X19] :
      ( c_in(X17,c_Message_Osynth(X19),tc_Message_Omsg)
      | ~ c_in(X18,c_Message_Osynth(X19),tc_Message_Omsg)
      | ~ c_in(X17,c_Message_Osynth(c_Set_Oinsert(X18,X19,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_327]) ).

fof(c_0_614_615,plain,
    ! [X17,X18,X19] :
      ( c_in(X17,c_Message_Oanalz(X19),tc_Message_Omsg)
      | ~ c_in(X18,c_Message_Oanalz(X19),tc_Message_Omsg)
      | ~ c_in(X17,c_Message_Oanalz(c_Set_Oinsert(X18,X19,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_328]) ).

fof(c_0_615_616,plain,
    ! [X19,X20] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X20,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X19),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X20,c_Event_Oused(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_329]) ).

fof(c_0_616_617,plain,
    ! [X28,X29] :
      ( c_in(c_Message_Omsg_OCrypt(v_sko__Message__Xparts__Xcases__3(X29,X28),X28),c_Message_Oparts(X29),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(v_sko__Message__Xparts__Xcases__2(X29,X28),X28),c_Message_Oparts(X29),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X28,v_sko__Message__Xparts__Xcases__1(X29,X28)),c_Message_Oparts(X29),tc_Message_Omsg)
      | c_in(X28,X29,tc_Message_Omsg)
      | ~ c_in(X28,c_Message_Oparts(X29),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_330]) ).

fof(c_0_617_618,plain,
    ! [X39,X40,X41,X42] :
      ( c_in(X41,c_List_Oset(X39,X42),X42)
      | ~ c_in(X41,c_List_Oset(c_List_Oremove1(X40,X39,X42),X42),X42)
      | X41 = X40 ),
    inference(variable_rename,[status(thm)],[c_0_331]) ).

fof(c_0_618_619,plain,
    ! [X35,X36,X37,X38] :
      ( c_in(X35,c_List_Oset(X36,X38),X38)
      | X35 = X37
      | ~ c_in(X35,c_List_Oset(c_List_Olist_OCons(X37,X36,X38),X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_332]) ).

fof(c_0_619_620,plain,
    ! [X35,X36,X37,X38] :
      ( ~ c_in(X37,c_List_Oset(c_List_Oremove1(X35,X36,X38),X38),X38)
      | c_in(X37,c_List_Oset(X36,X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_333]) ).

fof(c_0_620_621,plain,
    ! [X38,X39,X40,X41] :
      ( ~ c_in(X39,c_List_Oset(c_List_Osublist(X38,X40,X41),X41),X41)
      | c_in(X39,c_List_Oset(X38,X41),X41) ),
    inference(variable_rename,[status(thm)],[c_0_334]) ).

fof(c_0_621_622,plain,
    ! [X38,X39,X40,X41] :
      ( c_in(X39,c_List_Oset(X38,X41),X41)
      | ~ c_in(X39,c_List_Oset(c_List_Osublist(X38,X40,X41),X41),X41) ),
    inference(variable_rename,[status(thm)],[c_0_335]) ).

fof(c_0_622_623,plain,
    ! [X34,X35,X36,X37] :
      ( c_in(X35,c_List_Oset(X34,X37),X37)
      | ~ c_in(X35,c_List_Oset(c_List_Otake(X36,X34,X37),X37),X37) ),
    inference(variable_rename,[status(thm)],[c_0_336]) ).

fof(c_0_623_624,plain,
    ! [X34,X35,X36,X37] :
      ( c_in(X35,c_List_Oset(X34,X37),X37)
      | ~ c_in(X35,c_List_Oset(c_List_Odrop(X36,X34,X37),X37),X37) ),
    inference(variable_rename,[status(thm)],[c_0_337]) ).

fof(c_0_624_625,plain,
    ! [X30,X31,X32,X33] :
      ( c_in(X31,c_List_Oset(X30,X33),X33)
      | ~ c_in(X31,c_List_Oset(c_List_OtakeWhile(X32,X30,X33),X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_338]) ).

fof(c_0_625_626,plain,
    ! [X27,X28,X29] :
      ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X27,X28,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X29),c_Message_Oparts(X28),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X27,X29,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_339]) ).

fof(c_0_626_627,plain,
    ! [X30,X31,X32,X33] :
      ( hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(c_List_OtakeWhile(X32,X30,X33),X33),X33) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_340])])]) ).

fof(c_0_627_628,plain,
    ! [X45,X46,X47,X48] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X47,X46,tc_fun(X48,tc_bool)),X45,tc_fun(X48,tc_bool))
      | ~ c_lessequals(X46,X45,tc_fun(X48,tc_bool))
      | ~ c_lessequals(X47,X45,tc_fun(X48,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_341]) ).

fof(c_0_628_629,plain,
    ! [X45,X46,X47,X48] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X47,X46,tc_fun(X48,tc_bool)),X45,tc_fun(X48,tc_bool))
      | ~ c_lessequals(X46,X45,tc_fun(X48,tc_bool))
      | ~ c_lessequals(X47,X45,tc_fun(X48,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_342]) ).

fof(c_0_629_630,plain,
    ! [X35,X36,X37,X38] :
      ( X36 = X35
      | ~ c_in(X36,c_List_Oset(c_List_Oreplicate(X37,X35,X38),X38),X38) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_343])])]) ).

fof(c_0_630_631,plain,
    ! [X18,X19,X20] :
      ( c_in(X18,c_Message_Osynth(c_Message_Oanalz(X20)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X19,X18),c_Message_Osynth(c_Message_Oanalz(X20)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X19)),c_Message_Oanalz(X20),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X19),c_Message_Oanalz(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_344]) ).

fof(c_0_631_632,plain,
    ! [X27,X28,X29] :
      ( c_in(X27,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X29,X28,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X27,c_Message_Oanalz(X28),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_345])])]) ).

fof(c_0_632_633,plain,
    ! [X45,X46,X47,X48] :
      ( c_lessequals(X47,X45,tc_fun(X48,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X47,X46,tc_fun(X48,tc_bool)),X45,tc_fun(X48,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_346]) ).

fof(c_0_633_634,plain,
    ! [X45,X46,X47,X48] :
      ( c_lessequals(X46,X45,tc_fun(X48,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X47,X46,tc_fun(X48,tc_bool)),X45,tc_fun(X48,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_347]) ).

fof(c_0_634_635,plain,
    ! [X26,X27,X28,X29] :
      ( c_in(X26,X27,X29)
      | c_in(X26,X28,X29)
      | ~ c_in(X26,c_Lattices_Oupper__semilattice__class_Osup(X28,X27,tc_fun(X29,tc_bool)),X29) ),
    inference(variable_rename,[status(thm)],[c_0_348]) ).

fof(c_0_635_636,plain,
    ! [X18,X19,X20] :
      ( c_in(c_Message_Omsg_OCrypt(X19,X18),c_Message_Osynth(c_Message_Oanalz(X20)),tc_Message_Omsg)
      | ~ c_in(X18,c_Message_Osynth(c_Message_Oanalz(X20)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X19)),c_Message_Oanalz(X20),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X19),c_Message_Oanalz(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_349]) ).

fof(c_0_636_637,plain,
    ! [X39,X40,X41,X42] :
      ( c_in(X41,c_List_Oset(c_List_Oremove1(X40,X39,X42),X42),X42)
      | ~ c_in(X41,c_List_Oset(X39,X42),X42)
      | X41 = X40 ),
    inference(variable_rename,[status(thm)],[c_0_350]) ).

fof(c_0_637_638,plain,
    ! [X21,X22,X23,X24] :
      ( c_lessequals(X23,X22,tc_fun(X24,tc_bool))
      | c_in(X21,X23,X24)
      | ~ c_lessequals(X23,c_Set_Oinsert(X21,X22,X24),tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_351]) ).

fof(c_0_638_639,plain,
    ! [X21,X22,X23,X24] :
      ( c_lessequals(X23,X22,tc_fun(X24,tc_bool))
      | ~ c_lessequals(X23,c_Set_Oinsert(X21,X22,X24),tc_fun(X24,tc_bool))
      | c_in(X21,X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_352]) ).

fof(c_0_639_640,plain,
    ! [X39,X40,X41] :
      ( X39 = X40
      | ~ c_in(X39,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X41,tc_bool)),X41),X41) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_353])])]) ).

fof(c_0_640_641,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(hAPP(X38,c_List_Osko__List__Xsplit__list__last__prop__iff__1__2(X38,X36,X39)))
      | ~ hBOOL(hAPP(X38,X37))
      | ~ c_in(X37,c_List_Oset(X36,X39),X39) ),
    inference(variable_rename,[status(thm)],[c_0_354]) ).

fof(c_0_641_642,plain,
    ! [X30,X31,X32,X33] :
      ( hBOOL(hAPP(X32,c_List_Osko__List__Xsplit__list__first__prop__1__2(X32,X30,X33)))
      | ~ hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_355]) ).

fof(c_0_642_643,plain,
    ! [X30,X31,X32,X33] :
      ( hBOOL(hAPP(X32,c_List_Osko__List__Xsplit__list__last__propE__1__2(X32,X30,X33)))
      | ~ hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_356]) ).

fof(c_0_643_644,plain,
    ! [X30,X31,X32,X33] :
      ( hBOOL(hAPP(X32,c_List_Osko__List__Xsplit__list__first__propE__1__2(X32,X30,X33)))
      | ~ hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_357]) ).

fof(c_0_644_645,plain,
    ! [X30,X31,X32,X33] :
      ( hBOOL(hAPP(X32,c_List_Osko__List__Xsplit__list__propE__1__2(X32,X30,X33)))
      | ~ hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_358]) ).

fof(c_0_645_646,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(hAPP(X38,c_List_Osko__List__Xsplit__list__first__prop__iff__1__2(X38,X36,X39)))
      | ~ hBOOL(hAPP(X38,X37))
      | ~ c_in(X37,c_List_Oset(X36,X39),X39) ),
    inference(variable_rename,[status(thm)],[c_0_359]) ).

fof(c_0_646_647,plain,
    ! [X30,X31,X32,X33] :
      ( hBOOL(hAPP(X32,c_List_Osko__List__Xsplit__list__last__prop__1__2(X32,X30,X33)))
      | ~ hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_360]) ).

fof(c_0_647_648,plain,
    ! [X30,X31,X32,X33] :
      ( hBOOL(hAPP(X32,c_List_Osko__List__Xsplit__list__prop__1__2(X32,X30,X33)))
      | ~ hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_361]) ).

fof(c_0_648_649,plain,
    ! [X35,X36,X37,X38] :
      ( hBOOL(hAPP(X37,X36))
      | X35 = X36
      | ~ hBOOL(hAPP(c_Set_Oinsert(X35,X37,X38),X36)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_362])])]) ).

fof(c_0_649_650,plain,
    ! [X45,X46,X47,X48] :
      ( c_lessequals(c_Set_Oinsert(X45,X47,X48),c_Set_Oinsert(X45,X46,X48),tc_fun(X48,tc_bool))
      | ~ c_lessequals(X47,X46,tc_fun(X48,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_363]) ).

fof(c_0_650_651,plain,
    ! [X21,X22,X23] :
      ( c_in(X22,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X21)),tc_Message_Omsg)
      | ~ c_in(X23,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X23),X22),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X21)),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_364])])]) ).

fof(c_0_651_652,plain,
    ! [X21,X22,X23,X24] :
      ( c_lessequals(c_Set_Oinsert(X21,X23,X24),X22,tc_fun(X24,tc_bool))
      | ~ c_lessequals(X23,X22,tc_fun(X24,tc_bool))
      | ~ c_in(X21,X22,X24) ),
    inference(variable_rename,[status(thm)],[c_0_365]) ).

fof(c_0_652_653,plain,
    ! [X21,X22,X23,X24] :
      ( c_in(X22,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X21)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X24,X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_366])])]) ).

fof(c_0_653_654,plain,
    ! [X21,X22,X23,X24] :
      ( c_in(X22,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X21)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X24,X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_367])])]) ).

fof(c_0_654_655,plain,
    ! [X21,X22,X23,X24] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(X24,tc_bool)),X21))
      | ~ hBOOL(hAPP(X22,X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_368])])]) ).

fof(c_0_655_656,plain,
    ! [X21,X22,X23,X24] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(X24,tc_bool)),X21))
      | ~ hBOOL(hAPP(X23,X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_369])])]) ).

fof(c_0_656_657,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_Ofilter(X32,c_List_Olist_OCons(X31,X30,X33),X33) = c_List_Olist_OCons(X31,c_List_Ofilter(X32,X30,X33),X33)
      | ~ hBOOL(hAPP(X32,X31)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_370])])]) ).

fof(c_0_657_658,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_OtakeWhile(X32,c_List_Olist_OCons(X31,X30,X33),X33) = c_List_Olist_OCons(X31,c_List_OtakeWhile(X32,X30,X33),X33)
      | ~ hBOOL(hAPP(X32,X31)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_371])])]) ).

fof(c_0_658_659,plain,
    ! [X21,X22,X23,X24] :
      ( c_lessequals(X23,X22,tc_fun(X24,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X21,X23,X24),X22,tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_372]) ).

fof(c_0_659_660,plain,
    ! [X21,X22,X23,X24] :
      ( c_in(X22,c_Event_Oknows(X24,X21),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X24,X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(variable_rename,[status(thm)],[c_0_373]) ).

fof(c_0_660_661,plain,
    ! [X21,X22,X23,X24] :
      ( c_in(X22,c_Event_Oknows(c_Message_Oagent_OSpy,X21),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X24,X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_374])])]) ).

fof(c_0_661_662,plain,
    ! [X21,X22,X23,X24] :
      ( c_lessequals(X23,c_Set_Oinsert(X21,X22,X24),tc_fun(X24,tc_bool))
      | ~ c_lessequals(X23,X22,tc_fun(X24,tc_bool))
      | c_in(X21,X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_375]) ).

fof(c_0_662_663,plain,
    ! [X21,X22,X23,X24] :
      ( c_lessequals(X23,c_Set_Oinsert(X21,X22,X24),tc_fun(X24,tc_bool))
      | ~ c_lessequals(X23,X22,tc_fun(X24,tc_bool))
      | c_in(X21,X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_376]) ).

fof(c_0_663_664,plain,
    ! [X28,X29,X30] :
      ( c_in(X28,c_Message_Oanalz(c_Set_Oinsert(X29,X30,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X28,c_Message_Oanalz(X30),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_377]) ).

fof(c_0_664_665,plain,
    ! [X28,X29,X30] :
      ( c_in(X28,c_Message_Oparts(c_Set_Oinsert(X29,X30,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X28,c_Message_Oparts(X30),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_378]) ).

fof(c_0_665_666,plain,
    ! [X21,X22,X23,X24] :
      ( c_in(X22,c_Event_Oused(X21),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X24,X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_379])])]) ).

fof(c_0_666_667,plain,
    ! [X21,X22,X23,X24] :
      ( c_in(X21,X22,X24)
      | ~ c_lessequals(c_Set_Oinsert(X21,X23,X24),X22,tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_380]) ).

fof(c_0_667_668,plain,
    ! [X52,X53,X54,X55] :
      ( ~ class_Lattices_Oupper__semilattice(X55)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X54,X53,X55),X52,X55)
      | ~ c_lessequals(X53,X52,X55)
      | ~ c_lessequals(X54,X52,X55) ),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_668_669,plain,
    ! [X52,X53,X54,X55] :
      ( ~ class_Lattices_Oupper__semilattice(X55)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X53,X52,X55),X54,X55)
      | ~ c_lessequals(X52,X54,X55)
      | ~ c_lessequals(X53,X54,X55) ),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_669_670,plain,
    ! [X39,X40,X41,X42] :
      ( ~ class_Lattices_Oupper__semilattice(X42)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X41,X40,X42),X39,X42)
      | ~ c_lessequals(X40,X39,X42)
      | ~ c_lessequals(X41,X39,X42) ),
    inference(variable_rename,[status(thm)],[c_0_383]) ).

fof(c_0_670_671,plain,
    ! [X17,X18] :
      ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X17,X18,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X18))
      | ~ c_in(X17,c_Message_Osynth(c_Message_Oanalz(X18)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_384]) ).

fof(c_0_671_672,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_Olist__ex(X32,X30,X33)
      | hBOOL(hAPP(X32,X31))
      | ~ c_List_Olist__ex(X32,c_List_Olist_OCons(X31,X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_385]) ).

fof(c_0_672_673,plain,
    ! [X39,X40,X41] :
      ( c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X41,tc_bool)),X41) != c_Set_Oinsert(X39,c_Orderings_Obot__class_Obot(tc_fun(X41,tc_bool)),X41)
      | X40 = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_386])])]) ).

fof(c_0_673_674,plain,
    ! [X21,X22,X23] :
      ( c_in(X21,c_Message_Oanalz(X22),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X23)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X23),X21),c_Message_Oanalz(X22),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_387])])]) ).

fof(c_0_674_675,plain,
    ! [X52,X53,X54,X55] :
      ( ~ class_Lattices_Olattice(X55)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X54,X53,X55),X52,X55) = c_Lattices_Oupper__semilattice__class_Osup(X54,c_Lattices_Oupper__semilattice__class_Osup(X53,X52,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_675_676,plain,
    ! [X52,X53,X54,X55] :
      ( ~ class_Lattices_Olattice(X55)
      | c_Lattices_Oupper__semilattice__class_Osup(X54,c_Lattices_Oupper__semilattice__class_Osup(X53,X52,X55),X55) = c_Lattices_Oupper__semilattice__class_Osup(X53,c_Lattices_Oupper__semilattice__class_Osup(X54,X52,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_389]) ).

fof(c_0_676_677,plain,
    ! [X52,X53,X54,X55] :
      ( ~ class_Lattices_Oupper__semilattice(X55)
      | c_Lattices_Oupper__semilattice__class_Osup(X54,c_Lattices_Oupper__semilattice__class_Osup(X53,X52,X55),X55) = c_Lattices_Oupper__semilattice__class_Osup(X53,c_Lattices_Oupper__semilattice__class_Osup(X54,X52,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_390]) ).

fof(c_0_677_678,plain,
    ! [X52,X53,X54,X55] :
      ( ~ class_Lattices_Oupper__semilattice(X55)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X54,X53,X55),X52,X55) = c_Lattices_Oupper__semilattice__class_Osup(X54,c_Lattices_Oupper__semilattice__class_Osup(X53,X52,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_391]) ).

fof(c_0_678_679,plain,
    ! [X43,X44,X45,X46] :
      ( c_Message_Oanalz(X44) != c_Message_Oanalz(X43)
      | c_Message_Oanalz(X46) != c_Message_Oanalz(X45)
      | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X46,X44,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X45,X43,tc_fun(tc_Message_Omsg,tc_bool))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_392])])]) ).

fof(c_0_679_680,plain,
    ! [X21,X22,X23] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X23,X22),X21,tc_Event_Oevent)) = c_Set_Oinsert(X22,c_Event_Oknows(c_Message_Oagent_OSpy,X21),tc_Message_Omsg)
      | ~ c_in(X23,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_393]) ).

fof(c_0_680_681,plain,
    ! [X35,X36,X37,X38] :
      ( c_List_OremoveAll(X37,c_List_Olist_OCons(X35,X36,X38),X38) = c_List_Olist_OCons(X35,c_List_OremoveAll(X37,X36,X38),X38)
      | X37 = X35 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_394])])]) ).

fof(c_0_681_682,plain,
    ! [X35,X36,X37,X38] :
      ( c_List_Oremove1(X37,c_List_Olist_OCons(X35,X36,X38),X38) = c_List_Olist_OCons(X35,c_List_Oremove1(X37,X36,X38),X38)
      | X37 = X35 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_395])])]) ).

fof(c_0_682_683,plain,
    ! [X27,X28,X29] :
      ( c_Message_Oanalz(c_Set_Oinsert(X27,X29,tc_Message_Omsg)) = c_Message_Oanalz(X29)
      | ~ c_lessequals(X28,X29,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X27,c_Message_Oanalz(X28),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_396]) ).

fof(c_0_683_684,plain,
    ! [X17,X18,X19] :
      ( c_in(c_Message_Omsg_OMPair(X18,X17),c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg)
      | ~ c_in(X17,c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg)
      | ~ c_in(X18,c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_397]) ).

fof(c_0_684_685,plain,
    ! [X18,X19,X20] :
      ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X19,X18),X20,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X19,X18),c_Message_Oanalz(X20),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X19)),c_Message_Oanalz(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_398]) ).

fof(c_0_685_686,plain,
    ! [X45,X46,X47,X48] :
      ( c_lessequals(X47,X45,tc_fun(X48,tc_bool))
      | ~ c_lessequals(X46,X45,tc_fun(X48,tc_bool))
      | ~ c_lessequals(X47,X46,tc_fun(X48,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_399]) ).

fof(c_0_686_687,plain,
    ! [X47,X48,X49,X50,X51] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | c_HOL_Ominus__class_Ominus(X50,X48,X51) != c_HOL_Ominus__class_Ominus(X49,X47,X51)
      | c_lessequals(X47,X49,X51)
      | ~ c_lessequals(X48,X50,X51) ),
    inference(variable_rename,[status(thm)],[c_0_400]) ).

fof(c_0_687_688,plain,
    ! [X47,X48,X49,X50,X51] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | c_HOL_Ominus__class_Ominus(X50,X48,X51) != c_HOL_Ominus__class_Ominus(X49,X47,X51)
      | c_lessequals(X48,X50,X51)
      | ~ c_lessequals(X47,X49,X51) ),
    inference(variable_rename,[status(thm)],[c_0_401]) ).

fof(c_0_688_689,plain,
    ! [X21,X22,X23] :
      ( c_in(X22,c_Event_Oknows(c_Message_Oagent_OSpy,X21),tc_Message_Omsg)
      | ~ c_in(X23,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Event_Oevent_ONotes(X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_402])])]) ).

fof(c_0_689_690,plain,
    ! [X52,X53,X54,X55] :
      ( ~ class_Lattices_Oupper__semilattice(X55)
      | c_lessequals(X53,X52,X55)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X54,X53,X55),X52,X55) ),
    inference(variable_rename,[status(thm)],[c_0_403]) ).

fof(c_0_690_691,plain,
    ! [X52,X53,X54,X55] :
      ( ~ class_Lattices_Oupper__semilattice(X55)
      | c_lessequals(X54,X52,X55)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X54,X53,X55),X52,X55) ),
    inference(variable_rename,[status(thm)],[c_0_404]) ).

fof(c_0_691_692,plain,
    ! [X39,X40,X41,X42] :
      ( ~ class_Lattices_Oupper__semilattice(X42)
      | c_lessequals(X40,X39,X42)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X41,X40,X42),X39,X42) ),
    inference(variable_rename,[status(thm)],[c_0_405]) ).

fof(c_0_692_693,plain,
    ! [X39,X40,X41,X42] :
      ( ~ class_Lattices_Oupper__semilattice(X42)
      | c_lessequals(X41,X39,X42)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X41,X40,X42),X39,X42) ),
    inference(variable_rename,[status(thm)],[c_0_406]) ).

fof(c_0_693_694,plain,
    ! [X18,X19,X20] :
      ( c_in(X18,c_Message_Oanalz(X20),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X19)),c_Message_Oanalz(X20),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X19,X18),c_Message_Oanalz(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_407]) ).

fof(c_0_694_695,plain,
    ! [X39,X40,X41,X42] :
      ( c_in(X40,X41,X42)
      | X40 = X39
      | ~ c_in(X40,c_Set_Oinsert(X39,X41,X42),X42) ),
    inference(variable_rename,[status(thm)],[c_0_408]) ).

fof(c_0_695_696,plain,
    ! [X35,X36,X37,X38] :
      ( c_List_Omember(X37,X35,X38)
      | X37 = X36
      | ~ c_List_Omember(X37,c_List_Olist_OCons(X36,X35,X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_409]) ).

fof(c_0_696_697,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_Olist__all(X32,X30,X33)
      | ~ c_List_Olist__all(X32,c_List_Olist_OCons(X31,X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_410]) ).

fof(c_0_697_698,plain,
    ! [X39,X40,X41,X42] :
      ( c_lessequals(X41,c_Set_Oinsert(X39,X40,X42),tc_fun(X42,tc_bool))
      | ~ c_lessequals(X41,X40,tc_fun(X42,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_411]) ).

fof(c_0_698_699,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_Olist__all(X32,c_List_Olist_OCons(X31,X30,X33),X33)
      | ~ c_List_Olist__all(X32,X30,X33)
      | ~ hBOOL(hAPP(X32,X31)) ),
    inference(variable_rename,[status(thm)],[c_0_412]) ).

fof(c_0_699_700,plain,
    ! [X26,X27,X28,X29] :
      ( c_in(X26,c_Lattices_Oupper__semilattice__class_Osup(X28,X27,tc_fun(X29,tc_bool)),X29)
      | ~ c_in(X26,X28,X29) ),
    inference(variable_rename,[status(thm)],[c_0_413]) ).

fof(c_0_700_701,plain,
    ! [X26,X27,X28,X29] :
      ( c_in(X26,c_Lattices_Oupper__semilattice__class_Osup(X28,X27,tc_fun(X29,tc_bool)),X29)
      | ~ c_in(X26,X27,X29) ),
    inference(variable_rename,[status(thm)],[c_0_414]) ).

fof(c_0_701_702,plain,
    ! [X35,X36,X37,X38] :
      ( hBOOL(hAPP(c_Set_Oinsert(X35,X37,X38),X36))
      | ~ hBOOL(hAPP(X37,X36)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_415])])]) ).

fof(c_0_702_703,plain,
    ! [X29,X30,X31] :
      ( c_in(X30,c_List_Oset(X29,X31),X31)
      | ~ c_in(X30,c_List_Oset(c_List_Obutlast(X29,X31),X31),X31) ),
    inference(variable_rename,[status(thm)],[c_0_416]) ).

fof(c_0_703_704,plain,
    ! [X30,X31,X32,X33] :
      ( hBOOL(hAPP(X32,X31))
      | ~ c_List_Olist__all(X32,c_List_Olist_OCons(X31,X30,X33),X33) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_417])])]) ).

fof(c_0_704_705,plain,
    ! [X21,X22,X23,X24] :
      ( c_Set_Oinsert(X21,X23,X24) != c_Set_Oinsert(X21,X22,X24)
      | c_in(X21,X22,X24)
      | c_in(X21,X23,X24)
      | X23 = X22 ),
    inference(variable_rename,[status(thm)],[c_0_418]) ).

fof(c_0_705_706,plain,
    ! [X27,X28,X29] :
      ( c_in(X27,c_Message_Oanalz(X28),tc_Message_Omsg)
      | ~ c_lessequals(X29,c_Message_Oanalz(X28),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X27,c_Message_Oanalz(X29),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_419])])]) ).

fof(c_0_706_707,plain,
    ! [X27,X28,X29] :
      ( c_in(X27,c_Message_Osynth(X28),tc_Message_Omsg)
      | ~ c_lessequals(X29,c_Message_Osynth(X28),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X27,c_Message_Osynth(X29),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_420])])]) ).

fof(c_0_707_708,plain,
    ! [X27,X28,X29] :
      ( c_in(X27,c_Message_Oparts(X28),tc_Message_Omsg)
      | ~ c_lessequals(X29,c_Message_Oparts(X28),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_in(X27,c_Message_Oparts(X29),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_421])])]) ).

fof(c_0_708_709,plain,
    ! [X39,X40,X41] :
      ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X40,X41))),c_Event_Oknows(c_Message_Oagent_OSpy,X39),tc_Message_Omsg)
      | ~ c_in(X41,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_422]) ).

fof(c_0_709_710,plain,
    ! [X18,X19,X20] :
      ( c_in(c_Message_Omsg_OCrypt(X19,X18),X20,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X19,X18),c_Message_Osynth(X20),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X19),X20,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_423]) ).

fof(c_0_710_711,plain,
    ! [X18,X19,X20] :
      ( c_in(c_Message_Omsg_OKey(X19),X20,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X19,X18),X20,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X19,X18),c_Message_Osynth(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_424]) ).

fof(c_0_711_712,plain,
    ! [X17,X18,X19] :
      ( c_in(X17,c_Message_Osynth(X19),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X18,X17),X19,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X18,X17),c_Message_Osynth(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_425]) ).

fof(c_0_712_713,plain,
    ! [X17,X18,X19] :
      ( c_in(X18,c_Message_Osynth(X19),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X18,X17),X19,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X18,X17),c_Message_Osynth(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_426]) ).

fof(c_0_713_714,plain,
    ! [X18,X19,X20] :
      ( c_in(X18,c_Message_Osynth(X20),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X19,X18),X20,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X19,X18),c_Message_Osynth(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_427]) ).

fof(c_0_714_715,plain,
    ! [X18,X19,X20] :
      ( c_in(c_Message_Omsg_OCrypt(X19,X18),c_Message_Osynth(X20),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X19),X20,tc_Message_Omsg)
      | ~ c_in(X18,c_Message_Osynth(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_428]) ).

fof(c_0_715_716,plain,
    ! [X17,X18,X19] :
      ( c_in(c_Message_Omsg_OMPair(X18,X17),c_Message_Osynth(X19),tc_Message_Omsg)
      | ~ c_in(X17,c_Message_Osynth(X19),tc_Message_Omsg)
      | ~ c_in(X18,c_Message_Osynth(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_429]) ).

fof(c_0_716_717,plain,
    ! [X18,X19,X20] :
      ( c_in(c_Message_Omsg_OCrypt(X19,X18),c_Message_Osynth(X20),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X19,X18),X20,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X19),X20,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_430]) ).

fof(c_0_717_718,plain,
    ! [X34,X35,X36,X37] :
      ( c_List_Ofilter(X36,c_List_Oreplicate(X35,X34,X37),X37) = c_List_Oreplicate(X35,X34,X37)
      | ~ hBOOL(hAPP(X36,X34)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_431])])]) ).

fof(c_0_718_719,plain,
    ! [X56,X57,X58,X59] :
      ( c_in(X56,X57,X59)
      | ~ c_in(X56,X58,X59)
      | ~ c_lessequals(X58,X57,tc_fun(X59,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_719_720,plain,
    ! [X21,X22,X23,X24] :
      ( c_in(X21,X22,X24)
      | ~ c_lessequals(X23,X22,tc_fun(X24,tc_bool))
      | ~ c_in(X21,X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_433]) ).

fof(c_0_720_721,plain,
    ! [X26,X27,X28,X29] :
      ( c_in(X26,X27,X29)
      | ~ c_in(X26,X28,X29)
      | ~ c_lessequals(X28,X27,tc_fun(X29,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_434]) ).

fof(c_0_721_722,plain,
    ! [X21,X22,X23,X24] :
      ( c_in(X21,X22,X24)
      | ~ c_in(X21,X23,X24)
      | ~ c_lessequals(X23,X22,tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_435]) ).

fof(c_0_722_723,plain,
    ! [X39,X40,X41,X42] :
      ( ~ class_Lattices_Oupper__semilattice(X42)
      | c_lessequals(X39,c_Lattices_Oupper__semilattice__class_Osup(X41,X40,X42),X42)
      | ~ c_lessequals(X39,X40,X42) ),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_723_724,plain,
    ! [X39,X40,X41,X42] :
      ( ~ class_Lattices_Oupper__semilattice(X42)
      | c_lessequals(X39,c_Lattices_Oupper__semilattice__class_Osup(X41,X40,X42),X42)
      | ~ c_lessequals(X39,X41,X42) ),
    inference(variable_rename,[status(thm)],[c_0_437]) ).

fof(c_0_724_725,plain,
    ! [X21,X22,X23] :
      ( c_Event_Oknows(X23,c_List_Olist_OCons(c_Event_Oevent_OGets(X23,X22),X21,tc_Event_Oevent)) = c_Set_Oinsert(X22,c_Event_Oknows(X23,X21),tc_Message_Omsg)
      | X23 = c_Message_Oagent_OSpy ),
    inference(variable_rename,[status(thm)],[c_0_438]) ).

fof(c_0_725_726,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_Olist__ex(X32,c_List_Olist_OCons(X31,X30,X33),X33)
      | ~ c_List_Olist__ex(X32,X30,X33) ),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_726_727,plain,
    ! [X35,X36,X37,X38] :
      ( c_List_OListMem(X37,c_List_Olist_OCons(X35,X36,X38),X38)
      | ~ c_List_OListMem(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_727_728,plain,
    ! [X39,X40,X41,X42] :
      ( c_in(X40,c_Set_Oinsert(X39,X41,X42),X42)
      | ~ c_in(X40,X41,X42) ),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_728_729,plain,
    ! [X39,X40,X41,X42] :
      ( c_in(X40,c_Set_Oinsert(X39,X41,X42),X42)
      | ~ c_in(X40,X41,X42) ),
    inference(variable_rename,[status(thm)],[c_0_442]) ).

fof(c_0_729_730,plain,
    ! [X35,X36,X37,X38] :
      ( c_List_Omember(X37,c_List_Olist_OCons(X36,X35,X38),X38)
      | ~ c_List_Omember(X37,X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_730_731,plain,
    ! [X21,X22,X23] :
      ( X22 = X21
      | ~ c_lessequals(X21,X22,tc_fun(X23,tc_bool))
      | ~ c_lessequals(X22,X21,tc_fun(X23,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_444])])]) ).

fof(c_0_731_732,plain,
    ! [X21,X22,X23] :
      ( X22 = X21
      | ~ c_lessequals(X21,X22,tc_fun(X23,tc_bool))
      | ~ c_lessequals(X22,X21,tc_fun(X23,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_445])])]) ).

fof(c_0_732_733,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_OremoveAll(X31,c_List_Ofilter(X32,X30,X33),X33) = c_List_Ofilter(X32,X30,X33)
      | hBOOL(hAPP(X32,X31)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_446])])]) ).

fof(c_0_733_734,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_Oremove1(X31,c_List_Ofilter(X32,X30,X33),X33) = c_List_Ofilter(X32,X30,X33)
      | hBOOL(hAPP(X32,X31)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_447])])]) ).

fof(c_0_734_735,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_Ofilter(X32,c_List_Olist_OCons(X31,X30,X33),X33) = c_List_Ofilter(X32,X30,X33)
      | hBOOL(hAPP(X32,X31)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_448])])]) ).

fof(c_0_735_736,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_OtakeWhile(X32,X30,X33) != X30
      | hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_736_737,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_Ofilter(X32,X30,X33) != X30
      | hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_737_738,plain,
    ! [X30,X31,X32,X33] :
      ( hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(X30,X33),X33)
      | ~ c_List_Olist__all(X32,X30,X33) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_451])])]) ).

fof(c_0_738_739,plain,
    ! [X29,X30,X31,X32] :
      ( hBOOL(hAPP(X31,X30))
      | ~ c_in(X30,c_List_Oset(X29,X32),X32)
      | ~ c_List_Olistsp(X31,X29,X32) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_452])])]) ).

fof(c_0_739_740,plain,
    ! [X21,X22,X23] :
      ( c_in(X22,c_Event_Oknows(X23,X21),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent)
      | X23 = c_Message_Oagent_OSpy ),
    inference(variable_rename,[status(thm)],[c_0_453]) ).

fof(c_0_740_741,plain,
    ! [X40,X41,X42,X43,X44] :
      ( ~ class_HOL_Oord(X43)
      | c_lessequals(hAPP(X42,X40),hAPP(X41,X40),X43)
      | ~ c_lessequals(X42,X41,tc_fun(X44,X43)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_454])])]) ).

fof(c_0_741_742,plain,
    ! [X21,X22,X23] :
      ( c_in(X22,c_Event_Oknows(X23,X21),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_742_743,plain,
    ! [X52,X53,X54,X55] :
      ( ~ class_Orderings_Oorder(X55)
      | c_lessequals(X52,X54,X55)
      | ~ c_lessequals(X52,X53,X55)
      | ~ c_lessequals(X53,X54,X55) ),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_743_744,plain,
    ! [X52,X53,X54,X55] :
      ( ~ class_Orderings_Opreorder(X55)
      | c_lessequals(X54,X52,X55)
      | ~ c_lessequals(X53,X52,X55)
      | ~ c_lessequals(X54,X53,X55) ),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_744_745,plain,
    ! [X21,X22,X23] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X23,X22),X21,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X21)
      | c_in(X23,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_745_746,plain,
    ! [X21,X22] :
      ( X21 = c_Orderings_Obot__class_Obot(tc_fun(X22,tc_bool))
      | ~ c_lessequals(X21,c_Orderings_Obot__class_Obot(tc_fun(X22,tc_bool)),tc_fun(X22,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_746_747,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_Olist__ex(X32,X30,X33)
      | ~ hBOOL(hAPP(X32,X31))
      | ~ c_in(X31,c_List_Oset(X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_460]) ).

fof(c_0_747_748,plain,
    ! [X42,X43,X44] :
      ( c_Message_Oanalz(X44) != c_Message_Oanalz(X43)
      | c_Message_Oanalz(c_Set_Oinsert(X42,X44,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X42,X43,tc_Message_Omsg)) ),
    inference(variable_rename,[status(thm)],[c_0_461]) ).

fof(c_0_748_749,plain,
    ! [X27,X28] :
      ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X28)),c_Message_Osynth(c_Message_Oanalz(X27)),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X28,X27,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_462]) ).

fof(c_0_749_750,plain,
    ! [X17,X18,X19] :
      ( c_in(X17,c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X18,X17),c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_463]) ).

fof(c_0_750_751,plain,
    ! [X17,X18,X19] :
      ( c_in(X18,c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X18,X17),c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_751_752,plain,
    ! [X26,X27] :
      ( c_in(X27,c_Event_Oused(X26),tc_Message_Omsg)
      | ~ c_in(X27,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_752_753,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | c_Lattices_Oupper__semilattice__class_Osup(X36,c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37),X37) = c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_753_754,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | c_Lattices_Oupper__semilattice__class_Osup(X36,c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37),X37) = c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_467]) ).

fof(c_0_754_755,plain,
    ! [X21,X22,X23] :
      ( c_in(X22,c_Event_Oused(X21),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_ONotes(X23,X22),c_List_Oset(X21,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_468])])]) ).

fof(c_0_755_756,plain,
    ! [X27,X28] :
      ( c_lessequals(X28,c_Message_Osynth(X27),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Osynth(X28),c_Message_Osynth(X27),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_756_757,plain,
    ! [X27,X28] :
      ( c_lessequals(X28,c_Message_Oparts(X27),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oparts(X28),c_Message_Oparts(X27),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_757_758,plain,
    ! [X27,X28] :
      ( c_lessequals(X28,c_Message_Oanalz(X27),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(c_Message_Oanalz(X28),c_Message_Oanalz(X27),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_758_759,plain,
    ! [X30,X31,X32] :
      ( ~ hBOOL(hAPP(X31,X30))
      | ~ c_in(X30,c_Orderings_Obot__class_Obot(tc_fun(X32,tc_bool)),X32) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_472])])]) ).

fof(c_0_759_760,plain,
    ! [X27,X28] :
      ( c_lessequals(c_Message_Osynth(X28),c_Message_Osynth(X27),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X28,c_Message_Osynth(X27),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_473]) ).

fof(c_0_760_761,plain,
    ! [X27,X28] :
      ( c_lessequals(c_Message_Oparts(X28),c_Message_Oparts(X27),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X28,c_Message_Oparts(X27),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_474]) ).

fof(c_0_761_762,plain,
    ! [X27,X28] :
      ( c_lessequals(c_Message_Oanalz(X28),c_Message_Oanalz(X27),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X28,c_Message_Oanalz(X27),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_475]) ).

fof(c_0_762_763,plain,
    ! [X30,X31,X32,X33] :
      ( c_List_Olist__ex(X32,c_List_Olist_OCons(X31,X30,X33),X33)
      | ~ hBOOL(hAPP(X32,X31)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_476])])]) ).

fof(c_0_763_764,plain,
    ! [X17,X18] :
      ( c_Message_Oanalz(c_Set_Oinsert(X17,X18,tc_Message_Omsg)) = c_Message_Oanalz(X18)
      | ~ c_in(X17,c_Message_Oanalz(X18),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_477]) ).

fof(c_0_764_765,plain,
    ! [X17,X18] :
      ( c_Message_Oparts(c_Set_Oinsert(X17,X18,tc_Message_Omsg)) = c_Message_Oparts(X18)
      | ~ c_in(X17,c_Message_Oparts(X18),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_478]) ).

fof(c_0_765_766,plain,
    ! [X27,X28] :
      ( c_lessequals(c_Message_Osynth(X28),c_Message_Osynth(X27),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X28,X27,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_479]) ).

fof(c_0_766_767,plain,
    ! [X27,X28] :
      ( c_lessequals(c_Message_Oparts(X28),c_Message_Oparts(X27),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X28,X27,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_480]) ).

fof(c_0_767_768,plain,
    ! [X27,X28] :
      ( c_lessequals(c_Message_Oanalz(X28),c_Message_Oanalz(X27),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ c_lessequals(X28,X27,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_481]) ).

fof(c_0_768_769,plain,
    ! [X31,X32,X33,X34,X35] :
      ( c_List_Olist_OCons(X33,X32,X35) != c_List_Ofilter(X34,X31,X35)
      | hBOOL(hAPP(X34,X33)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_482])])]) ).

fof(c_0_769_770,plain,
    ! [X31,X32,X33,X34,X35] :
      ( c_List_Ofilter(X34,X31,X35) != c_List_Olist_OCons(X33,X32,X35)
      | hBOOL(hAPP(X34,X33)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_483])])]) ).

fof(c_0_770,plain,
    ! [X21,X22,X23] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X22,X21,tc_fun(X23,tc_bool)) != X21
      | c_lessequals(X22,X21,tc_fun(X23,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_484]) ).

fof(c_0_771,plain,
    ! [X21,X22,X23] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X22,X21,tc_fun(X23,tc_bool)) = X21
      | ~ c_lessequals(X22,X21,tc_fun(X23,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_485]) ).

fof(c_0_772,plain,
    ! [X21,X22,X23] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X22,X21,tc_fun(X23,tc_bool)) = X22
      | ~ c_lessequals(X21,X22,tc_fun(X23,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_486]) ).

fof(c_0_773,plain,
    ! [X51,X52,X53,X54] :
      ( hBOOL(hAPP(X52,X51))
      | ~ hBOOL(hAPP(X53,X51))
      | ~ c_lessequals(X53,X52,tc_fun(X54,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_487])])]) ).

fof(c_0_774,plain,
    ! [X51,X52,X53,X54] :
      ( hBOOL(hAPP(X52,X51))
      | ~ c_lessequals(X53,X52,tc_fun(X54,tc_bool))
      | ~ hBOOL(hAPP(X53,X51)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_488])])]) ).

fof(c_0_775,plain,
    ! [X30,X31,X32] :
      ( hBOOL(hAPP(X31,X30))
      | ~ c_in(X30,c_Orderings_Obot__class_Obot(tc_fun(X32,tc_bool)),X32) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_489])])]) ).

fof(c_0_776,plain,
    ! [X17,X18,X19] :
      ( c_in(X17,c_Message_Oanalz(X19),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X18,X17),c_Message_Oanalz(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_490]) ).

fof(c_0_777,plain,
    ! [X17,X18,X19] :
      ( c_in(X18,c_Message_Oanalz(X19),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X18,X17),c_Message_Oanalz(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_491]) ).

fof(c_0_778,plain,
    ! [X17,X18,X19] :
      ( c_in(X17,c_Event_Oused(X19),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X18,X17),c_Event_Oused(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_492]) ).

fof(c_0_779,plain,
    ! [X17,X18,X19] :
      ( c_in(X18,c_Event_Oused(X19),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X18,X17),c_Event_Oused(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_493]) ).

fof(c_0_780,plain,
    ! [X17,X18,X19] :
      ( c_in(X17,c_Message_Oparts(X19),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X18,X17),c_Message_Oparts(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_494]) ).

fof(c_0_781,plain,
    ! [X17,X18,X19] :
      ( c_in(X18,c_Message_Oparts(X19),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X18,X17),c_Message_Oparts(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_495]) ).

fof(c_0_782,plain,
    ! [X18,X19,X20] :
      ( c_in(X18,c_Message_Oparts(X20),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X19,X18),c_Message_Oparts(X20),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_496]) ).

fof(c_0_783,plain,
    ! [X21,X22,X23] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X22,X21,tc_fun(X23,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool))
      | X21 = c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_497]) ).

fof(c_0_784,plain,
    ! [X21,X22,X23] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X22,X21,tc_fun(X23,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool))
      | X22 = c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_498]) ).

fof(c_0_785,plain,
    ! [X37,X38,X39] :
      ( c_Set_Oinsert(X38,X37,X39) != c_Orderings_Obot__class_Obot(tc_fun(X39,tc_bool))
      | c_in(X38,X37,X39) ),
    inference(variable_rename,[status(thm)],[c_0_499]) ).

fof(c_0_786,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Oorder(X37)
      | X36 = X35
      | ~ c_lessequals(X35,X36,X37)
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_500]) ).

fof(c_0_787,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Oorder(X37)
      | X36 = X35
      | ~ c_lessequals(X35,X36,X37)
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_501]) ).

fof(c_0_788,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Oorder(X37)
      | X36 = X35
      | ~ c_lessequals(X36,X35,X37)
      | ~ c_lessequals(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_502]) ).

fof(c_0_789,plain,
    ! [X29,X30,X31] :
      ( c_List_Omember(X30,X29,X31)
      | ~ c_in(X30,c_List_Oset(X29,X31),X31) ),
    inference(variable_rename,[status(thm)],[c_0_503]) ).

fof(c_0_790,plain,
    ! [X29,X30,X31] :
      ( c_List_OListMem(X30,X29,X31)
      | ~ c_in(X30,c_List_Oset(X29,X31),X31) ),
    inference(variable_rename,[status(thm)],[c_0_504]) ).

fof(c_0_791,plain,
    ! [X47,X48,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_HOL_Ominus__class_Ominus(X49,X49,X50) != c_HOL_Ominus__class_Ominus(X48,X47,X50)
      | X48 = X47 ),
    inference(variable_rename,[status(thm)],[c_0_505]) ).

fof(c_0_792,plain,
    ! [X37,X38,X39,X40] :
      ( ~ class_OrderedGroup_Oab__group__add(X40)
      | c_HOL_Ominus__class_Ominus(X38,X37,X40) != c_HOL_Ominus__class_Ominus(X39,X39,X40)
      | X38 = X37 ),
    inference(variable_rename,[status(thm)],[c_0_506]) ).

fof(c_0_793,plain,
    ! [X21,X22] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X22)),c_Event_Oknows(c_Message_Oagent_OSpy,X21),tc_Message_Omsg)
      | ~ c_in(X22,c_Event_Obad,tc_Message_Oagent) ),
    inference(variable_rename,[status(thm)],[c_0_507]) ).

fof(c_0_794,plain,
    ! [X57,X58,X59,X60,X61] :
      ( c_List_Oreplicate(X60,X58,X61) != c_List_Oreplicate(X59,X57,X61)
      | X60 = X59 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_508])])]) ).

fof(c_0_795,plain,
    ! [X50,X51,X52,X53,X54] :
      ( c_List_Olist_OCons(X53,X51,X54) != c_List_Olist_OCons(X52,X50,X54)
      | X53 = X52 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_509])])]) ).

fof(c_0_796,plain,
    ! [X50,X51,X52,X53,X54] :
      ( c_List_Olist_OCons(X53,X51,X54) != c_List_Olist_OCons(X52,X50,X54)
      | X51 = X50 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_510])])]) ).

fof(c_0_797,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( c_Event_Oevent_OSays(X30,X28,X26) != c_Event_Oevent_OSays(X29,X27,X25)
      | X30 = X29 ),
    inference(variable_rename,[status(thm)],[c_0_511]) ).

fof(c_0_798,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( c_Event_Oevent_OSays(X30,X28,X26) != c_Event_Oevent_OSays(X29,X27,X25)
      | X28 = X27 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_512])])]) ).

fof(c_0_799,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( c_Event_Oevent_OSays(X30,X28,X26) != c_Event_Oevent_OSays(X29,X27,X25)
      | X26 = X25 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_513])])]) ).

fof(c_0_800,plain,
    ! [X17,X18] :
      ( c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X18,X17),X18,tc_Message_Omsg)
      | ~ c_in(X17,c_Message_Oparts(X18),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_514]) ).

fof(c_0_801,plain,
    ! [X17,X18] :
      ( c_in(X17,c_Message_Oanalz(X18),tc_Message_Omsg)
      | ~ c_in(X17,c_Message_Oanalz(c_Message_Oanalz(X18)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_515]) ).

fof(c_0_802,plain,
    ! [X17,X18] :
      ( c_in(X17,c_Message_Osynth(X18),tc_Message_Omsg)
      | ~ c_in(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_516]) ).

fof(c_0_803,plain,
    ! [X20,X21,X22] :
      ( c_in(X21,c_Event_Oused(X20),tc_Message_Omsg)
      | ~ c_in(X21,c_Message_Oparts(c_Event_OinitState(X22)),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_517])])]) ).

fof(c_0_804,plain,
    ! [X17,X18] :
      ( c_in(X17,c_Message_Oparts(X18),tc_Message_Omsg)
      | ~ c_in(X17,c_Message_Oparts(c_Message_Oparts(X18)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_518]) ).

fof(c_0_805,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | c_lessequals(X36,c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37),X37) ),
    inference(variable_rename,[status(thm)],[c_0_519]) ).

fof(c_0_806,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | c_lessequals(X35,c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37),X37) ),
    inference(variable_rename,[status(thm)],[c_0_520]) ).

fof(c_0_807,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | c_lessequals(X35,c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37),X37) ),
    inference(variable_rename,[status(thm)],[c_0_521]) ).

fof(c_0_808,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | c_lessequals(X36,c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37),X37) ),
    inference(variable_rename,[status(thm)],[c_0_522]) ).

fof(c_0_809,plain,
    ! [X29,X30,X31] :
      ( c_in(X30,c_List_Oset(X29,X31),X31)
      | ~ c_List_Omember(X30,X29,X31) ),
    inference(variable_rename,[status(thm)],[c_0_523]) ).

fof(c_0_810,plain,
    ! [X29,X30,X31] :
      ( c_in(X30,c_List_Oset(X29,X31),X31)
      | ~ c_List_OListMem(X30,X29,X31) ),
    inference(variable_rename,[status(thm)],[c_0_524]) ).

fof(c_0_811,plain,
    ! [X18,X19] :
      ( c_in(c_Message_Omsg_OKey(X18),X19,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X18),c_Message_Osynth(X19),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_525]) ).

fof(c_0_812,plain,
    ! [X18,X19] :
      ( c_in(c_Message_Omsg_OKey(X18),c_Message_Osynth(X19),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X18),X19,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_526]) ).

fof(c_0_813,plain,
    ! [X26,X27] :
      ( ~ c_in(X26,c_Message_Oanalz(X27),tc_Message_Omsg)
      | c_in(X26,c_Message_Oparts(X27),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_527]) ).

fof(c_0_814,plain,
    ! [X26,X27] :
      ( c_in(X26,c_Message_Oparts(X27),tc_Message_Omsg)
      | ~ c_in(X26,c_Message_Oanalz(X27),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_528]) ).

fof(c_0_815,plain,
    ! [X17,X18] :
      ( c_in(X17,c_Message_Oparts(X18),tc_Message_Omsg)
      | ~ c_in(X17,c_Message_Oanalz(X18),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_529]) ).

fof(c_0_816,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37) != X35
      | c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_530]) ).

fof(c_0_817,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37) = X36
      | ~ c_lessequals(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_531]) ).

fof(c_0_818,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37) = X35
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_532]) ).

fof(c_0_819,plain,
    ! [X17,X18] :
      ( c_in(X17,c_Message_Oanalz(X18),tc_Message_Omsg)
      | ~ c_in(X17,X18,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_533]) ).

fof(c_0_820,plain,
    ! [X17,X18] :
      ( c_in(X17,c_Message_Osynth(X18),tc_Message_Omsg)
      | ~ c_in(X17,X18,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_534]) ).

fof(c_0_821,plain,
    ! [X17,X18] :
      ( c_in(X17,c_Message_Oparts(X18),tc_Message_Omsg)
      | ~ c_in(X17,X18,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_535]) ).

fof(c_0_822,plain,
    ! [X28,X29,X30] :
      ( c_Set_Oinsert(X28,X29,X30) = X29
      | ~ c_in(X28,X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_536]) ).

fof(c_0_823,plain,
    ! [X29,X30,X31] :
      ( c_List_OremoveAll(X30,X29,X31) = X29
      | c_in(X30,c_List_Oset(X29,X31),X31) ),
    inference(variable_rename,[status(thm)],[c_0_537]) ).

fof(c_0_824,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | c_lessequals(X35,X36,X37)
      | c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_538]) ).

fof(c_0_825,plain,
    ! [X16,X17,X18] :
      ( hBOOL(hAPP(X17,X16))
      | ~ c_in(X16,X17,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_539])])]) ).

fof(c_0_826,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37) = c_Lattices_Oupper__semilattice__class_Osup(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_540]) ).

fof(c_0_827,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | c_Lattices_Oupper__semilattice__class_Osup(X36,X35,X37) = c_Lattices_Oupper__semilattice__class_Osup(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_541]) ).

fof(c_0_828,plain,
    ! [X21,X22,X23] :
      ( ~ class_Lattices_Obounded__lattice(X23)
      | c_Lattices_Oupper__semilattice__class_Osup(X22,X21,X23) != c_Orderings_Obot__class_Obot(X23)
      | X22 = c_Orderings_Obot__class_Obot(X23) ),
    inference(variable_rename,[status(thm)],[c_0_542]) ).

fof(c_0_829,plain,
    ! [X21,X22,X23] :
      ( ~ class_Lattices_Obounded__lattice(X23)
      | c_Lattices_Oupper__semilattice__class_Osup(X22,X21,X23) != c_Orderings_Obot__class_Obot(X23)
      | X21 = c_Orderings_Obot__class_Obot(X23) ),
    inference(variable_rename,[status(thm)],[c_0_543]) ).

fof(c_0_830,plain,
    ! [X16,X17,X18] :
      ( c_in(X16,X17,X18)
      | ~ hBOOL(hAPP(X17,X16)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_544])])]) ).

fof(c_0_831,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_545])])]) ).

fof(c_0_832,plain,
    ! [X15,X16] :
      ( ~ class_Lattices_Obounded__lattice(X16)
      | c_Lattices_Oupper__semilattice__class_Osup(X15,c_Orderings_Obot__class_Obot(X16),X16) = X15 ),
    inference(variable_rename,[status(thm)],[c_0_546]) ).

fof(c_0_833,plain,
    ! [X15,X16] :
      ( ~ class_Lattices_Obounded__lattice(X16)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X16),X15,X16) = X15 ),
    inference(variable_rename,[status(thm)],[c_0_547]) ).

fof(c_0_834,plain,
    ! [X15,X16] :
      ( ~ class_Orderings_Obot(X16)
      | c_lessequals(c_Orderings_Obot__class_Obot(X16),X15,X16) ),
    inference(variable_rename,[status(thm)],[c_0_548]) ).

fof(c_0_835,plain,
    ! [X15,X16] :
      ( ~ class_Lattices_Oupper__semilattice(X16)
      | c_Lattices_Oupper__semilattice__class_Osup(X15,X15,X16) = X15 ),
    inference(variable_rename,[status(thm)],[c_0_549]) ).

fof(c_0_836,plain,
    ! [X15,X16] :
      ( ~ class_Orderings_Oorder(X16)
      | c_lessequals(X15,X15,X16) ),
    inference(variable_rename,[status(thm)],[c_0_550]) ).

fof(c_0_837,plain,
    ! [X15,X16] :
      ( ~ class_Orderings_Opreorder(X16)
      | c_lessequals(X15,X15,X16) ),
    inference(variable_rename,[status(thm)],[c_0_551]) ).

fof(c_0_838,plain,
    ! [X58,X59,X60,X61] :
      ( c_Public_OpublicKey(X59,X61) != c_Public_OpublicKey(X58,X60)
      | X59 = X58 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_552])])]) ).

fof(c_0_839,plain,
    ! [X58,X59,X60,X61] :
      ( c_Public_OpublicKey(X59,X61) != c_Public_OpublicKey(X58,X60)
      | X61 = X60 ),
    inference(variable_rename,[status(thm)],[c_0_553]) ).

fof(c_0_840,plain,
    ! [X55,X56,X57,X58] :
      ( c_Event_Oevent_OGets(X58,X56) != c_Event_Oevent_OGets(X57,X55)
      | X56 = X55 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_554])])]) ).

fof(c_0_841,plain,
    ! [X55,X56,X57,X58] :
      ( c_Event_Oevent_OGets(X58,X56) != c_Event_Oevent_OGets(X57,X55)
      | X58 = X57 ),
    inference(variable_rename,[status(thm)],[c_0_555]) ).

fof(c_0_842,plain,
    ! [X55,X56,X57,X58] :
      ( c_Event_Oevent_ONotes(X58,X56) != c_Event_Oevent_ONotes(X57,X55)
      | X56 = X55 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_556])])]) ).

fof(c_0_843,plain,
    ! [X55,X56,X57,X58] :
      ( c_Event_Oevent_ONotes(X58,X56) != c_Event_Oevent_ONotes(X57,X55)
      | X58 = X57 ),
    inference(variable_rename,[status(thm)],[c_0_557]) ).

fof(c_0_844,plain,
    ! [X14,X15,X16,X17] :
      ( c_Message_Omsg_OCrypt(X15,X17) != c_Message_Omsg_OCrypt(X14,X16)
      | X15 = X14 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_558])])]) ).

fof(c_0_845,plain,
    ! [X14,X15,X16,X17] :
      ( c_Message_Omsg_OCrypt(X15,X17) != c_Message_Omsg_OCrypt(X14,X16)
      | X17 = X16 ),
    inference(variable_rename,[status(thm)],[c_0_559]) ).

fof(c_0_846,plain,
    ! [X10,X11,X12,X13] :
      ( c_Message_Omsg_OMPair(X13,X11) != c_Message_Omsg_OMPair(X12,X10)
      | X13 = X12 ),
    inference(variable_rename,[status(thm)],[c_0_560]) ).

fof(c_0_847,plain,
    ! [X10,X11,X12,X13] :
      ( c_Message_Omsg_OMPair(X13,X11) != c_Message_Omsg_OMPair(X12,X10)
      | X11 = X10 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_561])])]) ).

fof(c_0_848,plain,
    ! [X6,X7] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_562]) ).

fof(c_0_849,plain,
    ! [X6,X7] :
      ( class_Lattices_Obounded__lattice(tc_fun(X6,X7))
      | ~ class_Lattices_Obounded__lattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_563]) ).

fof(c_0_850,plain,
    ! [X6,X7] :
      ( class_Orderings_Opreorder(tc_fun(X6,X7))
      | ~ class_Orderings_Opreorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_564]) ).

fof(c_0_851,plain,
    ! [X6,X7] :
      ( class_Lattices_Olattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_565]) ).

fof(c_0_852,plain,
    ! [X6,X7] :
      ( class_Orderings_Oorder(tc_fun(X6,X7))
      | ~ class_Orderings_Oorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_566]) ).

fof(c_0_853,plain,
    ! [X6,X7] :
      ( class_Orderings_Obot(tc_fun(X6,X7))
      | ~ class_Orderings_Obot(X7) ),
    inference(variable_rename,[status(thm)],[c_0_567]) ).

fof(c_0_854,plain,
    ! [X6,X7] :
      ( class_HOL_Oord(tc_fun(X6,X7))
      | ~ class_HOL_Oord(X7) ),
    inference(variable_rename,[status(thm)],[c_0_568]) ).

fof(c_0_855,plain,
    ! [X60,X61] :
      ( c_Message_OinvKey(X61) != c_Message_OinvKey(X60)
      | X61 = X60 ),
    inference(variable_rename,[status(thm)],[c_0_569]) ).

fof(c_0_856,plain,
    ! [X35,X36] :
      ( c_Public_OshrK(X36) != c_Public_OshrK(X35)
      | X36 = X35 ),
    inference(variable_rename,[status(thm)],[c_0_570]) ).

fof(c_0_857,plain,
    ! [X12,X13] :
      ( c_Message_Omsg_OKey(X13) != c_Message_Omsg_OKey(X12)
      | X13 = X12 ),
    inference(variable_rename,[status(thm)],[c_0_571]) ).

cnf(c_0_858,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_Map_Omap__upds(X4,X2,X5,X1,X3,X6) = hAPP(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_572]) ).

cnf(c_0_859,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_573]) ).

cnf(c_0_860,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_574]) ).

cnf(c_0_861,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_575]) ).

cnf(c_0_862,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_576]) ).

cnf(c_0_863,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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_577]) ).

cnf(c_0_864,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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_578]) ).

cnf(c_0_865,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_579]) ).

cnf(c_0_866,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_580]) ).

cnf(c_0_867,plain,
    ( hAPP(X4,X1) = hAPP(X5,X1)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Omap(X4,X2,X3,X6) != c_List_Omap(X5,X2,X3,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_581]) ).

cnf(c_0_868,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_582]) ).

cnf(c_0_869,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_583]) ).

cnf(c_0_870,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_584]) ).

cnf(c_0_871,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_585]) ).

cnf(c_0_872,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_586]) ).

cnf(c_0_873,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_587]) ).

cnf(c_0_874,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_588]) ).

cnf(c_0_875,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_589]) ).

cnf(c_0_876,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_590]) ).

cnf(c_0_877,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_591]) ).

cnf(c_0_878,plain,
    ( c_in(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(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_592]) ).

cnf(c_0_879,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__iff__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_593]) ).

cnf(c_0_880,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_594]) ).

cnf(c_0_881,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__iff__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_595]) ).

cnf(c_0_882,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__propE__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_596]) ).

cnf(c_0_883,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_597]) ).

cnf(c_0_884,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_598]) ).

cnf(c_0_885,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_599]) ).

cnf(c_0_886,plain,
    ( c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_600]) ).

cnf(c_0_887,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_601]) ).

cnf(c_0_888,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_602]) ).

cnf(c_0_889,plain,
    ( c_in(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(c_Message_Omsg_OKey(X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_603]) ).

cnf(c_0_890,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_604]) ).

cnf(c_0_891,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xsplit__list__first__1__1(X1,X2,X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_605]) ).

cnf(c_0_892,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__first__1__1(X1,X2,X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_606]) ).

cnf(c_0_893,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__last__1__2(X1,X2,X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_607]) ).

cnf(c_0_894,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xsplit__list__last__1__2(X1,X2,X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_608]) ).

cnf(c_0_895,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_609]) ).

cnf(c_0_896,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_610]) ).

cnf(c_0_897,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_611]) ).

cnf(c_0_898,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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_612]) ).

cnf(c_0_899,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_613]) ).

cnf(c_0_900,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_614]) ).

cnf(c_0_901,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_615]) ).

cnf(c_0_902,plain,
    ( c_in(X1,X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,v_sko__Message__Xparts__Xcases__1(X2,X1)),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_sko__Message__Xparts__Xcases__2(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_sko__Message__Xparts__Xcases__3(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_616]) ).

cnf(c_0_903,plain,
    ( X1 = X2
    | c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_617]) ).

cnf(c_0_904,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_618]) ).

cnf(c_0_905,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X4,X2,X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_619]) ).

cnf(c_0_906,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X4,X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_620]) ).

cnf(c_0_907,plain,
    ( c_in(X1,c_List_Oset(X2,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X3,X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_621]) ).

cnf(c_0_908,plain,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Otake(X2,X3,X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_622]) ).

cnf(c_0_909,plain,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Odrop(X2,X3,X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_623]) ).

cnf(c_0_910,plain,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X2,X3,X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_624]) ).

cnf(c_0_911,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_625]) ).

cnf(c_0_912,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X2,X3,X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_626]) ).

cnf(c_0_913,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_627]) ).

cnf(c_0_914,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_628]) ).

cnf(c_0_915,plain,
    ( X1 = X3
    | ~ c_in(X1,c_List_Oset(c_List_Oreplicate(X2,X3,X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_629]) ).

cnf(c_0_916,plain,
    ( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(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_630]) ).

cnf(c_0_917,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_631]) ).

cnf(c_0_918,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_632]) ).

cnf(c_0_919,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_633]) ).

cnf(c_0_920,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_634]) ).

cnf(c_0_921,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(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_635]) ).

cnf(c_0_922,plain,
    ( X1 = X2
    | c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4)
    | ~ c_in(X1,c_List_Oset(X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_636]) ).

cnf(c_0_923,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_637]) ).

cnf(c_0_924,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_638]) ).

cnf(c_0_925,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_639]) ).

cnf(c_0_926,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__prop__iff__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_640]) ).

cnf(c_0_927,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__prop__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_641]) ).

cnf(c_0_928,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__propE__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_642]) ).

cnf(c_0_929,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__propE__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_643]) ).

cnf(c_0_930,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__propE__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_644]) ).

cnf(c_0_931,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__prop__iff__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_645]) ).

cnf(c_0_932,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__prop__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_646]) ).

cnf(c_0_933,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__prop__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_647]) ).

cnf(c_0_934,plain,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_648]) ).

cnf(c_0_935,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_649]) ).

cnf(c_0_936,plain,
    ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(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_650]) ).

cnf(c_0_937,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_651]) ).

cnf(c_0_938,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_652]) ).

cnf(c_0_939,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_653]) ).

cnf(c_0_940,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_654]) ).

cnf(c_0_941,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_655]) ).

cnf(c_0_942,plain,
    ( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_656]) ).

cnf(c_0_943,plain,
    ( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_657]) ).

cnf(c_0_944,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_658]) ).

cnf(c_0_945,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_659]) ).

cnf(c_0_946,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_660]) ).

cnf(c_0_947,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_661]) ).

cnf(c_0_948,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_662]) ).

cnf(c_0_949,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_663]) ).

cnf(c_0_950,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_664]) ).

cnf(c_0_951,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_665]) ).

cnf(c_0_952,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_666]) ).

cnf(c_0_953,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_667]) ).

cnf(c_0_954,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_668]) ).

cnf(c_0_955,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_669]) ).

cnf(c_0_956,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_670]) ).

cnf(c_0_957,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Olist__ex(X1,X3,X4)
    | ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_671]) ).

cnf(c_0_958,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_672]) ).

cnf(c_0_959,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_673]) ).

cnf(c_0_960,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_674]) ).

cnf(c_0_961,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_675]) ).

cnf(c_0_962,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_676]) ).

cnf(c_0_963,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_677]) ).

cnf(c_0_964,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_678]) ).

cnf(c_0_965,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_679]) ).

cnf(c_0_966,plain,
    ( X1 = X2
    | c_List_OremoveAll(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OremoveAll(X1,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_680]) ).

cnf(c_0_967,plain,
    ( X1 = X2
    | c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_681]) ).

cnf(c_0_968,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_682]) ).

cnf(c_0_969,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_683]) ).

cnf(c_0_970,plain,
    ( c_in(c_Message_Omsg_OKey(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_684]) ).

cnf(c_0_971,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_685]) ).

cnf(c_0_972,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_686]) ).

cnf(c_0_973,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_687]) ).

cnf(c_0_974,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_688]) ).

cnf(c_0_975,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_689]) ).

cnf(c_0_976,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_690]) ).

cnf(c_0_977,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_691]) ).

cnf(c_0_978,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_692]) ).

cnf(c_0_979,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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_693]) ).

cnf(c_0_980,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_694]) ).

cnf(c_0_981,plain,
    ( X1 = X2
    | c_List_Omember(X1,X3,X4)
    | ~ c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_695]) ).

cnf(c_0_982,plain,
    ( c_List_Olist__all(X1,X3,X4)
    | ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_696]) ).

cnf(c_0_983,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_697]) ).

cnf(c_0_984,plain,
    ( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_List_Olist__all(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_698]) ).

cnf(c_0_985,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_699]) ).

cnf(c_0_986,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_700]) ).

cnf(c_0_987,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_701]) ).

cnf(c_0_988,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Obutlast(X2,X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_702]) ).

cnf(c_0_989,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_703]) ).

cnf(c_0_990,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_704]) ).

cnf(c_0_991,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_705]) ).

cnf(c_0_992,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_706]) ).

cnf(c_0_993,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_707]) ).

cnf(c_0_994,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(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_708]) ).

cnf(c_0_995,plain,
    ( c_in(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_709]) ).

cnf(c_0_996,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(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_710]) ).

cnf(c_0_997,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_711]) ).

cnf(c_0_998,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_712]) ).

cnf(c_0_999,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_713]) ).

cnf(c_0_1000,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(c_Message_Omsg_OKey(X3),X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_714]) ).

cnf(c_0_1001,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_715]) ).

cnf(c_0_1002,plain,
    ( c_in(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_716]) ).

cnf(c_0_1003,plain,
    ( c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Oreplicate(X3,X2,X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_717]) ).

cnf(c_0_1004,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_718]) ).

cnf(c_0_1005,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_719]) ).

cnf(c_0_1006,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_720]) ).

cnf(c_0_1007,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_721]) ).

cnf(c_0_1008,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_722]) ).

cnf(c_0_1009,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_723]) ).

cnf(c_0_1010,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_724]) ).

cnf(c_0_1011,plain,
    ( c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_Olist__ex(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_725]) ).

cnf(c_0_1012,plain,
    ( c_List_OListMem(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_OListMem(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_726]) ).

cnf(c_0_1013,plain,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_727]) ).

cnf(c_0_1014,plain,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_728]) ).

cnf(c_0_1015,plain,
    ( c_List_Omember(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_Omember(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_729]) ).

cnf(c_0_1016,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_730]) ).

cnf(c_0_1017,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_731]) ).

cnf(c_0_1018,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_OremoveAll(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_732]) ).

cnf(c_0_1019,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_733]) ).

cnf(c_0_1020,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_734]) ).

cnf(c_0_1021,plain,
    ( hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_OtakeWhile(X4,X2,X3) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_735]) ).

cnf(c_0_1022,plain,
    ( hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Ofilter(X4,X2,X3) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_736]) ).

cnf(c_0_1023,plain,
    ( hBOOL(hAPP(X1,X4))
    | ~ c_List_Olist__all(X1,X2,X3)
    | ~ c_in(X4,c_List_Oset(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_737]) ).

cnf(c_0_1024,plain,
    ( hBOOL(hAPP(X1,X4))
    | ~ c_List_Olistsp(X1,X2,X3)
    | ~ c_in(X4,c_List_Oset(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_738]) ).

cnf(c_0_1025,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_739]) ).

cnf(c_0_1026,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_740]) ).

cnf(c_0_1027,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_741]) ).

cnf(c_0_1028,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_742]) ).

cnf(c_0_1029,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_743]) ).

cnf(c_0_1030,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_744]) ).

cnf(c_0_1031,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_745]) ).

cnf(c_0_1032,plain,
    ( c_List_Olist__ex(X4,X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_746]) ).

cnf(c_0_1033,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_747]) ).

cnf(c_0_1034,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_748]) ).

cnf(c_0_1035,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_749]) ).

cnf(c_0_1036,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_750]) ).

cnf(c_0_1037,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_751]) ).

cnf(c_0_1038,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_752]) ).

cnf(c_0_1039,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_753]) ).

cnf(c_0_1040,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_754]) ).

cnf(c_0_1041,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_755]) ).

cnf(c_0_1042,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_756]) ).

cnf(c_0_1043,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_757]) ).

cnf(c_0_1044,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_758]) ).

cnf(c_0_1045,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_759]) ).

cnf(c_0_1046,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_760]) ).

cnf(c_0_1047,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_761]) ).

cnf(c_0_1048,plain,
    ( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_762]) ).

cnf(c_0_1049,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_763]) ).

cnf(c_0_1050,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_764]) ).

cnf(c_0_1051,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_765]) ).

cnf(c_0_1052,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_766]) ).

cnf(c_0_1053,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_767]) ).

cnf(c_0_1054,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_768]) ).

cnf(c_0_1055,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_769]) ).

cnf(c_0_1056,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_770]) ).

cnf(c_0_1057,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_771]) ).

cnf(c_0_1058,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_772]) ).

cnf(c_0_1059,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_773]) ).

cnf(c_0_1060,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_774]) ).

cnf(c_0_1061,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_775]) ).

cnf(c_0_1062,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_776]) ).

cnf(c_0_1063,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_777]) ).

cnf(c_0_1064,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_778]) ).

cnf(c_0_1065,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_779]) ).

cnf(c_0_1066,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_780]) ).

cnf(c_0_1067,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_781]) ).

cnf(c_0_1068,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_782]) ).

cnf(c_0_1069,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_783]) ).

cnf(c_0_1070,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_784]) ).

cnf(c_0_1071,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_785]) ).

cnf(c_0_1072,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_786]) ).

cnf(c_0_1073,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_787]) ).

cnf(c_0_1074,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_788]) ).

cnf(c_0_1075,plain,
    ( c_List_Omember(X1,X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_789]) ).

cnf(c_0_1076,plain,
    ( c_List_OListMem(X1,X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_790]) ).

cnf(c_0_1077,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_791]) ).

cnf(c_0_1078,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_792]) ).

cnf(c_0_1079,plain,
    ( c_in(c_Message_Omsg_OKey(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_793]) ).

cnf(c_0_1080,plain,
    ( X1 = X2
    | c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_794]) ).

cnf(c_0_1081,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_795]) ).

cnf(c_0_1082,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_796]) ).

cnf(c_0_1083,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_797]) ).

cnf(c_0_1084,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_798]) ).

cnf(c_0_1085,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_799]) ).

cnf(c_0_1086,plain,
    ( c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),X2,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_800]) ).

cnf(c_0_1087,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_801]) ).

cnf(c_0_1088,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_802]) ).

cnf(c_0_1089,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_803]) ).

cnf(c_0_1090,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_804]) ).

cnf(c_0_1091,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_805]) ).

cnf(c_0_1092,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_806]) ).

cnf(c_0_1093,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_807]) ).

cnf(c_0_1094,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_808]) ).

cnf(c_0_1095,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_List_Omember(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_809]) ).

cnf(c_0_1096,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_List_OListMem(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_810]) ).

cnf(c_0_1097,plain,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_811]) ).

cnf(c_0_1098,plain,
    ( c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_812]) ).

cnf(c_0_1099,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_813]) ).

cnf(c_0_1100,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_814]) ).

cnf(c_0_1101,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_815]) ).

cnf(c_0_1102,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_816]) ).

cnf(c_0_1103,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_817]) ).

cnf(c_0_1104,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_818]) ).

cnf(c_0_1105,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_819]) ).

cnf(c_0_1106,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_820]) ).

cnf(c_0_1107,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_821]) ).

cnf(c_0_1108,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_822]) ).

cnf(c_0_1109,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_OremoveAll(X1,X2,X3) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_823]) ).

cnf(c_0_1110,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_824]) ).

cnf(c_0_1111,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_825]) ).

cnf(c_0_1112,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_826]) ).

cnf(c_0_1113,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_827]) ).

cnf(c_0_1114,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_828]) ).

cnf(c_0_1115,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_829]) ).

cnf(c_0_1116,plain,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_830]) ).

cnf(c_0_1117,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_831]) ).

cnf(c_0_1118,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_832]) ).

cnf(c_0_1119,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_833]) ).

cnf(c_0_1120,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1121,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_835]) ).

cnf(c_0_1122,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_836]) ).

cnf(c_0_1123,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_837]) ).

cnf(c_0_1124,plain,
    ( X1 = X2
    | c_Public_OpublicKey(X1,X3) != c_Public_OpublicKey(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_838]) ).

cnf(c_0_1125,plain,
    ( X1 = X2
    | c_Public_OpublicKey(X3,X1) != c_Public_OpublicKey(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_839]) ).

cnf(c_0_1126,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_840]) ).

cnf(c_0_1127,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_841]) ).

cnf(c_0_1128,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_842]) ).

cnf(c_0_1129,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_843]) ).

cnf(c_0_1130,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_844]) ).

cnf(c_0_1131,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_845]) ).

cnf(c_0_1132,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_846]) ).

cnf(c_0_1133,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_847]) ).

cnf(c_0_1134,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_848]) ).

cnf(c_0_1135,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_849]) ).

cnf(c_0_1136,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_850]) ).

cnf(c_0_1137,plain,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_851]) ).

cnf(c_0_1138,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_852]) ).

cnf(c_0_1139,plain,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_853]) ).

cnf(c_0_1140,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_854]) ).

cnf(c_0_1141,plain,
    ( X1 = X2
    | c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_855]) ).

cnf(c_0_1142,plain,
    ( X1 = X2
    | c_Public_OshrK(X1) != c_Public_OshrK(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_856]) ).

cnf(c_0_1143,plain,
    ( X1 = X2
    | c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_857]) ).

cnf(c_0_1144,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_Map_Omap__upds(X4,X2,X5,X1,X3,X6) = hAPP(X4,X1) ),
    c_0_858,
    [final] ).

cnf(c_0_1145,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_859,
    [final] ).

cnf(c_0_1146,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_860,
    [final] ).

cnf(c_0_1147,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_861,
    [final] ).

cnf(c_0_1148,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_862,
    [final] ).

cnf(c_0_1149,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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_863,
    [final] ).

cnf(c_0_1150,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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_864,
    [final] ).

cnf(c_0_1151,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_865,
    [final] ).

cnf(c_0_1152,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_866,
    [final] ).

cnf(c_0_1153,plain,
    ( hAPP(X4,X1) = hAPP(X5,X1)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Omap(X4,X2,X3,X6) != c_List_Omap(X5,X2,X3,X6) ),
    c_0_867,
    [final] ).

cnf(c_0_1154,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_868,
    [final] ).

cnf(c_0_1155,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_869,
    [final] ).

cnf(c_0_1156,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_870,
    [final] ).

cnf(c_0_1157,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_871,
    [final] ).

cnf(c_0_1158,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_872,
    [final] ).

cnf(c_0_1159,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_873,
    [final] ).

cnf(c_0_1160,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_874,
    [final] ).

cnf(c_0_1161,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_875,
    [final] ).

cnf(c_0_1162,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_876,
    [final] ).

cnf(c_0_1163,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_877,
    [final] ).

cnf(c_0_1164,plain,
    ( c_in(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(c_Message_Omsg_OKey(X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    c_0_878,
    [final] ).

cnf(c_0_1165,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__iff__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    c_0_879,
    [final] ).

cnf(c_0_1166,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    c_0_880,
    [final] ).

cnf(c_0_1167,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__iff__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    c_0_881,
    [final] ).

cnf(c_0_1168,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__propE__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    c_0_882,
    [final] ).

cnf(c_0_1169,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    c_0_883,
    [final] ).

cnf(c_0_1170,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    c_0_884,
    [final] ).

cnf(c_0_1171,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_885,
    [final] ).

cnf(c_0_1172,plain,
    ( c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_886,
    [final] ).

cnf(c_0_1173,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_887,
    [final] ).

cnf(c_0_1174,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_888,
    [final] ).

cnf(c_0_1175,plain,
    ( c_in(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(c_Message_Omsg_OKey(X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_889,
    [final] ).

cnf(c_0_1176,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_890,
    [final] ).

cnf(c_0_1177,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xsplit__list__first__1__1(X1,X2,X3),X3),X3) ),
    c_0_891,
    [final] ).

cnf(c_0_1178,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__first__1__1(X1,X2,X3),X3),X3) ),
    c_0_892,
    [final] ).

cnf(c_0_1179,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__last__1__2(X1,X2,X3),X3),X3) ),
    c_0_893,
    [final] ).

cnf(c_0_1180,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xsplit__list__last__1__2(X1,X2,X3),X3),X3) ),
    c_0_894,
    [final] ).

cnf(c_0_1181,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_895,
    [final] ).

cnf(c_0_1182,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_896,
    [final] ).

cnf(c_0_1183,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_897,
    [final] ).

cnf(c_0_1184,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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_898,
    [final] ).

cnf(c_0_1185,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_899,
    [final] ).

cnf(c_0_1186,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_900,
    [final] ).

cnf(c_0_1187,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_901,
    [final] ).

cnf(c_0_1188,plain,
    ( c_in(X1,X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,v_sko__Message__Xparts__Xcases__1(X2,X1)),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_sko__Message__Xparts__Xcases__2(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_sko__Message__Xparts__Xcases__3(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_902,
    [final] ).

cnf(c_0_1189,plain,
    ( X1 = X2
    | c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4) ),
    c_0_903,
    [final] ).

cnf(c_0_1190,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_904,
    [final] ).

cnf(c_0_1191,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X4,X2,X3),X3),X3) ),
    c_0_905,
    [final] ).

cnf(c_0_1192,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X4,X3),X3),X3) ),
    c_0_906,
    [final] ).

cnf(c_0_1193,plain,
    ( c_in(X1,c_List_Oset(X2,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X3,X4),X4),X4) ),
    c_0_907,
    [final] ).

cnf(c_0_1194,plain,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Otake(X2,X3,X4),X4),X4) ),
    c_0_908,
    [final] ).

cnf(c_0_1195,plain,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Odrop(X2,X3,X4),X4),X4) ),
    c_0_909,
    [final] ).

cnf(c_0_1196,plain,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X2,X3,X4),X4),X4) ),
    c_0_910,
    [final] ).

cnf(c_0_1197,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_911,
    [final] ).

cnf(c_0_1198,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X2,X3,X4),X4),X4) ),
    c_0_912,
    [final] ).

cnf(c_0_1199,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_913,
    [final] ).

cnf(c_0_1200,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_914,
    [final] ).

cnf(c_0_1201,plain,
    ( X1 = X3
    | ~ c_in(X1,c_List_Oset(c_List_Oreplicate(X2,X3,X4),X4),X4) ),
    c_0_915,
    [final] ).

cnf(c_0_1202,plain,
    ( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(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_916,
    [final] ).

cnf(c_0_1203,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_917,
    [final] ).

cnf(c_0_1204,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_918,
    [final] ).

cnf(c_0_1205,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_919,
    [final] ).

cnf(c_0_1206,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_920,
    [final] ).

cnf(c_0_1207,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(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_921,
    [final] ).

cnf(c_0_1208,plain,
    ( X1 = X2
    | c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4)
    | ~ c_in(X1,c_List_Oset(X3,X4),X4) ),
    c_0_922,
    [final] ).

cnf(c_0_1209,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_923,
    [final] ).

cnf(c_0_1210,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_924,
    [final] ).

cnf(c_0_1211,plain,
    ( X1 = X2
    | ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    c_0_925,
    [final] ).

cnf(c_0_1212,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__prop__iff__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    c_0_926,
    [final] ).

cnf(c_0_1213,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__prop__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    c_0_927,
    [final] ).

cnf(c_0_1214,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__propE__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    c_0_928,
    [final] ).

cnf(c_0_1215,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__propE__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    c_0_929,
    [final] ).

cnf(c_0_1216,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__propE__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    c_0_930,
    [final] ).

cnf(c_0_1217,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__prop__iff__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    c_0_931,
    [final] ).

cnf(c_0_1218,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__prop__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    c_0_932,
    [final] ).

cnf(c_0_1219,plain,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__prop__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    c_0_933,
    [final] ).

cnf(c_0_1220,plain,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    c_0_934,
    [final] ).

cnf(c_0_1221,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_935,
    [final] ).

cnf(c_0_1222,plain,
    ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(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_936,
    [final] ).

cnf(c_0_1223,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_937,
    [final] ).

cnf(c_0_1224,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_938,
    [final] ).

cnf(c_0_1225,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_939,
    [final] ).

cnf(c_0_1226,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_940,
    [final] ).

cnf(c_0_1227,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_941,
    [final] ).

cnf(c_0_1228,plain,
    ( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_942,
    [final] ).

cnf(c_0_1229,plain,
    ( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_943,
    [final] ).

cnf(c_0_1230,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_944,
    [final] ).

cnf(c_0_1231,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_945,
    [final] ).

cnf(c_0_1232,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_946,
    [final] ).

cnf(c_0_1233,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_947,
    [final] ).

cnf(c_0_1234,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_948,
    [final] ).

cnf(c_0_1235,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_949,
    [final] ).

cnf(c_0_1236,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_950,
    [final] ).

cnf(c_0_1237,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_951,
    [final] ).

cnf(c_0_1238,plain,
    ( c_in(X1,X4,X3)
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    c_0_952,
    [final] ).

cnf(c_0_1239,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_953,
    [final] ).

cnf(c_0_1240,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_954,
    [final] ).

cnf(c_0_1241,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_955,
    [final] ).

cnf(c_0_1242,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_956,
    [final] ).

cnf(c_0_1243,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Olist__ex(X1,X3,X4)
    | ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    c_0_957,
    [final] ).

cnf(c_0_1244,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_958,
    [final] ).

cnf(c_0_1245,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_959,
    [final] ).

cnf(c_0_1246,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_960,
    [final] ).

cnf(c_0_1247,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_961,
    [final] ).

cnf(c_0_1248,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_962,
    [final] ).

cnf(c_0_1249,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_963,
    [final] ).

cnf(c_0_1250,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_964,
    [final] ).

cnf(c_0_1251,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_965,
    [final] ).

cnf(c_0_1252,plain,
    ( X1 = X2
    | c_List_OremoveAll(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OremoveAll(X1,X3,X4),X4) ),
    c_0_966,
    [final] ).

cnf(c_0_1253,plain,
    ( X1 = X2
    | c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
    c_0_967,
    [final] ).

cnf(c_0_1254,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_968,
    [final] ).

cnf(c_0_1255,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_969,
    [final] ).

cnf(c_0_1256,plain,
    ( c_in(c_Message_Omsg_OKey(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_970,
    [final] ).

cnf(c_0_1257,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_971,
    [final] ).

cnf(c_0_1258,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_972,
    [final] ).

cnf(c_0_1259,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_973,
    [final] ).

cnf(c_0_1260,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_974,
    [final] ).

cnf(c_0_1261,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_975,
    [final] ).

cnf(c_0_1262,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_976,
    [final] ).

cnf(c_0_1263,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_977,
    [final] ).

cnf(c_0_1264,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_978,
    [final] ).

cnf(c_0_1265,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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_979,
    [final] ).

cnf(c_0_1266,plain,
    ( X1 = X2
    | c_in(X1,X3,X4)
    | ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
    c_0_980,
    [final] ).

cnf(c_0_1267,plain,
    ( X1 = X2
    | c_List_Omember(X1,X3,X4)
    | ~ c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    c_0_981,
    [final] ).

cnf(c_0_1268,plain,
    ( c_List_Olist__all(X1,X3,X4)
    | ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    c_0_982,
    [final] ).

cnf(c_0_1269,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_983,
    [final] ).

cnf(c_0_1270,plain,
    ( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_List_Olist__all(X1,X3,X4) ),
    c_0_984,
    [final] ).

cnf(c_0_1271,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_985,
    [final] ).

cnf(c_0_1272,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_986,
    [final] ).

cnf(c_0_1273,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_987,
    [final] ).

cnf(c_0_1274,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Obutlast(X2,X3),X3),X3) ),
    c_0_988,
    [final] ).

cnf(c_0_1275,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    c_0_989,
    [final] ).

cnf(c_0_1276,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_990,
    [final] ).

cnf(c_0_1277,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_991,
    [final] ).

cnf(c_0_1278,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_992,
    [final] ).

cnf(c_0_1279,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_993,
    [final] ).

cnf(c_0_1280,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(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_994,
    [final] ).

cnf(c_0_1281,plain,
    ( c_in(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_995,
    [final] ).

cnf(c_0_1282,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(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_996,
    [final] ).

cnf(c_0_1283,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_997,
    [final] ).

cnf(c_0_1284,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_998,
    [final] ).

cnf(c_0_1285,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_999,
    [final] ).

cnf(c_0_1286,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(c_Message_Omsg_OKey(X3),X2,tc_Message_Omsg) ),
    c_0_1000,
    [final] ).

cnf(c_0_1287,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_1001,
    [final] ).

cnf(c_0_1288,plain,
    ( c_in(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_1002,
    [final] ).

cnf(c_0_1289,plain,
    ( c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Oreplicate(X3,X2,X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1003,
    [final] ).

cnf(c_0_1290,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    c_0_1004,
    [final] ).

cnf(c_0_1291,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1005,
    [final] ).

cnf(c_0_1292,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    c_0_1006,
    [final] ).

cnf(c_0_1293,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    c_0_1007,
    [final] ).

cnf(c_0_1294,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_1008,
    [final] ).

cnf(c_0_1295,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_1009,
    [final] ).

cnf(c_0_1296,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_1010,
    [final] ).

cnf(c_0_1297,plain,
    ( c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_Olist__ex(X1,X2,X3) ),
    c_0_1011,
    [final] ).

cnf(c_0_1298,plain,
    ( c_List_OListMem(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_OListMem(X1,X2,X3) ),
    c_0_1012,
    [final] ).

cnf(c_0_1299,plain,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    c_0_1013,
    [final] ).

cnf(c_0_1300,plain,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    c_0_1014,
    [final] ).

cnf(c_0_1301,plain,
    ( c_List_Omember(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_Omember(X1,X2,X3) ),
    c_0_1015,
    [final] ).

cnf(c_0_1302,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_1016,
    [final] ).

cnf(c_0_1303,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_1017,
    [final] ).

cnf(c_0_1304,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_OremoveAll(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
    c_0_1018,
    [final] ).

cnf(c_0_1305,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
    c_0_1019,
    [final] ).

cnf(c_0_1306,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
    c_0_1020,
    [final] ).

cnf(c_0_1307,plain,
    ( hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_OtakeWhile(X4,X2,X3) != X2 ),
    c_0_1021,
    [final] ).

cnf(c_0_1308,plain,
    ( hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Ofilter(X4,X2,X3) != X2 ),
    c_0_1022,
    [final] ).

cnf(c_0_1309,plain,
    ( hBOOL(hAPP(X1,X4))
    | ~ c_List_Olist__all(X1,X2,X3)
    | ~ c_in(X4,c_List_Oset(X2,X3),X3) ),
    c_0_1023,
    [final] ).

cnf(c_0_1310,plain,
    ( hBOOL(hAPP(X1,X4))
    | ~ c_List_Olistsp(X1,X2,X3)
    | ~ c_in(X4,c_List_Oset(X2,X3),X3) ),
    c_0_1024,
    [final] ).

cnf(c_0_1311,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_1025,
    [final] ).

cnf(c_0_1312,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    c_0_1026,
    [final] ).

cnf(c_0_1313,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_1027,
    [final] ).

cnf(c_0_1314,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1028,
    [final] ).

cnf(c_0_1315,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1029,
    [final] ).

cnf(c_0_1316,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_1030,
    [final] ).

cnf(c_0_1317,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_1031,
    [final] ).

cnf(c_0_1318,plain,
    ( c_List_Olist__ex(X4,X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    c_0_1032,
    [final] ).

cnf(c_0_1319,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_1033,
    [final] ).

cnf(c_0_1320,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_1034,
    [final] ).

cnf(c_0_1321,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_1035,
    [final] ).

cnf(c_0_1322,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_1036,
    [final] ).

cnf(c_0_1323,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_1037,
    [final] ).

cnf(c_0_1324,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_1038,
    [final] ).

cnf(c_0_1325,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_1039,
    [final] ).

cnf(c_0_1326,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_1040,
    [final] ).

cnf(c_0_1327,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_1041,
    [final] ).

cnf(c_0_1328,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_1042,
    [final] ).

cnf(c_0_1329,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_1043,
    [final] ).

cnf(c_0_1330,plain,
    ( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ hBOOL(hAPP(X3,X1)) ),
    c_0_1044,
    [final] ).

cnf(c_0_1331,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_1045,
    [final] ).

cnf(c_0_1332,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_1046,
    [final] ).

cnf(c_0_1333,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_1047,
    [final] ).

cnf(c_0_1334,plain,
    ( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1048,
    [final] ).

cnf(c_0_1335,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_1049,
    [final] ).

cnf(c_0_1336,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_1050,
    [final] ).

cnf(c_0_1337,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_1051,
    [final] ).

cnf(c_0_1338,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_1052,
    [final] ).

cnf(c_0_1339,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_1053,
    [final] ).

cnf(c_0_1340,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4) ),
    c_0_1054,
    [final] ).

cnf(c_0_1341,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    c_0_1055,
    [final] ).

cnf(c_0_1342,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_1056,
    [final] ).

cnf(c_0_1343,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_1057,
    [final] ).

cnf(c_0_1344,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_1058,
    [final] ).

cnf(c_0_1345,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    c_0_1059,
    [final] ).

cnf(c_0_1346,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    c_0_1060,
    [final] ).

cnf(c_0_1347,plain,
    ( hBOOL(hAPP(X3,X1))
    | ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    c_0_1061,
    [final] ).

cnf(c_0_1348,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_1062,
    [final] ).

cnf(c_0_1349,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_1063,
    [final] ).

cnf(c_0_1350,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_1064,
    [final] ).

cnf(c_0_1351,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_1065,
    [final] ).

cnf(c_0_1352,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_1066,
    [final] ).

cnf(c_0_1353,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_1067,
    [final] ).

cnf(c_0_1354,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_1068,
    [final] ).

cnf(c_0_1355,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_1069,
    [final] ).

cnf(c_0_1356,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_1070,
    [final] ).

cnf(c_0_1357,plain,
    ( c_in(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_1071,
    [final] ).

cnf(c_0_1358,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1072,
    [final] ).

cnf(c_0_1359,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1073,
    [final] ).

cnf(c_0_1360,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1074,
    [final] ).

cnf(c_0_1361,plain,
    ( c_List_Omember(X1,X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    c_0_1075,
    [final] ).

cnf(c_0_1362,plain,
    ( c_List_OListMem(X1,X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    c_0_1076,
    [final] ).

cnf(c_0_1363,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    c_0_1077,
    [final] ).

cnf(c_0_1364,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1078,
    [final] ).

cnf(c_0_1365,plain,
    ( c_in(c_Message_Omsg_OKey(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_1079,
    [final] ).

cnf(c_0_1366,plain,
    ( X1 = X2
    | c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
    c_0_1080,
    [final] ).

cnf(c_0_1367,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    c_0_1081,
    [final] ).

cnf(c_0_1368,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    c_0_1082,
    [final] ).

cnf(c_0_1369,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
    c_0_1083,
    [final] ).

cnf(c_0_1370,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
    c_0_1084,
    [final] ).

cnf(c_0_1371,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
    c_0_1085,
    [final] ).

cnf(c_0_1372,plain,
    ( c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),X2,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_1086,
    [final] ).

cnf(c_0_1373,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_1087,
    [final] ).

cnf(c_0_1374,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_1088,
    [final] ).

cnf(c_0_1375,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_1089,
    [final] ).

cnf(c_0_1376,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_1090,
    [final] ).

cnf(c_0_1377,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1091,
    [final] ).

cnf(c_0_1378,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1092,
    [final] ).

cnf(c_0_1379,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1093,
    [final] ).

cnf(c_0_1380,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1094,
    [final] ).

cnf(c_0_1381,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_List_Omember(X1,X2,X3) ),
    c_0_1095,
    [final] ).

cnf(c_0_1382,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_List_OListMem(X1,X2,X3) ),
    c_0_1096,
    [final] ).

cnf(c_0_1383,plain,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_1097,
    [final] ).

cnf(c_0_1384,plain,
    ( c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    c_0_1098,
    [final] ).

cnf(c_0_1385,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1099,
    [final] ).

cnf(c_0_1386,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1100,
    [final] ).

cnf(c_0_1387,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_1101,
    [final] ).

cnf(c_0_1388,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1102,
    [final] ).

cnf(c_0_1389,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1103,
    [final] ).

cnf(c_0_1390,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1104,
    [final] ).

cnf(c_0_1391,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_1105,
    [final] ).

cnf(c_0_1392,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_1106,
    [final] ).

cnf(c_0_1393,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_1107,
    [final] ).

cnf(c_0_1394,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    c_0_1108,
    [final] ).

cnf(c_0_1395,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_OremoveAll(X1,X2,X3) = X2 ),
    c_0_1109,
    [final] ).

cnf(c_0_1396,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1110,
    [final] ).

cnf(c_0_1397,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    c_0_1111,
    [final] ).

cnf(c_0_1398,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_1112,
    [final] ).

cnf(c_0_1399,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_1113,
    [final] ).

cnf(c_0_1400,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_1114,
    [final] ).

cnf(c_0_1401,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_1115,
    [final] ).

cnf(c_0_1402,plain,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1116,
    [final] ).

cnf(c_0_1403,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    c_0_1117,
    [final] ).

cnf(c_0_1404,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1118,
    [final] ).

cnf(c_0_1405,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1119,
    [final] ).

cnf(c_0_1406,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    c_0_1120,
    [final] ).

cnf(c_0_1407,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    c_0_1121,
    [final] ).

cnf(c_0_1408,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_1122,
    [final] ).

cnf(c_0_1409,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_1123,
    [final] ).

cnf(c_0_1410,plain,
    ( X1 = X2
    | c_Public_OpublicKey(X1,X3) != c_Public_OpublicKey(X2,X4) ),
    c_0_1124,
    [final] ).

cnf(c_0_1411,plain,
    ( X1 = X2
    | c_Public_OpublicKey(X3,X1) != c_Public_OpublicKey(X4,X2) ),
    c_0_1125,
    [final] ).

cnf(c_0_1412,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
    c_0_1126,
    [final] ).

cnf(c_0_1413,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
    c_0_1127,
    [final] ).

cnf(c_0_1414,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
    c_0_1128,
    [final] ).

cnf(c_0_1415,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
    c_0_1129,
    [final] ).

cnf(c_0_1416,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
    c_0_1130,
    [final] ).

cnf(c_0_1417,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
    c_0_1131,
    [final] ).

cnf(c_0_1418,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
    c_0_1132,
    [final] ).

cnf(c_0_1419,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
    c_0_1133,
    [final] ).

cnf(c_0_1420,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1134,
    [final] ).

cnf(c_0_1421,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1135,
    [final] ).

cnf(c_0_1422,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_1136,
    [final] ).

cnf(c_0_1423,plain,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1137,
    [final] ).

cnf(c_0_1424,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    c_0_1138,
    [final] ).

cnf(c_0_1425,plain,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    c_0_1139,
    [final] ).

cnf(c_0_1426,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    c_0_1140,
    [final] ).

cnf(c_0_1427,plain,
    ( X1 = X2
    | c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
    c_0_1141,
    [final] ).

cnf(c_0_1428,plain,
    ( X1 = X2
    | c_Public_OshrK(X1) != c_Public_OshrK(X2) ),
    c_0_1142,
    [final] ).

cnf(c_0_1429,plain,
    ( X1 = X2
    | c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2) ),
    c_0_1143,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1144_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_Map_Omap__upds(X4,X2,X5,X1,X3,X6) = hAPP(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1144]) ).

cnf(c_0_1144_1,axiom,
    ( c_Map_Omap__upds(X4,X2,X5,X1,X3,X6) = hAPP(X4,X1)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1144]) ).

cnf(c_0_1145_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_1145]) ).

cnf(c_0_1145_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_1145]) ).

cnf(c_0_1146_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_1146]) ).

cnf(c_0_1146_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_1146]) ).

cnf(c_0_1147_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_1147]) ).

cnf(c_0_1147_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_1147]) ).

cnf(c_0_1148_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_1148]) ).

cnf(c_0_1148_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_1148]) ).

cnf(c_0_1149_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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1149]) ).

cnf(c_0_1149_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(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_1149]) ).

cnf(c_0_1150_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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1150]) ).

cnf(c_0_1150_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(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_1150]) ).

cnf(c_0_1151_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_1151]) ).

cnf(c_0_1151_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_1151]) ).

cnf(c_0_1151_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_1151]) ).

cnf(c_0_1152_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_1152]) ).

cnf(c_0_1152_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_1152]) ).

cnf(c_0_1152_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_1152]) ).

cnf(c_0_1153_0,axiom,
    ( hAPP(X4,X1) = hAPP(X5,X1)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Omap(X4,X2,X3,X6) != c_List_Omap(X5,X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1153_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hAPP(X4,X1) = hAPP(X5,X1)
    | c_List_Omap(X4,X2,X3,X6) != c_List_Omap(X5,X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1153_2,axiom,
    ( c_List_Omap(X4,X2,X3,X6) != c_List_Omap(X5,X2,X3,X6)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hAPP(X4,X1) = hAPP(X5,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1154_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_1154]) ).

cnf(c_0_1154_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_1154]) ).

cnf(c_0_1155_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_1155]) ).

cnf(c_0_1155_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_1155]) ).

cnf(c_0_1156_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_1156]) ).

cnf(c_0_1156_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_1156]) ).

cnf(c_0_1156_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_1156]) ).

cnf(c_0_1157_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_1157]) ).

cnf(c_0_1157_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_1157]) ).

cnf(c_0_1157_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_1157]) ).

cnf(c_0_1158_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_1158]) ).

cnf(c_0_1158_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_1158]) ).

cnf(c_0_1158_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_1158]) ).

cnf(c_0_1159_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_1159]) ).

cnf(c_0_1159_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_1159]) ).

cnf(c_0_1159_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_1159]) ).

cnf(c_0_1160_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_1160]) ).

cnf(c_0_1160_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_1160]) ).

cnf(c_0_1160_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_1160]) ).

cnf(c_0_1161_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_1161]) ).

cnf(c_0_1161_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_1161]) ).

cnf(c_0_1161_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_1161]) ).

cnf(c_0_1161_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_1161]) ).

cnf(c_0_1161_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_1161]) ).

cnf(c_0_1161_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_1161]) ).

cnf(c_0_1162_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_1162]) ).

cnf(c_0_1162_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_1162]) ).

cnf(c_0_1162_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_1162]) ).

cnf(c_0_1163_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_1163]) ).

cnf(c_0_1163_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_1163]) ).

cnf(c_0_1164_0,axiom,
    ( c_in(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(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_1164]) ).

cnf(c_0_1164_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(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(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_1164]) ).

cnf(c_0_1164_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(c_Message_Omsg_OKey(X4),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(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_1164]) ).

cnf(c_0_1164_3,axiom,
    ( ~ c_in(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(c_Message_Omsg_OKey(X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1165_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__iff__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1165_1,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__iff__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1165_2,axiom,
    ( ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__iff__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1165_3,axiom,
    ( ~ hBOOL(hAPP(X4,X5))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__iff__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1166_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1166_1,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1166_2,axiom,
    ( ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1166_3,axiom,
    ( ~ hBOOL(hAPP(X4,X5))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__prop__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1167_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__iff__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1167_1,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__iff__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1167_2,axiom,
    ( ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__iff__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1167_3,axiom,
    ( ~ hBOOL(hAPP(X4,X5))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__iff__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1168_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__propE__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1168]) ).

cnf(c_0_1168_1,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__propE__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1168]) ).

cnf(c_0_1168_2,axiom,
    ( ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__propE__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1168]) ).

cnf(c_0_1168_3,axiom,
    ( ~ hBOOL(hAPP(X4,X5))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__propE__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1168]) ).

cnf(c_0_1169_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1169_1,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1169_2,axiom,
    ( ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1169_3,axiom,
    ( ~ hBOOL(hAPP(X4,X5))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__last__prop__1__3(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1170_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1170_1,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1170_2,axiom,
    ( ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1170_3,axiom,
    ( ~ hBOOL(hAPP(X4,X5))
    | ~ c_in(X5,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(X4,X2,X3),X3),X3)
    | ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1171_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_1171]) ).

cnf(c_0_1171_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_1171]) ).

cnf(c_0_1171_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_1171]) ).

cnf(c_0_1172_0,axiom,
    ( c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1172_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),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_1172]) ).

cnf(c_0_1173_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_1173]) ).

cnf(c_0_1173_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_1173]) ).

cnf(c_0_1173_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_1173]) ).

cnf(c_0_1174_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_1174]) ).

cnf(c_0_1174_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_1174]) ).

cnf(c_0_1174_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_1174]) ).

cnf(c_0_1174_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_1174]) ).

cnf(c_0_1175_0,axiom,
    ( c_in(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(c_Message_Omsg_OKey(X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(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(c_Message_Omsg_OKey(X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_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(c_Message_Omsg_OKey(X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_3,axiom,
    ( ~ c_in(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(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_1175]) ).

cnf(c_0_1176_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_1176]) ).

cnf(c_0_1176_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_1176]) ).

cnf(c_0_1177_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xsplit__list__first__1__1(X1,X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1177]) ).

cnf(c_0_1177_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xsplit__list__first__1__1(X1,X2,X3),X3),X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1177]) ).

cnf(c_0_1178_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__first__1__1(X1,X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1178_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__first__1__1(X1,X2,X3),X3),X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1179_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__last__1__2(X1,X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1179_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xin__set__conv__decomp__last__1__2(X1,X2,X3),X3),X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1180_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xsplit__list__last__1__2(X1,X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1180]) ).

cnf(c_0_1180_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Osko__List__Xsplit__list__last__1__2(X1,X2,X3),X3),X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1180]) ).

cnf(c_0_1181_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_1181]) ).

cnf(c_0_1181_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_1181]) ).

cnf(c_0_1181_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_1181]) ).

cnf(c_0_1182_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_1182]) ).

cnf(c_0_1182_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_1182]) ).

cnf(c_0_1182_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_1182]) ).

cnf(c_0_1183_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_1183]) ).

cnf(c_0_1183_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_1183]) ).

cnf(c_0_1183_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_1183]) ).

cnf(c_0_1184_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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1184]) ).

cnf(c_0_1184_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(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_1184]) ).

cnf(c_0_1185_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_1185]) ).

cnf(c_0_1185_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_1185]) ).

cnf(c_0_1185_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_1185]) ).

cnf(c_0_1186_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_1186]) ).

cnf(c_0_1186_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_1186]) ).

cnf(c_0_1186_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_1186]) ).

cnf(c_0_1187_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_1187]) ).

cnf(c_0_1187_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_1187]) ).

cnf(c_0_1188_0,axiom,
    ( c_in(X1,X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,v_sko__Message__Xparts__Xcases__1(X2,X1)),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_sko__Message__Xparts__Xcases__2(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_sko__Message__Xparts__Xcases__3(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1188_1,axiom,
    ( c_in(c_Message_Omsg_OMPair(X1,v_sko__Message__Xparts__Xcases__1(X2,X1)),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_sko__Message__Xparts__Xcases__2(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_sko__Message__Xparts__Xcases__3(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1188_2,axiom,
    ( c_in(c_Message_Omsg_OMPair(v_sko__Message__Xparts__Xcases__2(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,v_sko__Message__Xparts__Xcases__1(X2,X1)),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_sko__Message__Xparts__Xcases__3(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1188_3,axiom,
    ( c_in(c_Message_Omsg_OCrypt(v_sko__Message__Xparts__Xcases__3(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_sko__Message__Xparts__Xcases__2(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,v_sko__Message__Xparts__Xcases__1(X2,X1)),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,X2,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1188_4,axiom,
    ( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_sko__Message__Xparts__Xcases__3(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_sko__Message__Xparts__Xcases__2(X2,X1),X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,v_sko__Message__Xparts__Xcases__1(X2,X1)),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1189_0,axiom,
    ( X1 = X2
    | c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1189]) ).

cnf(c_0_1189_1,axiom,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | X1 = X2
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1189]) ).

cnf(c_0_1189_2,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4)
    | c_in(X1,c_List_Oset(X3,X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1189]) ).

cnf(c_0_1190_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_1190]) ).

cnf(c_0_1190_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_1190]) ).

cnf(c_0_1190_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_1190]) ).

cnf(c_0_1191_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X4,X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1191]) ).

cnf(c_0_1191_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Oremove1(X4,X2,X3),X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1191]) ).

cnf(c_0_1192_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X4,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1192]) ).

cnf(c_0_1192_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X4,X3),X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1192]) ).

cnf(c_0_1193_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1193]) ).

cnf(c_0_1193_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X3,X4),X4),X4)
    | c_in(X1,c_List_Oset(X2,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1193]) ).

cnf(c_0_1194_0,axiom,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Otake(X2,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1194]) ).

cnf(c_0_1194_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Otake(X2,X3,X4),X4),X4)
    | c_in(X1,c_List_Oset(X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1194]) ).

cnf(c_0_1195_0,axiom,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Odrop(X2,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1195]) ).

cnf(c_0_1195_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Odrop(X2,X3,X4),X4),X4)
    | c_in(X1,c_List_Oset(X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1195]) ).

cnf(c_0_1196_0,axiom,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X2,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1196]) ).

cnf(c_0_1196_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X2,X3,X4),X4),X4)
    | c_in(X1,c_List_Oset(X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1196]) ).

cnf(c_0_1197_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_1197]) ).

cnf(c_0_1197_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_1197]) ).

cnf(c_0_1198_0,axiom,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X2,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1198]) ).

cnf(c_0_1198_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X2,X3,X4),X4),X4)
    | hBOOL(hAPP(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1198]) ).

cnf(c_0_1199_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_1199]) ).

cnf(c_0_1199_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_1199]) ).

cnf(c_0_1199_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_1199]) ).

cnf(c_0_1200_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_1200]) ).

cnf(c_0_1200_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_1200]) ).

cnf(c_0_1200_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_1200]) ).

cnf(c_0_1201_0,axiom,
    ( X1 = X3
    | ~ c_in(X1,c_List_Oset(c_List_Oreplicate(X2,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1201]) ).

cnf(c_0_1201_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Oreplicate(X2,X3,X4),X4),X4)
    | X1 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1201]) ).

cnf(c_0_1202_0,axiom,
    ( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(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_1202]) ).

cnf(c_0_1202_1,axiom,
    ( ~ c_in(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_OKey(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_1202]) ).

cnf(c_0_1202_2,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(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_1202]) ).

cnf(c_0_1202_3,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(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_1202]) ).

cnf(c_0_1203_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_1203]) ).

cnf(c_0_1203_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_1203]) ).

cnf(c_0_1204_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_1204]) ).

cnf(c_0_1204_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_1204]) ).

cnf(c_0_1205_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_1205]) ).

cnf(c_0_1205_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_1205]) ).

cnf(c_0_1206_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_1206]) ).

cnf(c_0_1206_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_1206]) ).

cnf(c_0_1206_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_1206]) ).

cnf(c_0_1207_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(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_1207]) ).

cnf(c_0_1207_1,axiom,
    ( ~ c_in(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(c_Message_Omsg_OKey(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_1207]) ).

cnf(c_0_1207_2,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(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_1207]) ).

cnf(c_0_1207_3,axiom,
    ( ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(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_1207]) ).

cnf(c_0_1208_0,axiom,
    ( X1 = X2
    | c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4)
    | ~ c_in(X1,c_List_Oset(X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1208]) ).

cnf(c_0_1208_1,axiom,
    ( c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4)
    | X1 = X2
    | ~ c_in(X1,c_List_Oset(X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1208]) ).

cnf(c_0_1208_2,axiom,
    ( ~ c_in(X1,c_List_Oset(X3,X4),X4)
    | c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1208]) ).

cnf(c_0_1209_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_1209]) ).

cnf(c_0_1209_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_1209]) ).

cnf(c_0_1209_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_1209]) ).

cnf(c_0_1210_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_1210]) ).

cnf(c_0_1210_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_1210]) ).

cnf(c_0_1210_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_1210]) ).

cnf(c_0_1211_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_1211]) ).

cnf(c_0_1211_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_1211]) ).

cnf(c_0_1212_0,axiom,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__prop__iff__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1212]) ).

cnf(c_0_1212_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__prop__iff__1__2(X4,X2,X3)))
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1212]) ).

cnf(c_0_1212_2,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__prop__iff__1__2(X4,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1212]) ).

cnf(c_0_1213_0,axiom,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__prop__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1213]) ).

cnf(c_0_1213_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__prop__1__2(X4,X2,X3)))
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1213]) ).

cnf(c_0_1213_2,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__prop__1__2(X4,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1213]) ).

cnf(c_0_1214_0,axiom,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__propE__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1214]) ).

cnf(c_0_1214_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__propE__1__2(X4,X2,X3)))
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1214]) ).

cnf(c_0_1214_2,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__propE__1__2(X4,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1214]) ).

cnf(c_0_1215_0,axiom,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__propE__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1215]) ).

cnf(c_0_1215_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__propE__1__2(X4,X2,X3)))
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1215]) ).

cnf(c_0_1215_2,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__propE__1__2(X4,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1215]) ).

cnf(c_0_1216_0,axiom,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__propE__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1216]) ).

cnf(c_0_1216_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__propE__1__2(X4,X2,X3)))
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1216]) ).

cnf(c_0_1216_2,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__propE__1__2(X4,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1216]) ).

cnf(c_0_1217_0,axiom,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__prop__iff__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1217]) ).

cnf(c_0_1217_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__prop__iff__1__2(X4,X2,X3)))
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1217]) ).

cnf(c_0_1217_2,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__first__prop__iff__1__2(X4,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1217]) ).

cnf(c_0_1218_0,axiom,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__prop__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1218]) ).

cnf(c_0_1218_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__prop__1__2(X4,X2,X3)))
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1218]) ).

cnf(c_0_1218_2,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__last__prop__1__2(X4,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1218]) ).

cnf(c_0_1219_0,axiom,
    ( hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__prop__1__2(X4,X2,X3)))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1219]) ).

cnf(c_0_1219_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__prop__1__2(X4,X2,X3)))
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1219]) ).

cnf(c_0_1219_2,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,c_List_Osko__List__Xsplit__list__prop__1__2(X4,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1219]) ).

cnf(c_0_1220_0,axiom,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1220]) ).

cnf(c_0_1220_1,axiom,
    ( hBOOL(hAPP(X2,X4))
    | X1 = X4
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1220]) ).

cnf(c_0_1220_2,axiom,
    ( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | hBOOL(hAPP(X2,X4))
    | X1 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1220]) ).

cnf(c_0_1221_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_1221]) ).

cnf(c_0_1221_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_1221]) ).

cnf(c_0_1222_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(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_1222]) ).

cnf(c_0_1222_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(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_1222]) ).

cnf(c_0_1222_2,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(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_1222]) ).

cnf(c_0_1223_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_1223]) ).

cnf(c_0_1223_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_1223]) ).

cnf(c_0_1223_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_1223]) ).

cnf(c_0_1224_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_1224]) ).

cnf(c_0_1224_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_1224]) ).

cnf(c_0_1225_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_1225]) ).

cnf(c_0_1225_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_1225]) ).

cnf(c_0_1226_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_1226]) ).

cnf(c_0_1226_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_1226]) ).

cnf(c_0_1227_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_1227]) ).

cnf(c_0_1227_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_1227]) ).

cnf(c_0_1228_0,axiom,
    ( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1228_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1229_0,axiom,
    ( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1229]) ).

cnf(c_0_1229_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1229]) ).

cnf(c_0_1230_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_1230]) ).

cnf(c_0_1230_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_1230]) ).

cnf(c_0_1231_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_1231]) ).

cnf(c_0_1231_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_1231]) ).

cnf(c_0_1232_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_1232]) ).

cnf(c_0_1232_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_1232]) ).

cnf(c_0_1233_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_1233]) ).

cnf(c_0_1233_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_1233]) ).

cnf(c_0_1233_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_1233]) ).

cnf(c_0_1234_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_1234]) ).

cnf(c_0_1234_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_1234]) ).

cnf(c_0_1234_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_1234]) ).

cnf(c_0_1235_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_1235]) ).

cnf(c_0_1235_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_1235]) ).

cnf(c_0_1236_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_1236]) ).

cnf(c_0_1236_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_1236]) ).

cnf(c_0_1237_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_1237]) ).

cnf(c_0_1237_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_1237]) ).

cnf(c_0_1238_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_1238]) ).

cnf(c_0_1238_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_1238]) ).

cnf(c_0_1239_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_1239]) ).

cnf(c_0_1239_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_1239]) ).

cnf(c_0_1239_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_1239]) ).

cnf(c_0_1239_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_1239]) ).

cnf(c_0_1240_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_1240]) ).

cnf(c_0_1240_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_1240]) ).

cnf(c_0_1240_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_1240]) ).

cnf(c_0_1240_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_1240]) ).

cnf(c_0_1241_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_1241]) ).

cnf(c_0_1241_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_1241]) ).

cnf(c_0_1241_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_1241]) ).

cnf(c_0_1241_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_1241]) ).

cnf(c_0_1242_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_1242]) ).

cnf(c_0_1242_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_1242]) ).

cnf(c_0_1243_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Olist__ex(X1,X3,X4)
    | ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1243]) ).

cnf(c_0_1243_1,axiom,
    ( c_List_Olist__ex(X1,X3,X4)
    | hBOOL(hAPP(X1,X2))
    | ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1243]) ).

cnf(c_0_1243_2,axiom,
    ( ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | c_List_Olist__ex(X1,X3,X4)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1243]) ).

cnf(c_0_1244_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_1244]) ).

cnf(c_0_1244_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_1244]) ).

cnf(c_0_1245_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1245]) ).

cnf(c_0_1245_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1245]) ).

cnf(c_0_1245_2,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(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_1245]) ).

cnf(c_0_1246_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_1246]) ).

cnf(c_0_1246_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_1246]) ).

cnf(c_0_1247_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_1247]) ).

cnf(c_0_1247_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_1247]) ).

cnf(c_0_1248_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_1248]) ).

cnf(c_0_1248_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_1248]) ).

cnf(c_0_1249_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_1249]) ).

cnf(c_0_1249_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_1249]) ).

cnf(c_0_1250_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_1250]) ).

cnf(c_0_1250_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_1250]) ).

cnf(c_0_1250_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_1250]) ).

cnf(c_0_1251_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_1251]) ).

cnf(c_0_1251_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_1251]) ).

cnf(c_0_1252_0,axiom,
    ( X1 = X2
    | c_List_OremoveAll(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OremoveAll(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1252]) ).

cnf(c_0_1252_1,axiom,
    ( c_List_OremoveAll(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OremoveAll(X1,X3,X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1252]) ).

cnf(c_0_1253_0,axiom,
    ( X1 = X2
    | c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1253]) ).

cnf(c_0_1253_1,axiom,
    ( c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1253]) ).

cnf(c_0_1254_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_1254]) ).

cnf(c_0_1254_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_1254]) ).

cnf(c_0_1254_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_1254]) ).

cnf(c_0_1255_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_1255]) ).

cnf(c_0_1255_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_1255]) ).

cnf(c_0_1255_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_1255]) ).

cnf(c_0_1256_0,axiom,
    ( c_in(c_Message_Omsg_OKey(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_1256]) ).

cnf(c_0_1256_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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1256]) ).

cnf(c_0_1257_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_1257]) ).

cnf(c_0_1257_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_1257]) ).

cnf(c_0_1257_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_1257]) ).

cnf(c_0_1258_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1258]) ).

cnf(c_0_1258_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1258]) ).

cnf(c_0_1258_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1258]) ).

cnf(c_0_1258_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1258]) ).

cnf(c_0_1259_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1259]) ).

cnf(c_0_1259_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1259]) ).

cnf(c_0_1259_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1259]) ).

cnf(c_0_1259_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1259]) ).

cnf(c_0_1260_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_1260]) ).

cnf(c_0_1260_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_1260]) ).

cnf(c_0_1260_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_1260]) ).

cnf(c_0_1261_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_1261]) ).

cnf(c_0_1261_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_1261]) ).

cnf(c_0_1261_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_1261]) ).

cnf(c_0_1262_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_1262]) ).

cnf(c_0_1262_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_1262]) ).

cnf(c_0_1262_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_1262]) ).

cnf(c_0_1263_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_1263]) ).

cnf(c_0_1263_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_1263]) ).

cnf(c_0_1263_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_1263]) ).

cnf(c_0_1264_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_1264]) ).

cnf(c_0_1264_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_1264]) ).

cnf(c_0_1264_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_1264]) ).

cnf(c_0_1265_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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1265]) ).

cnf(c_0_1265_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(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1265]) ).

cnf(c_0_1265_2,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(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_1265]) ).

cnf(c_0_1266_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_1266]) ).

cnf(c_0_1266_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_1266]) ).

cnf(c_0_1266_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_1266]) ).

cnf(c_0_1267_0,axiom,
    ( X1 = X2
    | c_List_Omember(X1,X3,X4)
    | ~ c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1267]) ).

cnf(c_0_1267_1,axiom,
    ( c_List_Omember(X1,X3,X4)
    | X1 = X2
    | ~ c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1267]) ).

cnf(c_0_1267_2,axiom,
    ( ~ c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | c_List_Omember(X1,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1267]) ).

cnf(c_0_1268_0,axiom,
    ( c_List_Olist__all(X1,X3,X4)
    | ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1268]) ).

cnf(c_0_1268_1,axiom,
    ( ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | c_List_Olist__all(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1268]) ).

cnf(c_0_1269_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_1269]) ).

cnf(c_0_1269_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_1269]) ).

cnf(c_0_1270_0,axiom,
    ( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_List_Olist__all(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1270_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ c_List_Olist__all(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1270_2,axiom,
    ( ~ c_List_Olist__all(X1,X3,X4)
    | ~ hBOOL(hAPP(X1,X2))
    | c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1271_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_1271]) ).

cnf(c_0_1271_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_1271]) ).

cnf(c_0_1272_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_1272]) ).

cnf(c_0_1272_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_1272]) ).

cnf(c_0_1273_0,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1273]) ).

cnf(c_0_1273_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1273]) ).

cnf(c_0_1274_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Obutlast(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1274]) ).

cnf(c_0_1274_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Obutlast(X2,X3),X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1274]) ).

cnf(c_0_1275_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1275]) ).

cnf(c_0_1275_1,axiom,
    ( ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1275]) ).

cnf(c_0_1276_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_1276]) ).

cnf(c_0_1276_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_1276]) ).

cnf(c_0_1276_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_1276]) ).

cnf(c_0_1276_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_1276]) ).

cnf(c_0_1277_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_1277]) ).

cnf(c_0_1277_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_1277]) ).

cnf(c_0_1277_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_1277]) ).

cnf(c_0_1278_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_1278]) ).

cnf(c_0_1278_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_1278]) ).

cnf(c_0_1278_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_1278]) ).

cnf(c_0_1279_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_1279]) ).

cnf(c_0_1279_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_1279]) ).

cnf(c_0_1279_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_1279]) ).

cnf(c_0_1280_0,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(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_1280]) ).

cnf(c_0_1280_1,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X2,X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1280]) ).

cnf(c_0_1281_0,axiom,
    ( c_in(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_1281]) ).

cnf(c_0_1281_1,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | c_in(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_1281]) ).

cnf(c_0_1281_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(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1281]) ).

cnf(c_0_1282_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(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_1282]) ).

cnf(c_0_1282_1,axiom,
    ( c_in(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_1282]) ).

cnf(c_0_1282_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(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_1282]) ).

cnf(c_0_1283_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_1283]) ).

cnf(c_0_1283_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_1283]) ).

cnf(c_0_1283_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_1283]) ).

cnf(c_0_1284_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_1284]) ).

cnf(c_0_1284_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_1284]) ).

cnf(c_0_1284_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_1284]) ).

cnf(c_0_1285_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_1285]) ).

cnf(c_0_1285_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_1285]) ).

cnf(c_0_1285_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_1285]) ).

cnf(c_0_1286_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(c_Message_Omsg_OKey(X3),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1286]) ).

cnf(c_0_1286_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(c_Message_Omsg_OKey(X3),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1286]) ).

cnf(c_0_1286_2,axiom,
    ( ~ c_in(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_1286]) ).

cnf(c_0_1287_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_1287]) ).

cnf(c_0_1287_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_1287]) ).

cnf(c_0_1287_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_1287]) ).

cnf(c_0_1288_0,axiom,
    ( c_in(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_1288]) ).

cnf(c_0_1288_1,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(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_1288]) ).

cnf(c_0_1288_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(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1288]) ).

cnf(c_0_1289_0,axiom,
    ( c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Oreplicate(X3,X2,X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1289]) ).

cnf(c_0_1289_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Oreplicate(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1289]) ).

cnf(c_0_1290_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_1290]) ).

cnf(c_0_1290_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_1290]) ).

cnf(c_0_1290_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_1290]) ).

cnf(c_0_1291_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_1291]) ).

cnf(c_0_1291_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_1291]) ).

cnf(c_0_1291_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_1291]) ).

cnf(c_0_1292_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_1292]) ).

cnf(c_0_1292_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_1292]) ).

cnf(c_0_1292_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_1292]) ).

cnf(c_0_1293_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_1293]) ).

cnf(c_0_1293_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_1293]) ).

cnf(c_0_1293_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_1293]) ).

cnf(c_0_1294_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_1294]) ).

cnf(c_0_1294_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_1294]) ).

cnf(c_0_1294_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_1294]) ).

cnf(c_0_1295_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_1295]) ).

cnf(c_0_1295_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_1295]) ).

cnf(c_0_1295_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_1295]) ).

cnf(c_0_1296_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_1296]) ).

cnf(c_0_1296_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_1296]) ).

cnf(c_0_1297_0,axiom,
    ( c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_Olist__ex(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1297]) ).

cnf(c_0_1297_1,axiom,
    ( ~ c_List_Olist__ex(X1,X2,X3)
    | c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1297]) ).

cnf(c_0_1298_0,axiom,
    ( c_List_OListMem(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_OListMem(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1298]) ).

cnf(c_0_1298_1,axiom,
    ( ~ c_List_OListMem(X1,X2,X3)
    | c_List_OListMem(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1298]) ).

cnf(c_0_1299_0,axiom,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1299]) ).

cnf(c_0_1299_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1299]) ).

cnf(c_0_1300_0,axiom,
    ( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1300]) ).

cnf(c_0_1300_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1300]) ).

cnf(c_0_1301_0,axiom,
    ( c_List_Omember(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_Omember(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1301]) ).

cnf(c_0_1301_1,axiom,
    ( ~ c_List_Omember(X1,X2,X3)
    | c_List_Omember(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1301]) ).

cnf(c_0_1302_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_1302]) ).

cnf(c_0_1302_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_1302]) ).

cnf(c_0_1302_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_1302]) ).

cnf(c_0_1303_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_1303]) ).

cnf(c_0_1303_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_1303]) ).

cnf(c_0_1303_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_1303]) ).

cnf(c_0_1304_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_List_OremoveAll(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1304]) ).

cnf(c_0_1304_1,axiom,
    ( c_List_OremoveAll(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1304]) ).

cnf(c_0_1305_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1305]) ).

cnf(c_0_1305_1,axiom,
    ( c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1305]) ).

cnf(c_0_1306_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1306]) ).

cnf(c_0_1306_1,axiom,
    ( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1306]) ).

cnf(c_0_1307_0,axiom,
    ( hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_OtakeWhile(X4,X2,X3) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1307]) ).

cnf(c_0_1307_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,X1))
    | c_List_OtakeWhile(X4,X2,X3) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1307]) ).

cnf(c_0_1307_2,axiom,
    ( c_List_OtakeWhile(X4,X2,X3) != X2
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1307]) ).

cnf(c_0_1308_0,axiom,
    ( hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Ofilter(X4,X2,X3) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1308]) ).

cnf(c_0_1308_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,X1))
    | c_List_Ofilter(X4,X2,X3) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1308]) ).

cnf(c_0_1308_2,axiom,
    ( c_List_Ofilter(X4,X2,X3) != X2
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1308]) ).

cnf(c_0_1309_0,axiom,
    ( hBOOL(hAPP(X1,X4))
    | ~ c_List_Olist__all(X1,X2,X3)
    | ~ c_in(X4,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1309]) ).

cnf(c_0_1309_1,axiom,
    ( ~ c_List_Olist__all(X1,X2,X3)
    | hBOOL(hAPP(X1,X4))
    | ~ c_in(X4,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1309]) ).

cnf(c_0_1309_2,axiom,
    ( ~ c_in(X4,c_List_Oset(X2,X3),X3)
    | ~ c_List_Olist__all(X1,X2,X3)
    | hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1309]) ).

cnf(c_0_1310_0,axiom,
    ( hBOOL(hAPP(X1,X4))
    | ~ c_List_Olistsp(X1,X2,X3)
    | ~ c_in(X4,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1310]) ).

cnf(c_0_1310_1,axiom,
    ( ~ c_List_Olistsp(X1,X2,X3)
    | hBOOL(hAPP(X1,X4))
    | ~ c_in(X4,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1310]) ).

cnf(c_0_1310_2,axiom,
    ( ~ c_in(X4,c_List_Oset(X2,X3),X3)
    | ~ c_List_Olistsp(X1,X2,X3)
    | hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1310]) ).

cnf(c_0_1311_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_1311]) ).

cnf(c_0_1311_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_1311]) ).

cnf(c_0_1311_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_1311]) ).

cnf(c_0_1312_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_1312]) ).

cnf(c_0_1312_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_1312]) ).

cnf(c_0_1312_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_1312]) ).

cnf(c_0_1313_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_1313]) ).

cnf(c_0_1313_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_1313]) ).

cnf(c_0_1314_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_1314]) ).

cnf(c_0_1314_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_1314]) ).

cnf(c_0_1314_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_1314]) ).

cnf(c_0_1314_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_1314]) ).

cnf(c_0_1315_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_1315]) ).

cnf(c_0_1315_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_1315]) ).

cnf(c_0_1315_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_1315]) ).

cnf(c_0_1315_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_1315]) ).

cnf(c_0_1316_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_1316]) ).

cnf(c_0_1316_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_1316]) ).

cnf(c_0_1317_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_1317]) ).

cnf(c_0_1317_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_1317]) ).

cnf(c_0_1318_0,axiom,
    ( c_List_Olist__ex(X4,X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1318]) ).

cnf(c_0_1318_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Olist__ex(X4,X2,X3)
    | ~ hBOOL(hAPP(X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1318]) ).

cnf(c_0_1318_2,axiom,
    ( ~ hBOOL(hAPP(X4,X1))
    | ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Olist__ex(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1318]) ).

cnf(c_0_1319_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_1319]) ).

cnf(c_0_1319_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_1319]) ).

cnf(c_0_1320_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_1320]) ).

cnf(c_0_1320_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_1320]) ).

cnf(c_0_1321_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_1321]) ).

cnf(c_0_1321_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_1321]) ).

cnf(c_0_1322_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_1322]) ).

cnf(c_0_1322_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_1322]) ).

cnf(c_0_1323_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_1323]) ).

cnf(c_0_1323_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_1323]) ).

cnf(c_0_1324_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_1324]) ).

cnf(c_0_1324_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_1324]) ).

cnf(c_0_1325_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_1325]) ).

cnf(c_0_1325_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_1325]) ).

cnf(c_0_1326_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_1326]) ).

cnf(c_0_1326_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_1326]) ).

cnf(c_0_1327_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_1327]) ).

cnf(c_0_1327_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_1327]) ).

cnf(c_0_1328_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_1328]) ).

cnf(c_0_1328_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_1328]) ).

cnf(c_0_1329_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_1329]) ).

cnf(c_0_1329_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_1329]) ).

cnf(c_0_1330_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_1330]) ).

cnf(c_0_1330_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_1330]) ).

cnf(c_0_1331_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_1331]) ).

cnf(c_0_1331_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_1331]) ).

cnf(c_0_1332_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_1332]) ).

cnf(c_0_1332_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_1332]) ).

cnf(c_0_1333_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_1333]) ).

cnf(c_0_1333_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_1333]) ).

cnf(c_0_1334_0,axiom,
    ( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1334]) ).

cnf(c_0_1334_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1334]) ).

cnf(c_0_1335_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_1335]) ).

cnf(c_0_1335_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_1335]) ).

cnf(c_0_1336_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_1336]) ).

cnf(c_0_1336_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_1336]) ).

cnf(c_0_1337_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_1337]) ).

cnf(c_0_1337_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_1337]) ).

cnf(c_0_1338_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_1338]) ).

cnf(c_0_1338_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_1338]) ).

cnf(c_0_1339_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_1339]) ).

cnf(c_0_1339_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_1339]) ).

cnf(c_0_1340_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1340]) ).

cnf(c_0_1340_1,axiom,
    ( c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1340]) ).

cnf(c_0_1341_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1341]) ).

cnf(c_0_1341_1,axiom,
    ( c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1341]) ).

cnf(c_0_1342_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_1342]) ).

cnf(c_0_1342_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_1342]) ).

cnf(c_0_1343_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_1343]) ).

cnf(c_0_1343_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_1343]) ).

cnf(c_0_1344_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_1344]) ).

cnf(c_0_1344_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_1344]) ).

cnf(c_0_1345_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_1345]) ).

cnf(c_0_1345_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_1345]) ).

cnf(c_0_1345_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_1345]) ).

cnf(c_0_1346_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_1346]) ).

cnf(c_0_1346_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_1346]) ).

cnf(c_0_1346_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_1346]) ).

cnf(c_0_1347_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_1347]) ).

cnf(c_0_1347_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_1347]) ).

cnf(c_0_1348_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_1348]) ).

cnf(c_0_1348_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_1348]) ).

cnf(c_0_1349_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_1349]) ).

cnf(c_0_1349_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_1349]) ).

cnf(c_0_1350_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_1350]) ).

cnf(c_0_1350_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_1350]) ).

cnf(c_0_1351_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_1351]) ).

cnf(c_0_1351_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_1351]) ).

cnf(c_0_1352_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_1352]) ).

cnf(c_0_1352_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_1352]) ).

cnf(c_0_1353_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_1353]) ).

cnf(c_0_1353_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_1353]) ).

cnf(c_0_1354_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_1354]) ).

cnf(c_0_1354_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_1354]) ).

cnf(c_0_1355_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_1355]) ).

cnf(c_0_1355_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_1355]) ).

cnf(c_0_1356_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_1356]) ).

cnf(c_0_1356_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_1356]) ).

cnf(c_0_1357_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_1357]) ).

cnf(c_0_1357_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_1357]) ).

cnf(c_0_1358_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_1358]) ).

cnf(c_0_1358_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_1358]) ).

cnf(c_0_1358_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_1358]) ).

cnf(c_0_1358_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_1358]) ).

cnf(c_0_1359_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_1359]) ).

cnf(c_0_1359_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_1359]) ).

cnf(c_0_1359_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_1359]) ).

cnf(c_0_1359_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_1359]) ).

cnf(c_0_1360_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_1360]) ).

cnf(c_0_1360_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_1360]) ).

cnf(c_0_1360_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_1360]) ).

cnf(c_0_1360_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_1360]) ).

cnf(c_0_1361_0,axiom,
    ( c_List_Omember(X1,X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1361]) ).

cnf(c_0_1361_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Omember(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1361]) ).

cnf(c_0_1362_0,axiom,
    ( c_List_OListMem(X1,X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1362]) ).

cnf(c_0_1362_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_OListMem(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1362]) ).

cnf(c_0_1363_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1363]) ).

cnf(c_0_1363_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1363]) ).

cnf(c_0_1363_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X4)
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1363]) ).

cnf(c_0_1364_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1364]) ).

cnf(c_0_1364_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1364]) ).

cnf(c_0_1364_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1364]) ).

cnf(c_0_1365_0,axiom,
    ( c_in(c_Message_Omsg_OKey(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_1365]) ).

cnf(c_0_1365_1,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1365]) ).

cnf(c_0_1366_0,axiom,
    ( X1 = X2
    | c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1366]) ).

cnf(c_0_1366_1,axiom,
    ( c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1366]) ).

cnf(c_0_1367_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_1367]) ).

cnf(c_0_1367_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_1367]) ).

cnf(c_0_1368_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_1368]) ).

cnf(c_0_1368_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_1368]) ).

cnf(c_0_1369_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_1369]) ).

cnf(c_0_1369_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_1369]) ).

cnf(c_0_1370_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_1370]) ).

cnf(c_0_1370_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_1370]) ).

cnf(c_0_1371_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_1371]) ).

cnf(c_0_1371_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_1371]) ).

cnf(c_0_1372_0,axiom,
    ( c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),X2,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1372]) ).

cnf(c_0_1372_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1372]) ).

cnf(c_0_1373_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_1373]) ).

cnf(c_0_1373_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_1373]) ).

cnf(c_0_1374_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_1374]) ).

cnf(c_0_1374_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_1374]) ).

cnf(c_0_1375_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_1375]) ).

cnf(c_0_1375_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_1375]) ).

cnf(c_0_1376_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_1376]) ).

cnf(c_0_1376_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_1376]) ).

cnf(c_0_1377_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_1377]) ).

cnf(c_0_1377_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_1377]) ).

cnf(c_0_1378_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_1378]) ).

cnf(c_0_1378_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_1378]) ).

cnf(c_0_1379_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_1379]) ).

cnf(c_0_1379_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_1379]) ).

cnf(c_0_1380_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_1380]) ).

cnf(c_0_1380_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_1380]) ).

cnf(c_0_1381_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_List_Omember(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1381]) ).

cnf(c_0_1381_1,axiom,
    ( ~ c_List_Omember(X1,X2,X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1381]) ).

cnf(c_0_1382_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_List_OListMem(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1382]) ).

cnf(c_0_1382_1,axiom,
    ( ~ c_List_OListMem(X1,X2,X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1382]) ).

cnf(c_0_1383_0,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1383]) ).

cnf(c_0_1383_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1383]) ).

cnf(c_0_1384_0,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1384]) ).

cnf(c_0_1384_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_1384]) ).

cnf(c_0_1385_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_1385]) ).

cnf(c_0_1385_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_1385]) ).

cnf(c_0_1386_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_1386]) ).

cnf(c_0_1386_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_1386]) ).

cnf(c_0_1387_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_1387]) ).

cnf(c_0_1387_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_1387]) ).

cnf(c_0_1388_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_1388]) ).

cnf(c_0_1388_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_1388]) ).

cnf(c_0_1388_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_1388]) ).

cnf(c_0_1389_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_1389]) ).

cnf(c_0_1389_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_1389]) ).

cnf(c_0_1389_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_1389]) ).

cnf(c_0_1390_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_1390]) ).

cnf(c_0_1390_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_1390]) ).

cnf(c_0_1390_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_1390]) ).

cnf(c_0_1391_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_1391]) ).

cnf(c_0_1391_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_1391]) ).

cnf(c_0_1392_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_1392]) ).

cnf(c_0_1392_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_1392]) ).

cnf(c_0_1393_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_1393]) ).

cnf(c_0_1393_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_1393]) ).

cnf(c_0_1394_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1394]) ).

cnf(c_0_1394_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1394]) ).

cnf(c_0_1395_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_OremoveAll(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1395]) ).

cnf(c_0_1395_1,axiom,
    ( c_List_OremoveAll(X1,X2,X3) = X2
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1395]) ).

cnf(c_0_1396_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1396]) ).

cnf(c_0_1396_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1396]) ).

cnf(c_0_1396_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1396]) ).

cnf(c_0_1397_0,axiom,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1397]) ).

cnf(c_0_1397_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | hBOOL(hAPP(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1397]) ).

cnf(c_0_1398_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_1398]) ).

cnf(c_0_1398_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_1398]) ).

cnf(c_0_1399_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_1399]) ).

cnf(c_0_1399_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_1399]) ).

cnf(c_0_1400_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_1400]) ).

cnf(c_0_1400_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_1400]) ).

cnf(c_0_1400_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_1400]) ).

cnf(c_0_1401_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_1401]) ).

cnf(c_0_1401_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_1401]) ).

cnf(c_0_1401_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_1401]) ).

cnf(c_0_1402_0,axiom,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1402]) ).

cnf(c_0_1402_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1402]) ).

cnf(c_0_1403_0,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1403]) ).

cnf(c_0_1403_1,axiom,
    ( ~ c_fequal(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1403]) ).

cnf(c_0_1404_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_1404]) ).

cnf(c_0_1404_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_1404]) ).

cnf(c_0_1405_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_1405]) ).

cnf(c_0_1405_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_1405]) ).

cnf(c_0_1406_0,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1406]) ).

cnf(c_0_1406_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1406]) ).

cnf(c_0_1407_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1407]) ).

cnf(c_0_1407_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1407]) ).

cnf(c_0_1408_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1408]) ).

cnf(c_0_1408_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1408]) ).

cnf(c_0_1409_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1409]) ).

cnf(c_0_1409_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1409]) ).

cnf(c_0_1410_0,axiom,
    ( X1 = X2
    | c_Public_OpublicKey(X1,X3) != c_Public_OpublicKey(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1410]) ).

cnf(c_0_1410_1,axiom,
    ( c_Public_OpublicKey(X1,X3) != c_Public_OpublicKey(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1410]) ).

cnf(c_0_1411_0,axiom,
    ( X1 = X2
    | c_Public_OpublicKey(X3,X1) != c_Public_OpublicKey(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1411]) ).

cnf(c_0_1411_1,axiom,
    ( c_Public_OpublicKey(X3,X1) != c_Public_OpublicKey(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1411]) ).

cnf(c_0_1412_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1412]) ).

cnf(c_0_1412_1,axiom,
    ( c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1412]) ).

cnf(c_0_1413_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1413]) ).

cnf(c_0_1413_1,axiom,
    ( c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1413]) ).

cnf(c_0_1414_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1414]) ).

cnf(c_0_1414_1,axiom,
    ( c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1414]) ).

cnf(c_0_1415_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1415]) ).

cnf(c_0_1415_1,axiom,
    ( c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1415]) ).

cnf(c_0_1416_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1416]) ).

cnf(c_0_1416_1,axiom,
    ( c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1416]) ).

cnf(c_0_1417_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1417]) ).

cnf(c_0_1417_1,axiom,
    ( c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1417]) ).

cnf(c_0_1418_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1418]) ).

cnf(c_0_1418_1,axiom,
    ( c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1418]) ).

cnf(c_0_1419_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1419]) ).

cnf(c_0_1419_1,axiom,
    ( c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1419]) ).

cnf(c_0_1420_0,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1420]) ).

cnf(c_0_1420_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Oupper__semilattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1420]) ).

cnf(c_0_1421_0,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1421]) ).

cnf(c_0_1421_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1421]) ).

cnf(c_0_1422_0,axiom,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1422]) ).

cnf(c_0_1422_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1422]) ).

cnf(c_0_1423_0,axiom,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1423]) ).

cnf(c_0_1423_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1423]) ).

cnf(c_0_1424_0,axiom,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1424]) ).

cnf(c_0_1424_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1424]) ).

cnf(c_0_1425_0,axiom,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1425]) ).

cnf(c_0_1425_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1425]) ).

cnf(c_0_1426_0,axiom,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1426]) ).

cnf(c_0_1426_1,axiom,
    ( ~ class_HOL_Oord(X1)
    | class_HOL_Oord(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1426]) ).

cnf(c_0_1427_0,axiom,
    ( X1 = X2
    | c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1427]) ).

cnf(c_0_1427_1,axiom,
    ( c_Message_OinvKey(X1) != c_Message_OinvKey(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1427]) ).

cnf(c_0_1428_0,axiom,
    ( X1 = X2
    | c_Public_OshrK(X1) != c_Public_OshrK(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1428]) ).

cnf(c_0_1428_1,axiom,
    ( c_Public_OshrK(X1) != c_Public_OshrK(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1428]) ).

cnf(c_0_1429_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1429]) ).

cnf(c_0_1429_1,axiom,
    ( c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1429]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_771,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_1_772,negated_conjecture,
    ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_2_773,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    c_0_0 ).

fof(c_0_3_774,negated_conjecture,
    ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_4_775,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    c_0_2 ).

fof(c_0_5_776,negated_conjecture,
    ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    c_0_3 ).

cnf(c_0_6_777,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_778,negated_conjecture,
    ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8_779,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    c_0_6,
    [final] ).

cnf(c_0_9_780,negated_conjecture,
    ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    c_0_7,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_542,plain,
    ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad08fb.p',c_0_1352_1) ).

cnf(c_1756,plain,
    ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(copy,[status(esa)],[c_542]) ).

cnf(c_196168,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[c_1756]) ).

cnf(c_117392,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[c_1756]) ).

cnf(c_541,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad08fb.p',c_0_1352_0) ).

cnf(c_1755,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(copy,[status(esa)],[c_541]) ).

cnf(c_67599,plain,
    ( c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[c_1755]) ).

cnf(c_545,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad08fb.p',c_0_1354_0) ).

cnf(c_1759,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(copy,[status(esa)],[c_545]) ).

cnf(c_64737,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[c_1759]) ).

cnf(c_226,plain,
    ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad08fb.p',c_0_1225_0) ).

cnf(c_1440,plain,
    ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    inference(copy,[status(esa)],[c_226]) ).

cnf(c_32618,plain,
    ( ~ c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[c_1440]) ).

cnf(c_865,negated_conjecture,
    ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad08fb.p',c_0_9) ).

cnf(c_866,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad08fb.p',c_0_8) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_196168,c_117392,c_67599,c_64737,c_32618,c_865,c_866]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV721-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : iprover_modulo %s %d
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun 15 01:29:32 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Running in mono-core mode
% 0.20/0.48  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.48  % Orientation found
% 0.20/0.48  % 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_6a08fc.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_ad08fb.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_213b66 | grep -v "SZS"
% 0.20/0.51  
% 0.20/0.51  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % ------  iProver source info 
% 0.20/0.51  
% 0.20/0.51  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.51  % git: non_committed_changes: true
% 0.20/0.51  % git: last_make_outside_of_git: true
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % ------ Input Options
% 0.20/0.51  
% 0.20/0.51  % --out_options                         all
% 0.20/0.51  % --tptp_safe_out                       true
% 0.20/0.51  % --problem_path                        ""
% 0.20/0.51  % --include_path                        ""
% 0.20/0.51  % --clausifier                          .//eprover
% 0.20/0.51  % --clausifier_options                  --tstp-format  
% 0.20/0.51  % --stdin                               false
% 0.20/0.51  % --dbg_backtrace                       false
% 0.20/0.51  % --dbg_dump_prop_clauses               false
% 0.20/0.51  % --dbg_dump_prop_clauses_file          -
% 0.20/0.51  % --dbg_out_stat                        false
% 0.20/0.51  
% 0.20/0.51  % ------ General Options
% 0.20/0.51  
% 0.20/0.51  % --fof                                 false
% 0.20/0.51  % --time_out_real                       150.
% 0.20/0.51  % --time_out_prep_mult                  0.2
% 0.20/0.51  % --time_out_virtual                    -1.
% 0.20/0.51  % --schedule                            none
% 0.20/0.51  % --ground_splitting                    input
% 0.20/0.51  % --splitting_nvd                       16
% 0.20/0.51  % --non_eq_to_eq                        false
% 0.20/0.51  % --prep_gs_sim                         true
% 0.20/0.51  % --prep_unflatten                      false
% 0.20/0.51  % --prep_res_sim                        true
% 0.20/0.51  % --prep_upred                          true
% 0.20/0.51  % --res_sim_input                       true
% 0.20/0.51  % --clause_weak_htbl                    true
% 0.20/0.51  % --gc_record_bc_elim                   false
% 0.20/0.51  % --symbol_type_check                   false
% 0.20/0.51  % --clausify_out                        false
% 0.20/0.51  % --large_theory_mode                   false
% 0.20/0.51  % --prep_sem_filter                     none
% 0.20/0.51  % --prep_sem_filter_out                 false
% 0.20/0.51  % --preprocessed_out                    false
% 0.20/0.51  % --sub_typing                          false
% 0.20/0.51  % --brand_transform                     false
% 0.20/0.51  % --pure_diseq_elim                     true
% 0.20/0.51  % --min_unsat_core                      false
% 0.20/0.51  % --pred_elim                           true
% 0.20/0.51  % --add_important_lit                   false
% 0.20/0.51  % --soft_assumptions                    false
% 0.20/0.51  % --reset_solvers                       false
% 0.20/0.51  % --bc_imp_inh                          []
% 0.20/0.51  % --conj_cone_tolerance                 1.5
% 0.20/0.51  % --prolific_symb_bound                 500
% 0.20/0.51  % --lt_threshold                        2000
% 0.20/0.51  
% 0.20/0.51  % ------ SAT Options
% 0.20/0.51  
% 0.20/0.51  % --sat_mode                            false
% 0.20/0.51  % --sat_fm_restart_options              ""
% 0.20/0.51  % --sat_gr_def                          false
% 0.20/0.51  % --sat_epr_types                       true
% 0.20/0.51  % --sat_non_cyclic_types                false
% 0.20/0.51  % --sat_finite_models                   false
% 0.20/0.51  % --sat_fm_lemmas                       false
% 0.20/0.51  % --sat_fm_prep                         false
% 0.20/0.51  % --sat_fm_uc_incr                      true
% 0.20/0.51  % --sat_out_model                       small
% 0.20/0.51  % --sat_out_clauses                     false
% 0.20/0.51  
% 0.20/0.51  % ------ QBF Options
% 0.20/0.51  
% 0.20/0.51  % --qbf_mode                            false
% 0.20/0.51  % --qbf_elim_univ                       true
% 0.20/0.51  % --qbf_sk_in                           true
% 0.20/0.51  % --qbf_pred_elim                       true
% 0.20/0.51  % --qbf_split                           32
% 0.20/0.51  
% 0.20/0.51  % ------ BMC1 Options
% 0.20/0.51  
% 0.20/0.51  % --bmc1_incremental                    false
% 0.20/0.51  % --bmc1_axioms                         reachable_all
% 0.20/0.51  % --bmc1_min_bound                      0
% 0.20/0.51  % --bmc1_max_bound                      -1
% 0.20/0.51  % --bmc1_max_bound_default              -1
% 0.20/0.51  % --bmc1_symbol_reachability            true
% 0.20/0.51  % --bmc1_property_lemmas                false
% 0.20/0.51  % --bmc1_k_induction                    false
% 0.20/0.51  % --bmc1_non_equiv_states               false
% 0.20/0.51  % --bmc1_deadlock                       false
% 0.20/0.51  % --bmc1_ucm                            false
% 0.20/0.51  % --bmc1_add_unsat_core                 none
% 0.20/0.51  % --bmc1_unsat_core_children            false
% 0.20/0.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.51  % --bmc1_out_stat                       full
% 0.20/0.51  % --bmc1_ground_init                    false
% 0.20/0.51  % --bmc1_pre_inst_next_state            false
% 0.20/0.51  % --bmc1_pre_inst_state                 false
% 0.20/0.51  % --bmc1_pre_inst_reach_state           false
% 0.20/0.51  % --bmc1_out_unsat_core                 false
% 0.20/0.51  % --bmc1_aig_witness_out                false
% 0.20/0.51  % --bmc1_verbose                        false
% 0.20/0.51  % --bmc1_dump_clauses_tptp              false
% 4.74/5.21  % --bmc1_dump_unsat_core_tptp           false
% 4.74/5.21  % --bmc1_dump_file                      -
% 4.74/5.21  % --bmc1_ucm_expand_uc_limit            128
% 4.74/5.21  % --bmc1_ucm_n_expand_iterations        6
% 4.74/5.21  % --bmc1_ucm_extend_mode                1
% 4.74/5.21  % --bmc1_ucm_init_mode                  2
% 4.74/5.21  % --bmc1_ucm_cone_mode                  none
% 4.74/5.21  % --bmc1_ucm_reduced_relation_type      0
% 4.74/5.21  % --bmc1_ucm_relax_model                4
% 4.74/5.21  % --bmc1_ucm_full_tr_after_sat          true
% 4.74/5.21  % --bmc1_ucm_expand_neg_assumptions     false
% 4.74/5.21  % --bmc1_ucm_layered_model              none
% 4.74/5.21  % --bmc1_ucm_max_lemma_size             10
% 4.74/5.21  
% 4.74/5.21  % ------ AIG Options
% 4.74/5.21  
% 4.74/5.21  % --aig_mode                            false
% 4.74/5.21  
% 4.74/5.21  % ------ Instantiation Options
% 4.74/5.21  
% 4.74/5.21  % --instantiation_flag                  true
% 4.74/5.21  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 4.74/5.21  % --inst_solver_per_active              750
% 4.74/5.21  % --inst_solver_calls_frac              0.5
% 4.74/5.21  % --inst_passive_queue_type             priority_queues
% 4.74/5.21  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.74/5.21  % --inst_passive_queues_freq            [25;2]
% 4.74/5.21  % --inst_dismatching                    true
% 4.74/5.21  % --inst_eager_unprocessed_to_passive   true
% 4.74/5.21  % --inst_prop_sim_given                 true
% 4.74/5.21  % --inst_prop_sim_new                   false
% 4.74/5.21  % --inst_orphan_elimination             true
% 4.74/5.21  % --inst_learning_loop_flag             true
% 4.74/5.21  % --inst_learning_start                 3000
% 4.74/5.21  % --inst_learning_factor                2
% 4.74/5.21  % --inst_start_prop_sim_after_learn     3
% 4.74/5.21  % --inst_sel_renew                      solver
% 4.74/5.21  % --inst_lit_activity_flag              true
% 4.74/5.21  % --inst_out_proof                      true
% 4.74/5.21  
% 4.74/5.21  % ------ Resolution Options
% 4.74/5.21  
% 4.74/5.21  % --resolution_flag                     true
% 4.74/5.21  % --res_lit_sel                         kbo_max
% 4.74/5.21  % --res_to_prop_solver                  none
% 4.74/5.21  % --res_prop_simpl_new                  false
% 4.74/5.21  % --res_prop_simpl_given                false
% 4.74/5.21  % --res_passive_queue_type              priority_queues
% 4.74/5.21  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.74/5.21  % --res_passive_queues_freq             [15;5]
% 4.74/5.21  % --res_forward_subs                    full
% 4.74/5.21  % --res_backward_subs                   full
% 4.74/5.21  % --res_forward_subs_resolution         true
% 4.74/5.21  % --res_backward_subs_resolution        true
% 4.74/5.21  % --res_orphan_elimination              false
% 4.74/5.21  % --res_time_limit                      1000.
% 4.74/5.21  % --res_out_proof                       true
% 4.74/5.21  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_6a08fc.s
% 4.74/5.21  % --modulo                              true
% 4.74/5.21  
% 4.74/5.21  % ------ Combination Options
% 4.74/5.21  
% 4.74/5.21  % --comb_res_mult                       1000
% 4.74/5.21  % --comb_inst_mult                      300
% 4.74/5.21  % ------ 
% 4.74/5.21  
% 4.74/5.21  % ------ Parsing...% successful
% 4.74/5.21  
% 4.74/5.21  % ------ 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 % 
% 4.74/5.21  
% 4.74/5.21  % ------ Proving...
% 4.74/5.21  % ------ Problem Properties 
% 4.74/5.21  
% 4.74/5.21  % 
% 4.74/5.21  % EPR                                   false
% 4.74/5.21  % Horn                                  false
% 4.74/5.21  % Has equality                          true
% 4.74/5.21  
% 4.74/5.21  % % ------ Input Options Time Limit: Unbounded
% 4.74/5.21  
% 4.74/5.21  
% 4.74/5.21  Compiling...
% 4.74/5.21  Loading plugin: done.
% 4.74/5.21  Compiling...
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% 4.74/5.21  Compiling...
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% 4.74/5.21  Compiling...
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% 4.74/5.21  Compiling...
% 4.74/5.21  Loading plugin: done.
% 4.74/5.21  Compiling...
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% 4.74/5.21  Compiling...
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% 4.74/5.21  Compiling...
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% 4.74/5.21  Compiling...
% 4.74/5.21  Loading plugin: done.
% 4.74/5.21  Compiling...
% 4.74/5.21  Loading plugin: done.
% 4.74/5.21  % % ------ Current options:
% 4.74/5.21  
% 4.74/5.21  % ------ Input Options
% 4.74/5.21  
% 4.74/5.21  % --out_options                         all
% 4.74/5.21  % --tptp_safe_out                       true
% 4.74/5.21  % --problem_path                        ""
% 4.74/5.21  % --include_path                        ""
% 4.74/5.21  % --clausifier                          .//eprover
% 4.74/5.21  % --clausifier_options                  --tstp-format  
% 4.74/5.21  % --stdin                               false
% 4.74/5.21  % --dbg_backtrace                       false
% 4.74/5.21  % --dbg_dump_prop_clauses               false
% 4.74/5.21  % --dbg_dump_prop_clauses_file          -
% 4.74/5.21  % --dbg_out_stat                        false
% 4.74/5.21  
% 4.74/5.21  % ------ General Options
% 4.74/5.21  
% 4.74/5.21  % --fof                                 false
% 4.74/5.21  % --time_out_real                       150.
% 4.74/5.21  % --time_out_prep_mult                  0.2
% 4.74/5.21  % --time_out_virtual                    -1.
% 4.74/5.21  % --schedule                            none
% 4.74/5.21  % --ground_splitting                    input
% 4.74/5.21  % --splitting_nvd                       16
% 4.74/5.21  % --non_eq_to_eq                        false
% 4.74/5.21  % --prep_gs_sim                         true
% 4.74/5.21  % --prep_unflatten                      false
% 4.74/5.21  % --prep_res_sim                        true
% 4.74/5.21  % --prep_upred                          true
% 4.74/5.21  % --res_sim_input                       true
% 4.74/5.21  % --clause_weak_htbl                    true
% 4.74/5.21  % --gc_record_bc_elim                   false
% 4.74/5.21  % --symbol_type_check                   false
% 4.74/5.21  % --clausify_out                        false
% 4.74/5.21  % --large_theory_mode                   false
% 4.74/5.21  % --prep_sem_filter                     none
% 4.74/5.21  % --prep_sem_filter_out                 false
% 4.74/5.21  % --preprocessed_out                    false
% 4.74/5.21  % --sub_typing                          false
% 4.74/5.21  % --brand_transform                     false
% 4.74/5.21  % --pure_diseq_elim                     true
% 4.74/5.21  % --min_unsat_core                      false
% 4.74/5.21  % --pred_elim                           true
% 4.74/5.21  % --add_important_lit                   false
% 4.74/5.21  % --soft_assumptions                    false
% 4.74/5.21  % --reset_solvers                       false
% 4.74/5.21  % --bc_imp_inh                          []
% 4.74/5.21  % --conj_cone_tolerance                 1.5
% 4.74/5.21  % --prolific_symb_bound                 500
% 4.74/5.21  % --lt_threshold                        2000
% 4.74/5.21  
% 4.74/5.21  % ------ SAT Options
% 4.74/5.21  
% 4.74/5.21  % --sat_mode                            false
% 4.74/5.21  % --sat_fm_restart_options              ""
% 4.74/5.21  % --sat_gr_def                          false
% 4.74/5.21  % --sat_epr_types                       true
% 4.74/5.21  % --sat_non_cyclic_types                false
% 4.74/5.21  % --sat_finite_models                   false
% 4.74/5.21  % --sat_fm_lemmas                       false
% 4.74/5.21  % --sat_fm_prep                         false
% 4.74/5.21  % --sat_fm_uc_incr                      true
% 4.74/5.21  % --sat_out_model                       small
% 4.74/5.21  % --sat_out_clauses                     false
% 4.74/5.21  
% 4.74/5.21  % ------ QBF Options
% 4.74/5.21  
% 4.74/5.21  % --qbf_mode                            false
% 4.74/5.21  % --qbf_elim_univ                       true
% 4.74/5.21  % --qbf_sk_in                           true
% 4.74/5.21  % --qbf_pred_elim                       true
% 4.74/5.21  % --qbf_split                           32
% 4.74/5.21  
% 4.74/5.21  % ------ BMC1 Options
% 4.74/5.21  
% 4.74/5.21  % --bmc1_incremental                    false
% 4.74/5.21  % --bmc1_axioms                         reachable_all
% 4.74/5.21  % --bmc1_min_bound                      0
% 4.74/5.21  % --bmc1_max_bound                      -1
% 4.74/5.21  % --bmc1_max_bound_default              -1
% 4.74/5.21  % --bmc1_symbol_reachability            true
% 4.74/5.21  % --bmc1_property_lemmas                false
% 4.74/5.21  % --bmc1_k_induction                    false
% 4.74/5.21  % --bmc1_non_equiv_states               false
% 4.74/5.21  % --bmc1_deadlock                       false
% 4.74/5.21  % --bmc1_ucm                            false
% 4.74/5.21  % --bmc1_add_unsat_core                 none
% 4.74/5.21  % --bmc1_unsat_core_children            false
% 4.74/5.21  % --bmc1_unsat_core_extrapolate_axioms  false
% 4.74/5.21  % --bmc1_out_stat                       full
% 4.74/5.21  % --bmc1_ground_init                    false
% 4.74/5.21  % --bmc1_pre_inst_next_state            false
% 4.74/5.21  % --bmc1_pre_inst_state                 false
% 4.74/5.21  % --bmc1_pre_inst_reach_state           false
% 4.74/5.21  % --bmc1_out_unsat_core                 false
% 4.74/5.21  % --bmc1_aig_witness_out                false
% 4.74/5.21  % --bmc1_verbose                        false
% 4.74/5.21  % --bmc1_dump_clauses_tptp              false
% 4.74/5.21  % --bmc1_dump_unsat_core_tptp           false
% 4.74/5.21  % --bmc1_dump_file                      -
% 4.74/5.21  % --bmc1_ucm_expand_uc_limit            128
% 4.74/5.21  % --bmc1_ucm_n_expand_iterations        6
% 11.84/12.08  % --bmc1_ucm_extend_mode                1
% 11.84/12.08  % --bmc1_ucm_init_mode                  2
% 11.84/12.08  % --bmc1_ucm_cone_mode                  none
% 11.84/12.08  % --bmc1_ucm_reduced_relation_type      0
% 11.84/12.08  % --bmc1_ucm_relax_model                4
% 11.84/12.08  % --bmc1_ucm_full_tr_after_sat          true
% 11.84/12.08  % --bmc1_ucm_expand_neg_assumptions     false
% 11.84/12.08  % --bmc1_ucm_layered_model              none
% 11.84/12.08  % --bmc1_ucm_max_lemma_size             10
% 11.84/12.08  
% 11.84/12.08  % ------ AIG Options
% 11.84/12.08  
% 11.84/12.08  % --aig_mode                            false
% 11.84/12.08  
% 11.84/12.08  % ------ Instantiation Options
% 11.84/12.08  
% 11.84/12.08  % --instantiation_flag                  true
% 11.84/12.08  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 11.84/12.08  % --inst_solver_per_active              750
% 11.84/12.08  % --inst_solver_calls_frac              0.5
% 11.84/12.08  % --inst_passive_queue_type             priority_queues
% 11.84/12.08  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 11.84/12.08  % --inst_passive_queues_freq            [25;2]
% 11.84/12.08  % --inst_dismatching                    true
% 11.84/12.08  % --inst_eager_unprocessed_to_passive   true
% 11.84/12.08  % --inst_prop_sim_given                 true
% 11.84/12.08  % --inst_prop_sim_new                   false
% 11.84/12.08  % --inst_orphan_elimination             true
% 11.84/12.08  % --inst_learning_loop_flag             true
% 11.84/12.08  % --inst_learning_start                 3000
% 11.84/12.08  % --inst_learning_factor                2
% 11.84/12.08  % --inst_start_prop_sim_after_learn     3
% 11.84/12.08  % --inst_sel_renew                      solver
% 11.84/12.08  % --inst_lit_activity_flag              true
% 11.84/12.08  % --inst_out_proof                      true
% 11.84/12.08  
% 11.84/12.08  % ------ Resolution Options
% 11.84/12.08  
% 11.84/12.08  % --resolution_flag                     true
% 11.84/12.08  % --res_lit_sel                         kbo_max
% 11.84/12.08  % --res_to_prop_solver                  none
% 11.84/12.08  % --res_prop_simpl_new                  false
% 11.84/12.08  % --res_prop_simpl_given                false
% 11.84/12.08  % --res_passive_queue_type              priority_queues
% 11.84/12.08  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 11.84/12.08  % --res_passive_queues_freq             [15;5]
% 11.84/12.08  % --res_forward_subs                    full
% 11.84/12.08  % --res_backward_subs                   full
% 11.84/12.08  % --res_forward_subs_resolution         true
% 11.84/12.08  % --res_backward_subs_resolution        true
% 11.84/12.08  % --res_orphan_elimination              false
% 11.84/12.08  % --res_time_limit                      1000.
% 11.84/12.08  % --res_out_proof                       true
% 11.84/12.08  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_6a08fc.s
% 11.84/12.08  % --modulo                              true
% 11.84/12.08  
% 11.84/12.08  % ------ Combination Options
% 11.84/12.08  
% 11.84/12.08  % --comb_res_mult                       1000
% 11.84/12.08  % --comb_inst_mult                      300
% 11.84/12.08  % ------ 
% 11.84/12.08  
% 11.84/12.08  
% 11.84/12.08  
% 11.84/12.08  % ------ Proving...
% 11.84/12.08  % 
% 11.84/12.08  
% 11.84/12.08  
% 11.84/12.08  % ------                             Statistics
% 11.84/12.08  
% 11.84/12.08  % ------ General
% 11.84/12.08  
% 11.84/12.08  % num_of_input_clauses:                 867
% 11.84/12.08  % num_of_input_neg_conjectures:         2
% 11.84/12.08  % num_of_splits:                        0
% 11.84/12.08  % num_of_split_atoms:                   0
% 11.84/12.08  % num_of_sem_filtered_clauses:          0
% 11.84/12.08  % num_of_subtypes:                      0
% 11.84/12.08  % monotx_restored_types:                0
% 11.84/12.08  % sat_num_of_epr_types:                 0
% 11.84/12.08  % sat_num_of_non_cyclic_types:          0
% 11.84/12.08  % sat_guarded_non_collapsed_types:      0
% 11.84/12.08  % is_epr:                               0
% 11.84/12.08  % is_horn:                              0
% 11.84/12.08  % has_eq:                               1
% 11.84/12.08  % num_pure_diseq_elim:                  0
% 11.84/12.08  % simp_replaced_by:                     0
% 11.84/12.08  % res_preprocessed:                     4
% 11.84/12.08  % prep_upred:                           0
% 11.84/12.08  % prep_unflattend:                      0
% 11.84/12.08  % pred_elim_cands:                      0
% 11.84/12.08  % pred_elim:                            0
% 11.84/12.08  % pred_elim_cl:                         0
% 11.84/12.08  % pred_elim_cycles:                     0
% 11.84/12.08  % forced_gc_time:                       0
% 11.84/12.08  % gc_basic_clause_elim:                 0
% 11.84/12.08  % parsing_time:                         0.047
% 11.84/12.08  % sem_filter_time:                      0.
% 11.84/12.08  % pred_elim_time:                       0.
% 11.84/12.08  % out_proof_time:                       0.001
% 11.84/12.08  % monotx_time:                          0.
% 11.84/12.08  % subtype_inf_time:                     0.
% 11.84/12.08  % unif_index_cands_time:                0.023
% 11.84/12.08  % unif_index_add_time:                  0.017
% 11.84/12.08  % total_time:                           11.586
% 11.84/12.08  % num_of_symbols:                       123
% 11.84/12.08  % num_of_terms:                         279378
% 11.84/12.08  
% 11.84/12.08  % ------ Propositional Solver
% 11.84/12.08  
% 11.84/12.08  % prop_solver_calls:                    7
% 11.84/12.08  % prop_fast_solver_calls:               6
% 11.84/12.08  % prop_num_of_clauses:                  6966
% 11.84/12.08  % prop_preprocess_simplified:           10604
% 11.84/12.08  % prop_fo_subsumed:                     0
% 11.84/12.08  % prop_solver_time:                     0.002
% 11.84/12.08  % prop_fast_solver_time:                0.
% 11.84/12.08  % prop_unsat_core_time:                 0.001
% 11.84/12.08  
% 11.84/12.08  % ------ QBF 
% 11.84/12.08  
% 11.84/12.08  % qbf_q_res:                            0
% 11.84/12.08  % qbf_num_tautologies:                  0
% 11.84/12.08  % qbf_prep_cycles:                      0
% 11.84/12.08  
% 11.84/12.08  % ------ BMC1
% 11.84/12.08  
% 11.84/12.08  % bmc1_current_bound:                   -1
% 11.84/12.08  % bmc1_last_solved_bound:               -1
% 11.84/12.08  % bmc1_unsat_core_size:                 -1
% 11.84/12.08  % bmc1_unsat_core_parents_size:         -1
% 11.84/12.08  % bmc1_merge_next_fun:                  0
% 11.84/12.08  % bmc1_unsat_core_clauses_time:         0.
% 11.84/12.08  
% 11.84/12.08  % ------ Instantiation
% 11.84/12.08  
% 11.84/12.08  % inst_num_of_clauses:                  4355
% 11.84/12.08  % inst_num_in_passive:                  2853
% 11.84/12.08  % inst_num_in_active:                   1294
% 11.84/12.08  % inst_num_in_unprocessed:              197
% 11.84/12.08  % inst_num_of_loops:                    1465
% 11.84/12.08  % inst_num_of_learning_restarts:        0
% 11.84/12.08  % inst_num_moves_active_passive:        160
% 11.84/12.08  % inst_lit_activity:                    502
% 11.84/12.08  % inst_lit_activity_moves:              1
% 11.84/12.08  % inst_num_tautologies:                 9
% 11.84/12.08  % inst_num_prop_implied:                0
% 11.84/12.08  % inst_num_existing_simplified:         0
% 11.84/12.08  % inst_num_eq_res_simplified:           0
% 11.84/12.08  % inst_num_child_elim:                  0
% 11.84/12.08  % inst_num_of_dismatching_blockings:    1528
% 11.84/12.08  % inst_num_of_non_proper_insts:         4638
% 11.84/12.08  % inst_num_of_duplicates:               4737
% 11.84/12.08  % inst_inst_num_from_inst_to_res:       0
% 11.84/12.08  % inst_dismatching_checking_time:       0.016
% 11.84/12.08  
% 11.84/12.08  % ------ Resolution
% 11.84/12.08  
% 11.84/12.08  % res_num_of_clauses:                   76914
% 11.84/12.08  % res_num_in_passive:                   72982
% 11.84/12.08  % res_num_in_active:                    3535
% 11.84/12.08  % res_num_of_loops:                     5000
% 11.84/12.08  % res_forward_subset_subsumed:          3460
% 11.84/12.08  % res_backward_subset_subsumed:         111
% 11.84/12.08  % res_forward_subsumed:                 1858
% 11.84/12.08  % res_backward_subsumed:                1
% 11.84/12.08  % res_forward_subsumption_resolution:   13
% 11.84/12.08  % res_backward_subsumption_resolution:  0
% 11.84/12.08  % res_clause_to_clause_subsumption:     29928
% 11.84/12.08  % res_orphan_elimination:               0
% 11.84/12.08  % res_tautology_del:                    175
% 11.84/12.08  % res_num_eq_res_simplified:            0
% 11.84/12.08  % res_num_sel_changes:                  0
% 11.84/12.08  % res_moves_from_active_to_pass:        0
% 11.84/12.08  
% 11.84/12.08  % Status Unsatisfiable
% 11.84/12.08  % SZS status Unsatisfiable
% 11.84/12.08  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------