ConnectPP---0.7.2.UNS-Prf.s

%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWV731-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 09:04:14 AM UTC 2026

% Result   : Unsatisfiable 36.04s 46.37s
% Output   : Proof 36.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Fake__parts__sing_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_Fake__parts__sing_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)),
    file('theBenchmark.p',cls_used__Notes_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)),
    file('theBenchmark.p',cls_used__Says_0) ).

cnf(cls_Fake__parts__sing__imp__Un_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)))) ),
    file('theBenchmark.p',cls_Fake__parts__sing__imp__Un_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)),
    file('theBenchmark.p',cls_parts__empty_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)),
    file('theBenchmark.p',cls_parts__insert2_0) ).

cnf(cls_keysFor__empty_0,axiom,
    c_Message_OkeysFor(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),
    file('theBenchmark.p',cls_keysFor__empty_0) ).

cnf(cls_analz__empty_0,axiom,
    c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
    file('theBenchmark.p',cls_analz__empty_0) ).

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)),
    file('theBenchmark.p',cls_parts__insert_0) ).

cnf(cls_parts__emptyE_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))))),
    file('theBenchmark.p',cls_parts__emptyE_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)),
    file('theBenchmark.p',cls_parts__insert__knows__A_0) ).

cnf(cls_used__parts__subset__parts_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oused(V_evs)))
    | c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_used__parts__subset__parts_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)),
    file('theBenchmark.p',cls_parts__insert__spies_0) ).

cnf(cls_keymode_Osimps_I2_J_0,axiom,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
    file('theBenchmark.p',cls_keymode_Osimps_I2_J_0) ).

cnf(cls_keymode_Oinduct_0,axiom,
    ( ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature))
    | ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption))
    | hBOOL(hAPP(V_P,V_keymode)) ),
    file('theBenchmark.p',cls_keymode_Oinduct_0) ).

cnf(cls_keymode_Osimps_I1_J_0,axiom,
    c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
    file('theBenchmark.p',cls_keymode_Osimps_I1_J_0) ).

cnf(cls_initState__Server_0,axiom,
    c_Event_OinitState(c_Message_Oagent_OServer) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
    file('theBenchmark.p',cls_initState__Server_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)),
    file('theBenchmark.p',cls_analz__image__freshK__simps_I65_J_0) ).

cnf(cls_sup__left__commute_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_sup__left__commute_0) ).

cnf(cls_sup__assoc_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_sup__assoc_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)),
    file('theBenchmark.p',cls_Un__assoc_0) ).

cnf(cls_Un__left__commute_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_Un__left__commute_0) ).

cnf(cls_inj__on__empty_0,axiom,
    c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b),
    file('theBenchmark.p',cls_inj__on__empty_0) ).

cnf(cls_analz__analz__Un_0,axiom,
    c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),
    file('theBenchmark.p',cls_analz__analz__Un_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),
    file('theBenchmark.p',cls_doubleton__eq__iff_4) ).

cnf(cls_synth__subset__iff_0,axiom,
    ( ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_synth__subset__iff_0) ).

cnf(cls_synth__subset__iff_1,axiom,
    ( ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_synth__subset__iff_1) ).

cnf(cls_COMBC__def_0,axiom,
    hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q),
    file('theBenchmark.p',cls_COMBC__def_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)),
    file('theBenchmark.p',cls_parts__Un__subset1_0) ).

cnf(cls_msg_Osimps_I3_J_0,axiom,
    ( V_nat = V_nat_H
    | c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H) ),
    file('theBenchmark.p',cls_msg_Osimps_I3_J_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)),
    file('theBenchmark.p',cls_analz__Un_0) ).

cnf(cls_sup__idem_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_sup__idem_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,
    file('theBenchmark.p',cls_Un__absorb_0) ).

cnf(cls_inv__into__image__cancel_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
    | ~ c_lessequals(V_S,V_A,tc_fun(T_a,tc_bool))
    | c_Set_Oimage(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_S,T_a,T_b),T_b,T_a) = V_S ),
    file('theBenchmark.p',cls_inv__into__image__cancel_0) ).

cnf(cls_sup__fun__eq_0,axiom,
    ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b)
    | ~ class_Lattices_Olattice(T_b) ),
    file('theBenchmark.p',cls_sup__fun__eq_0) ).

cnf(cls_finite__surj_0,axiom,
    ( ~ c_Finite__Set_Ofinite(V_A,T_a)
    | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
    | c_Finite__Set_Ofinite(V_B,T_b) ),
    file('theBenchmark.p',cls_finite__surj_0) ).

cnf(cls_insert__subset_1,axiom,
    ( ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
    | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_insert__subset_1) ).

cnf(cls_subset__insertI2_0,axiom,
    ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_subset__insertI2_0) ).

cnf(cls_bot__fun__eq_0,axiom,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b)
    | ~ class_Orderings_Obot(T_b) ),
    file('theBenchmark.p',cls_bot__fun__eq_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),
    file('theBenchmark.p',cls_event_Osimps_I4_J_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),
    file('theBenchmark.p',cls_Un__insert__left_0) ).

cnf(cls_Un__insert__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a),
    file('theBenchmark.p',cls_Un__insert__right_0) ).

cnf(cls_synth__mono_0,axiom,
    ( ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_synth__mono_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)),
    file('theBenchmark.p',cls_empty__subsetI_0) ).

cnf(cls_bot__least_0,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)
    | ~ class_Orderings_Obot(T_a) ),
    file('theBenchmark.p',cls_bot__least_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)),
    file('theBenchmark.p',cls_insert__not__empty_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)),
    file('theBenchmark.p',cls_parts__Un__subset2_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)),
    file('theBenchmark.p',cls_subset__insertI_0) ).

cnf(cls_finite__insert_0,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
    | c_Finite__Set_Ofinite(V_A,T_a) ),
    file('theBenchmark.p',cls_finite__insert_0) ).

cnf(cls_finite__insert_1,axiom,
    ( ~ c_Finite__Set_Ofinite(V_A,T_a)
    | c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ),
    file('theBenchmark.p',cls_finite__insert_1) ).

cnf(cls_finite_OemptyI_0,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
    file('theBenchmark.p',cls_finite_OemptyI_0) ).

cnf(cls_Sup__empty_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a)
    | ~ class_Complete__Lattice_Ocomplete__lattice(T_a) ),
    file('theBenchmark.p',cls_Sup__empty_0) ).

cnf(cls_finite__Un_2,axiom,
    ( ~ c_Finite__Set_Ofinite(V_F,T_a)
    | ~ c_Finite__Set_Ofinite(V_G,T_a)
    | c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ),
    file('theBenchmark.p',cls_finite__Un_2) ).

cnf(cls_finite__UnI_0,axiom,
    ( ~ c_Finite__Set_Ofinite(V_F,T_a)
    | ~ c_Finite__Set_Ofinite(V_G,T_a)
    | c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ),
    file('theBenchmark.p',cls_finite__UnI_0) ).

cnf(cls_sup1E_0,axiom,
    ( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
    | hBOOL(hAPP(V_A,V_x))
    | hBOOL(hAPP(V_B,V_x)) ),
    file('theBenchmark.p',cls_sup1E_0) ).

cnf(cls_sup1CI_0,axiom,
    ( ~ hBOOL(hAPP(V_B,V_x))
    | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ),
    file('theBenchmark.p',cls_sup1CI_0) ).

cnf(cls_sup1CI_1,axiom,
    ( ~ hBOOL(hAPP(V_A,V_x))
    | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ),
    file('theBenchmark.p',cls_sup1CI_1) ).

cnf(cls_insert__Key__singleton_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(V_K,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool)),
    file('theBenchmark.p',cls_insert__Key__singleton_0) ).

cnf(cls_endo__inj__surj_0,axiom,
    ( ~ c_Finite__Set_Ofinite(V_A,T_a)
    | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))
    | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
    | c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A ),
    file('theBenchmark.p',cls_endo__inj__surj_0) ).

cnf(cls_finite__Un_0,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
    | c_Finite__Set_Ofinite(V_F,T_a) ),
    file('theBenchmark.p',cls_finite__Un_0) ).

cnf(cls_finite__Un_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
    | c_Finite__Set_Ofinite(V_G,T_a) ),
    file('theBenchmark.p',cls_finite__Un_1) ).

cnf(cls_sup__bot__right_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x
    | ~ class_Lattices_Obounded__lattice(T_a) ),
    file('theBenchmark.p',cls_sup__bot__right_0) ).

cnf(cls_sup__bot__left_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x
    | ~ class_Lattices_Obounded__lattice(T_a) ),
    file('theBenchmark.p',cls_sup__bot__left_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,
    file('theBenchmark.p',cls_Un__empty__left_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,
    file('theBenchmark.p',cls_Un__empty__right_0) ).

cnf(cls_sup__Un__eq_0,axiom,
    hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool))),
    file('theBenchmark.p',cls_sup__Un__eq_0) ).

cnf(cls_inj__on__inv__into_0,axiom,
    ( ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
    | c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_B,T_a,T_b) ),
    file('theBenchmark.p',cls_inj__on__inv__into_0) ).

cnf(cls_analz__increasing_0,axiom,
    c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
    file('theBenchmark.p',cls_analz__increasing_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)),
    file('theBenchmark.p',cls_synth__Un_0) ).

cnf(cls_synthp_OHash_0,axiom,
    ( ~ hBOOL(c_Message_Osynthp(V_H,V_X))
    | hBOOL(c_Message_Osynthp(V_H,c_Message_Omsg_OHash(V_X))) ),
    file('theBenchmark.p',cls_synthp_OHash_0) ).

cnf(cls_bot1E_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
    file('theBenchmark.p',cls_bot1E_0) ).

cnf(cls_analz__subset__iff_0,axiom,
    ( ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_analz__subset__iff_0) ).

cnf(cls_analz__subset__iff_1,axiom,
    ( ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_analz__subset__iff_1) ).

cnf(cls_bij__def_1,axiom,
    ( ~ c_Fun_Obij(V_f,T_a,T_b)
    | c_Fun_Osurj(V_f,T_a,T_b) ),
    file('theBenchmark.p',cls_bij__def_1) ).

cnf(cls_event_Osimps_I2_J_1,axiom,
    ( V_msg = V_msg_H
    | c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ),
    file('theBenchmark.p',cls_event_Osimps_I2_J_1) ).

cnf(cls_event_Osimps_I2_J_0,axiom,
    ( V_agent = V_agent_H
    | c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ),
    file('theBenchmark.p',cls_event_Osimps_I2_J_0) ).

cnf(cls_pred__subset__eq_0,axiom,
    ( ~ c_lessequals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool))
    | c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_pred__subset__eq_0) ).

cnf(cls_pred__subset__eq_1,axiom,
    ( ~ c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool))
    | c_lessequals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_pred__subset__eq_1) ).

cnf(cls_equalityI_0,axiom,
    ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
    | V_A = V_B ),
    file('theBenchmark.p',cls_equalityI_0) ).

cnf(cls_set__eq__subset_2,axiom,
    ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
    | V_A = V_B ),
    file('theBenchmark.p',cls_set__eq__subset_2) ).

cnf(cls_order__eq__iff_2,axiom,
    ( ~ c_lessequals(V_x,V_y,T_a)
    | ~ c_lessequals(V_y,V_x,T_a)
    | V_x = V_y
    | ~ class_Orderings_Oorder(T_a) ),
    file('theBenchmark.p',cls_order__eq__iff_2) ).

cnf(cls_order__antisym_0,axiom,
    ( ~ c_lessequals(V_x,V_y,T_a)
    | ~ c_lessequals(V_y,V_x,T_a)
    | V_x = V_y
    | ~ class_Orderings_Oorder(T_a) ),
    file('theBenchmark.p',cls_order__antisym_0) ).

cnf(cls_order__antisym__conv_0,axiom,
    ( ~ c_lessequals(V_y,V_x,T_a)
    | ~ c_lessequals(V_x,V_y,T_a)
    | V_x = V_y
    | ~ class_Orderings_Oorder(T_a) ),
    file('theBenchmark.p',cls_order__antisym__conv_0) ).

cnf(cls_event_Osimps_I8_J_0,axiom,
    c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
    file('theBenchmark.p',cls_event_Osimps_I8_J_0) ).

cnf(cls_sup__absorb1_0,axiom,
    ( ~ c_lessequals(V_y,V_x,T_a)
    | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_sup__absorb1_0) ).

cnf(cls_le__iff__sup_1,axiom,
    ( c_lessequals(V_x,V_y,T_a)
    | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_le__iff__sup_1) ).

cnf(cls_le__iff__sup_0,axiom,
    ( ~ c_lessequals(V_x,V_y,T_a)
    | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_le__iff__sup_0) ).

cnf(cls_Un__absorb1_0,axiom,
    ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B ),
    file('theBenchmark.p',cls_Un__absorb1_0) ).

cnf(cls_Un__absorb2_0,axiom,
    ( ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ),
    file('theBenchmark.p',cls_Un__absorb2_0) ).

cnf(cls_subset__Un__eq_1,axiom,
    ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B ),
    file('theBenchmark.p',cls_subset__Un__eq_1) ).

cnf(cls_doubleton__eq__iff_0,axiom,
    ( V_a = V_c
    | V_a = V_d
    | c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ),
    file('theBenchmark.p',cls_doubleton__eq__iff_0) ).

cnf(cls_doubleton__eq__iff_1,axiom,
    ( V_a = V_c
    | V_b = V_c
    | c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ),
    file('theBenchmark.p',cls_doubleton__eq__iff_1) ).

cnf(cls_doubleton__eq__iff_2,axiom,
    ( V_b = V_d
    | V_a = V_d
    | c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ),
    file('theBenchmark.p',cls_doubleton__eq__iff_2) ).

cnf(cls_doubleton__eq__iff_3,axiom,
    ( V_b = V_d
    | V_b = V_c
    | c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ),
    file('theBenchmark.p',cls_doubleton__eq__iff_3) ).

cnf(cls_subset__empty_0,axiom,
    ( ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
    | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_subset__empty_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)),
    file('theBenchmark.p',cls_subset__empty_1) ).

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),
    file('theBenchmark.p',cls_empty__not__insert_0) ).

cnf(cls_msg_Osimps_I5_J_0,axiom,
    ( V_msg = V_msg_H
    | c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H) ),
    file('theBenchmark.p',cls_msg_Osimps_I5_J_0) ).

cnf(cls_Un__mono_0,axiom,
    ( ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
    | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_Un__mono_0) ).

cnf(cls_inv__inv__eq_0,axiom,
    ( ~ c_Fun_Obij(V_f,T_a,T_b)
    | c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a) = V_f ),
    file('theBenchmark.p',cls_inv__inv__eq_0) ).

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

cnf(cls_inf__sup__aci_I7_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a)
    | ~ class_Lattices_Olattice(T_a) ),
    file('theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).

cnf(cls_inf__sup__aci_I6_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)
    | ~ class_Lattices_Olattice(T_a) ),
    file('theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).

cnf(cls_analz__cong_0,axiom,
    ( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool)))
    | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
    | c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H) ),
    file('theBenchmark.p',cls_analz__cong_0) ).

cnf(cls_Un__subset__iff_2,axiom,
    ( ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
    | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_Un__subset__iff_2) ).

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)),
    file('theBenchmark.p',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)),
    file('theBenchmark.p',cls_Un__upper1_0) ).

cnf(cls_Un__least_0,axiom,
    ( ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
    | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_Un__least_0) ).

cnf(cls_le__supI_0,axiom,
    ( ~ c_lessequals(V_a,V_x,T_a)
    | ~ c_lessequals(V_b,V_x,T_a)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_le__supI_0) ).

cnf(cls_sup__ge1_0,axiom,
    ( c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_sup__ge1_0) ).

cnf(cls_sup__ge2_0,axiom,
    ( c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_sup__ge2_0) ).

cnf(cls_sup__least_0,axiom,
    ( ~ c_lessequals(V_y,V_x,T_a)
    | ~ c_lessequals(V_z,V_x,T_a)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_sup__least_0) ).

cnf(cls_le__sup__iff_2,axiom,
    ( ~ c_lessequals(V_x,V_z,T_a)
    | ~ c_lessequals(V_y,V_z,T_a)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_le__sup__iff_2) ).

cnf(cls_inf__sup__ord_I4_J_0,axiom,
    ( c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
    | ~ class_Lattices_Olattice(T_a) ),
    file('theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).

cnf(cls_inf__sup__ord_I3_J_0,axiom,
    ( c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
    | ~ class_Lattices_Olattice(T_a) ),
    file('theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).

cnf(cls_singleton__inject_0,axiom,
    ( V_a = V_b
    | c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
    file('theBenchmark.p',cls_singleton__inject_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)),
    file('theBenchmark.p',cls_knows__subset__knows__Gets_0) ).

cnf(cls_msg_Osimps_I33_J_0,axiom,
    c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat),
    file('theBenchmark.p',cls_msg_Osimps_I33_J_0) ).

cnf(cls_Un__empty_1,axiom,
    ( V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_Un__empty_1) ).

cnf(cls_Un__empty_0,axiom,
    ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_Un__empty_0) ).

cnf(cls_sup__eq__bot__eq1_0,axiom,
    ( V_A = c_Orderings_Obot__class_Obot(T_a)
    | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
    | ~ class_Lattices_Obounded__lattice(T_a) ),
    file('theBenchmark.p',cls_sup__eq__bot__eq1_0) ).

cnf(cls_sup__eq__bot__eq2_0,axiom,
    ( V_B = c_Orderings_Obot__class_Obot(T_a)
    | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
    | ~ class_Lattices_Obounded__lattice(T_a) ),
    file('theBenchmark.p',cls_sup__eq__bot__eq2_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)),
    file('theBenchmark.p',cls_Un__commute_0) ).

cnf(cls_sup__commute_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_sup__commute_0) ).

cnf(cls_inf__sup__aci_I5_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)
    | ~ class_Lattices_Olattice(T_a) ),
    file('theBenchmark.p',cls_inf__sup__aci_I5_J_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)),
    file('theBenchmark.p',cls_insert__is__Un_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)),
    file('theBenchmark.p',cls_Un__left__absorb_0) ).

cnf(cls_sup__left__idem_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_sup__left__idem_0) ).

cnf(cls_inf__sup__aci_I8_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)
    | ~ class_Lattices_Olattice(T_a) ),
    file('theBenchmark.p',cls_inf__sup__aci_I8_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),
    file('theBenchmark.p',cls_event_Osimps_I5_J_0) ).

cnf(cls_finite_0,axiom,
    ( c_Finite__Set_Ofinite(V_A,T_a)
    | ~ class_Finite__Set_Ofinite_Ofinite(T_a) ),
    file('theBenchmark.p',cls_finite_0) ).

cnf(cls_Sup__binary_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)
    | ~ class_Complete__Lattice_Ocomplete__lattice(T_a) ),
    file('theBenchmark.p',cls_Sup__binary_0) ).

cnf(cls_finite__surj__inj_0,axiom,
    ( ~ c_Finite__Set_Ofinite(V_A,T_a)
    | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
    | c_Fun_Oinj__on(V_f,V_A,T_a,T_a) ),
    file('theBenchmark.p',cls_finite__surj__inj_0) ).

cnf(cls_inj__on__Un_1,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
    | c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ),
    file('theBenchmark.p',cls_inj__on__Un_1) ).

cnf(cls_inj__on__Un_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
    | c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ),
    file('theBenchmark.p',cls_inj__on__Un_0) ).

cnf(cls_le__funD_0,axiom,
    ( ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
    | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
    | ~ class_HOL_Oord(T_b) ),
    file('theBenchmark.p',cls_le__funD_0) ).

cnf(cls_subset__iff_0,axiom,
    ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B)) ),
    file('theBenchmark.p',cls_subset__iff_0) ).

cnf(cls_set__rev__mp_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ),
    file('theBenchmark.p',cls_set__rev__mp_0) ).

cnf(cls_subsetD_0,axiom,
    ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ),
    file('theBenchmark.p',cls_subsetD_0) ).

cnf(cls_set__mp_0,axiom,
    ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ),
    file('theBenchmark.p',cls_set__mp_0) ).

cnf(cls_UnCI_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ),
    file('theBenchmark.p',cls_UnCI_1) ).

cnf(cls_UnCI_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ),
    file('theBenchmark.p',cls_UnCI_0) ).

cnf(cls_ex__in__conv_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
    file('theBenchmark.p',cls_ex__in__conv_0) ).

cnf(cls_ball__empty_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
    | hBOOL(hAPP(V_P,V_x)) ),
    file('theBenchmark.p',cls_ball__empty_0) ).

cnf(cls_empty__iff_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
    file('theBenchmark.p',cls_empty__iff_0) ).

cnf(cls_emptyE_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
    file('theBenchmark.p',cls_emptyE_0) ).

cnf(cls_UnE_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ),
    file('theBenchmark.p',cls_UnE_0) ).

cnf(cls_bex__empty_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
    | ~ hBOOL(hAPP(V_P,V_x)) ),
    file('theBenchmark.p',cls_bex__empty_0) ).

cnf(cls_pred__equals__eq_0,axiom,
    ( V_R = V_S
    | c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool) != c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool) ),
    file('theBenchmark.p',cls_pred__equals__eq_0) ).

cnf(cls_msg_Osimps_I45_J_0,axiom,
    c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg),
    file('theBenchmark.p',cls_msg_Osimps_I45_J_0) ).

cnf(cls_msg_Osimps_I44_J_0,axiom,
    c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
    file('theBenchmark.p',cls_msg_Osimps_I44_J_0) ).

cnf(cls_msg_Osimps_I34_J_0,axiom,
    c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
    file('theBenchmark.p',cls_msg_Osimps_I34_J_0) ).

cnf(cls_msg_Osimps_I35_J_0,axiom,
    c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat),
    file('theBenchmark.p',cls_msg_Osimps_I35_J_0) ).

cnf(cls_image__Un_0,axiom,
    c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_image__Un_0) ).

cnf(cls_subset__image__iff_2,axiom,
    ( c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
    | ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) ),
    file('theBenchmark.p',cls_subset__image__iff_2) ).

cnf(cls_image__mono_0,axiom,
    ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) ),
    file('theBenchmark.p',cls_image__mono_0) ).

cnf(cls_image__is__empty_0,axiom,
    ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
    | c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_image__is__empty_0) ).

cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),
    file('theBenchmark.p',cls_analz__image__freshK__simps_I57_J_0) ).

cnf(cls_finite__imageI_0,axiom,
    ( ~ c_Finite__Set_Ofinite(V_F,T_a)
    | c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b) ),
    file('theBenchmark.p',cls_finite__imageI_0) ).

cnf(cls_empty__is__image_0,axiom,
    ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) ),
    file('theBenchmark.p',cls_empty__is__image_0) ).

cnf(cls_image__empty_0,axiom,
    c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_image__empty_0) ).

cnf(cls_empty__is__image_1,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a),
    file('theBenchmark.p',cls_empty__is__image_1) ).

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)),
    file('theBenchmark.p',cls_parts__Un_0) ).

cnf(cls_parts__increasing_0,axiom,
    c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
    file('theBenchmark.p',cls_parts__increasing_0) ).

cnf(cls_parts__mono_0,axiom,
    ( ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_parts__mono_0) ).

cnf(cls_parts__subset__iff_1,axiom,
    ( ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_parts__subset__iff_1) ).

cnf(cls_parts__subset__iff_0,axiom,
    ( ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_parts__subset__iff_0) ).

cnf(cls_top__greatest_0,axiom,
    ( c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)
    | ~ class_Orderings_Otop(T_a) ),
    file('theBenchmark.p',cls_top__greatest_0) ).

cnf(cls_sup__top__left_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a)
    | ~ class_Lattices_Obounded__lattice(T_a) ),
    file('theBenchmark.p',cls_sup__top__left_0) ).

cnf(cls_sup__top__right_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a)
    | ~ class_Lattices_Obounded__lattice(T_a) ),
    file('theBenchmark.p',cls_sup__top__right_0) ).

cnf(cls_finite__UNIV_0,axiom,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
    | ~ class_Finite__Set_Ofinite_Ofinite(T_a) ),
    file('theBenchmark.p',cls_finite__UNIV_0) ).

cnf(cls_subset__UNIV_0,axiom,
    c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_subset__UNIV_0) ).

cnf(cls_UNIV__not__empty_0,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_UNIV__not__empty_0) ).

cnf(cls_Un__UNIV__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_Un__UNIV__right_0) ).

cnf(cls_Un__UNIV__left_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_Un__UNIV__left_0) ).

cnf(cls_msg_Osimps_I37_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat),
    file('theBenchmark.p',cls_msg_Osimps_I37_J_0) ).

cnf(cls_msg_Osimps_I46_J_0,axiom,
    c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
    file('theBenchmark.p',cls_msg_Osimps_I46_J_0) ).

cnf(cls_msg_Osimps_I36_J_0,axiom,
    c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
    file('theBenchmark.p',cls_msg_Osimps_I36_J_0) ).

cnf(cls_msg_Osimps_I47_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg),
    file('theBenchmark.p',cls_msg_Osimps_I47_J_0) ).

cnf(cls_msg_Osimps_I31_J_0,axiom,
    hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat),
    file('theBenchmark.p',cls_msg_Osimps_I31_J_0) ).

cnf(cls_msg_Osimps_I39_J_0,axiom,
    c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat),
    file('theBenchmark.p',cls_msg_Osimps_I39_J_0) ).

cnf(cls_msg_Osimps_I30_J_0,axiom,
    c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H),
    file('theBenchmark.p',cls_msg_Osimps_I30_J_0) ).

cnf(cls_msg_Osimps_I38_J_0,axiom,
    hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OHash(V_msg_H),
    file('theBenchmark.p',cls_msg_Osimps_I38_J_0) ).

cnf(cls_msg_Osimps_I15_J_0,axiom,
    c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent),
    file('theBenchmark.p',cls_msg_Osimps_I15_J_0) ).

cnf(cls_msg_Osimps_I11_J_0,axiom,
    c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent),
    file('theBenchmark.p',cls_msg_Osimps_I11_J_0) ).

cnf(cls_msg_Osimps_I10_J_0,axiom,
    c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H),
    file('theBenchmark.p',cls_msg_Osimps_I10_J_0) ).

cnf(cls_msg_Osimps_I14_J_0,axiom,
    c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H),
    file('theBenchmark.p',cls_msg_Osimps_I14_J_0) ).

cnf(cls_Fake__parts__insert_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_Fake__parts__insert_0) ).

cnf(cls_used__nil__subset_0,axiom,
    c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)),
    file('theBenchmark.p',cls_used__nil__subset_0) ).

cnf(cls_finite__range__imageI_0,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)
    | c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(V_f,V_g,T_a,T_c,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c) ),
    file('theBenchmark.p',cls_finite__range__imageI_0) ).

cnf(cls_parts__cut_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))))) ),
    file('theBenchmark.p',cls_parts__cut_0) ).

cnf(cls_inj__image__subset__iff_1,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) ),
    file('theBenchmark.p',cls_inj__image__subset__iff_1) ).

cnf(cls_inj__image__subset__iff_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
    | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_inj__image__subset__iff_0) ).

cnf(cls_inv__image__comp_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_X,T_a,T_b),T_b,T_a) = V_X ),
    file('theBenchmark.p',cls_inv__image__comp_0) ).

cnf(cls_image__inv__f__f_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A ),
    file('theBenchmark.p',cls_image__inv__f__f_0) ).

cnf(cls_gen__analz__insert__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))
    | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
    | c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G) ),
    file('theBenchmark.p',cls_gen__analz__insert__eq_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)),
    file('theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).

cnf(cls_image__surj__f__inv__f_0,axiom,
    ( ~ c_Fun_Osurj(V_f,T_a,T_b)
    | c_Set_Oimage(V_f,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),V_A,T_b,T_a),T_a,T_b) = V_A ),
    file('theBenchmark.p',cls_image__surj__f__inv__f_0) ).

cnf(cls_Nonce__Key__image__eq_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_x)),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg))),
    file('theBenchmark.p',cls_Nonce__Key__image__eq_0) ).

cnf(cls_Hash__notin__image__Key_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(V_X)),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg))),
    file('theBenchmark.p',cls_Hash__notin__image__Key_0) ).

cnf(cls_inj__imp__surj__inv_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a) ),
    file('theBenchmark.p',cls_inj__imp__surj__inv_0) ).

cnf(cls_finite__set_0,axiom,
    c_Finite__Set_Ofinite(c_List_Oset(V_xs,T_a),T_a),
    file('theBenchmark.p',cls_finite__set_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),
    file('theBenchmark.p',cls_event_Osimps_I9_J_0) ).

cnf(cls_synth__increasing_0,axiom,
    c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
    file('theBenchmark.p',cls_synth__increasing_0) ).

cnf(cls_le__sup__iff_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
    | c_lessequals(V_y,V_z,T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_le__sup__iff_1) ).

cnf(cls_le__sup__iff_0,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
    | c_lessequals(V_x,V_z,T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_le__sup__iff_0) ).

cnf(cls_le__supI2_0,axiom,
    ( ~ c_lessequals(V_x,V_b,T_a)
    | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_le__supI2_0) ).

cnf(cls_le__supI1_0,axiom,
    ( ~ c_lessequals(V_x,V_a,T_a)
    | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_le__supI1_0) ).

cnf(cls_le__supE_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
    | c_lessequals(V_b,V_x,T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_le__supE_1) ).

cnf(cls_le__supE_0,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
    | c_lessequals(V_a,V_x,T_a)
    | ~ class_Lattices_Oupper__semilattice(T_a) ),
    file('theBenchmark.p',cls_le__supE_0) ).

cnf(cls_Un__subset__iff_0,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
    | c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_Un__subset__iff_0) ).

cnf(cls_Un__subset__iff_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
    | c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_Un__subset__iff_1) ).

cnf(cls_xt1_I6_J_0,axiom,
    ( ~ c_lessequals(V_y,V_x,T_a)
    | ~ c_lessequals(V_z,V_y,T_a)
    | c_lessequals(V_z,V_x,T_a)
    | ~ class_Orderings_Oorder(T_a) ),
    file('theBenchmark.p',cls_xt1_I6_J_0) ).

cnf(cls_order__trans_0,axiom,
    ( ~ c_lessequals(V_x,V_y,T_a)
    | ~ c_lessequals(V_y,V_z,T_a)
    | c_lessequals(V_x,V_z,T_a)
    | ~ class_Orderings_Opreorder(T_a) ),
    file('theBenchmark.p',cls_order__trans_0) ).

cnf(cls_equalityE_0,axiom,
    c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_equalityE_0) ).

cnf(cls_subset__refl_0,axiom,
    c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_subset__refl_0) ).

cnf(cls_subset__trans_0,axiom,
    ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
    | c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_subset__trans_0) ).

cnf(cls_subset__inj__on_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
    | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ),
    file('theBenchmark.p',cls_subset__inj__on_0) ).

cnf(cls_predicate1D_0,axiom,
    ( ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
    | ~ hBOOL(hAPP(V_P,V_x))
    | hBOOL(hAPP(V_Q,V_x)) ),
    file('theBenchmark.p',cls_predicate1D_0) ).

cnf(cls_order__eq__iff_0,axiom,
    ( c_lessequals(V_x,V_x,T_a)
    | ~ class_Orderings_Oorder(T_a) ),
    file('theBenchmark.p',cls_order__eq__iff_0) ).

cnf(cls_order__eq__refl_0,axiom,
    ( c_lessequals(V_x,V_x,T_a)
    | ~ class_Orderings_Opreorder(T_a) ),
    file('theBenchmark.p',cls_order__eq__refl_0) ).

cnf(cls_finite__subset_0,axiom,
    ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | ~ c_Finite__Set_Ofinite(V_B,T_a)
    | c_Finite__Set_Ofinite(V_A,T_a) ),
    file('theBenchmark.p',cls_finite__subset_0) ).

cnf(cls_rev__predicate1D_0,axiom,
    ( ~ hBOOL(hAPP(V_P,V_x))
    | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
    | hBOOL(hAPP(V_Q,V_x)) ),
    file('theBenchmark.p',cls_rev__predicate1D_0) ).

cnf(cls_rev__finite__subset_0,axiom,
    ( ~ c_Finite__Set_Ofinite(V_B,T_a)
    | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_Finite__Set_Ofinite(V_A,T_a) ),
    file('theBenchmark.p',cls_rev__finite__subset_0) ).

cnf(cls_analz__mono_0,axiom,
    ( ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_analz__mono_0) ).

cnf(cls_subset__singletonD_0,axiom,
    ( ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))
    | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
    | V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
    file('theBenchmark.p',cls_subset__singletonD_0) ).

cnf(cls_inj__transfer_1,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | ~ hBOOL(hAPP(V_P,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b))))
    | hBOOL(hAPP(V_P,V_x)) ),
    file('theBenchmark.p',cls_inj__transfer_1) ).

cnf(cls_insert__mono_0,axiom,
    ( ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool))
    | c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_insert__mono_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)),
    file('theBenchmark.p',cls_Un__empty_2) ).

cnf(cls_bij__imp__bij__inv_0,axiom,
    ( ~ c_Fun_Obij(V_f,T_a,T_b)
    | c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a) ),
    file('theBenchmark.p',cls_bij__imp__bij__inv_0) ).

cnf(cls_msg_Osimps_I32_J_0,axiom,
    c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H),
    file('theBenchmark.p',cls_msg_Osimps_I32_J_0) ).

cnf(cls_analz__subset__cong_0,axiom,
    ( ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_analz__subset__cong_0) ).

cnf(cls_linorder__linear_0,axiom,
    ( c_lessequals(V_x,V_y,T_a)
    | c_lessequals(V_y,V_x,T_a)
    | ~ class_Orderings_Olinorder(T_a) ),
    file('theBenchmark.p',cls_linorder__linear_0) ).

cnf(cls_ns__sharedp_ONil_0,axiom,
    hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))),
    file('theBenchmark.p',cls_ns__sharedp_ONil_0) ).

cnf(cls_parts__insert__subset__Un_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),V_G))
    | c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_parts__insert__subset__Un_0) ).

cnf(cls_insert__Key__image_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),V_C,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(V_K,V_KK,tc_nat),tc_nat,tc_Message_Omsg),V_C,tc_fun(tc_Message_Omsg,tc_bool)),
    file('theBenchmark.p',cls_insert__Key__image_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)),
    file('theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Gets_0) ).

cnf(cls_subset__insert_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
    | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_subset__insert_0) ).

cnf(cls_subset__insert_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_subset__insert_1) ).

cnf(cls_subset__insert__iff_1,axiom,
    ( ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_subset__insert__iff_1) ).

cnf(cls_subset__insert__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_subset__insert__iff_2) ).

cnf(cls_insert__subset_0,axiom,
    ( ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ),
    file('theBenchmark.p',cls_insert__subset_0) ).

cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa))
    | c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).

cnf(cls_singletonE_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)))
    | V_b = V_a ),
    file('theBenchmark.p',cls_singletonE_0) ).

cnf(cls_insert__subset_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
    | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_insert__subset_2) ).

cnf(cls_singleton__iff_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),
    file('theBenchmark.p',cls_singleton__iff_1) ).

cnf(cls_inv__into__into_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oimage(V_f,V_A,T_b,T_a)))
    | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x)),V_A)) ),
    file('theBenchmark.p',cls_inv__into__into_0) ).

cnf(cls_inv__into__injective_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),c_Set_Oimage(V_f,V_A,T_a,T_b)))
    | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_y),c_Set_Oimage(V_f,V_A,T_a,T_b)))
    | V_x = V_y
    | hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x) != hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y) ),
    file('theBenchmark.p',cls_inv__into__injective_0) ).

cnf(cls_image__subset__iff_0,axiom,
    ( ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B)) ),
    file('theBenchmark.p',cls_image__subset__iff_0) ).

cnf(cls_f__inv__into__f_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_Set_Oimage(V_f,V_A,T_b,T_a)))
    | hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y)) = V_y ),
    file('theBenchmark.p',cls_f__inv__into__f_0) ).

cnf(cls_bot__empty__eq_0,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))),
    file('theBenchmark.p',cls_bot__empty__eq_0) ).

cnf(cls_inv__into__f__f_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x ),
    file('theBenchmark.p',cls_inv__into__f__f_0) ).

cnf(cls_inv__into__f__eq_0,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x
    | ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a)
    | ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A)) ),
    file('theBenchmark.p',cls_inv__into__f__eq_0) ).

cnf(cls_Sup__upper_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
    | ~ class_Complete__Lattice_Ocomplete__lattice(T_a) ),
    file('theBenchmark.p',cls_Sup__upper_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)),
    file('theBenchmark.p',cls_set__subset__Cons_0) ).

cnf(cls_set__empty_1,axiom,
    c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_set__empty_1) ).

cnf(cls_set__empty2_0,axiom,
    ( V_xs = c_List_Olist_ONil(T_a)
    | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_List_Oset(V_xs,T_a) ),
    file('theBenchmark.p',cls_set__empty2_0) ).

cnf(cls_set__empty2_1,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a),
    file('theBenchmark.p',cls_set__empty2_1) ).

cnf(cls_set__empty_0,axiom,
    ( V_xs = c_List_Olist_ONil(T_a)
    | c_List_Oset(V_xs,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_set__empty_0) ).

cnf(cls_in__parts__UnE_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(V_G)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(V_H))) ),
    file('theBenchmark.p',cls_in__parts__UnE_0) ).

cnf(cls_parts__trans_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_G)))
    | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H))) ),
    file('theBenchmark.p',cls_parts__trans_0) ).

cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(V_G)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))))) ),
    file('theBenchmark.p',cls_analz__image__freshK__simps_I61_J_0) ).

cnf(cls_analz__trans_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_G)))
    | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_analz__trans_0) ).

cnf(cls_Sup__insert_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
    | ~ class_Complete__Lattice_Ocomplete__lattice(T_a) ),
    file('theBenchmark.p',cls_Sup__insert_0) ).

cnf(cls_Sup__singleton_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a
    | ~ class_Complete__Lattice_Ocomplete__lattice(T_a) ),
    file('theBenchmark.p',cls_Sup__singleton_0) ).

cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
    ( V_A = V_B
    | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
    | c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) ),
    file('theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).

cnf(cls_finite__imageD_0,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
    | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
    | c_Finite__Set_Ofinite(V_A,T_b) ),
    file('theBenchmark.p',cls_finite__imageD_0) ).

cnf(cls_Nonce__synth_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_n)),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_n)),V_H)) ),
    file('theBenchmark.p',cls_Nonce__synth_0) ).

cnf(cls_Nonce__synth__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),V_H)) ),
    file('theBenchmark.p',cls_Nonce__synth__eq_0) ).

cnf(cls_Nonce__synth__eq_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_Nonce__synth__eq_1) ).

cnf(cls_Hash__synth_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(V_X)),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(V_X)),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_Hash__synth_0) ).

cnf(cls_synth__trans_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_G)))
    | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_synth__trans_0) ).

cnf(cls_synth_OHash_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(V_X)),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_synth_OHash_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)),
    file('theBenchmark.p',cls_analz__subset__parts_0) ).

cnf(cls_bij__def_0,axiom,
    ( ~ c_Fun_Obij(V_f,T_a,T_b)
    | c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ),
    file('theBenchmark.p',cls_bij__def_0) ).

cnf(cls_inv__f__f_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x ),
    file('theBenchmark.p',cls_inv__f__f_0) ).

cnf(cls_inv__f__eq_0,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x
    | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) ),
    file('theBenchmark.p',cls_inv__f__eq_0) ).

cnf(cls_parts__insert__Hash_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg),
    file('theBenchmark.p',cls_parts__insert__Hash_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)),
    file('theBenchmark.p',cls_parts__insert__subset_0) ).

cnf(cls_parts__insert__Nonce_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg),
    file('theBenchmark.p',cls_parts__insert__Nonce_0) ).

cnf(cls_Fake__analz__insert_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_G))))
    | c_lessequals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_Fake__analz__insert_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)),
    file('theBenchmark.p',cls_parts__synth_0) ).

cnf(cls_pushes_I9_J_0,axiom,
    c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    file('theBenchmark.p',cls_pushes_I9_J_0) ).

cnf(cls_pushes_I11_J_0,axiom,
    c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    file('theBenchmark.p',cls_pushes_I11_J_0) ).

cnf(cls_analz__insert__Hash_0,axiom,
    c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg),
    file('theBenchmark.p',cls_analz__insert__Hash_0) ).

cnf(cls_analz__insert__Nonce_0,axiom,
    c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg),
    file('theBenchmark.p',cls_analz__insert__Nonce_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)),
    file('theBenchmark.p',cls_analz__insert_0) ).

cnf(cls_pushes_I2_J_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    file('theBenchmark.p',cls_pushes_I2_J_0) ).

cnf(cls_pushes_I4_J_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    file('theBenchmark.p',cls_pushes_I4_J_0) ).

cnf(cls_synth__analz__mono_0,axiom,
    ( ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))
    | c_lessequals(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_synth__analz__mono_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)),
    file('theBenchmark.p',cls_analz__synth_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)),
    file('theBenchmark.p',cls_analz__synth__Un_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)),
    file('theBenchmark.p',cls_synth__insert_0) ).

cnf(cls_invKey__image__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,V_x)),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat)))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),V_x),V_A)) ),
    file('theBenchmark.p',cls_invKey__image__eq_0) ).

cnf(cls_invKey__image__eq_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_x),V_A))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,V_x)),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat))) ),
    file('theBenchmark.p',cls_invKey__image__eq_1) ).

cnf(cls_surj__f__inv__f_0,axiom,
    ( ~ c_Fun_Osurj(V_f,T_a,T_b)
    | hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),V_y)) = V_y ),
    file('theBenchmark.p',cls_surj__f__inv__f_0) ).

cnf(cls_keysFor__insert__Nonce_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    file('theBenchmark.p',cls_keysFor__insert__Nonce_0) ).

cnf(cls_keysFor__insert__Hash_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    file('theBenchmark.p',cls_keysFor__insert__Hash_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)),
    file('theBenchmark.p',cls_knows__subset__knows__Cons_0) ).

cnf(cls_used__Gets_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oused(V_evs),
    file('theBenchmark.p',cls_used__Gets_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)),
    file('theBenchmark.p',cls_initState__subset__knows_0) ).

cnf(cls_bij__def_2,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | ~ c_Fun_Osurj(V_f,T_a,T_b)
    | c_Fun_Obij(V_f,T_a,T_b) ),
    file('theBenchmark.p',cls_bij__def_2) ).

cnf(cls_bijI_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | ~ c_Fun_Osurj(V_f,T_a,T_b)
    | c_Fun_Obij(V_f,T_a,T_b) ),
    file('theBenchmark.p',cls_bijI_0) ).

cnf(cls_finite__UNIV__surj__inj_0,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
    | ~ c_Fun_Osurj(V_f,T_a,T_a)
    | c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_a) ),
    file('theBenchmark.p',cls_finite__UNIV__surj__inj_0) ).

cnf(cls_finite__UNIV__inj__surj_0,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
    | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_a)
    | c_Fun_Osurj(V_f,T_a,T_a) ),
    file('theBenchmark.p',cls_finite__UNIV__inj__surj_0) ).

cnf(cls_surj__imp__inj__inv_0,axiom,
    ( ~ c_Fun_Osurj(V_f,T_a,T_b)
    | c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) ),
    file('theBenchmark.p',cls_surj__imp__inj__inv_0) ).

cnf(cls_Nonce__notin__initState_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),c_Message_Oparts(c_Event_OinitState(V_B)))),
    file('theBenchmark.p',cls_Nonce__notin__initState_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),
    file('theBenchmark.p',cls_knows__Spy__Gets_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)),
    file('theBenchmark.p',cls_knows__subset__knows__Says_0) ).

cnf(cls_priEK__noteq__shrK_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)) != hAPP(c_Public_OshrK,V_B),
    file('theBenchmark.p',cls_priEK__noteq__shrK_0) ).

cnf(cls_keysFor__image__Key_0,axiom,
    c_Message_OkeysFor(c_Set_Oimage(c_Message_Omsg_OKey,V_E,tc_nat,tc_Message_Omsg)) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),
    file('theBenchmark.p',cls_keysFor__image__Key_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)),
    file('theBenchmark.p',cls_knows__subset__knows__Notes_0) ).

cnf(cls_ns__sharedp__ns__shared__eq_0,axiom,
    c_NS__Shared__Mirabelle_Ons__sharedp(v_x) = hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_x),c_NS__Shared__Mirabelle_Ons__shared),
    file('theBenchmark.p',cls_ns__sharedp__ns__shared__eq_0) ).

cnf(cls_keysFor__parts__initState_0,axiom,
    c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(V_C))) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),
    file('theBenchmark.p',cls_keysFor__parts__initState_0) ).

cnf(cls_Nonce__notin__used__empty_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)))),
    file('theBenchmark.p',cls_Nonce__notin__used__empty_0) ).

cnf(cls_ns__sharedp_ONS1_0,axiom,
    ( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_NA)),c_Event_Oused(V_evs1)))
    | hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent))) ),
    file('theBenchmark.p',cls_ns__sharedp_ONS1_0) ).

cnf(cls_range__ex1__eq_1,axiom,
    ( V_y = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(V_f,V_y),V_f,T_a,T_aa)
    | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_y)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a))) ),
    file('theBenchmark.p',cls_range__ex1__eq_1) ).

cnf(cls_range__ex1__eq_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)))
    | V_b = hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(V_b,V_f,T_b,T_a)) ),
    file('theBenchmark.p',cls_range__ex1__eq_0) ).

cnf(cls_range__ex1__eq_3,axiom,
    ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)))
    | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa) != V_x ),
    file('theBenchmark.p',cls_range__ex1__eq_3) ).

cnf(cls_inj__transfer_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | hBOOL(hAPP(hAPP(c_in(T_b),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)))
    | hBOOL(hAPP(V_P,V_x)) ),
    file('theBenchmark.p',cls_inj__transfer_0) ).

cnf(cls_range__ex1__eq_2,axiom,
    ( hAPP(V_f,V_x) = hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa))
    | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)))
    | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) ),
    file('theBenchmark.p',cls_range__ex1__eq_2) ).

cnf(cls_Hash__synth__analz_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y))),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y))),c_Message_Osynth(c_Message_Oanalz(V_H)))) ),
    file('theBenchmark.p',cls_Hash__synth__analz_1) ).

cnf(cls_Hash__synth__analz_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y))),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y))),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_Hash__synth__analz_0) ).

cnf(cls_synthp__synth__eq_0,axiom,
    c_Message_Osynthp(c_COMBC(c_in(tc_Message_Omsg),V_H,tc_Message_Omsg,tc_fun(tc_Message_Omsg,tc_bool),tc_bool),v_x) = hAPP(hAPP(c_in(tc_Message_Omsg),v_x),c_Message_Osynth(V_H)),
    file('theBenchmark.p',cls_synthp__synth__eq_0) ).

cnf(cls_analz__image__freshK__lemma_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool)))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))))) ),
    file('theBenchmark.p',cls_analz__image__freshK__lemma_1) ).

cnf(cls_analz__image__freshK__lemma_5,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))))) ),
    file('theBenchmark.p',cls_analz__image__freshK__lemma_5) ).

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)),
    file('theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).

cnf(cls_keysFor__insert__Crypt_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat),
    file('theBenchmark.p',cls_keysFor__insert__Crypt_0) ).

cnf(cls_knows__Gets_0,axiom,
    ( V_A = c_Message_Oagent_OSpy
    | c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_knows__Gets_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)),
    file('theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Says_0) ).

cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
    c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Notes_0) ).

cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(V_A,V_evs)))
    | V_A = c_Message_Oagent_OSpy
    | hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(V_A,V_X,V_evs),V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OGets(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_OinitState(V_A))) ),
    file('theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).

cnf(cls_knows__Spy__imp__Says__Notes__initState_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))
    | hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(V_X,V_evs),V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_OinitState(c_Message_Oagent_OSpy))) ),
    file('theBenchmark.p',cls_knows__Spy__imp__Says__Notes__initState_0) ).

cnf(cls_publicKey__notin__image__privateKey_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat))),
    file('theBenchmark.p',cls_publicKey__notin__image__privateKey_0) ).

cnf(cls_privateKey__image__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat)))
    | V_b = V_c ),
    file('theBenchmark.p',cls_privateKey__image__eq_0) ).

cnf(cls_symKey__neq__priEK_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A))),c_Message_OsymKeys)),
    file('theBenchmark.p',cls_symKey__neq__priEK_0) ).

cnf(cls_Fake__parts__insert__in__Un_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Z),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Z),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)))) ),
    file('theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).

cnf(cls_synth__analz__insert__eq_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_G)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)))) ),
    file('theBenchmark.p',cls_synth__analz__insert__eq_1) ).

cnf(cls_synth__analz__insert__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_G))) ),
    file('theBenchmark.p',cls_synth__analz__insert__eq_0) ).

cnf(cls_analz__image__freshK__lemma_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))))) ),
    file('theBenchmark.p',cls_analz__image__freshK__lemma_2) ).

cnf(cls_analz__image__freshK__lemma_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool)))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))))) ),
    file('theBenchmark.p',cls_analz__image__freshK__lemma_0) ).

cnf(cls_analz__image__freshK__lemma_4,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))))) ),
    file('theBenchmark.p',cls_analz__image__freshK__lemma_4) ).

cnf(cls_analz__image__freshK__lemma_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))))) ),
    file('theBenchmark.p',cls_analz__image__freshK__lemma_3) ).

cnf(cls_analz__mono__contra_I3_J_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))) ),
    file('theBenchmark.p',cls_analz__mono__contra_I3_J_0) ).

cnf(cls_ns__sharedp_ONS3_0,axiom,
    ( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3))
    | V_A = c_Message_Oagent_OServer
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))))),c_List_Oset(V_evs3,tc_Event_Oevent)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA))))),c_List_Oset(V_evs3,tc_Event_Oevent)))
    | hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent))) ),
    file('theBenchmark.p',cls_ns__sharedp_ONS3_0) ).

cnf(cls_Gets__imp__knows__agents_0,axiom,
    ( V_A = c_Message_Oagent_OSpy
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OGets(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(V_A,V_evs))) ),
    file('theBenchmark.p',cls_Gets__imp__knows__agents_0) ).

cnf(cls_shrK__notin__image__privateKey_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,V_x)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat,tc_nat))),
    file('theBenchmark.p',cls_shrK__notin__image__privateKey_0) ).

cnf(cls_privateKey__image__eq_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),V_AS))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_x),V_A))),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_x),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat))) ),
    file('theBenchmark.p',cls_privateKey__image__eq_2) ).

cnf(cls_privateKey__image__eq_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),V_AS)) ),
    file('theBenchmark.p',cls_privateKey__image__eq_1) ).

cnf(cls_ns__sharedp_ONS5_0,axiom,
    ( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs5,tc_Event_Oevent)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))))),c_List_Oset(V_evs5,tc_Event_Oevent)))
    | hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent))) ),
    file('theBenchmark.p',cls_ns__sharedp_ONS5_0) ).

cnf(cls_lemma1_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(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)) ),
    file('theBenchmark.p',cls_lemma1_0) ).

cnf(cls_lemma2_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H)))
    | c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('theBenchmark.p',cls_lemma2_0) ).

cnf(cls_ns__sharedp_OOops_0,axiom,
    ( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evso))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evso,tc_Event_Oevent)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))))),c_List_Oset(V_evso,tc_Event_Oevent)))
    | hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent))) ),
    file('theBenchmark.p',cls_ns__sharedp_OOops_0) ).

cnf(cls_ns__sharedp_ONS4_0,axiom,
    ( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_NB)),c_Event_Oused(V_evs4)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))))),c_List_Oset(V_evs4,tc_Event_Oevent)))
    | hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent))) ),
    file('theBenchmark.p',cls_ns__sharedp_ONS4_0) ).

cnf(cls_ns__sharedp_OFake_0,axiom,
    ( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf)))))
    | hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent))) ),
    file('theBenchmark.p',cls_ns__sharedp_OFake_0) ).

cnf(cls_ns__sharedp_ONS2_0,axiom,
    ( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_KAB)),c_Event_Oused(V_evs2)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_KAB),c_Message_OsymKeys))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA))))),c_List_Oset(V_evs2,tc_Event_Oevent)))
    | hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent))) ),
    file('theBenchmark.p',cls_ns__sharedp_ONS2_0) ).

cnf(cls_keysFor__parts__insert_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oparts(V_H))) ),
    file('theBenchmark.p',cls_keysFor__parts__insert_0) ).

cnf(cls_ns__shared_ONS1_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs1),c_NS__Shared__Mirabelle_Ons__shared))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_NA)),c_Event_Oused(V_evs1)))
    | hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared)) ),
    file('theBenchmark.p',cls_ns__shared_ONS1_0) ).

cnf(cls_ns__shared_ONS3_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs3),c_NS__Shared__Mirabelle_Ons__shared))
    | V_A = c_Message_Oagent_OServer
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))))),c_List_Oset(V_evs3,tc_Event_Oevent)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA))))),c_List_Oset(V_evs3,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared)) ),
    file('theBenchmark.p',cls_ns__shared_ONS3_0) ).

cnf(cls_ns__shared_ONS5_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs5),c_NS__Shared__Mirabelle_Ons__shared))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs5,tc_Event_Oevent)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))))),c_List_Oset(V_evs5,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared)) ),
    file('theBenchmark.p',cls_ns__shared_ONS5_0) ).

cnf(cls_ns__shared_OOops_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evso),c_NS__Shared__Mirabelle_Ons__shared))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evso,tc_Event_Oevent)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))))),c_List_Oset(V_evso,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared)) ),
    file('theBenchmark.p',cls_ns__shared_OOops_0) ).

cnf(cls_ns__shared_ONS4_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs4),c_NS__Shared__Mirabelle_Ons__shared))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_NB)),c_Event_Oused(V_evs4)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))))),c_List_Oset(V_evs4,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared)) ),
    file('theBenchmark.p',cls_ns__shared_ONS4_0) ).

cnf(cls_ns__shared_ONS2_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs2),c_NS__Shared__Mirabelle_Ons__shared))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_KAB)),c_Event_Oused(V_evs2)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_KAB),c_Message_OsymKeys))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA))))),c_List_Oset(V_evs2,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared)) ),
    file('theBenchmark.p',cls_ns__shared_ONS2_0) ).

cnf(cls_Crypt__synth__analz_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H)))) ),
    file('theBenchmark.p',cls_Crypt__synth__analz_0) ).

cnf(cls_injD_0,axiom,
    ( V_x = V_y
    | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | hAPP(V_f,V_x) != hAPP(V_f,V_y) ),
    file('theBenchmark.p',cls_injD_0) ).

cnf(cls_Says__imp__spies_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))) ),
    file('theBenchmark.p',cls_Says__imp__spies_0) ).

cnf(cls_analz__mono__contra_I2_J_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))) ),
    file('theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).

cnf(cls_analz__mono__contra_I1_J_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))) ),
    file('theBenchmark.p',cls_analz__mono__contra_I1_J_0) ).

cnf(cls_synthp_OAgent_0,axiom,
    hBOOL(c_Message_Osynthp(V_H,c_Message_Omsg_OAgent(V_agt))),
    file('theBenchmark.p',cls_synthp_OAgent_0) ).

cnf(cls_agent_Osimps_I4_J_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    file('theBenchmark.p',cls_agent_Osimps_I4_J_0) ).

cnf(cls_agent_Osimps_I5_J_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    file('theBenchmark.p',cls_agent_Osimps_I5_J_0) ).

cnf(cls_pubK__neq__shrK_0,axiom,
    hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C),
    file('theBenchmark.p',cls_pubK__neq__shrK_0) ).

cnf(cls_shrK__neq__pubK_0,axiom,
    hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A),
    file('theBenchmark.p',cls_shrK__neq__pubK_0) ).

cnf(cls_invKey__shrK_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A),
    file('theBenchmark.p',cls_invKey__shrK_0) ).

cnf(cls_privateKey__notin__image__publicKey_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x))),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat))),
    file('theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).

cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))) ),
    file('theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).

cnf(cls_ns__shared_OFake_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evsf),c_NS__Shared__Mirabelle_Ons__shared))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf)))))
    | hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared)) ),
    file('theBenchmark.p',cls_ns__shared_OFake_0) ).

cnf(cls_analz_ODecrypt_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Oanalz(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_analz_ODecrypt_0) ).

cnf(cls_Crypt__imp__keysFor_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OkeysFor(V_H))) ),
    file('theBenchmark.p',cls_Crypt__imp__keysFor_0) ).

cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,V_K)),c_Message_OkeysFor(V_H))) ),
    file('theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).

cnf(cls_knows__Spy__Notes_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_knows__Spy__Notes_0) ).

cnf(cls_privateKey__notin__image__shrK_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x))),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat))),
    file('theBenchmark.p',cls_privateKey__notin__image__shrK_0) ).

cnf(cls_Oops__parts__spies_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X)))))),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))) ),
    file('theBenchmark.p',cls_Oops__parts__spies_0) ).

cnf(cls_Notes__imp__knows__Spy_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))) ),
    file('theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).

cnf(cls_Says__Server__message__form_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))))),c_List_Oset(V_evs,tc_Event_Oevent)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))
    | V_K_H = hAPP(c_Public_OshrK,V_A) ),
    file('theBenchmark.p',cls_Says__Server__message__form_2) ).

cnf(cls_Says__Server__message__form_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))))),c_List_Oset(V_evs,tc_Event_Oevent)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))
    | V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))) ),
    file('theBenchmark.p',cls_Says__Server__message__form_1) ).

cnf(cls_insert__image_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b) ),
    file('theBenchmark.p',cls_insert__image_0) ).

cnf(cls_analz_OSnd_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_analz_OSnd_0) ).

cnf(cls_analz_OFst_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_analz_OFst_0) ).

cnf(cls_MPair__used_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Event_Oused(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Event_Oused(V_H))) ),
    file('theBenchmark.p',cls_MPair__used_1) ).

cnf(cls_MPair__used_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Event_Oused(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oused(V_H))) ),
    file('theBenchmark.p',cls_MPair__used_0) ).

cnf(cls_synth_OMPair_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_synth_OMPair_0) ).

cnf(cls_MPair__synth_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_MPair__synth_1) ).

cnf(cls_MPair__synth_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_MPair__synth_0) ).

cnf(cls_parts__insertI_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(V_G)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)))) ),
    file('theBenchmark.p',cls_parts__insertI_0) ).

cnf(cls_parts__cut__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H)))
    | c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H) ),
    file('theBenchmark.p',cls_parts__cut__eq_0) ).

cnf(cls_not__parts__not__analz_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_not__parts__not__analz_0) ).

cnf(cls_analz__into__parts_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(V_H))) ),
    file('theBenchmark.p',cls_analz__into__parts_0) ).

cnf(cls_analz__conj__parts_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H))) ),
    file('theBenchmark.p',cls_analz__conj__parts_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),
    file('theBenchmark.p',cls_parts__insert__MPair_0) ).

cnf(cls_Crypt__synth_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_Crypt__synth_0) ).

cnf(cls_Crypt__synth__analz_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(c_Message_Oanalz(V_H)))) ),
    file('theBenchmark.p',cls_Crypt__synth__analz_1) ).

cnf(cls_analz__Crypt__if_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H)))
    | c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_analz__Crypt__if_1) ).

cnf(cls_analz__Crypt__if_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H)))
    | 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) ),
    file('theBenchmark.p',cls_analz__Crypt__if_0) ).

cnf(cls_publicKey__in__initState_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_B))),
    file('theBenchmark.p',cls_publicKey__in__initState_0) ).

cnf(cls_publicKey__into__used_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs))),
    file('theBenchmark.p',cls_publicKey__into__used_0) ).

cnf(cls_analz__parts_0,axiom,
    c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
    file('theBenchmark.p',cls_analz__parts_0) ).

cnf(cls_parts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
    file('theBenchmark.p',cls_parts__analz_0) ).

cnf(cls_Crypt__notin__used__empty_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)))),
    file('theBenchmark.p',cls_Crypt__notin__used__empty_0) ).

cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
    c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) = c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a),
    file('theBenchmark.p',cls_analz__image__freshK__simps_I56_J_0) ).

cnf(cls_image__insert_0,axiom,
    c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a),
    file('theBenchmark.p',cls_image__insert_0) ).

cnf(cls_image__image_0,axiom,
    c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a),
    file('theBenchmark.p',cls_image__image_0) ).

cnf(cls_synthp_OMPair_0,axiom,
    ( ~ hBOOL(c_Message_Osynthp(V_H,V_X))
    | ~ hBOOL(c_Message_Osynthp(V_H,V_Y))
    | hBOOL(c_Message_Osynthp(V_H,c_Message_Omsg_OMPair(V_X,V_Y))) ),
    file('theBenchmark.p',cls_synthp_OMPair_0) ).

cnf(cls_initState__into__used_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(c_Event_OinitState(V_B))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oused(V_evs))) ),
    file('theBenchmark.p',cls_initState__into__used_0) ).

cnf(cls_MPair__synth__analz_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)))) ),
    file('theBenchmark.p',cls_MPair__synth__analz_2) ).

cnf(cls_MPair__synth__analz_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H)))) ),
    file('theBenchmark.p',cls_MPair__synth__analz_0) ).

cnf(cls_MPair__synth__analz_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)))) ),
    file('theBenchmark.p',cls_MPair__synth__analz_1) ).

cnf(cls_synth__synthD_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Osynth(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_synth__synthD_0) ).

cnf(cls_synth_OInj_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_synth_OInj_0) ).

cnf(cls_analz__analzD_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(c_Message_Oanalz(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_analz__analzD_0) ).

cnf(cls_analz_OInj_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_analz_OInj_0) ).

cnf(cls_insert__absorb_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
    | c_Set_Oinsert(V_a,V_A,T_a) = V_A ),
    file('theBenchmark.p',cls_insert__absorb_0) ).

cnf(cls_insert__ident_0,axiom,
    ( V_A = V_B
    | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
    | c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) ),
    file('theBenchmark.p',cls_insert__ident_0) ).

cnf(cls_inj__onD_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
    | V_x = V_y
    | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
    | hAPP(V_f,V_x) != hAPP(V_f,V_y) ),
    file('theBenchmark.p',cls_inj__onD_0) ).

cnf(cls_inj__on__def_0,axiom,
    ( V_x = V_xa
    | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
    | hAPP(V_f,V_x) != hAPP(V_f,V_xa) ),
    file('theBenchmark.p',cls_inj__on__def_0) ).

cnf(cls_inj__on__iff_0,axiom,
    ( V_x = V_y
    | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
    | hAPP(V_f,V_x) != hAPP(V_f,V_y) ),
    file('theBenchmark.p',cls_inj__on__iff_0) ).

cnf(cls_inj__on__contraD_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
    | V_x = V_y
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
    | hAPP(V_f,V_x) != hAPP(V_f,V_y) ),
    file('theBenchmark.p',cls_inj__on__contraD_0) ).

cnf(cls_insertCI_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))),
    file('theBenchmark.p',cls_insertCI_1) ).

cnf(cls_insertI1_0,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))),
    file('theBenchmark.p',cls_insertI1_0) ).

cnf(cls_insert__iff_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))),
    file('theBenchmark.p',cls_insert__iff_1) ).

cnf(cls_type__definition_OAbs__inject_0,axiom,
    ( V_x = V_y
    | ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
    | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_y),V_A))
    | hAPP(V_Abs,V_x) != hAPP(V_Abs,V_y) ),
    file('theBenchmark.p',cls_type__definition_OAbs__inject_0) ).

cnf(cls_type__definition_OAbs__inverse_0,axiom,
    ( ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_y),V_A))
    | hAPP(V_Rep,hAPP(V_Abs,V_y)) = V_y ),
    file('theBenchmark.p',cls_type__definition_OAbs__inverse_0) ).

cnf(cls_insertE_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))
    | V_a = V_b
    | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ),
    file('theBenchmark.p',cls_insertE_0) ).

cnf(cls_type__definition_ORep_0,axiom,
    ( ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)
    | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_Rep,V_x)),V_A)) ),
    file('theBenchmark.p',cls_type__definition_ORep_0) ).

cnf(cls_insertCI_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a))) ),
    file('theBenchmark.p',cls_insertCI_0) ).

cnf(cls_insert__iff_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) ),
    file('theBenchmark.p',cls_insert__iff_2) ).

cnf(cls_Says__imp__analz__Spy_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))) ),
    file('theBenchmark.p',cls_Says__imp__analz__Spy_0) ).

cnf(cls_privateKey__into__used_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)))),c_Event_Oused(V_evs))),
    file('theBenchmark.p',cls_privateKey__into__used_0) ).

cnf(cls_keysFor__insert__MPair_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    file('theBenchmark.p',cls_keysFor__insert__MPair_0) ).

cnf(cls_Fake__analz__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))
    | c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H)) ),
    file('theBenchmark.p',cls_Fake__analz__eq_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),
    file('theBenchmark.p',cls_event_Osimps_I7_J_0) ).

cnf(cls_analz__insertI_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(V_G)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)))) ),
    file('theBenchmark.p',cls_analz__insertI_0) ).

cnf(cls_not__Cons__self_0,axiom,
    V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
    file('theBenchmark.p',cls_not__Cons__self_0) ).

cnf(cls_not__Cons__self2_0,axiom,
    c_List_Olist_OCons(V_x,V_t,T_a) != V_t,
    file('theBenchmark.p',cls_not__Cons__self2_0) ).

cnf(cls_not__symKeys__pubK_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys)),
    file('theBenchmark.p',cls_not__symKeys__pubK_0) ).

cnf(cls_synth__idem_0,axiom,
    c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H),
    file('theBenchmark.p',cls_synth__idem_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),
    file('theBenchmark.p',cls_analz__insert__MPair_0) ).

cnf(cls_analz__insert__Agent_0,axiom,
    c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg),
    file('theBenchmark.p',cls_analz__insert__Agent_0) ).

cnf(cls_list_Osimps_I3_J_0,axiom,
    c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a),
    file('theBenchmark.p',cls_list_Osimps_I3_J_0) ).

cnf(cls_neq__Nil__conv_1,axiom,
    c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a),
    file('theBenchmark.p',cls_neq__Nil__conv_1) ).

cnf(cls_analz__insert__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))
    | c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H) ),
    file('theBenchmark.p',cls_analz__insert__eq_0) ).

cnf(cls_insert__code_2,axiom,
    ( ~ hBOOL(hAPP(V_A,V_x))
    | hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ),
    file('theBenchmark.p',cls_insert__code_2) ).

cnf(cls_keysFor__insert__Agent_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    file('theBenchmark.p',cls_keysFor__insert__Agent_0) ).

cnf(cls_Notes__imp__knows_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(V_A,V_evs))) ),
    file('theBenchmark.p',cls_Notes__imp__knows_0) ).

cnf(cls_set__ConsD_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)))
    | V_y = V_x
    | hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_List_Oset(V_xs,T_a))) ),
    file('theBenchmark.p',cls_set__ConsD_0) ).

cnf(cls_priK__in__initState_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)))),c_Event_OinitState(V_A))),
    file('theBenchmark.p',cls_priK__in__initState_0) ).

cnf(cls_COMBB__def_0,axiom,
    hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
    file('theBenchmark.p',cls_COMBB__def_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),
    file('theBenchmark.p',cls_insert__commute_0) ).

cnf(cls_publicKey__inject_0,axiom,
    ( V_b = V_c
    | hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ),
    file('theBenchmark.p',cls_publicKey__inject_0) ).

cnf(cls_publicKey__inject_1,axiom,
    ( V_A = V_A_H
    | hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ),
    file('theBenchmark.p',cls_publicKey__inject_1) ).

cnf(cls_privateKey__neq__publicKey_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H),
    file('theBenchmark.p',cls_privateKey__neq__publicKey_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),
    file('theBenchmark.p',cls_event_Osimps_I6_J_0) ).

cnf(cls_inj__on__insert_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)
    | c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ),
    file('theBenchmark.p',cls_inj__on__insert_0) ).

cnf(cls_invKey__eq_0,axiom,
    ( V_K = V_K_H
    | hAPP(c_Message_OinvKey,V_K) != hAPP(c_Message_OinvKey,V_K_H) ),
    file('theBenchmark.p',cls_invKey__eq_0) ).

cnf(cls_synth__cut_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_synth__cut_0) ).

cnf(cls_Says__imp__used_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oused(V_evs))) ),
    file('theBenchmark.p',cls_Says__imp__used_0) ).

cnf(cls_type__definition_ORep__inject_0,axiom,
    ( V_x = V_y
    | ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)
    | hAPP(V_Rep,V_x) != hAPP(V_Rep,V_y) ),
    file('theBenchmark.p',cls_type__definition_ORep__inject_0) ).

cnf(cls_analz__cut_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_analz__cut_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),
    file('theBenchmark.p',cls_insert__absorb2_0) ).

cnf(cls_insert__code_0,axiom,
    ( ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
    | V_y = V_x
    | hBOOL(hAPP(V_A,V_x)) ),
    file('theBenchmark.p',cls_insert__code_0) ).

cnf(cls_symKeys__invKey__iff_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,V_K)),c_Message_OsymKeys))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys)) ),
    file('theBenchmark.p',cls_symKeys__invKey__iff_0) ).

cnf(cls_symKeys__invKey__iff_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,V_K)),c_Message_OsymKeys)) ),
    file('theBenchmark.p',cls_symKeys__invKey__iff_1) ).

cnf(cls_keysFor__insert__Key_0,axiom,
    c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    file('theBenchmark.p',cls_keysFor__insert__Key_0) ).

cnf(cls_invKey__K_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))
    | hAPP(c_Message_OinvKey,V_K) = V_K ),
    file('theBenchmark.p',cls_invKey__K_0) ).

cnf(cls_knows__Notes_0,axiom,
    c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg),
    file('theBenchmark.p',cls_knows__Notes_0) ).

cnf(cls_analz__image__Key_0,axiom,
    c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg),
    file('theBenchmark.p',cls_analz__image__Key_0) ).

cnf(cls_list_Osimps_I2_J_0,axiom,
    c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
    file('theBenchmark.p',cls_list_Osimps_I2_J_0) ).

cnf(cls_event_Osimps_I3_J_1,axiom,
    ( V_msg = V_msg_H
    | c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ),
    file('theBenchmark.p',cls_event_Osimps_I3_J_1) ).

cnf(cls_event_Osimps_I3_J_0,axiom,
    ( V_agent = V_agent_H
    | c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ),
    file('theBenchmark.p',cls_event_Osimps_I3_J_0) ).

cnf(cls_Notes__imp__used_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oused(V_evs))) ),
    file('theBenchmark.p',cls_Notes__imp__used_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),
    file('theBenchmark.p',cls_knows__Says_0) ).

cnf(cls_type__definition_ORep__inverse_0,axiom,
    ( ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)
    | hAPP(V_Abs,hAPP(V_Rep,V_x)) = V_x ),
    file('theBenchmark.p',cls_type__definition_ORep__inverse_0) ).

cnf(cls_analz__insert__Key_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OkeysFor(c_Message_Oanalz(V_H))))
    | c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_analz__insert__Key_0) ).

cnf(cls_insert__code_1,axiom,
    hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
    file('theBenchmark.p',cls_insert__code_1) ).

cnf(cls_invKey_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K,
    file('theBenchmark.p',cls_invKey_0) ).

cnf(cls_event_Osimps_I1_J_2,axiom,
    ( V_msg = V_msg_H
    | c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) ),
    file('theBenchmark.p',cls_event_Osimps_I1_J_2) ).

cnf(cls_event_Osimps_I1_J_1,axiom,
    ( V_agent2 = V_agent2_H
    | c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) ),
    file('theBenchmark.p',cls_event_Osimps_I1_J_1) ).

cnf(cls_event_Osimps_I1_J_0,axiom,
    ( V_agent1 = V_agent1_H
    | c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) ),
    file('theBenchmark.p',cls_event_Osimps_I1_J_0) ).

cnf(cls_not__symKeys__priK_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Message_OsymKeys)),
    file('theBenchmark.p',cls_not__symKeys__priK_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),
    file('theBenchmark.p',cls_knows__Spy__Says_0) ).

cnf(cls_knows__Nil_0,axiom,
    c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A),
    file('theBenchmark.p',cls_knows__Nil_0) ).

cnf(cls_list_Oinject_0,axiom,
    ( V_a = V_a_H
    | c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
    file('theBenchmark.p',cls_list_Oinject_0) ).

cnf(cls_list_Oinject_1,axiom,
    ( V_list = V_list_H
    | c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
    file('theBenchmark.p',cls_list_Oinject_1) ).

cnf(cls_synthp_OInj_0,axiom,
    ( ~ hBOOL(hAPP(V_H,V_X))
    | hBOOL(c_Message_Osynthp(V_H,V_X)) ),
    file('theBenchmark.p',cls_synthp_OInj_0) ).

cnf(cls_priK__neq__shrK_0,axiom,
    hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)),
    file('theBenchmark.p',cls_priK__neq__shrK_0) ).

cnf(cls_analz__insert__cong_0,axiom,
    ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(V_X,V_H_H,tc_Message_Omsg))
    | c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H) ),
    file('theBenchmark.p',cls_analz__insert__cong_0) ).

cnf(cls_analz__idem_0,axiom,
    c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H),
    file('theBenchmark.p',cls_analz__idem_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),
    file('theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).

cnf(cls_Says__imp__knows_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(V_A,V_evs))) ),
    file('theBenchmark.p',cls_Says__imp__knows_0) ).

cnf(cls_shrK__neq__priK_0,axiom,
    hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A),
    file('theBenchmark.p',cls_shrK__neq__priK_0) ).

cnf(cls_publicKey__neq__privateKey_0,axiom,
    hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),
    file('theBenchmark.p',cls_publicKey__neq__privateKey_0) ).

cnf(cls_type__definition_ORep__range_0,axiom,
    ( ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)
    | c_Set_Oimage(V_Rep,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) = V_A ),
    file('theBenchmark.p',cls_type__definition_ORep__range_0) ).

cnf(cls_type__definition_OAbs__image_0,axiom,
    ( ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)
    | c_Set_Oimage(V_Abs,V_A,T_b,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_type__definition_OAbs__image_0) ).

cnf(cls_inj__image__eq__iff_0,axiom,
    ( V_A = V_B
    | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) ),
    file('theBenchmark.p',cls_inj__image__eq__iff_0) ).

cnf(cls_range__composition_0,axiom,
    c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a),
    file('theBenchmark.p',cls_range__composition_0) ).

cnf(cls_surj__range_0,axiom,
    ( ~ c_Fun_Osurj(V_f,T_a,T_b)
    | c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)) ),
    file('theBenchmark.p',cls_surj__range_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),
    file('theBenchmark.p',cls_pushes_I12_J_0) ).

cnf(cls_Key__synth__eq_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_Key__synth__eq_1) ).

cnf(cls_Key__synth_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H)) ),
    file('theBenchmark.p',cls_Key__synth_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),
    file('theBenchmark.p',cls_parts__insert__Crypt_0) ).

cnf(cls_top__fun__eq_0,axiom,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b)
    | ~ class_Orderings_Otop(T_b) ),
    file('theBenchmark.p',cls_top__fun__eq_0) ).

cnf(cls_Sup__UNIV_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Otop__class_Otop(T_a)
    | ~ class_Complete__Lattice_Ocomplete__lattice(T_a) ),
    file('theBenchmark.p',cls_Sup__UNIV_0) ).

cnf(cls_pushes_I5_J_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    file('theBenchmark.p',cls_pushes_I5_J_0) ).

cnf(cls_parts__insert__Key_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg),
    file('theBenchmark.p',cls_parts__insert__Key_0) ).

cnf(cls_parts__image__Key_0,axiom,
    c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg),
    file('theBenchmark.p',cls_parts__image__Key_0) ).

cnf(cls_synth_OAgent_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OAgent(V_agt)),c_Message_Osynth(V_H))),
    file('theBenchmark.p',cls_synth_OAgent_0) ).

cnf(cls_Agent__synth_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OAgent(V_A)),c_Message_Osynth(V_H))),
    file('theBenchmark.p',cls_Agent__synth_0) ).

cnf(cls_analz__Decrypt_H_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Oanalz(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_analz__Decrypt_H_0) ).

cnf(cls_synthp_OCrypt_0,axiom,
    ( ~ hBOOL(c_Message_Osynthp(V_H,V_X))
    | ~ hBOOL(hAPP(V_H,hAPP(c_Message_Omsg_OKey,V_K)))
    | hBOOL(c_Message_Osynthp(V_H,c_Message_Omsg_OCrypt(V_K,V_X))) ),
    file('theBenchmark.p',cls_synthp_OCrypt_0) ).

cnf(cls_pushes_I6_J_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    file('theBenchmark.p',cls_pushes_I6_J_0) ).

cnf(cls_NS3__msg__in__parts__spies_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))) ),
    file('theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).

cnf(cls_parts__insert__Agent_0,axiom,
    c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg),
    file('theBenchmark.p',cls_parts__insert__Agent_0) ).

cnf(cls_pushes_I8_J_0,axiom,
    c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    file('theBenchmark.p',cls_pushes_I8_J_0) ).

cnf(cls_analz__spies__pubK_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))),
    file('theBenchmark.p',cls_analz__spies__pubK_0) ).

cnf(cls_pushes_I1_J_0,axiom,
    c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
    file('theBenchmark.p',cls_pushes_I1_J_0) ).

cnf(cls_sym__shrK_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,V_X)),c_Message_OsymKeys)),
    file('theBenchmark.p',cls_sym__shrK_0) ).

cnf(cls_publicKey__image__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat)))
    | V_b = V_c ),
    file('theBenchmark.p',cls_publicKey__image__eq_0) ).

cnf(cls_knows__Spy__Notes_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ),
    file('theBenchmark.p',cls_knows__Spy__Notes_1) ).

cnf(cls_ns__shared_ONil_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_ONil(tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared)),
    file('theBenchmark.p',cls_ns__shared_ONil_0) ).

cnf(cls_inj__shrK_0,axiom,
    c_Fun_Oinj__on(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),
    file('theBenchmark.p',cls_inj__shrK_0) ).

cnf(cls_Server__not__bad_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),c_Message_Oagent_OServer),c_Event_Obad)),
    file('theBenchmark.p',cls_Server__not__bad_0) ).

cnf(cls_Says__Server__message__form_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))))),c_List_Oset(V_evs,tc_Event_Oevent)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat))) ),
    file('theBenchmark.p',cls_Says__Server__message__form_0) ).

cnf(cls_new__keys__not__used_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Event_Oused(V_evs)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))) ),
    file('theBenchmark.p',cls_new__keys__not__used_0) ).

cnf(cls_inj__image__mem__iff_1,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_A,T_a,T_b))) ),
    file('theBenchmark.p',cls_inj__image__mem__iff_1) ).

cnf(cls_inj__image__mem__iff_0,axiom,
    ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_A,T_a,T_b)))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ),
    file('theBenchmark.p',cls_inj__image__mem__iff_0) ).

cnf(cls_rangeE_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)))
    | V_b = hAPP(V_f,c_ATP__Linkup_Osko__Set__XrangeE__1__1(V_b,V_f,T_a,T_b)) ),
    file('theBenchmark.p',cls_rangeE_0) ).

cnf(cls_Crypt__notin__initState_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Oparts(c_Event_OinitState(V_B)))),
    file('theBenchmark.p',cls_Crypt__notin__initState_0) ).

cnf(cls_Crypt__notin__image__Key_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg))),
    file('theBenchmark.p',cls_Crypt__notin__image__Key_0) ).

cnf(cls_Crypt__synth__eq_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_Crypt__synth__eq_1) ).

cnf(cls_Crypt__synth__eq_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H)) ),
    file('theBenchmark.p',cls_Crypt__synth__eq_0) ).

cnf(cls_Crypt__synth_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H)) ),
    file('theBenchmark.p',cls_Crypt__synth_1) ).

cnf(cls_synth_OCrypt_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(V_H))) ),
    file('theBenchmark.p',cls_synth_OCrypt_0) ).

cnf(cls_Key__image__eq_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_x),V_A))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_x)),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg))) ),
    file('theBenchmark.p',cls_Key__image__eq_1) ).

cnf(cls_Key__image__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_x)),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg)))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),V_x),V_A)) ),
    file('theBenchmark.p',cls_Key__image__eq_0) ).

cnf(cls_shrK__in__initState_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Event_OinitState(V_A))),
    file('theBenchmark.p',cls_shrK__in__initState_0) ).

cnf(cls_shrK__in__used_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Event_Oused(V_evs))),
    file('theBenchmark.p',cls_shrK__in__used_0) ).

cnf(cls_neq__shrK_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B))),c_Event_Oused(V_evs))),
    file('theBenchmark.p',cls_neq__shrK_0) ).

cnf(cls_Spy__spies__bad__privateKey_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))) ),
    file('theBenchmark.p',cls_Spy__spies__bad__privateKey_0) ).

cnf(cls_publicKey__notin__image__shrK_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat))),
    file('theBenchmark.p',cls_publicKey__notin__image__shrK_0) ).

cnf(cls_shrK__notin__image__publicKey_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,V_x)),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat))),
    file('theBenchmark.p',cls_shrK__notin__image__publicKey_0) ).

cnf(cls_publicKey__image__eq_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_xa),V_AA))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_x),V_xa)),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat))) ),
    file('theBenchmark.p',cls_publicKey__image__eq_2) ).

cnf(cls_publicKey__image__eq_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_x),V_AA)) ),
    file('theBenchmark.p',cls_publicKey__image__eq_1) ).

cnf(cls_A__trusts__NS2_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))
    | hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))))),c_List_Oset(V_evs,tc_Event_Oevent))) ),
    file('theBenchmark.p',cls_A__trusts__NS2_0) ).

cnf(cls_analz__shrK__Decrypt_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X)),c_Message_Oanalz(V_H)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H))) ),
    file('theBenchmark.p',cls_analz__shrK__Decrypt_0) ).

cnf(cls_usedI_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Event_Oused(V_evs))) ),
    file('theBenchmark.p',cls_usedI_0) ).

cnf(cls_spies__pubK_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),
    file('theBenchmark.p',cls_spies__pubK_0) ).

cnf(cls_Key__not__used_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Event_Oused(V_evs)))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat))) ),
    file('theBenchmark.p',cls_Key__not__used_0) ).

cnf(cls_Crypt__Spy__analz__bad_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))) ),
    file('theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).

cnf(cls_Spy__analz__shrK_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad)) ),
    file('theBenchmark.p',cls_Spy__analz__shrK_0) ).

cnf(cls_Spy__analz__shrK_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))) ),
    file('theBenchmark.p',cls_Spy__analz__shrK_1) ).

cnf(cls_msg_Osimps_I1_J_0,axiom,
    ( V_agent = V_agent_H
    | c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H) ),
    file('theBenchmark.p',cls_msg_Osimps_I1_J_0) ).

cnf(cls_parts_OSnd_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oparts(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oparts(V_H))) ),
    file('theBenchmark.p',cls_parts_OSnd_0) ).

cnf(cls_parts_OFst_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oparts(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H))) ),
    file('theBenchmark.p',cls_parts_OFst_0) ).

cnf(cls_msg_Osimps_I12_J_0,axiom,
    c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H),
    file('theBenchmark.p',cls_msg_Osimps_I12_J_0) ).

cnf(cls_parts_OInj_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),V_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H))) ),
    file('theBenchmark.p',cls_parts_OInj_0) ).

cnf(cls_Spy__in__bad_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),c_Message_Oagent_OSpy),c_Event_Obad)),
    file('theBenchmark.p',cls_Spy__in__bad_0) ).

cnf(cls_msg_Osimps_I43_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat),
    file('theBenchmark.p',cls_msg_Osimps_I43_J_0) ).

cnf(cls_parts__idem_0,axiom,
    c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
    file('theBenchmark.p',cls_parts__idem_0) ).

cnf(cls_top1I_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)),
    file('theBenchmark.p',cls_top1I_0) ).

cnf(cls_msg_Osimps_I17_J_0,axiom,
    c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent),
    file('theBenchmark.p',cls_msg_Osimps_I17_J_0) ).

cnf(cls_parts_OBody_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Oparts(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H))) ),
    file('theBenchmark.p',cls_parts_OBody_0) ).

cnf(cls_Spy__see__shrK_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))) ),
    file('theBenchmark.p',cls_Spy__see__shrK_1) ).

cnf(cls_Spy__see__shrK_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad)) ),
    file('theBenchmark.p',cls_Spy__see__shrK_0) ).

cnf(cls_UNIV__I_0,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))),
    file('theBenchmark.p',cls_UNIV__I_0) ).

cnf(cls_parts__partsD_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(c_Message_Oparts(V_H))))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H))) ),
    file('theBenchmark.p',cls_parts__partsD_0) ).

cnf(cls_msg_Osimps_I4_J_0,axiom,
    ( V_nat = V_nat_H
    | hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ),
    file('theBenchmark.p',cls_msg_Osimps_I4_J_0) ).

cnf(cls_msg_Osimps_I16_J_0,axiom,
    c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
    file('theBenchmark.p',cls_msg_Osimps_I16_J_0) ).

cnf(cls_Spy__spies__bad__shrK_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))) ),
    file('theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).

cnf(cls_msg_Osimps_I18_J_0,axiom,
    c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
    file('theBenchmark.p',cls_msg_Osimps_I18_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),
    file('theBenchmark.p',cls_msg_Osimps_I48_J_0) ).

cnf(cls_msg_Osimps_I19_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent),
    file('theBenchmark.p',cls_msg_Osimps_I19_J_0) ).

cnf(cls_shrK__in__knows_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Event_Oknows(V_A,V_evs))),
    file('theBenchmark.p',cls_shrK__in__knows_0) ).

cnf(cls_msg_Osimps_I13_J_0,axiom,
    hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent),
    file('theBenchmark.p',cls_msg_Osimps_I13_J_0) ).

cnf(cls_mem__def_1,axiom,
    ( ~ hBOOL(hAPP(V_S,V_x))
    | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ),
    file('theBenchmark.p',cls_mem__def_1) ).

cnf(cls_mem__def_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
    | hBOOL(hAPP(V_S,V_x)) ),
    file('theBenchmark.p',cls_mem__def_0) ).

cnf(cls_rangeI_0,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a))),
    file('theBenchmark.p',cls_rangeI_0) ).

cnf(cls_msg_Osimps_I7_J_0,axiom,
    ( V_nat = V_nat_H
    | c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
    file('theBenchmark.p',cls_msg_Osimps_I7_J_0) ).

cnf(cls_msg_Osimps_I7_J_1,axiom,
    ( V_msg = V_msg_H
    | c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
    file('theBenchmark.p',cls_msg_Osimps_I7_J_1) ).

cnf(cls_msg_Osimps_I6_J_0,axiom,
    ( V_msg1 = V_msg1_H
    | c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
    file('theBenchmark.p',cls_msg_Osimps_I6_J_0) ).

cnf(cls_msg_Osimps_I6_J_1,axiom,
    ( V_msg2 = V_msg2_H
    | c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
    file('theBenchmark.p',cls_msg_Osimps_I6_J_1) ).

cnf(cls_shrK__image__eq_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_x),V_AA))
    | hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat))) ),
    file('theBenchmark.p',cls_shrK__image__eq_1) ).

cnf(cls_shrK__image__eq_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_x),V_AA)) ),
    file('theBenchmark.p',cls_shrK__image__eq_0) ).

cnf(cls_msg_Osimps_I49_J_0,axiom,
    c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2),
    file('theBenchmark.p',cls_msg_Osimps_I49_J_0) ).

cnf(cls_msg_Osimps_I40_J_0,axiom,
    hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
    file('theBenchmark.p',cls_msg_Osimps_I40_J_0) ).

cnf(cls_msg_Osimps_I41_J_0,axiom,
    c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat),
    file('theBenchmark.p',cls_msg_Osimps_I41_J_0) ).

cnf(cls_msg_Osimps_I42_J_0,axiom,
    hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
    file('theBenchmark.p',cls_msg_Osimps_I42_J_0) ).

cnf(cls_shrK__injective_0,axiom,
    ( V_x = V_y
    | hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y) ),
    file('theBenchmark.p',cls_shrK__injective_0) ).

cnf(cls_rev__image__eqI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a)))
    | ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A)) ),
    file('theBenchmark.p',cls_rev__image__eqI_0) ).

cnf(cls_image__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a)))
    | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ),
    file('theBenchmark.p',cls_image__iff_2) ).

cnf(cls_image__eqI_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ),
    file('theBenchmark.p',cls_image__eqI_0) ).

cnf(cls_imageI_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
    | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b))) ),
    file('theBenchmark.p',cls_imageI_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),
    file('theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)),
    file('theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
    file('theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ( hBOOL(hAPP(hAPP(c_in(tc_nat),v_K),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))
    | v_X != c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))) ),
    file('theBenchmark.p',cls_conjecture_3) ).

cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(T_1)
    | class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ),
    file('theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).

cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
    ( ~ class_Lattices_Olattice(T_1)
    | class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) ),
    file('theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).

cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
    ( ~ class_Lattices_Obounded__lattice(T_1)
    | class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ),
    file('theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).

cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
    ( ~ class_Finite__Set_Ofinite_Ofinite(T_2)
    | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
    | class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1)) ),
    file('theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).

cnf(clsarity_fun__Orderings_Opreorder,axiom,
    ( ~ class_Orderings_Opreorder(T_1)
    | class_Orderings_Opreorder(tc_fun(T_2,T_1)) ),
    file('theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

cnf(clsarity_fun__Lattices_Olattice,axiom,
    ( ~ class_Lattices_Olattice(T_1)
    | class_Lattices_Olattice(tc_fun(T_2,T_1)) ),
    file('theBenchmark.p',clsarity_fun__Lattices_Olattice) ).

cnf(clsarity_fun__Orderings_Oorder,axiom,
    ( ~ class_Orderings_Oorder(T_1)
    | class_Orderings_Oorder(tc_fun(T_2,T_1)) ),
    file('theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

cnf(clsarity_fun__Orderings_Otop,axiom,
    ( ~ class_Orderings_Otop(T_1)
    | class_Orderings_Otop(tc_fun(T_2,T_1)) ),
    file('theBenchmark.p',clsarity_fun__Orderings_Otop) ).

cnf(clsarity_fun__Orderings_Obot,axiom,
    ( ~ class_Orderings_Obot(T_1)
    | class_Orderings_Obot(tc_fun(T_2,T_1)) ),
    file('theBenchmark.p',clsarity_fun__Orderings_Obot) ).

cnf(clsarity_fun__HOL_Oord,axiom,
    ( ~ class_HOL_Oord(T_1)
    | class_HOL_Oord(tc_fun(T_2,T_1)) ),
    file('theBenchmark.p',clsarity_fun__HOL_Oord) ).

cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    file('theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).

cnf(clsarity_nat__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

cnf(clsarity_nat__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

cnf(clsarity_nat__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_nat),
    file('theBenchmark.p',clsarity_nat__Lattices_Olattice) ).

cnf(clsarity_nat__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_nat),
    file('theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

cnf(clsarity_nat__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_nat),
    file('theBenchmark.p',clsarity_nat__Orderings_Obot) ).

cnf(clsarity_nat__HOL_Oord,axiom,
    class_HOL_Oord(tc_nat),
    file('theBenchmark.p',clsarity_nat__HOL_Oord) ).

cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    file('theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).

cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    file('theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).

cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    file('theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).

cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    file('theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).

cnf(clsarity_bool__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

cnf(clsarity_bool__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_bool),
    file('theBenchmark.p',clsarity_bool__Lattices_Olattice) ).

cnf(clsarity_bool__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_bool),
    file('theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

cnf(clsarity_bool__Orderings_Otop,axiom,
    class_Orderings_Otop(tc_bool),
    file('theBenchmark.p',clsarity_bool__Orderings_Otop) ).

cnf(clsarity_bool__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_bool),
    file('theBenchmark.p',clsarity_bool__Orderings_Obot) ).

cnf(clsarity_bool__HOL_Oord,axiom,
    class_HOL_Oord(tc_bool),
    file('theBenchmark.p',clsarity_bool__HOL_Oord) ).

cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
    c_fequal(V_x,V_x,T_a),
    file('theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
    ( ~ c_fequal(V_X,V_Y,T_a)
    | V_X = V_Y ),
    file('theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

cnf(cls_analz__image__freshK__lemma_1_simplified,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool)))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H))) ),
    inference(simplify_clause,[status(thm)],[cls_analz__image__freshK__lemma_1]) ).

cnf(cls_analz__image__freshK__lemma_5_simplified,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))))) ),
    inference(simplify_clause,[status(thm)],[cls_analz__image__freshK__lemma_5]) ).

cnf(cls_analz__image__freshK__lemma_2_simplified,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE))
    | hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))))) ),
    inference(simplify_clause,[status(thm)],[cls_analz__image__freshK__lemma_2]) ).

cnf(cls_analz__image__freshK__lemma_0_simplified,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool)))))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE)) ),
    inference(simplify_clause,[status(thm)],[cls_analz__image__freshK__lemma_0]) ).

cnf(equality_1,axiom,
    Eq_x_0 = Eq_x_0,
    theory(equality,[reflexivity]) ).

cnf(equality_2,axiom,
    ( Eq_x_1 = Eq_x_0
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[symmetry]) ).

cnf(equality_3,axiom,
    ( Eq_x_0 = Eq_x_2
    | Eq_x_1 != Eq_x_2
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[transitivity]) ).

cnf(equality_4,axiom,
    ( tc_fun(Eq_x_0,Eq_x_1) = tc_fun(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_5,axiom,
    ( c_Orderings_Obot__class_Obot(Eq_x_0) = c_Orderings_Obot__class_Obot(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_6,axiom,
    ( c_Set_Oinsert(Eq_x_0,Eq_x_1,Eq_x_2) = c_Set_Oinsert(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_7,axiom,
    ( c_Message_Oparts(Eq_x_0) = c_Message_Oparts(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_8,axiom,
    ( c_Message_Oanalz(Eq_x_0) = c_Message_Oanalz(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_9,axiom,
    ( c_Message_Osynth(Eq_x_0) = c_Message_Osynth(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_10,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(Eq_x_0,Eq_x_1,Eq_x_2) = c_Lattices_Oupper__semilattice__class_Osup(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_11,axiom,
    ( c_in(Eq_x_0) = c_in(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_12,axiom,
    ( hAPP(Eq_x_0,Eq_x_1) = hAPP(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_13,axiom,
    ( c_Event_Oevent_ONotes(Eq_x_0,Eq_x_1) = c_Event_Oevent_ONotes(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_14,axiom,
    ( c_List_Olist_OCons(Eq_x_0,Eq_x_1,Eq_x_2) = c_List_Olist_OCons(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_15,axiom,
    ( c_Event_Oused(Eq_x_0) = c_Event_Oused(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_16,axiom,
    ( c_Event_Oevent_OSays(Eq_x_0,Eq_x_1,Eq_x_2) = c_Event_Oevent_OSays(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_17,axiom,
    ( c_Message_OkeysFor(Eq_x_0) = c_Message_OkeysFor(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_18,axiom,
    ( c_Event_Oknows(Eq_x_0,Eq_x_1) = c_Event_Oknows(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_19,axiom,
    ( c_Event_OinitState(Eq_x_0) = c_Event_OinitState(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_20,axiom,
    ( c_Public_OpublicKey(Eq_x_0) = c_Public_OpublicKey(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_21,axiom,
    ( c_Orderings_Otop__class_Otop(Eq_x_0) = c_Orderings_Otop__class_Otop(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_22,axiom,
    ( c_Set_Oimage(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Set_Oimage(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_23,axiom,
    ( c_COMBC(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_COMBC(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_24,axiom,
    ( c_Message_Omsg_ONonce(Eq_x_0) = c_Message_Omsg_ONonce(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_25,axiom,
    ( c_Hilbert__Choice_Oinv__into(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Hilbert__Choice_Oinv__into(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_26,axiom,
    ( c_Event_Oevent_OGets(Eq_x_0,Eq_x_1) = c_Event_Oevent_OGets(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_27,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(Eq_x_0,Eq_x_1) = c_Complete__Lattice_OSup__class_OSup(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_28,axiom,
    ( c_Message_Omsg_OHash(Eq_x_0) = c_Message_Omsg_OHash(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_29,axiom,
    ( c_Message_Osynthp(Eq_x_0,Eq_x_1) = c_Message_Osynthp(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_30,axiom,
    ( c_Message_Omsg_OMPair(Eq_x_0,Eq_x_1) = c_Message_Omsg_OMPair(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_31,axiom,
    ( c_Message_Omsg_OCrypt(Eq_x_0,Eq_x_1) = c_Message_Omsg_OCrypt(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_32,axiom,
    ( c_Message_Omsg_OAgent(Eq_x_0) = c_Message_Omsg_OAgent(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_33,axiom,
    ( c_List_Olist_ONil(Eq_x_0) = c_List_Olist_ONil(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_34,axiom,
    ( c_COMBB(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_COMBB(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_35,axiom,
    ( c_List_Oset(Eq_x_0,Eq_x_1) = c_List_Oset(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_36,axiom,
    ( c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_37,axiom,
    ( c_NS__Shared__Mirabelle_Ons__sharedp(Eq_x_0) = c_NS__Shared__Mirabelle_Ons__sharedp(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_38,axiom,
    ( tc_List_Olist(Eq_x_0) = tc_List_Olist(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_39,axiom,
    ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_40,axiom,
    ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_41,axiom,
    ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_42,axiom,
    ( c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(Eq_x_0,Eq_x_1) = c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_43,axiom,
    ( c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(Eq_x_0,Eq_x_1) = c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_44,axiom,
    ( c_ATP__Linkup_Osko__Set__XrangeE__1__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_ATP__Linkup_Osko__Set__XrangeE__1__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_45,axiom,
    ( c_lessequals(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ c_lessequals(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_46,axiom,
    ( hBOOL(Eq_y_0)
    | ~ hBOOL(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_47,axiom,
    ( class_Lattices_Oupper__semilattice(Eq_y_0)
    | ~ class_Lattices_Oupper__semilattice(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_48,axiom,
    ( c_Fun_Oinj__on(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | ~ c_Fun_Oinj__on(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_49,axiom,
    ( class_Lattices_Olattice(Eq_y_0)
    | ~ class_Lattices_Olattice(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_50,axiom,
    ( c_Finite__Set_Ofinite(Eq_y_0,Eq_y_1)
    | ~ c_Finite__Set_Ofinite(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_51,axiom,
    ( class_Orderings_Obot(Eq_y_0)
    | ~ class_Orderings_Obot(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_52,axiom,
    ( class_Complete__Lattice_Ocomplete__lattice(Eq_y_0)
    | ~ class_Complete__Lattice_Ocomplete__lattice(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_53,axiom,
    ( class_Lattices_Obounded__lattice(Eq_y_0)
    | ~ class_Lattices_Obounded__lattice(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_54,axiom,
    ( c_Fun_Osurj(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ c_Fun_Osurj(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_55,axiom,
    ( c_Fun_Obij(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ c_Fun_Obij(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_56,axiom,
    ( class_Orderings_Oorder(Eq_y_0)
    | ~ class_Orderings_Oorder(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_57,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(Eq_y_0)
    | ~ class_Finite__Set_Ofinite_Ofinite(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_58,axiom,
    ( class_HOL_Oord(Eq_y_0)
    | ~ class_HOL_Oord(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_59,axiom,
    ( class_Orderings_Otop(Eq_y_0)
    | ~ class_Orderings_Otop(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_60,axiom,
    ( class_Orderings_Opreorder(Eq_y_0)
    | ~ class_Orderings_Opreorder(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_61,axiom,
    ( class_Orderings_Olinorder(Eq_y_0)
    | ~ class_Orderings_Olinorder(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_62,axiom,
    ( c_Typedef_Otype__definition(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | ~ c_Typedef_Otype__definition(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_63,axiom,
    ( c_fequal(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ c_fequal(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV731-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.01  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.02  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/10.32  % Computer : n012.cluster.edu
% 0.05/10.32  % Model    : x86_64 x86_64
% 0.05/10.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/10.32  % Memory   : 8046.5625MB
% 0.05/10.32  % OS       : Linux 6.8.0-71-generic
% 0.05/10.32  % CPULimit : 300
% 0.05/10.32  % WCLimit  : 300
% 0.05/10.32  % DateTime : Sun Sep 20 04:36:12 UTC 2026
% 0.05/10.32  % CPUTime  : 
% 36.04/46.37  % SZS status Unsatisfiable for theBenchmark
% 36.04/46.37  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------